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brilliants [131]
3 years ago
14

Simplify 3/4 - 1/6 v + 7/15 v - 1/2

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

Simplified form of 3/4 - 1/6 v + 7/15 v - 1/2 is (1/4) - (-3/10 v)

Step-by-step explanation:

To simplify: 3/4 - 1/6 v + 7/15 v - 1/2

We can simplify this as:

3/4 - 1/2 - 1/6 v + 7/15 v

or (3/4 - 1/2) - (1/6 v - 7/15 v)

or (1/4) - (-3/10 v)

or (1/4) + (3/10 v)  , This is the simplified answer.

So we got, 3/4 - 1/6 v + 7/15 v - 1/2 = (1/4) - (-3/10 v)

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4 years ago
A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 poun
mash [69]

Answer:

5 days

Step-by-step explanation:

Set up linear equation; food= 240-12(day) f=240-12d

f(1)=240-12(1)=240-12=228

f(2)=240-12(2)=240-24=216

Now set food to equal 180, solve for days:

180=240-12d

-240  -240

-60=-12d

/-12  /-12

5=d

To check: f(5)=240-12(5)=240-60=180

3 0
3 years ago
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Paco needs at least 3/8 yard of twine to build a model ship. how much twine could he buy.
kolezko [41]

Answer:

Option: c is correct.

Step-by-step explanation:

We are given that paco needs at least 3/8 yard of twine to build a model ship.

that is we require twine of amount greater than 3/8 yards.

<em>now we need to check among the given options which quantity is greater than 3/8 yards.</em>

a)

3/10 yard.

As we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/10 < 3/8

Hence option a is incorrect.

b)

1/4 yard

As to compare to rational numbers we have to either make the numerator equal or their denominator equal. Hence here we multiply and divide 1/4 by 2 to get 8 in the denominator.

\dfrac{1}{4}\times\dfrac{2}{2}=\dfrac{2}{8}

as 2/8 < 3/8

since the denominator is same and the number with the same denominator but with different numerator are compared as whose numerator is greater is a greater quantity.

Hence option b is incorrect.

c)

3/4 yard

Clearly both the numbers have the same numerator but different denominator and we know that for two rational numbers with the same numerator but with different denominator the number whose denominator is smaller is a greater quantity.

Hence 3/8 < 3/4

Hence, option c is correct.

d)

1/8 yard

clearly both the numbers have the same denominator and we know that for two rational numbers withe same denominator but with different numerator the number whose numerator is smaller is a smaller quantity.

Hence, 1/8 < 3/8

Hence, option d is incorrect.



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