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ValentinkaMS [17]
2 years ago
5

The total cost of 7 shirts and 5 pairs of pants is $517. The total cost of a shirt and a pair of pants is $89. How much does a p

air of pants cost?​
Mathematics
1 answer:
pickupchik [31]2 years ago
7 0

Answer:

pair of pants = $53

Step-by-step explanation:

s = shirts

p = pair of pants

eq = equation

eq 1:          7s + 5p = 517

eq 2:           s + p = 89

multiply the equation 2 by 7

eq 3:        7s + 7p = 623

negate equation 1 and add it to the eq 3

      7s + 7p = 623

+    -7s - 5p = -517

             2p = 106

               p = 53

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This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t
lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

\frac{entertainment}{total} \frac{150}{3650}=\frac{x}{100}

When you cross multiply and divide x≈4.1

8 0
3 years ago
Read 2 more answers
Plz help
Yuliya22 [10]

Answer:

Solution: x = 2, y = -1 or (2, -1)

Step-by-step explanation:

Equation 1:  2x + y = 3

Equation 2: 5x - 2y = 12

Using the substitution method:

Transform the Equation 1 into its slope-intercept form:

2x + y = 3

2x - 2x + y = -2x + 3

y = 2x + 3

Substitute the value of y = -2x + 3 into Equation 2:

5x - 2y = 12

5x - 2(-2x + 3) = 12

5x + 4x - 6 = 12

9x - 6 = 12

9x - 6 + 6 = 12 + 6

9x = 18

9x/9 = 18/9

x = 2

Substitute the value of x = 2 into Equation 2 to solve for y:

5x - 2y = 12

5(2) - 2y = 12

10 - 2y = 12

10 - 10 - 2y = 12 - 10

-2y = 2

-2y/-2 = 2/-2

y = -1

Double-check whether the values for x and y will provide a true statement for both equations:

Equation 1:  2x + y = 3

2(2) + (-1) = 3

4 - 1 = 3

3 = 3 (True statement)

Equation 2: 5x - 2y = 12

5(2) - 2(-1) = 12

10 + 2 = 12

12 = 12 (True statement)

Therefore, the correct answers are: x = 2; y = -1 or (2, -1).

4 0
3 years ago
What is the second step to solving this equation?<br> 9x - 23 = 49
Anna11 [10]

Answer:

Divide 9 from both sides.

Step-by-step explanation:

The first step to solving this equation is to add 23 to both sides.

9x - 23 (+23) = 49 (+23)

9x = 49 + 23

9x = 72

The second step is to isolate the x and divide 9 from both sides:

(9x)/9 = (72)/9

x = 72/9

x = 8

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6 0
3 years ago
Write the measurements of Sides AB, BC, and CD of the correct net.
scZoUnD [109]
AB- 3in.
BC- 5in.
CD- 7.2in.

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8 0
3 years ago
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The circumference of ruby's old swimming pool is 47.1 feet. Her new swimming pool has a diameter of 21 feet. How much larger is
Alla [95]

The new pool is 18.84 feet larger in circumference than the old one.

<u>Explanation:</u>

Given:

Circumference of the pool = 47.1 feet

Diameter of the new pool, d = 21 feet

radius, r = 21/2 feet

Circumference of the new pool = ?

We know:

Circumference = 2πr

where,

r is the radius

On substituting the value:

C = 2 X 3.14 X \frac{21}{2}

C = 65.94 feet

The difference in circumference of the two pools = 65.94 - 47.1 feet

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Therefore, the new pool is 18.84 feet larger in circumference than the old one.

6 0
3 years ago
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