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zavuch27 [327]
3 years ago
12

1/5k + 15 factor out the coefficient!

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0
1/5k+ 15
= 1/5k+ 15* (5/5) (because 5/5= 1)
= 1/5k+ (15*5)/ 5
= 1/5k+ 75/5
= 1/5k+ 75* (1/5)
= 1/5(k+ 75) (distributive property)

The final answer is 1/5(k+ 75).
You might be interested in
Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.
geniusboy [140]

Answer:

  • one orange costs $0.35  and  one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o  = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

                                               → g = ($1.95 - 3(0.35))/2

                                               → g = 0.45

Therefore one grapefruit costs $0.45

4 0
2 years ago
Write and solve an equation to answer the question. after earning interest, the balance of a checking account is $560. the new b
nikitadnepr [17]
2.33 is the aprox number we start off with. if we got to find the original, we divide 560 by (7/3).
after we estimate the divisior we get 240. 560 - 240 gives us 320.
the answer could be 320.
7 0
3 years ago
A vase in the shape of a cube measures 8 inches on each side. The vase is half full of water. How many cubic inches of water are
Ne4ueva [31]

Answer:

256

Step-by-step explanation:

First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.

7 0
3 years ago
Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for
stepan [7]

<u><em>Answer:</em></u>

<u>The required system of equations is:</u>

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

<u><em>Explanation:</em></u>

<u>1- Defining the variables:</u>

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

<u>2- Setting the system of equations:</u>

<u>We are given that:</u>

i. Each pound of bananas sells for $2

  Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

   Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. <u>This means that:</u>

    2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. <u>This</u>

    <u>means that:</u>

    pounds of bananas = pounds of peaches + 3

    x = y + 3 ..................> equation II

<u>3- Solving the equations (if required):</u>

In equation II, we have: x = y + 3

<u>Substitute with equation II in equation I and solve for y as follows:</u>

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

<u>Substitute with y in equation II to get x:</u>

x = y + 3

x = 43 + 3 = 46

<u>Based on the above:</u>

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

4 0
3 years ago
In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures. How many minutes does it take to make one balloon s
Temka [501]

Answer:

a) How many minutes does it take to make one balloon sculpture?

= 4 minutes

b) How many balloons are used in one sculpture?

= 6 balloons

Step-by-step explanation:

In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures.

a) How many minutes does it take to make one balloon sculpture?

22 identical balloon sculptures = 88 minutes

1 balloon sculpture = x

x = 88 minutes/22

x = 4 minutes

b) How many balloons are used in one sculpture?

22 balloon sculptures = 132 balloons

1 balloon sculpture = x

Cross Multiply =

22x = 132 balloons

x = 132 balloons/22

x = 6 balloons

8 0
3 years ago
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