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Pavel [41]
1 year ago
12

To solve this system of equations using substitution, what could be substituted in place of y in the first equation? 4x = 5 − 2y

y − 2x = 7
Mathematics
1 answer:
erik [133]1 year ago
6 0

Answer:

y = -\frac{4x-5}{2}

Step-by-step explanation:

Step 1: Switch sides

5 - 2y = 4x

Step 2: Subtract 5 from both sides

5 - 2y - 5 = 4x - 5

Step 3: Simplify

-2y = 4x - 5

Step 4: Divide both sides by -2

\frac{-2y}{-2} = \frac{4x}{-2} - \frac{5}{-2}

Step 5: Simplify

y = -\frac{4x-5}{2}

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Phil weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many
serg [7]

Answer:

5 months

Step-by-step explanation:

I'm assuming there was a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight

We can use LCM for this

So lets make a list for both of them

Phil:120, 130, 140, 150, 160, 170, 180, 190, 200

Bill: 150, 154, 158, 162, 166, 170, 174

As you can see here, after 5 months, they will have the same weight.

We can check our work to.

lets do 120+(10*5)=170

and 150+(4*5)=170

I hope this makes sense

4 0
3 years ago
Here is a cuboid.<br>15 cm<br>4cm<br>10 cm<br>Work out the volume of the cuboid,​
aliya0001 [1]

Answer:

600 units squared

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
He number of bats in a colony is growing exponentially. after 2 years, there were 220 bats. after 4 years, there were 880 bats.
dezoksy [38]

An exponential equation can be written from its description using the form

... y = (reference value)·((later value)/(reference value))^((t - (reference time))/(later time - reference time))

Here, we have

... reference value = 220; reference time = 2; later value = 880; later time = 4

so we can write the exponential equation as

... y = 220·(880/220)^((t-2)/(4-2)) = 220·4^(t/2 -1) = 55·2^t

Then for t=10, the expected number is

... y = 55·2^10 = 56,320

3 0
2 years ago
The length of a rectangle is 2 more than twice the width. Find the dimensions of the rectangle if the perimeter is 76.
IceJOKER [234]
If the length of a rectangle is 2 more than twice the width, the equation for length=2x+2
width=x
perimeter=2l+2w
[2(2x+2)][2(x)]=4x+4+2x=6x+4
3 0
2 years ago
Find the 12th term of the geometric sequence -2,4,-8..
WINSTONCH [101]

Answer:

-16394

Step-by-step explanation:

Pattern rule : Start at -2 and multiply it by -2.

-2 x -2 = 4

4 x -2 = -8

-8 x -2 = 16

16 x -2 = -32

- 32 x -2 = 64...so on

3 0
3 years ago
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