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Naya [18.7K]
2 years ago
8

2x+3y=12 and y=x+1.5 in substitution form

Mathematics
1 answer:
Sonbull [250]2 years ago
4 0

Answer:

(1.5, 3)

Step-by-step explanation:

Given the 2 equations

2x + 3y = 12 → (1)

y = x + 1.5 → (2)

Substitute y = x + 1. 5 into (1)

2x + 3(x + 1.5) = 12 ← distribute and simplify left side

2x + 3x + 4.5 = 12

5x + 4.5 = 12 ( subtract 4.5 from both sides )

5x = 7.5 ( divide both sides by 5 )

x = 1.5

Substitute x = 1.5 into (2) for corresponding value of y

y = 1.5 + 1.5 = 3

Solution is (1.5, 3)

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What is this number in standard form?
attashe74 [19]

The number (7×100)+(4×1/100)+(8×1/1,000) in standard form is 7.0048 × 10²

<h3>How to write number in standard form?</h3>

The number can be represented in standard form as follows:

(7 × 100) + (4 × 1/100)+(8 × 1/1,000)

Therefore,

7 × 100 = 700 = 7 × 10²

4 × 1/100 = 4 × 10⁻²

8 × 1/1,000 = 8 × 10⁻³

Therefore,

7 × 10² + 4 × 10⁻² + 8 × 10⁻³ = 700.048 = 7.0048 × 10²

learn more on standard form here: brainly.com/question/22649174

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6 0
2 years ago
How can you use 4s fact to find 7x8? Give the product in your explanation.
Mkey [24]
So 4's facts

we know that 4 times 2=8 and the associative property of multiplication says
a(bc)=(ab)c

so 7(8) (means 7 times 8) means 7((4)(2)) and associative say we can group them and say (7)(4)(2) so (4)((7)(2)) or 4(14) and 4 times 14=56

7 times 8=56
7 0
3 years ago
When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?
oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

3x+2y=2\\2x-y=6

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12

Next, use elimination to find the value of "x":

3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2

So, your x-value is 2.

Now, substitute your x-value into one of your equations, let's take the second equation, 2x-y=6:

2x-y=6\\2(2)-y=6\\4-y=6\\4-4-y=6-4\\-y=2\\\frac{-y}{1}=\frac{2}{-1}\\y=-2

Your y-value is -2.

With all your information gathered, you find that the solution to this system of equation is (2,-2).

5 0
2 years ago
Find the product -7/5(4/5)
katen-ka-za [31]

Answer:

-28/25 or -1 3/25

Step-by-step explanation:

Hope this helps

4 0
2 years ago
julio has 13 red marbles 4 blue mables and 8 yellow marbles julio draws a marble out of the bag 100 times how many time out of 1
Keith_Richards [23]

Answer:

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Step-by-step explanation:

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4/25 times =   ?/100 times

Because 25 times 4 is equal to 100, you then multiply 4 by 4 to get 16

16/100 times

8 0
2 years ago
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