The rectangle below is enlarged using a scale factor of 1.5. What will be the new length and width of the rectangle?

Answer:

2268

Step-by-step explanation:

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer: 153.86 cm²

Ok done. Thank to me :>

Answer:

Step-by-step explanation:

You have the following function:

\(f(x)=-3x+7\)

The y-intercept of the function is given by the independent coefficient, which is 7.

y-intercept = 7

To obtain the x-intercept you equal the function to zero and solve for x, as follow:

\(0=-3x+7\\\\3x=7\\\\x=\frac{7}{3}\approx2.33\)

x-intercept = 2.33

Due to the coefficient of x is negative, the slope of the function is negative.

The function is a straight line, then, its domain all all real numbers and its range are all real numbers.

The graph of the function is attached in the image below.

Answer:

C.

Step-by-step explanation:

32+8=40

8(4+1)

4+1=5

8*5=40

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Marina's debt to income ratio is given as follows:

27.75%.

The debt to income ratio is obtained as the sum of all debts divided by the sum of all incomes.

The sum of all debts is given as follows:

1400 + 350 + 140 + 130 + 600 = 2620.

The sum of all incomes is given as follows:

8900 + 350 + 190 = 9440.

Hence the ratio is given as follows:

2620/9440 = 0.2775.

As a percent, the ratio is given as follows:

0.2775 x 100% = 27.75%.

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The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

125x37=4625

A  value of 24 is 2.5 standard deviations away from the mean

The given parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

Let the number of standard deviations away from the mean be x.

The value of x is calculated using

Mean + Standard deviation * x = Value

Substitute the known values in the above equation

18 + 4 * x = 24

Subtract 18 from both sides of the equation

4 * x = 6

Divide both sides of the equation by 4

x = 1.5

Hence, a value of 24 is 2.5 standard deviations away from the mean

So, the complete parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

24 is 2.5 standard deviations away from the mean

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Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Answer:

V = 40 cm3

Step-by-step explanation:

I found this answer by multiplying 5 x 4 x 2 to get the answer as 40.

5 x 4 = 20

20 x 2 = 40 cm3.

-SOPHIA

Answer:

y = 18  and  x = -2

Step-by-step explanation:

y = x^2+bx+c   To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0).  Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically     Plugging in  (2,0) :

y=x2+bx+c  

0=(2)^2+b(2)+c  

y=4+2b+c  

-2b=4+c  

b=-2+2c  

Plugging in  (0,−14) :

y=x2+bx+c  

−14=(0)2+b(0)+c  

−16=0+b+c  

b=16−c  

Now that we have two equations isolated for  b , we can simply use substitution and solve for  c .   y=x2+bx+c  16 + 2 = y   y = 18  and  x = -2

Answer:

5

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

Answer:

It's dez

Step-by-step explanation:

Ask me what's dez

Complete question is;

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes

Answer:

x = √(12² + 16²)

Step-by-step explanation:

We are told that;

She bikes from health club to South = 16 miles

From South to West = 12 miles

Her trainer bikes from the health club to meet her at the end which is west.

I have attached a diagram showing this movement in form of a triangle.

From the diagram I attached, I have depicted the distance the trainer bikes as x.

Using pythagoras theorem;

x² = 12² + 16²

x = √(12² + 16²)

Using the Probability Scale, we find that Letter D shows event is impossible, Letter C show likely event, Probability that the selected bead is red or purple is 3/4.

Probability Scale is Impossible events have a probability of 0 and specific events have a probability of 1. This means that the probability cannot exceed 1. This can be expressed on a probability scale.

The event that is impossible is event D since it has a probability of 0.

The event that is likely is event  since it has the highest probability of 1/2.

The probability of selecting a purple bead is P(p)= 3/12 or 1/4,

and the probability of selecting a red bead is P(r) = 6/12 or 1/2, since there are 6 red beads in the bag.

Therefore, the probability of selecting a purple or red bead is:

P(purple or red) = P(p) + P(r) = 1/4 + 1/2 = 3/4

Hence, the probability that the bead selected by Julia is purple or red is 3/4.

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___The given question is incomplete, the complete question is given below:

Here is a probability scale It shows the probability of each of the events A, B, C and D.

a) Write down the letter of the event that is impossib/e.

b) Write down the letter of the event that is like/y.

A bag contains 12 beads

2 of the beads are blue

1 of the beads is green.

3of the beads are purple.

The rest of the beads are red Julia takes a bead from the bag at random

c) Show that the probability that this bead is purple or red is 3/4.

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

The y-coordinate of P is approximately 24.68. Round this answer to 2 decimal places, we have 24.68.

Step-by-step explanation:

Let's call the coordinates of point P (x,y).

According to the ratio, we can write the following equation:

(AP)/(PB) = 3/4, where AP is the distance from A to P and PB is the distance from P to B.

We can use the distance formula to find the coordinates of P:

AP = sqrt((x-5)^2 + (y+10)^2)

PB = sqrt((x-1)^2 + (y-8)^2)

We substitute these into the equation above:

(sqrt((x-5)^2 + (y+10)^2))/(sqrt((x-1)^2 + (y-8)^2)) = 3/4

Squaring both sides:

((x-5)^2 + (y+10)^2)/((x-1)^2 + (y-8)^2) = (3/4)^2

Expanding and simplifying:

3x^2 - 26x + 104 = 0

We can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac))/2a, where a = 3, b = -26, and c = 104

x = (26 ± sqrt(26^2 - 43104))/2*3

x = (26 ± sqrt(676))/6

x = (26 ± 26)/6

x = 26/6 or 0

Since x cannot be 0, we choose x = 26/6 = 4.33

Substituting x back into one of the original equations:

y = sqrt(3(4.33-5)^2 + (4.33+10)^2)

y = sqrt(3(4.33-5)^2 + 24.66^2)

y = sqrt(3(-0.67)^2 + 24.66^2)

y = sqrt(3*0.4489 + 606.1296)

y = sqrt(1.3467 + 606.1296)

y = sqrt(607.4763)

y = 24.68

So the y-coordinate of P is approximately 24.68. Round this answer to 2 decimal places, we have 24.68.

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Answer:

-2

6 = -2 -(-8) because -2 + 8 = 6.

Any time you see -(- you add.

Answer:

56.4

Step-by-step explanation:

99/100×57=56.43

=56.4

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

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The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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The calculated value of the rate of the graph is 0.8

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

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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Answer:

Step-by-step explanation:

A ) Let p be the probability of getting affected . Probability of not getting affected be q

p = .3 , q = .7

If n be the member of family , probability that x children will be affected will be given by the expression

p(x) = ⁿCₓ pˣqⁿ⁻ˣ

n = 2 , x=2

p(2) = ²C₂ .3².7²⁻²

= 1 x .09 x 1 = .09

B )

p(1) = ²C₁ .3¹.7²⁻¹

=  2 x .3 x .7

= .42

C ) x = 0

p (0) = ²C₀ .3⁰.7²⁻⁰

=  1 x 1 x .49

= .49

D ) Let A be the probability that older child is affected and B be the probability that younger child is affected

P( A /B ) = P(A∩B) / P(B )

= .09 / .42

= .214

Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).