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3 years ago

L Practice & Problem Solving

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

xjxjxjzjzjxxjxjxjxjx

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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

3 years ago

I don’t understand what I need to do in this problem or how to get the answers

ANTONII [103]

Answer:

2.5 is your answer.

Step-by-step explanation:

Since the given hypotenuse is 6.5 and one of the lengths is given as 6, we can use the equation a^2 +b^2 =c^2 to solve this. Plugging the numbers in, it would now be 6^2+b^2 =6.5^2, which would give you 36+b^2=42.25. Now, all you need to do is solve. Subtract 36 from 42.25, which will result in 6.25. Now, the equation is at b^2=6.25. All you need to do now is find the square root of 6.25, which would be 2.5, therefore giving you your answer.

5 0

3 years ago

3. A recipe for banana bread calls for 0.5 cup of vegetable oil. If the baker

vazorg [7]

1.5 cups of vegetable oil

3 0

3 years ago

A number is 6 times another number and their difference is 30. What are the numbers?

Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0

4 years ago

I have no idea what to do

kirill115 [55]

Answer:

Divide.

Step-by-step explanation:

6 0

3 years ago