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3 years ago

How to do 3/2b+1/5b=17 ?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

7 0

Answer:

b = 10

Explanation:

Lets start by combining like terms (b):

3/2b + 1/5b

to combine these fractions you must get them to both have the same denominator:

3/2 · 5/5 = 15/10 multiply top and bottom by other fractions denominator

1/5 · 2/2 = 2/10 multiply top and bottom by other fractions denominator

15/10 + 2/10 = 17/10

17/10b = 17

Now we want to get the b to be by itself, so lets first multiply both sides by 10:

17b = 170

Now lets divide both sides by 17:

b = 10

Hope this helped!

zalisa [80]3 years ago

3 0

3/2b + 1/5b = 17

Multiply both sides by the LCD. The LCD is 2 * 5 = 10.

10 * 3/2b + 10 * 1/5b = 10 * 17

15b + 2b = 170

17b = 170

b = 10

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Marina CMI [18]

Answer:

Step-by-step explanation:

$2250 \div 25 = 90$

$90 \div 45 = 2$

7 0

3 years ago

joe weighs 20lbs.less yhantwice jeffs weight.if jeff would gain 10lbs.,then together they wouldweigh 250lbs. how much does each

masya89 [10]

So,

Let x represent Joe's weight and y represent Jeff's weight.

"Joe weighs 20 lbs. less than twice Jeff's weight."
x = 2y - 20

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
(y + 10) + x = 250

We now have our two open sentences.
x = 2y - 20
(y + 10) + x = 250

Get rid of parentheses.
x = 2y - 20
x + y + 10 = 250

We will use Elimination by Substitution.
2y - 20 + y + 10 = 250

Collect Like Terms.
3y - 10 = 250

Add 10 to both sides.
3y = 260

Divide both sides by 3.
$Jeff's\ weight = 86 \frac{2}{3} \ lbs.$

Substitute again.
$x = 2(86 \frac{2}{3} )-20$

Multiply.
$x = 173 \frac{1}{3} -20$

Subtract.
$Joe's\ weight = 153 \frac{1}{3}\ lbs.$

Check.

"Joe weighs 20 lbs. less than twice Jeff's weight."
Jeff's weight times two is 173 and one-third.
20 lbs. less than that is 153 and one-third lbs. Check.

"If Jeff would gain 10 lbs., then together they would weigh 250 lbs."
86 and two-thirds + 10 = 96 and two-thirds.
96 and two-thirds + 153 and one-third equals 250 lbs. Check.

$Joe's\ weight\ is\ 153 \frac{1}{3} \ lbs.$
$Jeff's\ weight\ is\ 86 \frac{2}{3} \ lbs.$

3 0

3 years ago

Find the <br>-5/8 -- 3/10

maw [93]

I’m not for sure of the answer but i do know that the two subtractions in the middle would turn into a + and i think you add the -5/8 + 3/10

6 0

3 years ago

5/8y-12= -7<br> im stuck 9th grade math

Galina-37 [17]

Answer:

Step-by-step explanation:

$\frac{5}{8}y-12=-7 \\ \\ \frac{5}{8}y=5 \\ \\ y=8$

3 0

1 year ago

What are the solutions to x2 + 8x + 7 = 0? A. x = –8 and x = –7 B. x = –7 and x = –1 C. x = 1 and x = 7 D. x = 7 and x = 8

NikAS [45]

Answer:

x= -7 x = -1

Step-by-step explanation:

x^2 + 8x + 7 = 0

Factor

What 2 numbers multiply to 7 and add to 8

7*1 = 7

7+1 = 8

(x+7)(x+1) =0

Using the zero product property

x+7 =0 x+1 = 0

x= -7 x = -1

8 0

3 years ago

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