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Ostrovityanka [42]
3 years ago
8

Victoria is a manager at a makeup company. She has two makeup artists, Taylor and Lauren. Taylor can complete a large project in

6 hours. Brianne can complete the project in 8 hours. Victoria wants to know how long it will take them to complete the project together. Write an equation and solve for the time it takes Taylor and Lauren to complete the project together. Explain each step.
Mathematics
1 answer:
Vladimir [108]3 years ago
8 0
The rate of how many projects Taylor can complete can be modeled at x/6 and Brianne can be modelled as x/8. So, by combining the functions and setting equal to 1, you can solve. 

x/6 + x/8 = 1

You have to give common demoninators

4x/24 + 3x/24 = 1

Then add together and cross multiply. Giving you an answer of 24/7 or roughly 3.43 hours when rounded to the nearest hundredth. 
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Whiskers the cat weighs 2 2/3 kg. Piglo weighs 4kg. For each question , write a myipulcation and a division equation, decide whe
Liula [17]

Answer:

1) x= 3/2=  1 1/2

2) x=  2/3

Step-by-step explanation:

1)How many times as heavy as  Whiskers is  Piglio?

a) Write a multiplication equation for the question.

2 2/3 kg  * [x]= 4kg

b) Write a division equation for the question.

4/ 2 (2/3) = x

c) Is the answer greater than 1 or less than 1?

Ans) Greater than 1                      

d) Find the answer

4/ 8/3= x

x= 3/2= 1 1/2

Pigilo is 1 1/2 times as heavy as whiskers

2)How many times as heavy as Piglio is Whiskers?

a) Write a multiplication equation for the question.

4 kg  * [x]=  2 2/3 kg

b) Write a division equation for the question.

2 (2/3)/4  = x

c) Is the answer greater than 1 or less than 1?

Ans) Less than 1                      

d) Find the answer

 8/3/4= x

  8/3 * 1/4= x

   2/3= x

Whiskers is 2/3 times as heavy as Pigilo.

5 0
3 years ago
Factor completely 2x2 + 2x − 24. 2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6)
Veseljchak [2.6K]
2<span>x<span><span>​</span></span></span>² <span><span><span>​ ​</span></span></span>+ 2x − 2<span>4

</span><span>GCF = 2

2(2x</span>²/2 + 2x/2 - 24/2)
<span>
2(x - 3)(x + 4)</span>
7 0
3 years ago
Read 2 more answers
Translate the expression: four times the difference of 7 and a number.
ivolga24 [154]

Answer:

4 x (7-x)

Step-by-step explanation:

4 times (multiply) the difference (subtraction) of 7 and a number (seeing as how you don't know that number use a variable, x)

6 0
2 years ago
Find the mean, variance, and standard deviation. If necessary, round your answer to the nearest hundredth.
storchak [24]

Your answer would be 4.

4 0
3 years ago
Please help!
mrs_skeptik [129]

Answer:

2/3

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

 = (12-8)/(4 - -2)

  (12-8)/(4+2)

  4/6

   2/3

7 0
3 years ago
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