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ankoles [38]
3 years ago
13

What is the value of n in the equation 0.2(n - 6) = 2.8? (1) 8 (3) 20 (2) 2 (4) 44

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0
So,

0.2(n - 6) = 2.8

Distribute.
0.2n - 1.2 = 2.8

Add 1.2 to both sides.
0.2n = 4

Divide both sides by .2.
n = 20

Check.
0.2(20 - 6) = 2.8

Simplify inside parentheses.
0.2(14) = 2.8

Multiply.
2.8 = 2.8 This checks.

S = {2.8}
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An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is
astra-53 [7]

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

3 0
3 years ago
A corner store is selling a 30 pack of water bottles for $7. What is the unit price of a water bottle?
Serggg [28]

Answer:

It should be 4.29 if I’m not mistaken.

Step-by-step explanation:

You can find the unit price by dividing 30 by 7.

8 0
3 years ago
A coyote had 10 pups in her third litter. It was twice as many as in her second litter, her second litter, and her second litter
Yuki888 [10]
A coyote had 10 pups in her third litter. (10)
It was twice as many as in her second litter,( 2( second litter) = third litter

her second litter had 3 more pups than her first.( first litter +3)=2nd litter

Find the number of pups in her litter

6 0
3 years ago
Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.
Mashutka [201]

Answer:

Part 1) 10\ months

Part 2) \$25,000

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

The slope is equal to m=\$1,000\ per\ month

The y-intercept is b=\$15,000

substitute

y=1,000x+15,000 ----> equation A

<em>Jackie</em>

The slope is equal to m=\$1,300\ per\ month

The y-intercept is b=\$12,000

substitute

y=1,300x+12,000 ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

1,300x+12,000=1,000x+15,000

solve for x

1,300x-1,000x=15,000-12,000

300x=3,000

x=10\ months

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

y=1,000(10)+15,000=\$25,000

equation B

y=1,300(10)+12,000=\$25,000

7 0
3 years ago
What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.
posledela

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

5 0
3 years ago
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