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vovikov84 [41]
2 years ago
14

Use the distributive property to simplify the expression 1/5(2a-15b+5/6c)+7b.​

Mathematics
1 answer:
myrzilka [38]2 years ago
6 0

Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

  1. Distribute 1/5 throughout the parentheses (multiply it by each term enclosed in the parentheses) --> this gives you 2/5a -3b + 1/6c + 7b
  2. Then you just combine like terms to get your answer. In this case, the only like terms you need to combine are -3b and 7b to get -3b
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A circle with circumference 130 has an arc with a 72°<br> angle. What is the length of the arc?
deff fn [24]

Answer:

arc = 26 units

Step-by-step explanation:

130 = 360°

(72° arc/360°)(72) = 26

4 0
2 years ago
Coffee café mix 90 pounds of coffee that cost six dollars per pound the types of coffee used to make this makes you cost seven d
Troyanec [42]

Answer:

y =  60

Step-by-step explanation:

From the  information we get:

x  quantity of 4 dollars  coffee used in the mix

y  quantity of 7 dollars  coffee used in the mix

For the quantity of coffee to be sold a 7 $/pound  ( 90 pounds)

Then  6*90  =  540  $

Therefore

x  +  y  =  90     and

4*x  +  7*y  =  540

A two equations system we solve for x and y

y =  90  -  x

4*x  +  7* ( 90  -  x ) = 540

4*x  +  630 - 7*x  =  540

- 3*x  =  - 90

x = 30 pounds   and

y  =  90  -  30

y  =  60

We should use  60 pounds of the seven $ coffee

4 0
2 years ago
A summer camp had
trapecia [35]

The equation that relates the number of campers this year to the number of campers last year is c = 440 / 1.10

The number of campers last year is 400.

<h3>What are percentages?</h3>

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentages are used to measure frequency.

<h3>How many campers attended last year?</h3>

The number of campers last year = number of campers this year / (1 + percentage increase)

440 / 1.1 = 400

To learn more about percentages, please check: brainly.com/question/25764815

3 0
2 years ago
Mary Beth and her family ate a meal in a restaurant the cost of the meal was $34.50 the sales tax was 8% of the cost of the meal
nikdorinn [45]
The total cost would be the tax plus the cost of the meal. In order to find the tax you can set up a proportion: 8/100=x/34.5. Then you can cross multiply: (100•x)=(8•34.5). Then we have 100x=276. Divide both sides by 100 and we have x=2.76. This added to the 34.50 is equal to 37.26. Hope this helps!
4 0
3 years ago
Kathy slices through a circular cake. The cake has a diameter of 14 inches. The slice that Kathy made is straight and has a leng
Tanzania [10]

Answer: chord

Step-by-step explanation:

A chord is a straight line that's typically drawn from one particular edge of a circle to another.

In this case, the diameter is 14cm while the length of the line drawn is 11cm, therefore the diameter isn't a chord. It's not a radius as well as the diameter divided by 2 gives the radius which should be 7cm.

Therefore, it's a chord.

7 0
2 years ago
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