Dwayne wants to buy a jump rope that costs $4, a board game that costs $7, and a playground ball that costs $3. He has saved $9 from his allowance, and his uncle gave him $4. How much more money does Dwayne need to buy the jump rope, the game, and the ball?

Answer:

  $740

Step-by-step explanation:

You want to know the amount that is 37% of $2000.

The amount can be found by multiplying the fraction by the total:

  0.37 × $2000 = $740

During the first 3 months, $740 was raised.

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Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75  hr    ( 45 minutes )  

Answer:

[see below]

Step-by-step explanation:

\(3*2^t\)

When 't' is 1:

\(3*2^1\\\\3*2\\\\\boxed{6}\)

When 't' is 4:

\(3*2^4\\\\3*16\\\\\boxed{48}\)

Hope this helps.

Answer:

Step-by-step explanation:

3 time 2 with the power of t

You see the given values, 1 and 4?

All you need to do is replace those values with 1 and 4.

3 x 2 with the power of 1.

2 times the power of one is just 2 because you aren't multiplying it with another 2.

So, 3 times 2 is 6.

3 x 2 with the power of 4

2 x 2 x 2 x 2 = 16

It's not 2 times 4; it's 2 times the power of 4-- which means we multiply the number by itself depending on the given value we're given.

I hope this helps!

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

Therefore, the game ended at 1:19 PM

The value of the x in the mathematical function is a 3.

According to the statement

We have to find that the value of the function.

So, For this purpose, we know that the

A function is defined as a relation between a set of inputs having one output each.

From the given information:

f(x)=x^2+1

Then we have to find the value of the x with f(x)=10

Then

f(x)=x^2+1

Put f(x)=10

Then

f(x)=x^2+1

10 =x^2+1

10 -1 = x^2

9 = x^2

x^2 = 9

x = \(\sqrt{9}\)

x = 3.

So, The value of the x in the mathematical function is a 3.

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so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

Answer:

I voted JOE BIDEN if you didn't your racist that's all

Answer:

(-4) ^6

Step-by-step explanation:

(-4)*(-4)*(-4)*(-4)*(-4)*(-4)

There are six (-4)'s multiplied together

(-4) is the base and 6 is the exponent

(-4) ^6

Answer:

A.(-4)^6

Step-by-step explanation:

-4 is being multiplied by itself 6 times

So you would get rid of all but one negative for and add ^-6

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

the equation is base = height + 1

The expression of the given statement is 2y - 3  = -1

Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.

The expression of the given statement is 2y - 3  = 4.

Here, let the unknown number = y

Now, product of y and 2 =  2 times  y   =   2y

Also, three less than the product   =  Product - 3

So, three less than the product  of 3 and y =  2 y - 3

Now, this above expression is equivalent to -1.

⇒2 y - 3  = -1

Hence the expression of the given statement is 2y - 3  = -1

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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4

A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.

It has two sides that are divided by the equals sign (=).

Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.

Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.

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Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

The estimated area of the field enclosed by the fence is approximately 220.5 square meters.

A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.

We can employ the following strategy to determine how much of the field the fence is enclosing:

Include the lengths of the fence sections in a rough sketch of the field.

Make a straightforward polygon that resembles the field's shape using the fence sections.

To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula (\(A = 1/2 \times base \times height\)). We must identify the triangle's base and height in order to accomplish this.

The Pythagorean theorem can be used to calculate the triangle's height: \(a^2 + b^2 = c^2\)where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to

(a)

\(= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\\)

The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.

When we apply the triangle's area formula, we obtain:

A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.

The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.

If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.

By dividing the width by the length, we obtain:

180 square meters is the size of the remaining part (12 meters times 15 meters).

To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:

Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.

As a result, the field's approximate area inside the barrier is 220.5 square meters.

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Answer:

4/9

Step-by-step explanation:

Put it in a calculator and you get .4 but there's a lot of 4's. That's the repeating decimal.

Answer:4/9 and 4/7

Step-by-step explanation: Trust

Answer:

19782m

Step-by-step explanation:

1  revolution = circumference

circumference = π * diameter

π = 3.1416

Then

circumference = 3.1416 * 63

= 197.92m

1 revolution = 197.82m

100 revolutions = 100*197.82m

= 19782m

Answer:

19.8 km

Step-by-step explanation:

To find:-

Answer:-

We are here given that,

We can first find the circumference of the wheel using the formula,

\(:\implies \sf C = 2\pi r \\\)

Here radius will be 63/2 as radius is half of diameter. So on substituting the respective values, we have;

\(:\implies \sf C = 2\times \dfrac{22}{7}\times \dfrac{63}{2} \ m \\\)

\(:\implies \sf C = 198\ m \\\)

Now in one revolution , the cycle will cover a distance of 198m . So in 100 revolutions it will cover,

\(:\implies \sf Distance= 198(100)m\\\)

\(:\implies \sf Distance = 19800 m \\\)

\(:\implies \sf Distance = 19.8 \ km\\\)

Hence the bicycle would cover 19.8 km in 100 revolutions.

