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3 years ago

11

17/21- (3/7 + 2/7) please answer quick

1 answer:

adoni [48]3 years ago

8 0

Answer:

2/21

Step-by-step explanation:

17/21 -(3/7 + 2/7)

First you add

=17/21 - (5/7)

Then you want to subtract

=2/21

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Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

scoundrel [369]

Answer:

The numbers are : -20,-18,-16,-14

Step-by-step explanation:

Let 1st even integer be $=x$

So, next consecutive even integer would be $=x+2$

3rd consecutive even integer would be $=x+4$

4th consecutive even integer would be $=x+6$

Sum of first three integers would be $=x+x+2+x+4=3x+6$

It says sum of the first three is 2 more than twice the fourth,

So we have

$3x+6=2+4(x+6)$

using distribution to simplify.

$3x+6=2+(4\times x)+(4\times6)$

$3x+6=2+4x+24$

$3x+6=4x+26$

Subtracting $4x$ from both sides

$3x+6-4x=4x+26-4x$

$-x+6=26$

Subtracting 6 from both sides

$-x+6-6=26-6$

$-x=20$

∴ $x=-20$

So first integer =-20

2nd integer $=-20+2=-18$

3rd integer $=-18+2=-16$

4th integer $=-16+2=-14$

So, the numbers are : -20,-18,-16,-14

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3 years ago

A gas station is 44 kilometers away. How far is the gas station in miles? Use the following conversion: 1 mile is 1.6 kilometers

antoniya [11.8K]

the answer to this question is 27.34 miles

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3 years ago

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Mrs. baker paid $2.50 for 5 pounds of bananas. Write an equation relating the cost of c to the number of pounds for p of bananas

serg [7]

2.50=5

$2.5 \div 5 = .5$

4.0=8

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3 years ago

2 of the children at a party like chocolate ice cream, 2 3 like vanilla ice cream, and 1 3 like chocolate and vanilla. What frac

g100num [7]

Answer:

13/38

Step-by-step explanation:

The bottom number is called the denominator. the bigger number always goes on top. I got that by adding up all the # of kids at the party. 13 was the # who liked both chocolate and vanilla :)

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3 years ago

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If the two prisms have equal heights and volumes, what is the length of the x in Prism II?

m_a_m_a [10]

The volume of a prism is given by

$V = A_b\cdot h$

Where $A_b$ is the base are and $h$ is the height.

So, if two prisms have the same height and the same volume, they must have the same base area.

The first base is an equilateral triangle, which means that the height is given by

$h = \dfrac{l\sqrt{3}}{2}$

So, the area is

$A = 8\cdot\dfrac{8\sqrt{3}}{2} = 32\sqrt{3}$

The area of the second base is simply the product of the dimensions, so it is $6.9x$

Since the two areas must be the same, we have

$32\sqrt{3}=6.9x \iff x = \dfrac{32\sqrt{3}}{6.9} \approx 8.03270$

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3 years ago