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3 years ago

10

One-fourth of 8 minus a number

1 answer:

vova2212 [387]3 years ago

7 0

Well, one fourth is equal to .25. So when you multiply 8 by .25, you get one fourth of 8. You get 2. So the answer is 2 - x.

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A ramp to a building has a height of 4 feet and the angle of elevation is 33 defrees. How long is the ramp?

sladkih [1.3K]

Height=4 ft
angle=33 degrees
My tip first is to draw it out. Draw an acute angle opening up to a building forming a triangle. Inside of the vertex of the acute angle is the degree 33 and the height of the building is 4 ft. So, use trig! Do you have a calculator? Opposite over hypotenuse is Sine. (SOH CAH TOA). (4)/(sin(33)). which equals 7.34 ft as your height! Hope this helped!

5 0

3 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

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

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

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3 years ago

PLEASE HELP I WILL GIVE BRAINLYEST<br> Explain if you agree or disagree with Blake's claim..

o-na [289]

Ok i have thought about this and

no.

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2 years ago

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What is the value of the blue dot

Sergio [31]

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4 years ago

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The function, f(x)=70n-400, models the profit of the instructor of a guitar class per month, where n is the number of students e

zimovet [89]

profit=f(x)

so solve for f(x)=1000

1000=70n-400

add 400 to both sides

1400=70n

divide both sides by 70

20=n

20 students need to be enrolled to make a profit of 1000.00

4 0

3 years ago