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3 years ago

Equivalent fraction for 1/4

1 answer:

7 0

There are an infinite number of them.
Here are a few:

2/8, 3/12, 6/24, 10/40, 22/88, 9/36,

31/124, 123/492, 500/2000, 198/792
________________________________________

Here's how you can make as many of them as you want:

-- Pick any number. Write it on top of a new fraction.

-- Multiply your number by 4. Write the product
on the bottom of the new fraction.

Now your new fraction is equivalent to 1/4 .

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There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-fa

mezya [45]

Answer:

Step-by-step explanation:

(6x8x7)/4 = 84

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2 years ago

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Which equations below represent lines that are perpendicular to the line that contains (1, - 2) and (3,4)^ Select all that apply

Nady [450]

Answer:

Select all the lines with slope $-\frac{1}{3}$ .

Step-by-step explanation:

Use the slopes to help you answer this kind of questions.

The slope of the line going through: (1, - 2) and (3,4) is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

We plug in the coordinates to get:

$m=\frac{4--2}{3-1}=\frac{6}{2}=3$

All lines that are perpendicular to this line has slope $-\frac{1}{3}$ .

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3 years ago

After the booster club sold 40 hotdogs at a football game, it had $90 in profit. After the next game, it had sold a total of 80

Ainat [17]

We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30

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3 years ago

Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock h, in feet, after t s

fomenos

Answer: It will take 4 seconds for the rock to hit the water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock h, in feet, after t seconds is given by the equation

$h = -16 t^2+ 52 t + 48$

To find : Time taken for the rock to hit the water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

$-16 t^2+ 52 t + 48 =0$

Divide equation by 2 , we get

$-8t^2+26t+24=0$

The Laue of x for ax²+bx+c =0 is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

So , $t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}$

$t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4$

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds for the rock to hit the water.

5 0

3 years ago

How do i find the area between the two curves

viktelen [127]

A=22/10

A=integral(a,b) [f(x)-g(x)]dx

Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.

We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx

Now we can integrate by term.

2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]

Now factor out constants.

2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]

Now integrate.

2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]

Now solve.

2*[(1/3)+2*(1/5)]

=22/10

Hope you can decipher what I wrote!

4 0

3 years ago