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kodGreya [7K]
3 years ago
11

What is 2x+y=0 5x+3y=-11

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0

2x+y=0\qquad\text{subtract 2x from both sides}\\\\y=-2x\\\\\text{Put it to the second equation}\ 5x+3y=-11:\\\\5x+3(-2x)=-11\\\\5x-6x=-11\\\\-x=-11\qquad\text{change the signs}\\\\\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\y=-2(11)\\\\\boxed{y=-22}\\\\Answer:\ \boxed{x=11\ and\ y=-22}

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You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.
Ludmilka [50]

Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be x.

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be 2:180.

So, in 5.5 cups there are x calories.

5.5 cups is equivalent to x calories.

Thus, the ratio would be 5.5:x.

Now, we set proportion to get the number of calories in 5.5 cups:

2:180::5.5:x

\frac{2}{180} =\frac{5.5}{x}

<em>By cross multiplying we get:</em>

2x=990

<em>Dividing both sides by 2 we get:</em>

x=495.

Therefore, the number of calories in 5.5 cups are 495.

4 0
4 years ago
In an election, about 500,000 people voted in all. What could be the exact number of people who voted in the election?
elixir [45]
I am going to give a few answers:

497,543
504,690
501,991
496,900
6 0
3 years ago
Alan washed 60 plates in 30 minutes. It took him 3 minutes to wash 6 plates. Is the number of plates washed in 3 minutes proport
timofeeve [1]

Answer:

Yes

Step-by-step explanation:

The numbers both multiplied by 10

3 -6

30-60

7 0
3 years ago
PLEASE HELP, LIMITED TIME!!!!!
Elenna [48]
48 i believe thats the best i can find
3 0
4 years ago
Read 2 more answers
What is the slope of the line?
riadik2000 [5.3K]

Answer:

The slope of the line must be 3

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

we know that

The volume of a rectangular prism is equal to

V_r_p=Bh ----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

V_s_p=\frac{1}{3}Bh -----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

V_s_p=\frac{1}{3}V_r_p

Find the relationship between the volume of  a rectangular prism and the volume of a square pyramid

\frac{V_r_p}{V_s_p}=3

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

m=\frac{y2-y1}{x2-x1}

Choosing the points (2,6) and (3,9)

substitute

m=\frac{9-6}{3-2}=3 ----> is correct

8 0
4 years ago
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