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Otrada [13]
3 years ago
13

2x + 2y =6. 5x + 2y =4. Which of the following equations could be the result of multiplication and addiction to eliminate a vari

able in the system of equations?
A) 19x = 24
B) 19y = 22
C) 11y = 22
Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
4 0
C Is the correct answer
Vinvika [58]3 years ago
3 0

2x+2y=6

5x+2y =4

Multiply eq 1 by 5 and equation 2 by -2

10x+10y = 30

-10x - 4y = -8

Now adding we get

6y = 22

Divide by 2

3Y =11

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It takes 12 hours for a single hose to fill a large vat. When a second hose is added, the vat can be filled in 4 hours. How many
aksik [14]
<h3>Answer:</h3>

6 hours

<h3>Step-by-step explanation:</h3>

The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.

That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.

The second hose alone can fill the vat in 6 hours.

_____

The first hose's rate of doing work is ...

... (1 vat)/(12 hours) = (1/12) vat/hour

If h is the second hose's rate of doing work, then working together their rate is ...

... (1/12 vat/hour) + h = (1/4 vat/hour)

... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour

... h = 1/6 vat/hour

so will take 6 hours to fill 1 vat.

8 0
3 years ago
A cart rolls 2 m to the right then rolls back 1 m to the left.
TEA [102]

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

6 0
3 years ago
A circle with radius 142.5 has an arc with a 24 degree angle. What is the length of the arc?
MissTica

Answer:  59.690260418206

The result is approximate. Round that value however you need to.

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

Explanation:

For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.

C = 2*pi*r

C = 2*pi*142.5

C = 895.353906273091

That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.

That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.

In other words, we want 24/360 = 1/15 of the full perimeter

(1/15)*895.353906273091 = 59.690260418206

5 0
2 years ago
Read 2 more answers
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stepladder [879]
Sorry for bad hand writing

3 0
2 years ago
Find the volume of a right rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units. A. 12 cubic
Aleksandr [31]

Answer: 60

Step-by-step explanation:

V = w h l = 3 x 5 x 4 = 60

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3 0
2 years ago
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