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Fiesta28 [93]
2 years ago
7

For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins

this march 1, on what day of the month will she do both jobs?
Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

Answer: March 28

Step-by-step explanation:

Solve for this by checking for the lowest common multiple of 7 and 4.

Multiples of 7: 7, 14, 21, 28, 35

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.

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Find the factors of function g.
SashulF [63]
This will be 2400 cause there is nothing in the ones place
3 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
Under a dilation centered at the origin, the point (-4 , 3) has image at (8 , -6) The dilation is _____
Sveta_85 [38]

Answer:

2

Step-by-step explanation:

see the image for the explanation

4 0
3 years ago
34. Find the surface area for the following rectangular prism ​
Taya2010 [7]

\huge\fbox\green{ANSWER}

Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2

\mathsf \blue{83.25 {cm}^{2} }

4 0
2 years ago
Horizontal pieces can be produced at a rate of 200 per labor hour. a carpenter uses 500 horizontal pieces and 22 vertical pieces
ira [324]
  1. The number of vertical pieces will be 28. Then the correct option is A.
  2. The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

Horizontal pieces can be produced at a rate of 200 per labor hour.

A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.

You have 900 horizontal pieces and 50 vertical pieces in stock right now.

For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.

1.  Then at the end of the next hour, the number of vertical pieces available in stock will be

→ 50 - 22

→ 28

Thus, the number of verticle pieces will be 28.

2.  Then at the end of the next hour, then the number of horizontal pieces available in stock will be

→ 900 + 200 - 500

→ 600

More about the decision-making link is given below.

brainly.com/question/3369578

#SPJ1

7 0
2 years ago
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