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2 years ago

Write an equation that has of constant of proportionality of 15.

1 answer:

4 0

Hello there! The formula for constant of proportionality is k = y/x, which also is k = slope.

Equations with a constant of proportionality of 15 would be:

• k = 15/1

• k = 30/2

•k = 75/5

and so on. Anything that is a multiple of 15 and is placed as the numerator over the dividend used to receive a quotient of 15 would work. Hope this helps!

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A game starts by flipping a coin. If you get heads, then you get to roll a die and, if you roll a 4, you win the jackpot. If you

Mariana [72]

$\frac{5}{24}$

Step-by-step explanation:

There are two ways to win a jackpot.

Let $p_{1}$ be the probability for first method and $p_{2}$ be the probability for second method.

Probability to get a head= $p_{head}$ = $\frac{1}{2}$

Probability to get a $4$ in the die= $p_{4}$ $=\frac{1}{6}$

Probability to get a head and get a 4 in die=[ $p_{1}$ tex]p_{head}\times p_{4}[/tex]= $\frac{1}{2}\times \frac{1}{6} =\frac{1}{12}$

Probability to get a tail= $p_{tail}$ = $\frac{1}{2}$

Probability to get a heart= $p_{heart}$ = $\frac{13}{52} =\frac{1}{4}$

Probability to get a tail and get a heart in the deck= $p_{tail} \times p_{heart}$ = $\frac{1}{2}\times \frac{1}{4}=\frac{1}{8}$

Total probability to win a jackpot= $p_{1}+p_{2}=\frac{1}{12}+\frac{1}{8}=\frac{5}{24}$

So,probability to win a jackpot is $\frac{5}{24}$

3 0

4 years ago

The high school choirs participating in a fundraising sales contest. The choir will receive a bonus if they make 20 sales in the

Vinil7 [7]

Answer:

A total of 53 sales to qualify for bonus

Step-by-step explanation:

In the first week, they required a sale of 20 tickets to recieve a bonus.

In subsequent weeks, they require a sale of (n + 3)

Where n = number of sale the previous week

Week 2, they'll require n + 3 = (20 + 3) sales = 23 sales

Week 3 = 23 + 3 = 26 sales

Week 4 = 26 + 3 = 29 sales

Week 5 = 29 + 3 = 32 sales

Week 6 = 32 + 3 = 35 sales

Week 7 = 35 + 3 = 38 sales

Week 8 = 38 + 3 = 41 sales

Week 9 = 41 + 3 = 44 sales

Week 10 = 44 + 3 = 47 sales

Week 11 = 47 + 3 = 50 sales

Week 12 = 50 + 3 = 53 sales

At the end of week 12, they require a total of 53 sale to qualify for bonus

7 0

3 years ago

Find all values of x that make the equation -4(x-2)(4x+3)(x-6)

Dominik [7]

Answer:

the answer is -16 x ^3 + 116 x ^2 -96 x -144

5 0

3 years ago

ZABD and DBC are supplementary angles

Levart [38]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the length of the hypotenuse

denpristay [2]

Answer: The answer is “10cm”

Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”

Have a nice day!

4 0

3 years ago