х
3
3
Right triangle similarity
What is the value of x

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Answer 2

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?


Related Questions

In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.

Answers

Answer:

26

Step-by-step explanation:

2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26

Answer:

26

Step-by-step explanation:

i did it i got it correct!!!

This dot plot is not symmetric, and the data set has two
extreme values.
1 2 3 4
6 7 8 9 10
What is the best measure of center for this dot plot?
O A. The interquartile range (IQR)
O B. The mean
O C. The mean absolute deviation (MAD)
O D. The median

This dot plot is not symmetric, and the data set has twoextreme values.1 2 3 46 7 8 9 10What is the best

Answers

Answer:

D

Step-by-step explanation:

In a sample of 1000 cases, the mean of a certain test is 14 and the standard deviation is 2.5. Assume the distribution to be normal. The top 20% of the students will score how many points above the mean

Answers

Answer:

The top 20% of the students will score at least 2.1 points above the mean.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The mean of a certain test is 14 and the standard deviation is 2.5.

This means that \(\mu = 14, \sigma = 2.5\)

The top 20% of the students will score how many points above the mean

Their score is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84.

Their score is:

\(Z = \frac{X - \mu}{\sigma}\)

\(0.84 = \frac{X - 14}{2.5}\)

\(X - 14 = 0.84*2.5\)

\(X = 16.1\)

16.1 - 14 = 2.1

The top 20% of the students will score at least 2.1 points above the mean.

jacob said the product of 8/9 and 2 and 3/4 is 3 and 1/4. how can you tell that his answer is wrong?

Answers

Answer:

he is wrong becuase 89 times a number greater than 0 cannot result in a product greater than the number

Step-by-step explanation:

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

How to infer the correctness of a product?

The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:

  Given;   Definition of multiplication

 8/9 and 2  = 26/9

3/4

The product is;

26/9 x 3/4

= 13 x 1/6

= 13/6

Based on real algebra properties, we know that the product of  8/9 and 2 and 3/4 is not 3 and 1/4.

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4x=2y-9 plus -8x+6y=6

Answers

Answer:

-4x+4y+3=0

Step-by-step explanation:

(4x-2y+9=0)+(-8x+6y-6=0)

Add like terms:

-4x+4y+3=0

A committee of four people is formed by selecting members from a list of 12 people.
How many different committees can be formed?

__ committees

Answers

The number of different committees that can be formed is 495

How many different committees can be formed?

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2.

Answers

The length of the line segment after the dilation with a scale factor of 2 is given by the equation A' = L ( 2 ) , where L is the length of the segment

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the length of the line segment be represented as L

Now , the dilation factor is represented as d = 2

And , the dilation centered at the origin

So , the length of the line segment after the dilation is A'

On simplifying the equation , we get

The length of the line segment after the dilation A' = L x ( dilation factor )

The length of the line segment after the dilation A' = L ( 2 )

Hence , the dilation A' = 2L

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A bride is choosing a dress for her bridesmaids. If there are 4 styles, 7 colors, and 5 fabrics, in how many ways can she select the bridesmaids' dress?

Answers

Answer: 60

Step-by-step explanation: multiply 4,7,and 5

She can select the bridesmaids' dress in 140 possible ways.

What is Permutation?

Permutation represents each of the several possible ways in which a set or number of things can be ordered or arranged.

Given is a bride who is choosing a dress for her bridesmaids which are available in 4 styles, 7 colors, and 5 fabrics.

Now, for every possible style there exist a dress for that color. So, with 4 styles and 7 colors, the total number of possible dresses will be = 7 x 4 = 28. Now, for these 28 dresses, their are 5 different fabric available, so the total number of possible ways or dresses from which she can select the dress are = 28 x 5 = 140

Therefore, she can select the bridesmaids' dress in 140 possible ways.

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What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9

Answers

Answer:

-12 + 20x ≥ -6x + 9

Fourth choice

Step-by-step explanation:

Inequalities

We are given the inequality:

-4(3 - 5x) ≥ -6x + 9

Solving the inequality implies having x isolated on one of the sides.

We must start by removing the parentheses. It will be done by multiplying -4 by (3 - 5x). Since this operation doesn't imply multiplying all the inequality by a negative number, the sign won't be flipped:

-4*3 - (-4)5x ≥ -6x + 9

Multiplying:

-12 + 20x ≥ -6x + 9

Fourth choice

pls help I'll mark brainliest​

pls help I'll mark brainliest

Answers

.38, .37, and .36 are all less than 1

A circle with a centre 0, has an equation x2 + y2 = 25
The coordinate A (4,3) is on the circumference of the circle.
Find the equation of the tangent at point A.

