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3 years ago

Lee spends $9 on 3 comic books. Each book costs the same amount.

Mathematics

1 answer:

kobusy [5.1K]3 years ago

3 0

3c=9

$3 per comic book (c) equals the total amount of money spent, $9.

You can solve this expression by dividing both sides by 3.

c=3, which means that each book costs $3.

I hope this helps :)

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Which ordered pair is a solution for 3x + 4y < 12?

Andre45 [30]

Answer:

D, (1,2)

Step-by-step explanation:

It all comes down to substitution. In this case the coefficient of x is 3 and the coefficient of y is 4. The format of these coordinates being (x,y).

1. Plug in your x value (1 in this circumstance) and solve:

3(1) + 4y < 12

3 + 4y < 12

2. Plug in your y value (2 in this circumstance) and solve:

3 + 4(2) < 12

3 + 8 < 12

3. Solve

3 + 8 = 11

11 < 12

5 0

3 years ago

Maggie purchased 8 pounds of ground beef for $18.00. Which of the following does NOT represent the same price per pound?

agasfer [191]

Answer: 5 pounds of ground beef ( don't see second :-( )

Step-by-step explanation: I found the unit rate per pound ( 2.25 ) and then multiplied that by the other pounds to compare the two prices and I only found 5 pounds to be incorrect, but I'll keep digging, hope this helps!

7 0

3 years ago

A student packages snack mix at a health food store. She uses 1/3 of her supply of sunflower seeds to make a salted snack mix an

LUCKY_DIMON [66]

10 / (1/3); she has 30 pounds of seeds in her supply.

6 0

3 years ago

Can someone please explain?

AlladinOne [14]

<h2>Hello!</h2>

The answer is:

The correct option is the first option:

$y=-4x+64$

To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.

We must remember that the slope-interception form of the lines is:

$y=mx+b$

Where,

y, is the function

m, is the slope of the line

x, is the variable

b, is the y-axis intercept

We can find the slope using the following formula:

$m=\frac{ChangeInY}{ChangeInX}$

Which is for this case:

$m=\frac{64}{16}=4$

As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:

$m=-4$

We can find the value of "b" seeing where the line intercepts the y-axis.

As we can see it intercept the y-axis at: $y=64$

Then, now that we already know the value of "m" and "b", we can write the equation of the line:

$y=mx+b=-4x+64\\y=-4x+64$

So, the correct option is the first option:

$y=-4x+64$

Have a nice day!

4 0

3 years ago

Solve the system of equations.

Ksenya-84 [330]

Answer:

1) {y,x}={-3,-23}

2) {x,y}={7,-9/2}

Step-by-step explanation:

Required:

Solve systems of equations

1) y - x = 20, 2x - 15y = -1

Equations Simplified or Rearranged :

[1] y - x = 20

[2] -15y + 2x = -1

Graphic Representation of the Equations :

x + y = 20 2x - 15y = -1

Solve by Substitution :

// Solve equation [1] for the variable y

[1] y = x + 20

// Plug this in for variable y in equation [2]

[2] -15•(x +20) + 2x = -1

[2] - 13x = 299

// Solve equation [2] for the variable x

[2] 13x = - 299

[2] x = - 23

// By now we know this much :

y = x+20

x = -23

// Use the x value to solve for y

y = (-23)+20 = -3

Solution :

{y,x} = {-3,-23}

2) 25-x=-4y,3x-2y=30

Equations Simplified or Rearranged :

[1] -x + 4y = -25

[2] 3x - 2y = 30

Graphic Representation of the Equations :

4y - x = -25 -2y + 3x = 30

Solve by Substitution :

// Solve equation [1] for the variable x

[1] x = 4y + 25

// Plug this in for variable x in equation [2]

[2] 3•(4y+25) - 2y = 30

[2] 10y = -45

// Solve equation [2] for the variable y

[2] 10y = - 45

[2] y = - 9/2

// By now we know this much :

x = 4y+25

y = -9/2

// Use the y value to solve for x

x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

3 0

2 years ago