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Leviafan [203]
2 years ago
8

Marcus works at a clothing store and gets an employee discount. The price

Mathematics
1 answer:
dybincka [34]2 years ago
3 0

9514 1404 393

Answer:

  d(32) = 28.80

  the price Marcus pays on an item with an original price of 32

Step-by-step explanation:

  d(32) = 32 -0.1(32)

  d(32) = 28.8

The problem statement tells you d(32) is the price Marcus pays when the original price is 32.

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If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of
labwork [276]

Answer:

S = 62.5%

Step-by-step explanation:

  • Let the junior members be J.
  • Let the senior members be S.

<u>Given the following data;</u>

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

S = \frac {5}{8} * 100

S = \frac {500}{8}

<em>S = 62.5%</em>

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

4 0
2 years ago
A spinner is separated into 5 equal pieces, as shown below: patrick spins the spinner 9 times. what is the theoretical probabili
DerKrebs [107]

To solve this problem, let us first define what probability means in this case. It would be:

Probability = (number of colors to choose from) / (total number of colors)

There are a total of 5 colors on the spinner. The number of colors to choose from spins 1 to 8 would be 5 out of 5, while for the last spin 9 the number of colors to choose from would only be brown so that would be 1 out of 5. The total probability would be the product of the probability of each spins, therefore:

<span>Probability = 1st spin * 2nd spin * 3rd spin * 4th spin * 5th spin * 6th spin * 7th spin * 8th spin * 9th spin</span>

Probability = (5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) * (1/5)

Probability = 0.2

<span>There is a 20% chance to get brown on the last spin.</span>

6 0
3 years ago
Read 2 more answers
What is 88 over 55 in long division
8090 [49]
Dividing 55 into 88  

= 1 /33/55    = 1 3/5    or 1.6
8 0
3 years ago
What is the perimeter of triangle XYZ? <br> Perimeter = ... units
Bad White [126]

Answer: 96

Step-by-step explanation:

3 0
3 years ago
when a polynomial x^3-ax^2-2x+2a+6 leaves a remainder (a+2) when divided by (x-a), find the value of a.​
Tatiana [17]

Answer:

a = 4

Step-by-step explanation:

We are given that the polynomial:

\displaystyle x^3 - ax^2 - 2x + 2a + 6

Has the remainder (<em>a</em> + 2) when divided by (<em>x</em> - <em>a</em>), and we want to determine the value of <em>a</em>.

Recall that from the Polynomial Remainder Theorem, when dividing a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), the remainder will be given by P(a).

Since the remainder is (<em>a</em> + 2) when divided by (<em>x</em> - <em>a</em>), P(a) must equal (<em>a</em> + 2):

\displaystyle P(a) = a+2

Substitute:

\displaystyle (a)^3 - a(a)^2 -2(a) + 2a + 6 = a + 2

Simplify and solve for <em>a: </em>

<em />\displaystyle \begin{aligned} a^3 - a^3 - 2a + 2a + 6 &= a + 2 \\ \\ 6 &= a+2 \\ \\ a &= 4\end{aligned}<em />

<em />

In conclusion, the value of <em>a</em> is 4.

7 0
3 years ago
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