MATHEMATICS MIDDLE SCHOOL

The number of campers who sign up for archery each week is listed in the table. If the relationship is proportional, how many campers will sign up for archery in Week 3?Archery Sign Up Total Campers
Week 1 36 120
Week 2 45 150
Week 3 ? 130

A. 54
B. 40
C. 41
D. 39

Answers

Answer 1
Answer:

Answer:

\boxed{39}

Step-by-step explanation:

\begin{array}{rcc}& \textbf{Archery Sign Up} & \textbf{Total Campers}\n\textbf{Week 1} & 36 & 120\n\textbf{Week 2} & 45 & 150\n\textbf{Week 3} & ? & 130\n\end{array}

Let x = Total campers

and y = Archery sign up

In a direct proportionality,

y = kx

1. Calculate the value of k

Substitute a pair of values for x and y

150 = k × 45

Divide each side by 45

k = 150/45 = 10/3

2. Calculate the value of x in Week 3

\begin{array}{rcl}130& = & (10)/(3)x\n\n390 & = & 10x\nx & = & \mathbf{39}\n\end{array}

\boxed{\textbf{39 campers}} \text{ will sign up for archery in Week 3}

The diagram is a graph of your proportionality. It shows that y = 130 when x = 39.
Answer 2
Answer: A. 54 is your answer

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Kiyo bought a pizza for 12.75 and four medium drinks at Paulis pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if 1 drink is $3

Answers

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Proportional relationships!
Need help on!

Answers

Direct variation has this equation:

y = kx

where k is the constant of variation

y = -5 ; x = -15

y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k

Choice D. y = 1/3 x 

What is 12 12/8 rounded to the nearest thousands

Answers

Answer:

13.5

you do that by dividing 12 and 8 to get 1.5, then add that extra 12
13.5
You divide 12/8 and then add 12

Tims age in 7 years. will be 3 times what it was 19 years ago

Answers

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Are the following figures similar?No; the corresponding angles are not congruent
No; the corresponding sides are not proportional
Yes; the corresponding angles are congruent
Yes; the corresponding sides are proportional

Answers

Answer:

No; the corresponding angles are not congruent

Step-by-step explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

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What strategies have you learned for solving proportions

Answers

You can use a table, find equivalent fractions, or use conversion...
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