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3 years ago

Evaluate the following expression, 5x [7+ (10-2) + 4)

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer: 95x

Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)

Add 7 and 10.

5x(17-2+4)

Add 15 and 4.

5x multiped by 19

Multiply 19 by 5

95x

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3 years ago

Read 2 more answers

A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90

andre [41]

Answer:

$5 \frac{5}{8}$ cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 $\frac{1}{4}$ cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 $\frac{1}{4}$ to improper fraction.

$2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}$

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u> <u>Number of cookies</u>

$\frac{9}{4}$ 36

x 90

Now form a proportion.

$\frac{\frac{9}{4}}{x} = \frac{36}{90}$

Now let's cross multiply, we get

$\frac{9}{4} *90 = 36x\\\$

$\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}$

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = $5 \frac{5}{8}$ cups

So the baker needs $5 \frac{5}{8}$ cups to make 90 cookies.

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3 years ago

Apply the distributive to a factor out the greatest common factor 75+20

LenaWriter [7]

Hi!

First, find the GCF of the numbers.

1, 3, 5, 15, 25, 75

1, 2, 4, 5, 10, 20

The greatest common factor that they have is 5.

Now apply the distributive property.

5(15 + 4)

^the answer

Hope this helps! :)

-Peredhel

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3 years ago