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Georgia [21]
3 years ago
14

Match the real-world problem to its constant of proportionality.

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

6.12

1.39

4.12

12

Step-by-step explanation:

If y ∝ x, then y = kx.

So, the constant of proportionality is given by k = \frac{y}{x}

Case 1:

$18.36 for 3 pizzas

Therefore, the constant of proportionality is \frac{18.36}{3} = 6.12

Case 2:

$4.17 for 3 pounds of bananas.

Hence, the constant of proportionality is \frac{4.17}{3} = 1.39

Case 3:

$16.48 for 4 pounds of potatoes.

Hence, the constant of proportionality is \frac{16.48}{4} = 4.12

Case 4:

2 cups of flour to make 24 cookies.

Hence, the constant of proportionality is \frac{24}{2} = 12 (Answer)

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A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

4 0
3 years ago
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,
tiny-mole [99]

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

5 0
3 years ago
Question 10 of 20
Alex17521 [72]

Answer:

Survey

Step-by-step explanation:

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3 years ago
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Write the set of points from −8 to −2 but excluding −3 and −2 as a union of intervals
Sauron [17]
If you're only dealing with integers, then the answer is:

[-8 , -3)

If you're dealing with real numbers, then the answer is:

[-8, -3)∪(-3, -2)
3 0
3 years ago
If you share 7 apples equally with 3 people then there are 2 1/3. Frost complete the sentence. Then , briefly explain what the w
8090 [49]

Answer:

The whole number 2 is the number of whole apples each person gets.  The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.

8 0
2 years ago
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