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3 years ago

Show your work on the question

Mathematics

1 answer:

AysviL [449]3 years ago

6 0

Answer:

OPTION A: 3x - 1 = ± 5

Step-by-step explanation:

We have (3x - 1)² = 25

In OPTION A, Square root is taken on both sides.

This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.

IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.

In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.

In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.

Therefore, the correct option is A.

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Mrs. Cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. She pours the paint equally in

otez555 [7]

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

Further explanation:

The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.

So, the amount of blue paint is calculated as,

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

Therefore, the total amount of 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 of the five containers is $\fbox{\begin\\\ 0.744 liters \end{minispace}}$ .

Learn more:

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

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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.

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3 years ago

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Statistics endeavors to: Choose one • 10 points a. Calculate means b. Make correlations c. To be used by experts d. All of the a

Daniel [21]

Answer:

d. All of the above

Step-by-step explanation:

a. Statistics provides the tool to measure the central tendency of a given data. One of such measure is the statistical mean popularly referred to as the mean.

b. The correlation between variables can be determined by the use of statistical tools. correlation is the degree to linearity between variables,

c. Experts in different fields from Accounting to Zoology make use of statistics in their analysis.

From the above analysis, it can be safely concluded that all of the above (i.e. option d.) is correct.

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3 years ago

$5.42 in change. How much did each bag of chips cost?

Gnoma [55]

Answer:

$2.71

Step-by-step explanation:

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I multiplied $2.71 by 2 and that gave me $5.42

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3 years ago

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I need help with this

Natali [406]

Answer: 1,004.8 cubic meters (choice D)

Work Shown:

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*8^2*15

V = 1,004.8

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2 years ago

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Unit #2 – Lesson #1 Exit Ticket: Is r=7 a solution to the equation shown below? Justify your yes no response. 6x+5=x? - 2

Vikki [24]

(First equation:Multiply 6•7=42. 42+5=47)=(second equation:7 to the 2nd power is 49. 49-2=47 )

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3 years ago