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AlladinOne [14]
3 years ago
5

will has $1.67 in pennies and quarters. His number of pennies is five more than twice the number of quarters. How many pennies d

oes he have?
Mathematics
1 answer:
Lena [83]3 years ago
4 0

p = pennies


q= quarters


p = 2q+5   (1)


.25q+.01p=1.67   (2)


substitute  the equation for pennies (1) into the 2nd equation


.25q+.01(2q+5)=1.67


distribute


.25q +.02q +.05 = 1.67


combine like terms


.27q +.05 =1.67


subtract .05 from each side


.27q = 1.62


divide by .27


q=6


p=2q+5


p=2(6)+5


p=12+5


p=17


There are 6 quarters and 17 pennies





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8

Step-by-step explanation:

We know that in 5 days they have travelled 2045 miles. This means that their per day average for travel is 2045/5=409 miles per day.

Now the distance left is 3272-2045=1227 miles.

And if we divide the average miles with the miles left, it gives us= 1227/409

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QUESTIONS
Arlecino [84]

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

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3 years ago
Find the complete factored form of the polynomial -24a6b4-40a3
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For this case we have the following polynomial:

-24a ^ 6b ^ 4-40a ^ 3

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

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Then we look for the GFC of the variables:

We have then:

a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3

Finally rewriting we have: -24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)

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the complete factored form of the polynomial is:

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3 years ago
Cubed root x cubed root x2​
Yuki888 [10]

Answer:

Final answer is \sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x.

Step-by-step explanation:

Given problem is \sqrt[3]{x}\cdot\sqrt[3]{x^2}.

Now we need to simplify this problem.

\sqrt[3]{x}\cdot\sqrt[3]{x^2}

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Apply formula

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so we get:

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{1+2}}

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{3}}

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x

Hence final answer is \sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x.

7 0
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