Answers

The linear equation of the tangent at point A is given by:

\(y = \frac{-4x + 25}{3}\)

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

\(2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0\)

\(\frac{dy}{dx} = -\frac{x}{y}\)

\(\frac{dy}{dx} = -\frac{4}{3}\)

Then:

\(y = -\frac{4}{3}x + b\)

We use point (4,3) to find b, hence:

\(y = -\frac{4}{3}x + b\)

\(3 = -\frac{16}{3} + b\)

\(b = \frac{25}{3}\)

Hence, the equation is:

\(y = \frac{-4x + 25}{3}\)

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IS THIS CORRECT? THANK YOU

IS THIS CORRECT? THANK YOU

Answers

Answer:

yes its correct

Step-by-step explanation:

YES

I GOT THE POWER OF GOD AND ANIME ON MY SIDE

In 1990, tests showed that water in a lake was polluted with 7 milligrams of mercury compounds per 1000 liters of water. Cleaning up the lake became an immediate priority, and environmentalists determined that the pollution level would drop at the rate of 0.75 milligrams of mercury compounds per 1000 liters of water per year if all of their recommendations were followed. If 1990 corresponds to x = 0, find the equation of the line that allows the environmentalists to predict the pollution level y in future years if their recommendations are followed. Sketch the graph of the equation and determine when the lake will be free of mercury pollution according to this graph.

Answers

Answer:

Step-by-step explanation:

First, we need to make the Equation

As the rate of change in mercury compound per year is 0.75 mg per thousand liter, So

m = -0.75

Equation of the line will be as follow

y = -0.75x + c

In 1990

x = 0

Y( 0 ) = 7

Placing values in the equation

7 = -0.75 (0) + c

7 = c

Now the Equation will be as follow

y = 0.75x + 7    

Grasph is attached with this asnwer please find it.

In 1990, tests showed that water in a lake was polluted with 7 milligrams of mercury compounds per 1000

Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.

Answers

No, I don't agree with Sundeep. The mixture wont simply add up

How to show the volume will not be 400 ml

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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4 in.
3 in.
2 in.
2 in.
6 in.
Find the surface area.
square inches
(Hint: The rectangular faces
are different sizes.)

4 in.3 in.2 in.2 in.6 in.Find the surface area.square inches(Hint: The rectangular facesare different

Answers

Answer:

The correct answer is 5in

Step-by-step explanation:

6+4=10÷2=5in

Find the length of DC.

Find the length of DC.

Answers

Answer:

sqart(89) in

Step-by-step explanation:

As triangle ABC is a right triangle, so sqrt(5^2 + 8^2) = sqrt(89) approximately 9.43 in.

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

PLS HURRY I AM GIVING BRAINLIEST!!!the question is in the photo!!

Answers

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Please help me with this

Answers

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

How to explain the function

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Who was in command of the Texan forces at the Alamo

Answers

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer: The LARGEST angle has a measure of
degrees.

Answers

The largest angle of the triangle is ∠C = 66°

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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A box has the shape of a rectangular prism with height 28 cm. If the height is increased by 0.2cm, by how much does the surface area of the box increase? L=13 W=8.7 H=28

Answers

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Fill in the table using this function rule.
f(x) = √√x+6
Simplify your answers as much as possible.
Click "Not a real number" if applicable.

Fill in the table using this function rule.f(x) = x+6Simplify your answers as much as possible.Click

Answers

The table of values for the function rule y = √(x + 6) is

x | f(x)

-15 | Not a real number

6 | 0

19 |  5

75 | 9

How to complete the table of values

From the question, we have the following parameters that can be used in our computation:

y = √(x + 6)

To fill in a table using a function rule, we apply the function rule to each input to calculate the corresponding output, and write these values in the right-hand column of the table

We have the x values to be

x = -15, -6, 19 and 75

Substitute the known values in the above equation, so, we have the following representation

y = √(-15 + 6) = Not a real number

y = √(-6 + 6) = 0

y = √(19 + 6) = 5

y = √(75 + 6) = 9

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the standard form of a quadratic equation is ax^2+bc+c=0 identify the values of a,b and c in the quadratic equation 2x^2-5x+4=8x-6 with a>0​

Answers

Answer:

a = 2, b = -13 and c = 10

Step-by-step explanation:

The given quadratic equation, 2x^2-5x+4=8x-6, must be rewritten in standard form before a, b and c can be identified.

Combining like terms in 2x^2-5x+4=8x-6, we get:

2x^2 - 13x + 10

Then a = 2, b = -13 and c = 10.