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

n=-22

Step-by-step explanation:

rewrite the equation as 5(n+4) = n-8

3

now distribute the 5 through the parentheses 5n+20 = n-8

3

multiply each side by 3 5n+20=3n - 24

subrtact 3n from both sides 5n+20=3n - 24

-3n -3n

2n+20=-24

then subtract 20 from each side 2n +20=-24

-20 -20

Giving you 2n=-44 then divide both sides by 2

2n=-44 Giving you n=-22

2 2

When -3 (row 1) is added to row 2, the result would be [ 1 - 4 | 8 ]

[ 0 10 | 10 ].

The first thing to do is to multiply each element in row 1 by - 3 :

- 3 x 1 = - 3

- 3 x - 4 = 12

- 3 x 8 = - 24

Then, we need to add the result to the elements in row 2:

3 + ( - 3 ) = 0

- 2 + 12 = 10

10 + ( - 24 ) = - 14

The resulting matrix would therefore be:

[ 1 - 4 | 8 ]

[ 0 10 | - 14 ]

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Answer:

52

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Answer:

y=a\((x-h)^{2}\)+h

Step-by-step explanation:

equation for vertex form of a parabola is,

y=a\((x-h)^{2}\)+h

Answer:

y=a+h

Step-by-step explanation:

Answer:

(9,4) and (12,5)

Step-by-step explanation:

x-3y=-3

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

\(6y-2y+8y\)

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

\(6y-2y+8y\) = 12y

Hence,

The correct answer is Option 3: 12y

The required 7,000 gallons of gasoline which are 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
To solve the problem, we can use the following formula:

(amount of ethanol in the final mixture) / (total amount of gasoline in the final mixture) = 7%

To find the amount of ethanol in the 2,000 gallons of gasoline with no ethanol:

ethanol in 2,000 gallons of gasoline with no ethanol = 0 × 2,000 = 0 gallons

Then, find the amount of ethanol in the final mixture:

ethanol in final mixture = (0.09x + 0 * 2,000) / (x + 2,000)

Notice that we use 0 gallons for the ethanol in the 2,000 gallons of gasoline with no ethanol, since it contains no ethanol.

Ethanol in the final mixture / total amount of gasoline in the final mixture = 7%

(0.09x + 0) / (x + 2,000) = 0.07

0.09x + 0 = 0.07(x + 2,000)

0.09x = 0.07x + 140

0.02x = 140

x = 7,000

Therefore, 7,000 gallons of gasoline which is 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

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Answer:

fist 1 is 80 second on is 80

The correct transformation that describes why rectangles ABCD and A′B′C′D′ are similar is Rectangle ABCD was dilated by a scale factor of 5 to form rectangle A′B′C′D′.

Dilation is a transformation that changes the size of an object while maintaining its shape. In this case, the coordinates of rectangle ABCD were multiplied by a scale factor of 5 to obtain the coordinates of rectangle A′B′C′D′.

This means that each side length of rectangle ABCD was multiplied by 5 to get the corresponding side length of rectangle A′B′C′D′.

The reflection across the y-axis and the rotation of 90° counterclockwise would result in different shapes and orientations, not maintaining the similarity between the two rectangles.

The dilation by a scale factor of 15 or 1/5 would also change the proportions and not result in a similar rectangle.

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

a y=0.47x+7.72

Step-by-step explanation:

took the test

Answer:

the collection center should be located at Collection Option (D).

Step-by-step explanation:

To determine the best location for the collection center, you can calculate the average coordinates of the four collection points and choose the location that is closest to this average.

To calculate the average coordinates, you can add the coordinates of each collection point and divide the result by the number of collection points. For example, to find the average X coordinate, you can add the X coordinates of all four collection points and divide by 4. Similarly, to find the average Y coordinate, you can add the Y coordinates of all four collection points and divide by 4.

Using this method, the average coordinates for the four collection points are (5.75,3.25). The collection point that is closest to these average coordinates is Collection Point D, which is located at (7,3). Therefore, the collection center should be located at Collection Point D.

I hope this helps to clarify the process for determining the best location for the collection center. Please let me know if you have any other questions.