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3 years ago

What is the y-intercept of the line that represents y = -4x+12

Mathematics

2 answers:

xeze [42]3 years ago

6 0

Answer:

Step-by-step explanation:

The y-intercept is 12 because it is at the end without a variable. If you follow the equation y=mx+b Then it would be that 12 is b. The slope is one with the variable behind it and the y-intercept is the one without no variable.

lukranit [14]3 years ago

5 0

Answer:

Step-by-step explanation:

because 12 is where the line intercepts the y-axis

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A car travels 120 miles in 2.5 hours (with a constant speed). What is the car's

kipiarov [429]

Answer:

Step-by-step explanation:

120 divided by 2.5 = 40

5 0

2 years ago

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This cuboid is made from cm squares

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3 width height and depth

a) volume of the cube Vol = area of the base times height

area of the base = the width times the depth

Volume = Base Depth

= Width x Depth x Height

= 4 x 3 x 6

= 12 x 6

Vol = 72 cm ³

b ) the volume of the smaller cuboid has different dimensions

the smaller cube is 2 by 2 by 1 width height and depth

Volume = Base Depth

= Width x Depth x Heigh

= 2 x 2 x 1

Vol smaller cuboid = 4

How many smaller cubes can be made?

The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

Number of cuboid = Volume of the cube / Volume of the cuboid

= 72 / 4

= 18

Check this answer by dividing the dimension of the cube by the cuboid

4 by 6 by 3

2 by 2 by 1

(4/2) by (6/2) by (3/1)

2 by 3 by 3 = 2 x 3 x 3 = 18

3 0

2 years ago

Kim purchased 6 small containers of potato salad and Seth purchased 2 extra large containers of potato salad. What is the differ

icang [17]

I am assuming that the attached is the complete question and we need to get the information from the table.

From the table we know the below fact:

$1 \; small \; container \; of \; potato \; salad \; Weighs \; \frac{2}{8} \; pounds\\\\1 \; extra \; large \; container \; of \; potato \; salad \; Weighs \; \frac{9}{8} \; pounds$

$Weight \; of \; 6 \; small \; container = 6 \times \frac{2}{8} = \frac{12}{8} \; pounds\\\\Weight \; of \; 2 \; Extra \; large \; container = 2 \times \frac{9}{8} \; = \; \frac{18}{8} \; pounds$

Conclusion:

The difference in weights, in pounds of Kim’s and Seth’s purchases is given below:

$\frac{18}{8} - \frac{12}{8} = \frac{18-12}{8} = \frac{6}{8} \\\\Simplifying \; the \; fraction \; dividing \; by \; 2 \; on \; both \; numerator \; and \; denominator\\\\ \frac{6 \div 2}{8 \div 2} = \frac{3}{4}$

Final answer : 0.75 pounds

6 0

3 years ago

Read 2 more answers

What is the value of x? 64 68 (8x -12) (2x + 18)

tamaranim1 [39]

(8x - 12) + 64 + 68 = 180
(A straight line equals to 180)
8x - 12 + 132 = 180
Combine liked terms
8x + 120 = 180
-120 on both sides
8x = 40
/8 on both sides
x = 5

(8x - 12)
8(5) - 12
40 - 12
28

(2x + 18)
2(5) + 18
10 + 18
28

Answer:
x = 5

4 0

3 years ago

Solve 2(x/4+8)=18 you may use the flowchart to help you if you wish

djyliett [7]

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2(x/4 + 8) = 18

Step 2: Solve for x

Divide 2 on both sides: x/4 + 8 = 9
Subtract 8 on both sides: x/4 = 1
Multiply 4 on both sides: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 2(4/4 + 8) = 18
(Parenthesis) Divide: 2(1 + 8) = 18
(Parenthesis) Add: 2(9) = 18
Multiply: 18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 4 is the solution to the equation.

6 0

2 years ago