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Nostrana [21]
3 years ago
12

Mary mixes white paint and blue paint in the ratio 2:5.

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:Add 44 liters blue

Step-by-step explanation:Mary has 20 liters of paint mixed white:blue in the ratio 2:3.  So two fifths of that paint is white and three fifths is blue.  So that's 8 liters white, 12 liters blue.

We want to add paint to get white:blue = 1:7.  Clearly we need to add blue.  We have our 8 liters of white, so we need a total of 7(8)=56 liters of blue.  We already have 12, so we have to add 56-12=44 liters of blue paint:

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Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. One-fifth (x minus 2) = 20 By which
miskamm [114]

Answer:

Step-by-step explanation:

Given the equation:

1/5 × (x - 2) = 20

First step to solving the equation is

By multiplying both sides by the value of 5.

That will give,

x - 2 = 100

x = 100 + 2

= 102

6 0
3 years ago
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Jaila went to the butcher and bought 2.42 pounds of ground beef, ¾ pound of bacon, and 3 pork chops that each weigh .36 of a pou
kirill [66]

Answer: 4.25 pound of meat

Step-by-step explanation:

This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.

2.42 + 0.75 + 0.36  ✕ 3 = 4.25 pound

7 0
2 years ago
How do i solve a question like:
Lynna [10]
Let x be the original amount as per the ques tion (7/6) x= 420thus x=420*6/7=360thus the interest earned is 420 -360=60
3 0
3 years ago
Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?
malfutka [58]

Answer:

The distance is \sqrt{20} or 2\sqrt{5}.

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula \sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2   }

Insert (0,7) and (4,5)

\sqrt{(0-4)^{2}+(7-5)^2   } = \sqrt{(-4)^{2}+(2)^2   } = \sqrt{(16)+(4)}  } = \sqrt{20}  = 2\sqrt{5}

6 0
2 years ago
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