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stepan [7]
3 years ago
6

What is the constant of proportionality?

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:  B) 18

=========================================================

Explanation:

x = number of packs of yogurt (column 1)

y = number of ounces of yogurt (column 2)

To get the constant of proportionality k, we divide y over x

k = y/x

k = 36/2 = 18 .... from row 1

k = 54/3 = 18 ... from row 2

k = 90/5 = 18 .... from row 3

This k = 18 value means that each time x goes up by 1, the value of y goes up by 18. This is the slope of the line y = 18x, so it represents the rate of change.

Put another way: 1 pack of yogurt is 18 ounces

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What is the least common multiple of 8 and 32
Viefleur [7K]
The least common multiple is 32
6 0
3 years ago
The school marching band has a budget of up to $750 to cover 15 new uniforms and
PolarNik [594]

a. The inequality 15x+300≤750 represents the situation.

b. It means that the band can spend at most $30 on each uniform without exceeding the budget.

Step-by-step explanation:

Given,

Budget = $750

Competition fee = $300

Uniforms to make = 15

Let,

x be the amount for each uniform.

a.  Write an inequality to represent this situation.

Uniforms to make * Cost per uniform + Competition ≤ Budget

15x+300 ≤ 750

The inequality 15x+300≤750 represents the situation.

b.  Solve the inequality and describe what it means in the situation.

15x+300\leq 750\\15x+300-300\leq 750-300\\15x\leq 450

Dividing both sides by 15

\frac{15x}{15}\leq \frac{450}{15}\\x\leq 30

It means that the band can spend at most $30 on each uniform without exceeding the budget.

Keywords: inequality, division

Learn more about inequality at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

3 0
3 years ago
A fruit stand has 28 apples, 20 oranges, and 12 pears. What is the ratio of apples to the total pieces of fruit?
ruslelena [56]
Data:
Apples = 28
Oranges = 20
Pears = 12

<span>What is the ratio of apples to the total pieces of fruit?
Solving:
</span>\frac{apples}{apples+oranges+pears} =  \frac{28}{28+20+12} =  \frac{28}{60} \frac{\div4}{\div4} \to\:\boxed{\boxed{ratio = \frac{7}{15}}}\end{array}}\qquad\quad\checkmark<span>
</span>
5 0
3 years ago
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea
kari74 [83]

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

8 0
3 years ago
If the area of a trapezoid is 234 square units what is the value of x
olganol [36]
h=9
A=((a+b)/2)h
234=((32+20)/2)h
234=(52/2)h
234=26h
9=h

6 0
3 years ago
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