All categories

3 years ago

Answer the following equation: 1/2(x + 20) = 17/4x + 4 (6 - x)

1 answer:

8 0

So use distributive property
which is
a(b+c)=ab+ac so
1/2(x+20)=1/2x+10

and the other
4(6-x)=24-4x

so now we have
1/2x+10=17/4x+24-4x
convert -4x to -16/4x and add to the 17/4x
1/2x+10=1/4x+24
subtract 24 from boths ides
1/2x-14=1/4x
multily both sides by 4
2x-56=x
subtract x from both sides
x-56=0
add 56 to both sides
x=56

You might be interested in

Jamarius just filled up his SUV for $58.56. If he put 24 gallons of gas in the tank, what was the cost per gallon?

Kazeer [188]

Answer:

$2.44/gal

Explanation:

$58.56/24gallon/

6 0

2 years ago

What is the first step in solving 2x=y X+y=30

Vanyuwa [196]

Answer: x = 10 y=20

Step-by-step explanation:

You can answer this question by plugging in each equation:

2x=y, x+y=30. Let us plug y as 2x in the second equation x+y=30

x+2x= 30

3x= 30

x=10

After we found x we can then find y by plugging the 10 for x.

2(10) = y

y =20

or you could plug in the other equation

10+y=30

subtract 10 from 30 and we get 20

to double check we can plug in both numbers

2(10) = 20 which is correct

and 10 + 20 = 30 which is correct

8 0

3 years ago

A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4. You want to c

Nikolay [14]

Answer:

21, 144, 12

Step-by-step explanation:

Given that a sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard deviation of 4.

Let X be the distance in yard.

i.e. each entry of x is multiplied by 3.

New mean variance std devition would be

E(3x) = $3E(x) = 21$

Var (3x) = $3^2 Var(x) = 9(16) =144$

Std dev (3x) = $\sqrt{144 } =12$

Thus we find mean and std devition get multiplied by 3, variance is multiplied by 9

4 0

3 years ago

find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP

galben [10]

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

(3/4 )x + 3 $\frac{1}{2}$ = (2/3)x - 6 $\frac{1}{2}$
(3/4)x + (7/2) = (2/3)x - (13/2)
(3/4)x - (2/3)x = - (13 /2) - (7/2)
(1/12)x = -10
x = -10 / (1/12) = -120

5 0

3 years ago

EXPLAIN FOR BRAINLIEST<br> 45 POINTS

raketka [301]

The answer is 8km.

1:100,000 = 1.6 miles = 1 kilometer x 8 = 8 km

4 0

3 years ago