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3 years ago

How many math books and English books did Nicole purchase?

Mathematics

1 answer:

Ksju [112]3 years ago

6 0

Create a system if equations to solve this.

First equation:
25m + 24e = 220

Second equation:
m + e = 9

Then you must solve the second equation for a variable.

Change m + e = 9 to e = 9 - m.

Then substitute (9 - m) for e in the first equation.

So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.

Now you can solve the first equation because the only variable in it is m.

25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)

Now plug in 4 for m in the second equation.

m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)

m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.

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Divide (2x^2+x-45) by (x+5)

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Answer

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Step-by-step explanation:

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Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. $\frac{102.50}{140}$

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

Sneakers cost $60 and you bought them at 2/3=0.6666....

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A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

$\frac{102.50}{140}$

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First one to answer receives 100 points and brainiest!

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Answer and Step-by-step explanation:

116 b.

$2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24$

1280 × 24 = 30720

30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.

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$16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72$

3584 × 72 = 258048

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116 d.

$125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24$

16250 × 24 = 390000

390,000 ÷ 39 = 10,000. 10,000 is the solution; the expression is divisible by 39.

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