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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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The cost c, to produce b baseball bats per day is modeled by the function c(b)=0.06b^2 - 7.2b + 390. What number of bats should
Finger [1]
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.

One possibility: 
                   Produce no bats at all per day.  Zero.  Nada.  None.
                   Cost = 0.06(0)²  -  7.2(0)  +  390  =  $390 per day.

The other choice:
                   Produce  120 bats per day.
                   Cost = 0.06(120²)  -  7.2(120)  +  390
                          = 0.06(14,400)  -  7.2(120)  +  390
                          =      864          -      864      +  390
                          =      $390  per day.

If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
8 0
3 years ago
Need Help Badly<br>What is the solution
Kamila [148]
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8

The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.

After doing this, we realize that only -1 works, so the answer is x=-1

Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)

Best wishes:)


5 0
3 years ago
2. A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row b
svetlana [45]
Y=23-(3)x should be the formula
7 0
3 years ago
21²/0.219 to 2 significant figures​
Oksanka [162]
21^2/0.219 = 2013.69863
2 significant figures are the 20, so the answer is 2000
3 0
2 years ago
Read 2 more answers
Please help, I'll give brainliest!! Tysm
zmey [24]

Answer:

C.

Step-by-step explanation:

Negative exponents on the top is equivalent to them being positive in the bottom.

7 0
3 years ago
Read 2 more answers
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