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german
3 years ago
15

A recipe says it takes 2&1/2 cups of flour to make a batch of cookies. How many cups of flour are needed to make 3&3/4 b

atches of cookies?
I got 9&3/8, is that correct?
Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Step-by-step explanation:

Write a proportion:

2½ cups / 1 batch = x cups / 3¾ batches

Cross multiply:

x × 1 = 2½ × 3¾

To multiply the fractions, first write them in improper form:

x = (5/2) × (15/4)

x = 75/8

Now write in proper form:

x = 9⅜

Your answer is correct!  Well done!

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If f(x) = x + 2 and g(x) = 3x +4, then (g °f)(x) = ?
Anastaziya [24]

The correct answer is a. 3x + 6

In order to find a compound function, you must use the first letter in the function (in this case f) and plug the second letter (g) in where you see x's.

f(x) = x + 2

f(g(x)) = (g(x)) + 2

f(g(x)) = (3x + 4) + 2

f(g(x)) = 3x + 6

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4 years ago
Find the 7th term of a geometric sequence with t1=5 and r=-2
Dmitry [639]
Hello,

t_{1}=5
t_{2}=5*(-2)
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8 0
3 years ago
If you roll two fair dice(one black die and one white die) in how many ways can you obtain a sum of at least 3
jasenka [17]
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3 years ago
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What is the rate of change (8,13), (-13,-15)
3241004551 [841]

Answer:

28/21

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Hope this helps!

5 0
3 years ago
What is the solution to the equation 1/3 (9x-6)2x=3
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\frac{1}{3} (9x-6)2x=3 \\ \\ \frac{(9x-6) \times 2x}{3} = 3 \\ \\ \frac{3(3x - 2) \times 2x}{3} = 3 \\ \\ \frac{6x (3x-2)}{3} = 3 \\ \\ 2x(3x-2) = 3 \\ \\ 6x^2 - 4x = 3 \\ \\ 6x^2 - 4x - 3 = 0 \\ \\ x = \frac{4+2 \sqrt{22} }{12} , \frac{2- \sqrt{22} }{12} \\ \\ x = \frac{2+ \sqrt{22} }{6} , \frac{2- \sqrt{22} }{6}
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