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Darina [25.2K]
2 years ago
10

Write the equation of a vertical line running through the point (-2,-10)

Mathematics
1 answer:
spin [16.1K]2 years ago
7 0

Answer:

The equation of a vertical line is  x = -2

Step-by-step explanation:

<u><em>Explanatio</em></u>n:-

The equation of a vertical line is  x = a

The graph of a vertical line is take values only 'x'

Given that the point is (-2,-10)

The equation of a vertical line is  x = -2

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Work out the missing value in the calculation below​
fiasKO [112]

Answer:

5

Step-by-step explanation:

\frac{2}{3} +\frac{1}{6}= \frac{ }{6}  \\

Here LCM will be 6. (We made the denominator same)

so, now the equation will be :

\frac{2}{3}+\frac{1}{6}    \\\\  =\frac{4}{6} + \frac{1}{6}

= 5/6

So, the value in the red box is 5.

Hope it helps!

3 0
2 years ago
Which of the following represents a combination? Select all that apply.
Svetradugi [14.3K]

Answer:

Combinations:

A committee consisting of three members with the same role

Selecting two sandwiches from a menu of 10

Step-by-step explanation:

A combination is a selection of items from a collection, such that the order of selection does not matter.

A permutation is a selection of items from a collection, such that the order of selection matters.

A. The PIN for a bank or credit card - order matters → permutation

B. A committee consisting of three members with the same role - order does not matter → combination

C. A committee consisting of a president, vice president, and secretary - order matters → permutation

D. Final standings in a professional sports league - order matters → permutation

E. Selecting two sandwiches from a menu of 10 - order does not matter → combination

3 0
3 years ago
A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

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

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

5 0
3 years ago
Race car driver Mario won 3 races and earn 75 points for each win. During the fourth race, he had dedications of 55 points, 104
svet-max [94.6K]

Answer:

he has 472 points now.

Step-by-step explanation:

5 0
3 years ago
Maria mixes \frac{1}{4} cup white sugar and \frac{2}{3} cup brown sugar to make a topping for some muffins. She uses \frac{1}{12
Hoochie [10]

Answer: 11 muffins

Step-by-step explanation:

Since Maria mixes 1/4 cup white sugar with 2/3 cup brown sugar, this will give us a mixture of:

= 1/4 + 2/3

= 3/12 + 8/12

= 11/12

Ww are then told that she uses 1/12 cup of the mixture to top each muffin. Therefore, the number of muffins that she can top will be:

= 11/12 ÷ 1/12

= 11/12 × 12/1

= 12

She can top 11 muffins.

3 0
2 years ago
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