Write the equation of a line that is parallel to y=−7 and that passes through the point (7,5)

Using a system of equations, the rental cost for a movie and a video game is as follows:

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations is also described as simultaneous equations.

                                  Movies   Video     Total

                                                Games    Cost

First month rental           3          5          $32

Second month rental    12          2          $29

Let the rental cost per movie = x

Let the rental cost per video game = y

3x + 5y = 32 ... Equation 1

12x + 2y = 29 ... Equation 2

Multiply Equation 1 by 4:

12x + 20y = 128 ... Equation 3

Subtract Equation 2 from Equation 3:

12x + 20y = 128

-

12x + 2y = 29

18y = 99

y = 5.5

Substitute y = 5.5 in Equation 1 or 2:

12x + 2y = 29

12x + 2(5.5) = 29

12x + 11 = 29

12x = 18

x = 1.5

Thus, based on simultaneous equations, the rental cost for a movie is $1.50 while a video game's is $5.50.

Learn more about simultaneous equations at https://brainly.com/question/16863577.

#SPJ1

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

Learn more about the gross pay at https://brainly.com/question/4356180.

#SPJ1

Answer:

71

Step-by-step explanation:

The square represents 90 degrees.

A triangle’s three angles ALWAYS adds up 180.

To find the missing angle:

180 - 90 = 90

90 - 19 = 71.

Therefore, the answer is 71

Answer:

System: A system of two equations that can be written in the form of y = mx + b where m is the slope and b is the y-intercept.

Graph: The graph of these two equations would be two straight lines in a coordinate plane.

Solution: The solution of the system would be the point where the two lines intersect on the coordinate plane, which represents the values of x and y that satisfy both equations.

Slope and y-intercept of 4x = y - 6:

Slope: 4 (m)

y-intercept: -6 (b)

Slope and y-intercept of 4y = 3x -5:

Slope: 3/4 (m)

y-intercept: -5/4 (b)

Note that the slope is the coefficient of x in the equation, and the y-intercept is the constant term in the equation. The solution can be found by equating the two equations and solving for x and y.

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

To learn more on vectors: https://brainly.com/question/31900604

#SPJ1

Answer:

288 due to tuka I am trying this app is good or mot

Answer:

1/4 , decimal is 0.25

Answer:

23.9425 (Round if needed)

Step-by-step explanation:

This is 2 half circles so you can find the area of a circle and divide it by 2.

First circle has a diameter of 6 cm

6/2=3 cm

So, circle has radius of 3.

Area of circle= 3.14(pi) radius^2

3.14 x 3^2= 28.26

28.26/2=14.13 cm

Area of first half circle= 14.13

Repeat that process for the second circle.

3.14 x 2.5^2=19.625

19.625/2=9.8125

14.13+9.8215=23.9425

Area=23.9425

Answer:

2

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

The two numbers whose product is 55 and the difference between the two numbers is 6 are 11 and 5.

The product of numbers is the number obtained after multiplying two or more numbers together.

The product is simply the result of a multiplication operation.

Product of two numbers = 55

Difference between the two numbers = 6

The two numbers must be = 11 and 5

Because:

The product of 11 and 5 is 55.

The difference between 11 and 5 is 6.

Thus, the two numbers whose product is 55 and the difference between the two numbers is 6 are 11 and 5.

Learn more about products of numbers at https://brainly.com/question/25301924

#SPJ1

Answer:

L = 13  m     W = 11   m

Step-by-step explanation:

L = W + 2  

area =  L   x   W

143   = (W+2)   *  W

143 =  W^2 + 2w

W^2 + 2W - 143 = 0  

Use Quadratic Formula    (a = 1   b = 2   c = - 143)

   to find   W = 11 m      then   L = 13

Answer:

a. The company will be expected to replace 13.35% of its batteries.

b. The company should guarantee the batteries for 35 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 45.0 months and a standard deviation of 8.1 months.

This means that \(\mu = 45, \sigma = 8.1\)

a. If Quick start guarantees a full refund on any battery that fails within the 36 month period after purchase, what percentage of its batteries will the company expect to replace?

