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Naily [24]
2 years ago
9

What is the constant of proportionality?

Mathematics
1 answer:
inessss [21]2 years ago
5 0

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:

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The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
3 years ago
Can you help with #13 and #14<br><br> sorry about the last one :/
Dima020 [189]
Number 13 is 40 in
number 14 is 2.5
8 0
2 years ago
Read 2 more answers
What is the approximate area of a regular pentagon with a side length of 6 feet and a distance from the center to a vertex of 6
Sergio [31]
The answer is 7,776.
6 0
3 years ago
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I NEED HELP ON #10!!!!!!!!!! please
postnew [5]

Answer:

the distance is 8

Step-by-step explanation:

8 0
2 years ago
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Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar
matrenka [14]

Answer:

The height of the tree is  

18.67

feet

Step-by-step explanation:

Explanation:

The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.

You can write this as a direct proportion. (height : shadow)

2 is to 1.5 as what is to 14?

2

1.5

=

x

14

     

←

cross multiply

x

=

2

×

14

1.5

x

=

18.67

feet

7 0
2 years ago
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