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Mrac [35]
3 years ago
6

The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

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3 0
3 years ago
the area of rectangular park is 3/5 square mile, the length of the park is 7/8 mile,what is the width of the park
Luba_88 [7]
Area=LengthxWidth so 3/5=7/8xWidth. To get width by itself you must divide both sides by 7/8. When dividing fractions you can flip the fraction and multiply so multiply (3/5)(8/7). To do this just multiply the numerators and denominators to get 24/35 so width = 24/35
8 0
3 years ago
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Mnenie [13.5K]

The height of the tree and the building are 7.6 m and 28.6 m respectively.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Two triangles are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Triangle BGD, CHD and AFD are similar triangles.

CH = 1.6, DH = 8, GH = 30,  GF = 105

FH = GF + GH = 105 + 30 = 135

FD = FH + DH = 135 + 8 = 143; GD = 30 + 8 = 38

Hence, using similar triangles:

BG/CH = GD / DH

BG / 1.6 = 38/8

BG = 7.6 m

Also:

building/CH = DF / DH

building / 1.6 = 143/8

building = 28.6 m

The height of the tree and the building are 7.6 m and 28.6 m respectively.

Find out more on equation at: brainly.com/question/2972832

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5 0
2 years ago
Please show me step by step on how to solve this.
Readme [11.4K]
Well, you have to be given an interval. That is not an interval.

You should be given something like 1 \leq x \leq 2

If you add those fractions up you'll just get a point on the number line.

Find the LCD for all of them which is 9/6 - 4/6 + 3/6 = 8/6 = 2/3

You'll end up with a point on 2/3 
7 0
3 years ago
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