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Svetradugi [14.3K]
3 years ago
6

Multiply. Write your answer as a fractionin simplest form. 8/15(−2/3)=

Mathematics
1 answer:
Rudiy273 years ago
7 0

Answer:

-16/45

Step-by-step explanation:

8/15 x (-2/3)

multiplying a positive and a negative equals a negative

-8/15 x 2/3

multiply the fractions

-16/45

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Mrs.Cleaver mixes 1.24 liters of red paint with 3 times of blue paint to obtain purple paint. She divides the paint equally in 5
slamgirl [31]

The amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Further explanation:

Mrs. Cleaver mixes 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint used is calculated as,

{3} \times {1.24}=3.72 \text { liters}

Therefore, the total paint mixture is the sum of blue paint and red paint.

\fbox{\begin \\\begin{aligned} \text{Total paint}= 1.24+3.72\\=4.96 \text{ liters}\\\end{aligned}\\\end{minispace}}

Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,

\boxed{\begin{aligned}\text{Amount of paint in one container}&= \dfrac{4.96}{5}\\ &=0.992 \text{ liters} \end {aligned}}

Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is \dfrac{3}{4}.  

Now, as it is known that the fraction of blue paint to the total paint is \dfrac{3}{4} and the amount of paint in a container is 0.992 \text{ liters} then the blue paint in one container is calculated as,

\boxed{\begin{aligned}\text{Blue paint in one container} =\dfrac{3}{4} \times 0.992\\=0.248 \text{ liters}\end{aligned}}

Thus, the amount of blue paint in each container is \fbox{\begin\\\ 0.744 liters \end{minispace}}.

Learn more:  

1. To solve one variable linear equation brainly.com/question/1682776

2. Linear equation application brainly.com/question/2479097

3. Composite functions brainly.com/question/2142762

Answer details  

Grade: Middle school  

Subject: Mathematics  

Chapter: Mixtures and ratios

Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.

4 0
3 years ago
Read 2 more answers
Which number represents a repeating decimal?<br> 1/6, 25%, 0.5020202
mafiozo [28]
1/6 is the only one that repeats forever. 0.16666666666etc.
8 0
2 years ago
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To make a greeting card, Bryce used 1/8 sheet of red paper, 3/8 sheet of green paper, and 7/8
Olegator [25]

Answer:

Three sheets

Step-by-step explanation:

Even though he used less than an entire sheet of each color, he still used three sheets of paper to make the card.

8 0
2 years ago
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What is the value of x in this equation? 5x − 2(2x − 1) = 6
MakcuM [25]

Answer:

x=4

Step-by-step explanation:

5x-4x+2=6

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x=6-2

x=4

7 0
3 years ago
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What is an<br> equation of the line that passes through the points (-3,8) and (4,1)?
GuDViN [60]

Answer: y= -1x + 5

Step-by-step explanation:

(-3,8) ( 4,1)

8-1= 7

-3-4 = -7

7/-7 = -1  so the slope is -1   so we will use the formula y=mx+b to find the y-intercept

8= -1(-3) + b

8= 3 + b

-3   -3

b= 5  so the y intercept is 5 now we will write the equation like this y= -1x + 5

6 0
3 years ago
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