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mezya [45]
3 years ago
10

If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.

Mathematics
1 answer:
N76 [4]3 years ago
6 0
This is a problem using proportions.

a/b = c/d where: ad = bc

1/4 : 5 = x : 8

a = 1/4 ; b = 5 ; c = x ; d = 8

get the cross products: ad = bc

1/4 * 8 = 5 * x
8/4 = 5x
2 = 5x
2/5 = x

2/5 of a pizza can be purchased for 8 dollars.

to check:

1/4 : 5 = 2/5 : 8

1/4 * 8 = 5 * 2/5
8/4      = 10/5
  2       = 2
  
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tatuchka [14]

Answer: b & c

Step-by-step explanation:

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6 0
3 years ago
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Solve the simultaneous equations<br> 3<br> 2x - y = 7<br> xy = 15
ehidna [41]

Answer:

(5, 3 ) and (- \frac{3}{2}, - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \frac{3}{2} : y = 2(- \frac{3}{2} ) - 7 = - 3 - 7 = - 10 ⇒ (- \frac{3}{2}, - 10 )

8 0
3 years ago
Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her
Drupady [299]

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

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