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viktelen [127]
3 years ago
13

Solve, using the substitution method.

Mathematics
1 answer:
inna [77]3 years ago
8 0
Y - 2x = 8 . . . . (1)
16 + 4x = 2y . . (2)

From (1), y = 2x + 8 . . . (3)

Putting (3) into (2) gives
16 + 4x = 2(2x + 8) = 4x + 16
0 = 0

Therefore, there are infinite number of solutions.
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Convert the decimal to a percent. 0.007
Tanya [424]
To convert a decimal to a percent simply just move the decimal point two places to the right and add the percent sign;
0.007 = 0.7%
Hope that helps:D
3 0
3 years ago
Read 2 more answers
-8z+(4.5)+3.5z+7y-1.5
bogdanovich [222]

Answer:

  • \boxed{\sf{7y+3-4.5z}}

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}

<u>First, thing you do is remove parentheses.</u>

\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}

<u>Solve.</u>

<u>Then, you combine like terms.</u>

\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}

<u>Add/subtract the numbers from left to right.</u>

-8z+3.5z=-4.5z

<u>Rewrite the problem down.</u>

\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}

<u>Solve.</u>

4.5-1.5=3

\Longrightarrow: \boxed{\sf{7y+3-4.5z}}

  • <u>Therefore, the correct answer is 7y+3-4.5z.</u>

I hope this helps, let me know if you have any questions.

6 0
2 years ago
The radioactive substance cesium-137 has a half-life of
statuscvo [17]
A(t)=A0*(1/2)^(t/30)
where t=elapsed years
A0=initial mass at t=0.
7 0
3 years ago
What are the steps she used ?
Serjik [45]
1. Add x on both sides of the equation.
2. Subtract 5 from both sides of the equation.
3. Divide both sides of the equation by 3.

If these aren’t options, tell me the options for each dropdown in the comments and I can help further.

Please consider marking this answer as Brainliest to help me advance.
6 0
3 years ago
Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra
astra-53 [7]

Answer:

a. b. c. and d.  are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

                                  &

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

<em>a. 3/4 of a 4-gallon mix would be yellow paint.</em>

<em>True. 3 out of 4 gallon mix is yellow and 1 out 4 is red</em>

<em />

<em>b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.</em>

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

<em>1/3 gallon of red paint: 1 gallon of yellow paint. True</em>

<em />

<em>c. Every 1 gallon of red paint requires 3 gallons of yellow paint.</em>

<em>True. </em>1 gallon of red paint : 3 gallons of yellow paint

<em />

<em>d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.</em>

<em>True. 1 out of 4 is red and 3 out of 4 is yellow.</em>

<em />

<em>e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.</em>

<em />

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

<em />

6 0
3 years ago
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