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andrey2020 [161]
3 years ago
13

June has a total of 35 marbles. She has 4 times as many blue marbles as green marbles. She writes the following system of equati

ons to represent the situation.
{b+g=35
b=4g
What method would you use to solve this equation? Explain your answer.
Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer:

June has 7 green and 28 blue marbles

Step-by-step explanation:

b + g = 35

b = 4g

Use substitution method to solve them simultaneously

4g + g = 35

5g = 35

g = 7

b = 4g = 4(7) = 28

b = 28, g = 7

She has 7 green and 28 blue marbles

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200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount
torisob [31]

Answer:

16

Step-by-step explanation:

Given the equation, 200 + 10x = 120 + 15x, let's solve for x as follows,

Subtract 200 from both sides

200 + 10x - 200 = 120 + 15x - 200

10x = - 80 + 15x

Subtract 15x from both sides

10x - 15x = - 80 + 15x - 15x

-5x = - 80

Divide both sides by -5

\frac{-5x}{-5} = \frac{-80}{5}

x = 16

8 0
2 years ago
A thief steals a number of rare plants from a nursery. On the way​ out, the thief meets three security​ guards, one after anothe
DedPeter [7]

The thief originally stole 64 plants.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of plants originally stolen by the thief be x.
On the way​ out, the thief meets three security​ guards, one after another. To each security​ guard, the thief is forced to give one-half of the plants that he still​ had, plus 2 more.​

Here,
For gourd 1 the planet is given = 1/2 x
For gourd 2 the planet is given = 1/2 * 1/2 x = 1/4 x
For gourd 3 the planet is given = 1/2*1/4 x = 1/8 x
Total plant given to the gourds = 1/2x +1/4x +1/8x + 2 = 7/x/8x +2
Finally, the thief leaves the nursery with 10 plants
x - 7x/8 + 2 = 10
x/8 = 8
x = 64

Thus, the thief stole 64 plants.

Learn more about arithmetic here:

brainly.com/question/14753192

<h3>#SPJ1</h3>


7 0
1 year ago
On a number line what is the distance between -12 and 20 ??
KIM [24]

Answer:  Step-by-step explanation:

In order to answer this question you will need to find 2 distances and then add them to each other.

Begin at -29.  How far will you have to move to the right 29 in order to get to 0?

Now how far will you have to more to get from 0 to 100?

Draw an open number line to help you.

_____________________________________________________

-29                                           0                                                   100

Your first distance is 29.  Your second distance is 100.  The total distance is 129.

3 0
3 years ago
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irga5000 [103]

Answer:

D.

Step-by-step explanation:

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8 0
2 years ago
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Select two numbers in which the value of the 8 is 10 times the value 8 in 563840
SVETLANKA909090 [29]

Answer:

768,543, and 8,451

Step-by-step explanation:

The 8 is in the hundreds place, so when multiplied by 10 it would be in the thousands place.

7 0
3 years ago
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