At the Madison Ski Resort, it snowed 5 feet yesterday and 2/3 of a foot today. How much more did it snow yesterday than today?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

4 1/3

Step-by-step explanation:

this is just a subtraction problem. What you know is that it snowed 5ft yesterday and 2/3ft today. So that means that the amount of more snow yesterday can be calculated with 5 - 2/3ft (this will show how much more snow there was yesterday). The result of this expression would be 4 1/3. Hope this helps!

ryann has 80$ to spend on gifts. She already decided to use $25 for a scarf for her grandmother. She wants to spend the reaming money to purchase gifts for her four freinds. She will spend the same amount of money for each friend's gift. What is the most she can spend on each friend?

Answers

Answer:

Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.

Now that she has 55 dollars, she will divide it up evenly between her 4 friends.

55/4 = 13.75

The most that she would be able to give them is $13.75

Step-by-step explanation:

Hope it helps! =D

The most is $13.75 if she want to give all of her friends a gift

PLEASE HELP ME
A pyramid has a row of 100 blocks in the first row, 96 blocks in the
second row, and 92 blocks in the third row. (A) Write an explicit rule to
model the number of blocks in the nth row of the pyramid. (B) Use the rule
to find how many blocks are in the 17th row.

Answers

Answer:

3196

Step-by-step explanation:

A. You Add all the blocks.

B. Then you multiply 17 x your answer then you get your answer.

-8+r>-8
please show work

Answers

Hello there!

-8+r>-8

Move all the numbers to the right:

r>-8+8

r>0

Hope it helps!

~Just a joyful teen

\(GraceRosalia\)

In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.

Give your answers as decimals, to three places

< p <










What is the expected value of �?

Answers

The confidence interval is 0.559 < p < 0.641 and expected value is 0.600

Confidence Interval

To construct a confidence interval for the true population proportion, we can use the formula:

p ± Z * √((p × (1 - p)) / n)

Where:

p = sample proportion (336/560)

Z = critical value for the desired confidence level

95% confidence = Z-value of approximately 1.96

n = 560

Let's calculate the confidence interval:

p = 336/560 ≈ 0.600

Z ≈ 1.96 (for a 95% confidence level)

n = 560

Plugging these values into the formula:

p ± Z × √((p × (1 - p)) / n)

0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)

0.600 ± 1.96 × √((0.240) / 560)

0.600 ± 1.96 × √(0.0004285714)

0.600 ± 1.96 × 0.020709611

0.600 ± 0.040564459

The confidence interval is:

0.559 < p < 0.641

Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.

The expected value

For proportions, the expected value is simply the sample proportion, which is approximately 0.600.

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Afiq. Bala and Chin played a game of marbles. Before the game, Bala had fewer marbles than Afig and Chinhad?
- as many marbles as Bala.
After the game, Balahad lost 20% of his marbles to Chinwhile Afig had lost
3
of his marbles to Chin. Chingained 105 marbles at the end of the
game.
(a)How many marbles didChinhave after the game?
(b)After the game, the 3 children each bought another 40 marbles. How manymarbles did the 3 children have altogether?

Afiq. Bala and Chin played a game of marbles. Before the game, Bala had fewer marbles than Afig and Chinhad?-

Answers

(a) Chin had 93.1 marbles after the game.

(b) The three children had a total of 271.44 marbles altogether.

Let's break down the problem step by step to find the answers:

Initial marbles

Before the game:

Let's assume Afiq had x marbles.

Bala had 1/6 fewer marbles than Afiq, so Bala had (x - 1/6x) marbles.

Chin had 3/5 as many marbles as Bala, so Chin had (3/5)(x - 1/6x) marbles.

After the game

After the game, Bala lost 20% of his marbles to Chin, so he has 80% (or 0.8) of his initial marbles remaining.

Afiq lost 2/3 of his marbles to Chin, so he has 1/3 (or 0.33) of his initial marbles remaining.

Calculating the marbles

(a) How many marbles did Chin have after the game?

To find Chin's marbles after the game, we add the marbles gained from Bala to Chin's initial marbles and the marbles gained from Afiq to Chin's initial marbles.

Chin's marbles = Initial marbles + Marbles gained from Bala + Marbles gained from Afiq

Chin's marbles = (3/5)(x - 1/6x) + 0.8(x - 1/6x) + 0.33x

Chin's marbles = (3/5)(5x/6) + 0.8(5x/6) + 0.33x

Chin's marbles = (3/6)x + (4/6)x + 0.33x

Chin's marbles = (7/6)x + 0.33x

We are given that Chin gained 105 marbles, so we can equate the equation above to 105 and solve for x:

(7/6)x + 0.33x = 105

(7x + 2x) / 6 = 105

9x / 6 = 105

9x = 105 * 6

x = (105 * 6) / 9

x = 70

Substituting the value of x back into the equation for Chin's marbles:

Chin's marbles = (7/6)(70) + 0.33(70)

Chin's marbles = 10(7) + 0.33(70)

Chin's marbles = 70 + 23.1

Chin's marbles ≈ 93.1

Therefore, Chin had approximately 93.1 marbles after the game.

