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Marat540 [252]
3 years ago
10

Cole gets paid $5,000 plus 16% of all his popcorn sales,x, while Michael gets A fixed salary of $55,000.Write an inequality that

represents the dollar amount of sales that Cole must generate each in order to make more than Michael
Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0

Answer:

5000 + (0.16)x > 55,000

Step-by-step explanation:

<u><em>DATA:</em></u>

Michael's salary = $55,000

Cole's basic salary = $5,000

--> Commission = 16% of sales

--> Sales = x

<u><em>Cole's total salary</em></u>

<em>--> Basic salary + Commission x sales</em>

--> 5000 + 16% of x

--> 5000 + (0.16)x  as 16 percent is equal to 16/100 = 0.16

<u><em>Cole's total salary should be more than Michael's total salary</em></u>

5000 + (0.16)x > 55000

<em>--> Make x the subject</em>

0.16x > 55000-5000

0.16x > 50,000

x > 50,000/0.16

x > 312500

The inequality that represents the dollar amount of sales is 5000 + (0.16)x > 55000.

The dollar amount of sales that Cole must generate should be more than $312500.

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The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli
ira [324]

Answer:

\dfrac{40}{42}

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

\dfrac{x}{x+2}

If both numerator and denominator are decreased by six, the fraction becomes:

\dfrac{x-6}{x+2-6}

The simplified result is \dfrac{17}{18}

Therefore:

\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40

Substituting x=40 into the initial fraction

\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}

Therefore, the original fraction is \dfrac{40}{42}

4 0
3 years ago
Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs
Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

Length: 10\ in

Width: 8\ in

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

<em></em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

Length: 15 in

Width: 12 in

Divide the corresponding lengths of B by A to get the enlargement ratio

Ratio = \frac{B}{A}

For length:

Ratio = \frac{15}{10}

Ratio = 1.5

For width

Ratio = \frac{12}{8}

Ratio = 1.5

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

Length: 20\ in

Width: 10\ in

Calculate Ratios

Ratio = \frac{B}{A}

For length:

Ratio = \frac{20}{10}

Ratio = 2

For width

Ratio = \frac{10}{8}

Ratio = 1.25

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

5 0
3 years ago
2.8*10⁶=?<br>solve the equation​, please
garri49 [273]

Answer:

2800000

Step-by-step explanation:

10^6 means 1000000

2.8 x 1000000 = 2800000

7 0
3 years ago
How can the zero product be applied to real life
ddd [48]

Answer:

The zero product property states that if a⋅b=0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5)=0.

The Zero Product Property simply states that if ab=0 , then either a=0  or  b=0 (or both). A product of factors is zero if and only if one or more of the factors is zero.

Step-by-step explanation:

hope it helps

7 0
2 years ago
50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
NeTakaya
I think answer is 9.3 after it’s rounded
use the formula a^2 +b^2=c^2
5 0
3 years ago
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