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2 years ago

For each formula,rearrange so a is by itself:

Mathematics

1 answer:

vichka [17]2 years ago

6 0

Step-by-step explanation:

a) 6-9b=3a

First:Subtract

3b=3a

Second: Devide

3b/3a

=(3÷3)(b÷a)

=1b/a

= b/a

B) 6b+2a=3a

First:Transpose (Group the like terms. signs will change.)

-3a+2a=-6b

=-1a=-6b

Second:Divide

=-1a/-6b:(-1÷-6)(a÷b)

=1a/6b

=a/6b

C)a/3=b+2

First: Transpose

a=3+2+b

=a/6+b

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Step-by-step explanation:

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2 years ago

Yuan has 5 quarts of broth. He uses 1/2 of the broth to make soup. Then, he uses 1/4 of the broth he has left to make gravy.

vovangra [49]

Answer:

1 7/8 quarts

Step-by-step explanation:

The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.

After using 1/2 of the broth for soup, the fraction remaining is ...

1 -1/2 = 1/2

The amount Yuan used for gravy is 1/4 of this, or ...

(1/4)(1/2) = 1/8 . . . of the original amount of broth

The total fraction Yuan used was ...

fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8

<h3>remaining</h3>

Then the fraction remaining is ...

fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.

The amount remaining is this fraction of the original amount:

(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining

7 0

2 years ago

Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amoun

nikdorinn [45]

Answer:

x+0.05x=3.15 which has one solution

Step-by-step explanation:

Complete question below:

Joshua sells a pack of pens for 3.15 which is 5 percent more than he pays for them. which equation will help find x, the amount he pays for a pack of pens? how many solutions will this equation have? x+0.05x=3.15, which has infinitely many solutions x+0.5x=3.15, which has one solution x+0.05×=3.15 which has one solution 0.05×=3.15, which has no solution

Let

x= the amount Joshua pays for a pack of pen

5% of x more than he paid for them

=0.05x more

Buying price=0.05x + x

Selling price=3.15

Equate buying and selling price

0.05x + x = 3.15

1.05x=3.15

Divide both sides by 1.05

1.05x / 1.05 = 3.15/1.05

x=3

The equation is 0.05x+x=3.15

The answer is:

x+0.05x=3.15 which has one solution

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3 years ago

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Answer:

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3 years ago