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slega [8]
3 years ago
5

5(x + 6) – 2x = 3(x + 10)

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

x = 0

Step-by-step explanation:

We know: 5(x + 6) – 2x = 3(x + 10)

Distribute: 5x + 30 - 2x = 3x + 30

Rearrange equation: 5x - 2x - 2x = 30 - 30

Combine like terms: 1x = 0

Divide: x = 0

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Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha
Alina [70]
<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

b + (c \times s)

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales \geq 2500

900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500

Solve the inequality

0.05s\geq 2500-900\\\\0.05s \geq  1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0
3 years ago
WILL GIVE BRAINLIEST ANSWER! A circular flower bed is 21 m in diameter and has a circular sidewalk around it that is 33m wide. F
Alina [70]

Answer:

The area of the sidewalk is 144.44 m².

The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.

Since the radius is half the diameter, r = 25/2 = 12.5.

The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².

The diameter of the bed is 21, so the radius is 21/2 = 10.5.

The area of just the flower bed is 3.14(10.5)² = 346.185.

The difference between the two is 490.625-346.185 = 144.44 m².  This is the area of the walkway.

<em>Have a Great Day!</em>

5 0
3 years ago
If one of the sides of the regular polygon pictured has a side length of 3x+2, what is the length of all the sides
leonid [27]

Answer:

3x+2

Step-by-step explanation:

The polygon is regular ,<em> </em>so all the sides would be equal.

Thus all sides measure same as <u>3x</u><u>+</u><u>2</u>

7 0
3 years ago
Mrs. Stern washed
bekas [8.4K]

Answer:

Mrs. Stern washed more

\frac{7}{20} laundry still needs to be washed.

Step-by-step explanation:

Total amount of laundry: \frac{20}{20}

\frac{20}{20} -\frac{2}{5}-\frac{1}{4} =

\frac{20}{20} - \frac{8}{20} -\frac{5}{20} =

\frac{7}{20} of the laundry still needs to be done.

Mrs. Stern washed \frac{8}{20} of the laundry.

Her son washed \frac{5}{20} of the laundry.

Mrs. Stern washed more laundry than her son.

8 0
3 years ago
What is 7 plus the sum of m and -17​
olasank [31]

Answer:

m - 10

Step-by-step explanation:

7 plus = 7 +

The sum of m and -17 = m + (-17)

7 + (m + -17)

We can get rid of the parentheses

7 + m + -17

Combine like terms

7 + -17 = -10

m + -10

Get rid of the addition sign

m - 10

6 0
3 years ago
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