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Neko [114]
3 years ago
10

A company mixes pecans, cashews, peanuts, and walnuts to make a batch of mixed nuts. About 15.4% of the mixed nuts in a batch ar

e pecans. If a batch contains 77 pounds of pecans, how many pounds of mixed nuts are in a batch altogether? Enter your answer in the box.
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

500 lb

Step-by-step explanation:

You have to make a proportion:

\frac{part}{whole} = \frac{percent}{100}

77 lb is part of the whole weight ( which we don't know) so 77 will go on top

The problem tells us that 15.4% of the total weight is pecans so 15.4 will go over 100 (since % are out of 100)

\frac{77}{x} = \frac{15.4}{100}

Then you cross multiply giving you: 7700 = 15.4x

then you divide 15.4 to both sides to isolate x which will give you 500

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Answer:

4.94

Step-by-step explanation:

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kiara spent 60 on a ticket to see drake then she spent 10 in a soda and one half of what was left on a t-shirt.she has 20 left.h
Y_Kistochka [10]
$120

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5 0
3 years ago
Is it possible for the function f(x) - 5 x 2^x to have an output of 200?
Advocard [28]

Answer:

The solution is possible

Step-by-step explanation:

Given

f(x) = 5 * 2^x

Required

Is an output of 200, possible?

To know if it is possible or not, we start by substituting 200 for f(x)

200 = 5 * 2^x

Divide both sides by 5

\frac{200}{5} = \frac{5}{5} * 2^x

\frac{200}{5} =  2^x

40 =  2^x

2^x =40

Take logarithm of both sides

log2^x =log40

Apply law of logarithm

xlog2 =log40

Divide both sides by log2

x = \frac{log40}{log2}

x = \frac{1.6021}{0.3010}

x = 5.32

for f(x) = 200, x is approximately 5.32

Hence, the solution is possible

8 0
3 years ago
Solve this system by Linear Combination (Elimination)
Aleksandr [31]

They result in the same equation

rewrite it:

2y = 4x +18

3y = 6x + 27

divide so that you have only y

y = 2x + 9

y = 2x + 9

8 0
2 years ago
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sdas [7]

Answer:

h = 5t

Step-by-step explanation:

So basically, its a slope problem again. You are trying to find the equation that equals hits. So you can cross off t = 5h and t = h + 5. So now, you need to find the most reasonable answer by calculating the slope.

If you try h = t + 5,

Put in 3 - you get 8

Put in 7 - you get 12

But on the table you get 15, 36 respectively.

If you try h = 5t,

Put in 3 - you get 15

Put in 7 - you get 35

Which is much closer to the numbers in the table, therefore it is the answer.

8 0
1 year ago
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