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2 years ago

12

Hannah owns a lemonade stand. She records her transaction throughout the day to keep

1 answer:

Marina CMI [18]2 years ago

3 0

Answer:

-2*3

Step-by-step explanation:

If she had to refund $2 for each cup (-2) and she refunded 3 cups (3) she would lose a balance of -2*3.

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What is the relationship between the two constants of proportionality?

DIA [1.3K]

We call the ratio between two directly proportional quantities the constant of proportionality. When two quantities are directly proportional, they increase and decrease at the same rate. While these two quantities may increase or decrease, the constant of proportionality always remains the same.

6 0

2 years ago

A spinner marked A, B, C is spun then a 6-sided die is rolled. What is the probability of getting a B and then a 6.

BigorU [14]

Given:

A spinner marked A, B, C is spun then a 6-sided die is rolled.

To find:

The probability of getting a B and then a 6.

Solution:

We know that,

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Total possible values for a spinner are 3. So, the probability of getting B, we get

$P(B)=\dfrac{1}{3}$

Total possible values for a die are 6. So, the probability of getting 6, we get

$P(6)=\dfrac{1}{6}$

Now, the probability of getting a B and then a 6 is

$P(B,6)=\dfrac{1}{3}\times \dfrac{1}{6}$

$P(B,6)=\dfrac{1}{18}$

The required probability is $\dfrac{1}{18}$ .

Therefore, the correct option is D.

5 0

2 years ago

F(x)=<img src="https://tex.z-dn.net/?f=%28x%2B1-%7Cx-1%7C%29%2F2" id="TexFormula1" title="(x+1-|x-1|)/2" alt="(x+1-|x-1|)/2" ali

katrin [286]

Answer:

$f(g(x))=\dfrac{|x|+1-||x|-1|}{2}$

Step-by-step explanation:

The most straightforward way is direct substitution of g(x) for x in f(x):

$f(g(x))=\dfrac{|x|+1-||x|-1|}{2}$

8 0

2 years ago

Angle a measures 50 degrees. if angle a is rotated 45 degrees, what is the measure of angle a'?

Sindrei [870]

Answer

The answer is 50 degrees because the measurement does not change even though it moves 1000 times.

Step-by-step explanation:

8 0

3 years ago

You are designing a rectangular swimming pool that is to be sent into the ground. The width of the pool is 5 feet more than the

Vikentia [17]

Answer: depth = 5 ft

width = 10 ft

length = 40 ft

Step-by-step explanation:

d = depth

width = d + 5

length = d + 36

Volume = length x width x depth = 2000 cf

d(d+35)(d+5) = 2000

d( $d^{2}$ + 40d + 175) = 2000

d^3 + 40d^2 + 175d = 2000

rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0

d^3 + 40(d^2) + 175d - 2000 = 0

Find the roots of the cubic polynomial:

factors of 2000 are 1, 5, 10 15, 20, etc.

Try the factor 5 first by plugging it in the equation:

5^3 + 40(5^2) + 175(5) - 2000 = 0

Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.

So, depth = 5 ft

width = 5 + 5 = 10 ft

length = 5 + 35 = 40 ft

6 0

11 months ago