4=2(c-6)-4 solve for c

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

Which of the following expressions shows how to rewrite 5 − 6 using the additive inverse and displays the expression correctly o

Andru [333]

The correct display of the expression on a number line is number line (c)

<h3>How to determine the expression that shows how to rewrite 5 − 6 using the additive inverse?</h3>

The complete question is added as an attachment

The expression is given as:

5 - 6

Put 6 in a bracket.

So, we have:

5 - 6 = 5 - (6)

Express 6 as --6

So, we have:

5 - 6 = 5 - -(-6)

Rewrite as:

5 - 6 = 5 + (-6)

The above means that the arrow on the number line must start from 5 and moves in the negative direction in 6 units

The correct display of the expression on a number line is number line (c)

Read more about number lines at:

brainly.com/question/24644930

#SPJ1

7 0

1 year ago

1 and 5/7 x 1/6 simplify

konstantin123 [22]

Answer:

0.286

Step-by-step explanation:

12/7 x 1/6

3 0

2 years ago

A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the

Musya8 [376]

The total number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

Seats filled by students are 570 seats

Which is 95% of the total number of seats in the theater

Step: 1

Let, x - Total number of seats available in theater

Percentage of seats filled, y= 95%

Seats filled by students = 570

Formula to calculate total number of seats in theater,

95% of seats $= \frac{95}{100}( x)$

570 = $0.95 (x)$

x = $\frac{570}{0.95}$

= 600

x = 600 seats

Step: 2

Check for solution,

5% of seats $= \frac{5}{100} (600)$

= (0.05 × 600)

= 30 seats

Total no. of seats = 5% of seats + 95% of seats

= 30 + 570

600 = 600

Result:

The total number of seats in the theater is 600 seats.

7 0

3 years ago

There is a line whose slope is 7 and whose y-intercept is 9. What is its equation in slope-intercept form?

Alex73 [517]

Answer:

Y=7x+9

Step-by-step explanation:

Y=mx + b

b= y-intercept

m=slope

Substitute:

Y=7x+9

4 0

3 years ago