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3 years ago

Complete the pattern 1, 8, 27, 64

1 answer:

4 0

I will say the answer is 125

Each of them has a power of thirds
So it goes like this:
1 to the power 3 = 1
2 to the power 3 = 8
3 to the power 3 = 27
4 to the power 3 = 64
5 to the power 3 = 125

And I think this is one of the IQ test questions..haha
Hope this helped you =)

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. One car traveled 210 miles and drove 20 mph hour faster than a second car drove 150 miles. If the cars were traveling for the

inn [45]

Answer:

The first car was traveling 70 mph, while the second was driving 50 mph.

Step-by-step explanation:

Set the cars as a proportion:

$\frac{210}{x + 2} = \frac{150}{x}$

X represents the speed of the second car. By cross multiplying, you get the following equation:

$210x = 150(x + 20)$

You solve by distributing 150 to get 210x = 150x + 3000.

Solving for x gets you 50.

That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.

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3 years ago

A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur

Deffense [45]

Answer:

$\dfrac{2s^3+136}{s}$

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = $34$ ft^3$

Volume of the box = $s^2h$

Then:

$s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}$

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box $= 2(s^2+sh+sh)$

$S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}$

7 0

3 years ago

Find the area of a rectangle 4 3/4 feet long and 2 feet long

omeli [17]

Answer:

9.5 ft^2

Step-by-step explanation:

It’s just 4.75 * 2

7 0

3 years ago

Solve –vp + 40 < 95 for v.

klasskru [66]

7 0

4 years ago

Find an equation of the line passing through the given points (1,-3) and (3,3)

chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1 X2=3

Y1= - 3 Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope formula:

m = $\frac{Y2-Y1}{X2-X1}$

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

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.

y= 3x+b point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0

3 years ago