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tino4ka555 [31]
3 years ago
14

In the figure, x = , y = , and z = .

Mathematics
1 answer:
algol133 years ago
8 0
There’s no image attached, ask the question again
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There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.
solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0
2 years ago
It’s really easy but I don’t know the steps can someone help?
tigry1 [53]

Answer:

x=0

Step-by-step explanation:

1/2(40+2x)=20

20+x=20

x=0

(I believe that s is the bisector, please correct me if I am wrong)

3 0
2 years ago
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)
LUCKY_DIMON [66]

Answer:

y + 6 = -2 (x-4)

Step-by-step explanation:

Point-slope formula is represented by the equation y-y_1 = m (x-x_1). When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the m, x_1, and y_1 for real values.

The m represents the slope of the line. Since we know the slope is -2, substitute -2 for m. The x_1 and y_1 represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for x_1 and -6 for y_1. This gives the following answer and equation:

y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)

6 0
2 years ago
Read 2 more answers
A. x= 2 0
Elanso [62]

Answer:

Step-by-step explanation:

3 0
3 years ago
The Smith Family is designing new plans for an in ground pool. Mr. Smith draws a rectangular shape with a length that is 5 feet
kumpel [21]

To solve this problem you must apply the proccedure shown below:

1- The formula for calculate the area of this rectangle is:

A=LH

Where L is the length and H is the heigth.

2. Let's call identify the heigth with the variable x.

3. If the length is 5ft longer than the heigth, you have:

L=x+5

4. Therefore, you can write the following polynomial expression:

A(x)=x(x+5)\\ A(x)=x^{2} +5x

5. If you know the value of the heigth, you can susbstitute it into the polynomial expression shown above and you will obtain the area.

Therefore, the answer is: A(x)=x^{2} +5x

5 0
3 years ago
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