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Goryan [66]
2 years ago
4

Interpreting the Solution of a System of Equations The volleyball team at West View High School is comparing T-shirt companies w

here they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts. y = 10.5x y = 7.5x + 30 How many T-shirts would the volleyball team need to purchase from each company for the total cost to be equal? For the total cost to be the same for both companies, the volleyball team would need to purchase T-shirts from each company for a total of $ for each company.
Mathematics
2 answers:
a_sh-v [17]2 years ago
7 0
For the cost to be the same for both options, y=y, so we can say:

10.5x=7.5x+30 subtract 7.5x from both sides

3x=30  divide both sides by 3

x=10

So they would have to purchase ten t-shirts from each company for the cost to be the same.  And that cost is either equation using 10 for the x value

y=10.5(10)=$105.00
UkoKoshka [18]2 years ago
4 0

Answer:

THE ANSWER IS 10 THEN 105.

Step-by-step explanation:


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omeli [17]

Answer:

$2000

Step-by-step explanation:

Given data

We are given that the price of the super PC is $2000

Since they are buying only one of the super PC they will have to pay

$2000

Hence option C is the correct answer

5 0
2 years ago
Shawn is buying his first home. At closing he brought a check for $7570. The
Sedaia [141]

Answer:

$154,750 ~ APEX

Step-by-step explanation:

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2 years ago
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The gas mileage for a certain vehicle can be approximated by m=−0.05x2+3.5x−49, where x is the speed of the vehicle in mph. Dete
Whitepunk [10]

Answer:

<h2>14mph</h2>

Step-by-step explanation:

Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;

m = −0.05x²+3.5x−49

when m= 9

9 = −0.05x²+3.5x−49

−0.05x²+3.5x−49 = 9

0.05x²-3.5x+49 = -9

Multiplying through by 100

5x²+350x−4900 = 900

Dividing through by 5;

x²+70x−980 = 180

x²+70x−980 - 180 = 0

x²+70x−1160 = 0

Using the general formula to get x;

a = 1, b = 70, c = -1160

x = -70±√70²-4(1)(-1160)/2

x = -70±√4900+4640)/2

x = -70±(√4900+4640)/2

x = -70±√9540/2

x =  -70±97.7/2

x = -70+97.7/2

x = 27.7/2

x = 13.85mph

x ≈ 14 mph

Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph

4 0
2 years ago
Given the following prices, explain why Brand B is the better buy. (Hint: 16 ounces = 1 pound and 1 pound = 453.59 grams)
almond37 [142]
Convert all to lb and find cost per 1lb

A.
54oz, convert to lb
54/16=3.375lb
find per lb
4.89/3.375=$1.4488888 per lb

B.
2 and 3/4=2.75, 3.91/2.75=$1.42181 per lb

C. 910/453.59=2.00621lb
3.10/2.00621=$1.545 per lb



compare
A: $1.4488888 per lb

B: $1.42181 per lb

C: $1.545 per lb


B is cheapest, followed by A then C


B is best buy
4 0
2 years ago
Read 2 more answers
How many pairs of whole numbers have a sum of 99?
vivado [14]
Its will be 50 pairs
starting with 0+99=99 1+98=99
2+97=99 and so on
5 0
2 years ago
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