MATHEMATICS MIDDLE SCHOOL

In the equation below, for what value of c does x = 4?
3(2x + 4) = 3x - c

Answers

Answer 1

Answer: 3(2x+4)=3x-c, 24+12=12-c, 36=12-c, 24=-c, c=-24

Answer 2

Answer:

Answer:C=-24

Step-by-step explanation:

Sub x with 4 then get c alone

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the length of your garden must exceed the width of the garden by 3 feet. you only have 58 feet of fencing to go around the perimeter. if you use all the fencing, what will be the dimensions of your garden?

Answers

First let us represent
x-width
x+3-length

Since it has a width and length, we can say it is a rectangle so the formula for the perimeter of it is 2(l+w)

p=2(l+w)
58=2(x+3+x)
58=(2x+3)2
58=4x+6
52=4x
x=13

the width is 13 and the length is 16

What is the difference between 9squere unit and 9 cubic units

Answers

9 square units is 9 to the scond power (9*2)while 9 cubic units is 9 cubed to third power (9*3)

Ali and Tibor get paid $9 per hour. This week, Tibor made an additional $27 in overtime.a). Write and expression that represents the weekly wages of Ali and Tibor. Let a represents the number of hours Ali worked this week and let t represent the number of hours Tibor worked this week.

b). Can you write the expression in another way? If so, give an example. Justify your answer.

Answers

9a + (9t+27)=x

To write it another way you could flip the numbers around:

(9t+27)+9a=x

Or flip the variable to the other side.

x=9a + (9t+27)

Any way you put the numbers as long as x is on the either side, you will get the same answer.

Hope this helps!

The four highest scores at a diving meet were 9.08, 9.1, 9.15, and 9.06 points. Which of 3 of these numbers were the lowest out of all 4 of the numbers?

Answers

From lowest to highest:
9.06, 9.08, 9.1, 9.15
3 lowest numbers are 9.06, 9.08, and 9.1

all you have to do is put them in order from least to greatest
9.06, 9.08, 9.1, 9.15
hope i helped you out in some type of way

The graph of a proportional relationship contains the point (20, 4).What is the corresponding equation?
Enter your answer as a fraction in simplest form in the box.

y = x

Answers

Answer:

$y=(1)/(5)x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$point (20,4)$

Substitute the values and solve for k

$k=y/x$

$k=(4)/(20) =(1)/(5)$

therefore

the equation of the line is equal to

$y=(1)/(5)x$

Answer:

$y = (1)/(5)x$

Step-by-step explanation:

Direct proportionality states:

if $y \propto x$

then, the equation is in the form of:

$y = kx$ ......[1] where, k is the constant of proportionality.

As per the statement:

The graph of a proportional relationship contains the point (20, 4).

Substitute these point in [1] we have;

$4 = 20x$

Divide both sides by 20 we have;

$(1)/(5) = k$

$k=(1)/(5)$

Therefore, the corresponding equation is:

$y = (1)/(5)x$

There are 8 volunteers at the telethon. The goal for the evening is to raise $952. If each volunteer raises the same amount, what is the minimum amount each needs to raise to meet the goal