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Allisa [31]
2 years ago
10

The diagram below shows 5 identical bowls stacked one inside the other. The height of 1 bowl is 2 inches. The height of 5 bowls

is 5 inches.
Part A: Write an equation using x and y to find the height of a stack of bowls based on any number of bowls.


Part B: Describe what the x and y variable represent.


Part C: Use the equation from Part A to find the number of bowls if the height of the stacked bowls is 12.5 inches.
Mathematics
1 answer:
padilas [110]2 years ago
7 0

(Bowls, Height) (1, 2)  (5,5)

Slope is (5-2)/(5-1) = 3/4 inch
y = (3/4)x + b
(2) = (3/4)(1) + b
(2)-(3/4) = b

B=1.25.  Y= 0.75*x + 1.25. 

Part B
X is the number of bowls in the stack and Y is the corresponding height of the stack.

 

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Solve 2x + 8 + 5x - 2 = 90
Cerrena [4.2K]

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+8+5x−2=90

Step 1: Simplify both sides of the equation.

2x+8+5x−2=90

2x+8+5x+−2=90

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7x+6=90

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5. Paul is x years old.
AlexFokin [52]

Answer:  A) The equation will be     x + 4x + x + 10 = 82   B) Paul's age is 12, Rebecca's age is 48  and Gemma's age is 22.

Step-by-step explanation:

We will represent Paul's age by    the equation  p= x  where p is Paul

We will represent Rebecca's age by the equation  r = 4x  Where r is Rebecca

We will represent Gemma's age by the equation g = x + 10  where g is also Gemma's age.

We given that the sum of their ages is 82 years so meaning that  x + 4x + x + 10  has to equal 82.

A) The equation will be     x + 4x + x + 10 = 82  

Solve for the x equation to find Paul age because his age is x.

B)  (x) + (4x) + (x+10) = 82   combine like terms on the left side

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           -10    -10

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r= 4(12)

r = 48

Rebecca's age is 48.

g= 12 +10

g= 22

Gemma's age is 22.  

5 0
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