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2 years ago

Tom and Darlene want to place new carpet in their home. They decide to

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

4 0

Answer:

Draught-fission1 hfhhdhbxbbd

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

2 years ago

A number is chosen at random from the first 100 positive integers. find the probability that the number is divisible by 5. 1/10

Arlecino [84]

The probability that the number chosen is divisible by 5 is; 1/5.

<h3>What is the probability that the number chosen is divisible by 5?</h3>

It follows from the task content that the number of possible outcomes in the probability event is; 100. Additionally, the number of required outcomes is 20 as only 20 numbers are divisible by 5.

Ultimately, the required probability is; 20/100 = 1/5.

Read more on probability;

brainly.com/question/7965468

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1 year ago

I am having trouble solving for Y. I solved for X in the second equation, but I cannot seem to figure it out by substituting for

kumpel [21]

X - 2y = -10 --> x = 2y -10

3x + 5y = 25 --> 3(2y-10) + 5y = 25 --> 11y - 30 = 25 --> 11y = 55 --> y = 5

x = 2y -10 --> x = 2(5) -10 --> x =10 -10 --> x =0

Answer (0,5)

5 0

2 years ago

Simplify the radical completely.

AlladinOne [14]

Answer:

Step-by-step explanation:

$\sqrt{300} = \sqrt{100 \times 3} = \sqrt{100} \times \sqrt{3} = 10 \sqrt{3}$

3 0

1 year ago

What should be done to both sides of the equation in order to solve -5m=-40

irina1246 [14]

Answer:

divide each side by -5

Step-by-step explanation:

-5m = -40

divide each side by -5

-5m/-5 = -40/-5

m = 5

3 0

2 years ago

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