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2 years ago

What is the equation of the line whose slope is 1/3 and y-intercept is -4?

Mathematics

1 answer:

faltersainse [42]2 years ago

3 0

Answer:

y=1/3x-4

Step-by-step explanation:

the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.

we are given the slope (1/3) and the y intercpet (-4).

substitute the numbers into the equation

y=1/3x-4

the answer is y=1/3x-4

hope this helps!

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In january of one winter, 3/10 of a wood pile was used in a wood stove. In February, 2/5 of the wood pile was used. What part of

arsen [322]

2/5 is equivalent to 4/10 so at the end of February 4/10 was used up
And at the end of January, 3/10 was used
so 4/10 + 3/10 = 7/10

At the end of February, 7/10 of the wood was used

6 0

3 years ago

Use a net to find the surface area of the prism.

lawyer [7]

The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²

Answer: 426m²

5 0

3 years ago

Byron can fill a drying rack with dishes in 15 minutes. While Byron fills the drying rack, Emmitt takes dishes out of the drying

Olegator [25]

Answer:

Hi!

The correct answer is d) 1 over 15 minus 1 over x equals x over 35.

Step-by-step explanation:

We know the amount of time that Byron can fill a drying rack with dishes: 15 minutes.

We know the amount of time that Byron can fill a drying rack with dishes while Emmitt is taking dishes out of the drying rack: 35 minutes.

We don't know the amount of time that Emmitt can take dishes out of the drying rack: x minutes.

So, if Byron is filling the drying rack in 15 minutes and Emmitt is taking out the dishes at x minutes, it takes 35 minutes to fill the drying rack.

$\frac{1}{15}-\frac{1}{x} = \frac{1}{35}$ // multiply by 105x both sides.

$105x\frac{1}{15}-105x\frac{1}{x} =105x \frac{1}{35}$ // simplifly

$7x - 105 = 3x$ //substract 3x and add 105 in both sides

$7x - 3x - 105 + 105 = 3x - 3x + 105$ // solve

$4x = 105$ // divide by 4 in both sides

$\frac{4x}{4} = \frac{105}{4}$ // solve

$x = 26.25$

It makes sense that Byron fills the rack faster than Emmitt empties the rack.

7 0

2 years ago

Which place value do you use to compare 437,812 and 432,729?

dusya [7]

Answer: the hundreds place

8 0

3 years ago

Megan uses cup of almonds to make 4 cups of trail mix. Using this

djverab [1.8K]

Answer:
2 1/4 cups

Step by step:
First we can set up a ratio (1:4). Then we can divide both by 4 to find how many cups of almonds per cup of trail mix. We get 0.25:1. Multiply both by 9, and there’s the answer (2.25:9).

Hope this helped <3

6 0

2 years ago