The proportion is the p-value of Z when X = 36. So

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

\(Z = \frac{36 - 45}{8.1}\)

\(Z = -1.11\)

\(Z = -1.11\) has a p-value of 0.1335

0.1335*100% = 13.35%

The company will be expected to replace 13.35% of its batteries.

b. If quick Start does not want to make refunds for more than 10% of its batteries under the full refund guarantee policy, for how long should the company guarantee the batteries (to the nearest month)?

The guarantee should be the 10th percentile, that is, X when Z has a p-value of 0.1, so X when Z = -1.28.

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

\(-1.28 = \frac{X - 45}{8.1}\)

\(X - 45 = -1.28*8.1\)

\(X = 34.6\)

Rounding to the nearest month:

The company should guarantee the batteries for 35 months.

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

learn more on set here: https://brainly.com/question/29484130

#SPJ1

Answer:

14.4

Step-by-step explanation:

=24 * 60/100
=14.4

Answer:

14.4

Step-by-step explanation:

\(\frac{24}{10} = 10\)% of 24

6\(\frac{24}{10} = 60\)% of 24

Answer:

\(x\approx10.6\)

Step-by-step explanation:

Recall that \(sin\theta=\frac{opposite}{hypotenuse}\):

\(sin62^\circ=\frac{x}{12}\)

\(12sin62^\circ=x\)

\(10.59537111=x\)

\(x\approx10.6\)

╮(. ❛ ᴗ ❛.)╭╮(. ❛ ᴗ ❛.)╭╮(. ❛ ᴗ ❛.)╭

Answer:

9 times older.

Step-by-step explanation: Mark brainliest if this helps.

Answer:

9

Step-by-step explanation:

because 54/6=9  

Answer:

it would be around 3 i think

Step-by-step explanation:

You can occasionally start by isolating and replacing a variable that is squared in both equations if you're required to solve a system of equations without a starting linear equation.

If there isn't a linear equation to begin with, you can pick out and use a squared variable in both equations.

Start by dividing both sides of the supplied nonlinear equation by the variable's coefficient, for instance.

After you've done that and isolated a variable, carry on with the problem-solving by adding that variable to the other equation.

Learn more about equation here

https://brainly.com/question/29538993

#SPJ4

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

9/24 or 37.5%

hope this helps :)

Hi,  

first thing you must do with a  probability problem is to count how many thing you have in your universe.

Here we are dealing with sweets. So let's count  :  5 +4+8+4+3 = 24  

and there is  5 yellow  so probability to pick up a yellow is  5/24

and there is 4 orange  so probabilitu to pick up a orange is  4/24

To say  :   Ola will pick orange or  yellow  mean  if she pick either one of the two sort is good.  So you add the proba of each :   5/24 +4/24 = 9/24

and then you must reduce if you can :   9/24 = 3*3 /8*3 =  3/8

So the probability that Ola pick a  yellow or orange sweet is  3/8 = 0.375

Answer:

162 red marbles, 78 black marbles

Step-by-step explanation:

The ratio of red marbles to black marbles is 27 to 13. We have:

\(27r + 13r = 240\)

\(40r = 240\)

\(r = 6\)

So we have 27(6) = 162 red marbles and 13(6) = 78 black marbles.

Answer:

$70

Step-by-step explanation:

If the account start with $95, and you deposited $15:

95+15 = $110

After that, you took 65:

110 -65 = $45

After you deposited $40:

45 + 40 = $85

And for last you took more 15:

85 -15 = $70

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

I also don't know just search on up 289183773829

The exponential regression equation is y = 11.37 * 3.87ˣ

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

(-4,0.05), (-3, 0.20), (-2, 0.75)

To calculate the exponential regression equation that best fits the data shown, we use a graphing tool

An exponential function is represented as

y = abˣ

From the graphing tool, we have

a = 11.37

b = 3.87

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

y = 11.37 * 3.87ˣ

Hence, the exponential regression equation is y = 11.37 * 3.87ˣ

Read more about regression at

https://brainly.com/question/26755306

#SPJ1

Answer:

B two congruent pieces

Step-by-step explanation:

Perpendicular means at a 90 degree angle

bisector means it divides in it half, into two equal pieces