(b) After the game, the 3 children each bought another 40 marbles. To find the total number of marbles the 3 children have altogether, we need to sum up their marbles after the game and the additional 40 marbles for each.

Total marbles = Afiq's marbles + Bala's marbles + Chin's marbles + Additional marbles

Total marbles = 0.33x + 0.8(x - 1/6x) + (7/6)x + 40 + 40 + 40

Total marbles = 0.33(70) + 0.8(70 - 1/6(70)) + (7/6)(70) + 120

Total marbles = 23.1 + 0.8(70 - 11.7) + 81.7 + 120

Total marbles = 23.1 + 0.8 × 58.3 + 201.7

Total marbles = 23.1 + 46.64 + 201.7

Total marbles = 271.44

The three children had a total of 271.44 marbles altogether.

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Question

Afiq. Bala and Chin played a game of marbles. Before the game, Bala had 1/ 6 fewer marbles than Afig and Chinhad 3/5 as many marbles as Bala.

After the game, Balahad lost 20% of his marbles to Chinwhile Afig had lost

2/3 of his marbles to Chin. Chingained 105 marbles at the end of the

game.

(a)How many marbles didChinhave after the game?

(b)After the game, the 3 children each bought another 40 marbles. How manymarbles did the 3 children have altogether?

hope anyone help me please​

hope anyone help me please

Answers

Answer:  

<  

<  

>

<  

>

Step-by-step explanation:

-12<-4

-15<-2

-7>-29

0<20

-101>-159

Answer:

(a) (-8)+(-4) < (-8)-(-4)

(b) (-3)+7-(19) < 15-8+(-9)

(c) 23-41+Il > 23-41-11

(d) 39+(-24)-(15) < 36+(-52)-(-36)

(e)-231+79+51 >-399+159+81

note:

-1 is greater than-20

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Help please, I dont know what to do.. ASAP! Emma invested $750 in an account paying an interest rate of 1. 9% compoundedquarterly. Assuming no deposits or withdrawals are made, how long would it take, tothe nearest tenth of a year, for the value of the account to reach $910? In the united states, equal opportunity laws guarantee equal pay for men and women, whites and minorities. True or false what would it be on edmentum? How do you say 12:00am/pm in Spanish please help, almost finished with math from the top of the tower the angle of depression of a bottom of a pillar on the same surface of height is 20 metre is 60 degree. if the angle of depression from the top of the pillar to the bottom of a tower is 22 degree. find the height of the tower. Important facts about Artemis god early anatomical injury patterns predict epilepsy in head cooled neonates with hypoxic-ischemic encephalopathy If trade causes some workers to be laid off, most economists conclude that: we should expect wages to fall. all other workers will be better off because their wages will rise. most of the workers laid off will be reemployed. we should not allow imports to take U.S. jobs. In the same way that doing things like eating well, getting enough sleep, and staying physically active can all help your body, many behaviors can _____________ your mental health. verb do it very properly 2. How do cell phone users stay connected to the network as users move between cells? Please Help me 7th grade math Chef rita is cooking for a sunday brunch. She knows that 22 pancakes can feed 8 people. she is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes. How many people can Rita feed with 55 pancakes? The diagram shows squares arranged around the edge of a right triangle. What is the area of square B Will mark brainliest I promise. I'll need to know how tho T^TScene:This scene will be a two-character, one-location, one-page scene. Each character has a want, an obstacle to that want, and they apply tactics to get what they want.Monologue:A half-page monologue for one of the characters. This is separate (ie: not included) from the scene. Character Profiles:Complete a character profile for each character (2) in the same format as the character profile in Session 5. Assessment:Completion of the required elements.Following the previously established criteria for writing a monologue or scene. Applying character details to the characters in the monologue and scene.Following proper play formatting. Class Activity 1B: Problems About Triangular Num-bersThe number of dots in a triangular array is called a triangular number.1st = 12nd = 33rd = 64th = 10The first triangular number is 1, the second is 3, the third is 6, the fourthis 10, and so on. In general, the Nth triangular number is the number ofdots in a triangular array of dots that has N dots on each side.1. What is the 25th triangular number? What is the 1000th triangu-lar number? How can we show respect in Multicultural Society? Explain your answer Chapter 3 Written Assignment A population of frogs has 1,200 members when an initial observation is made. The population is believed to be growing at a rate of 5.2% annually. a. Write a formula for the number of frogs, F, as function of years since the initial observation t. Form: F = a(b)(4 points) b. Find the number of frogs in the population after 8 years. Round to the nearest frog. (3 points) c. Use logarithms to determine the number of years for the population to reach 2000 frogs. (Round to the nearest year) (4 points)