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miv72 [106K]
2 years ago
12

it takes 2 1/2 cups of sugar to make 4 dozen sugar cookies. How much sugar is needed to make 120 sugar cookies

Mathematics
1 answer:
avanturin [10]2 years ago
8 0

Answer:

6.25 cups of sugar

Step-by-step explanation:

Let's make a proportion expression:

2.5/48 = x/120

Let x be the amount of sugar needed to make 120 sugar cookies.

Cross multiply:

120*2.5=48x

48x=300

x=6.25

So, you would need 6 1/4 cups or 6.25 cups of sugar to make 120 sugar cookies.

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Emily had some candy to give her five children.She first took two pieces for her self and then evenly divided the rest among her
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She started with 17 pieces of candy
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Theresa is planning on making a fleece blanket for her nephew. She learns that the fabric she wants to use is $7.99 per yard. Fi
Anastaziya [24]

Answer:

$31.96

Step-by-step explanation:

(7.99)×(4)= $31.96

7 0
3 years ago
Read 2 more answers
Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75,
Aneli [31]

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

m \to With water

n \to With Soda

So:

m + n =10 --- total

5m + 6.75n = 62.25 -- cost

Required

Find m and n

m + n =10

Make m the subject

m = 10 - n

Substitute m = 10 - n in 5m + 6.75n = 62.25

5(10-n) +6.75n = 62.25

50-5n +6.75n = 62.25

Collect like terms

-5n +6.75n = 62.25 - 50

-5n +6.75n = 12.25

1.75n = 12.25

Solve for n

n = 12.25/1.75

n = 7

m = 10 - n

m = 10 - 7

m =3

8 0
3 years ago
A travel website sells tickets to a city for two airlines. Among those buying tickets, 20% fly airline A, and 80% fly airline B.
Naddika [18.5K]

Answer:

The expected revenue of an airline ticket sold by this travel website is $408

Step-by-step explanation:

For the revenues per ticket we have;

airline A; 600

airline B; 360

For the probability of choosing the airlines we have;

airline A; 20% = 0.2

airline B; 80% = 0.8

Therefore, the expected revenue of an airline ticket sold by this travel website is;

600(0.2) + 360(0.8) = 408

Therefore, the expected revenue of an airline ticket sold by this travel website is $408

7 0
3 years ago
Help.........................<br><br>​
garri49 [273]
<h3>Answer: Choice A</h3>

x^2\left(\sqrt[4]{x^2}\right)

=====================================================

Explanation:

The fourth root of x is the same as x^(1/4)

I.e,

\sqrt[4]{x} = x^{1/4}

The same applies to x^10 as well

\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4}

Multiply the exponents 10 and 1/4 to get 10/4

\sqrt[4]{x^{10}} = \left(x^{10}\right)^{1/4} = x^{10*1/4} = x^{10/4}

\sqrt[4]{x^{10}} = x^{10/4}

-----------------------

If we have an expression in the form x^(m/n), with m > n, then we can simplify it into an equivalent form as shown below

x^{m/n} = x^a\sqrt[n]{x^b}

The 'a' and 'b' are found through dividing m/n

m/n = a remainder b

'a' is the quotient, b is the remainder

-----------------------

The general formula can easily be confusing, so let's replace m and n with the proper numbers. In this case, m = 10 and n = 4

m/n = 10/4 = 2 remainder 2

We have a = 2 and b = 2

So

x^{m/n} = x^a\sqrt[n]{x^b}

turns into

x^{10/4} = x^2\sqrt[4]{x^2}

which means

\sqrt[4]{x^{10}} = {x^2} \sqrt[4]{x^2}

7 0
3 years ago
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