Question

Can someone please help me!? I have the file for the question right under.

Answer 1

The diagram which represents Mason's ratio of made throws and missed throws in the story is option A.

• The total number of free throws attempted by Mason If Mason made 20 free throws is 28 free throws

• The diagram which represents Jennifer's ratio of bracelet made with neon and bracelet made with pastel in the story is option B

• The number of bracelet Jennifer made with pastel if she made 16 bracelet with neon is 12.

The following are answers to like terms collected respectively

• 9d
• 17r + 3
• 5r + 4

The following expressions are equivalent

• 3 + 4 = 2 + 5
• 4(2 + x) = 8 + 4x

How to use tape diagram to represent ratio?

• Throws Mason made = 5
• Throws Mason missed = 2

If Mason made 20 free throws

• Number of throws Mason missed = x

Equate missed throws ratio made throws

2 : 5 = x : 20

2/5 = x/20

cross product

2 × 20 = 5 × x

40 = 5x

divide both sides by 5

x = 40/5

x = 8

Total free throws Mason attempted = Number of throws Mason missed + Number of throws Mason made

= 8 + 20

= 28 free throws

• Number of friendship bracelet made with neon = 4
• Number of friendship bracelet made with pastel = 3

If Jennifer made 16 bracelet with neon

• Number of bracelet made with pastel = x

Equate neon made bracelet ratio pastel made bracelet

4 : 3 = 16 : x

4/3 = 16/x

cross product

4 × x = 3 × 16

4x = 48

divide both sides by 4

x = 48/4

x = 12

Combine the like terms

4d + 5d

= 9d

8r + 6 + 9r - 3

= 8r + 9r + 6 - 3

= 17r + 3

6r - r + 4

= 5r + 4

Determine if the following expressions are equivalent

3 + 4 = 2 + 5

7 = 7

4(2 + x) = 8 + 4x

8 + 4x = 8 + 4x

Read more on tape diagram for ratio:

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