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ioda
3 years ago
13

Bring the fraction: b/7a^2c to a denominator of 35a^3c^3

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

Answer:

5abc^2/35a^3c^3

Step-by-step explanation:

To bring the fraction: b/7a^2c to a denominator of 35a^3c^3, find the dividend when the 35a^3c^3 is divided by 7a^2c

=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

= 5ac^2

Now multiply the numerator and denominator by the result

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

Hence

b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2) = 5abc^2/35a^3c^3

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The volume of a rectangular box is 330 cubic inches. The length on one side of the top is 11 inches, and the height of the box i
Fiesta28 [93]

Answer: 110 square inches.

Step-by-step explanation:

The volume of a rectangular box would be:

V=length*width*height

In this case, we know the volume, the length and the height, and we don't know the width, so we're going to isolate it:

width=\frac{V}{length*height}

Substituting the data:

width=\frac{330}{11*3} =10in

This width is also the width of the top of the box, so the area of the top would be:

A=length*width\\A=11*10\\A=110in^{2}

5 0
4 years ago
Use compatible numbers to find two estimates: 17 ÷1569
Mekhanik [1.2K]
I dont know what you mean but i devided 17 and 1569 and it =s 0.0108349267
7 0
3 years ago
Match the term on the left with its image or description on the right. diameter A) a piece of the circumference of a circle circ
prohojiy [21]
Answers:
Diameter - B)
Circumference - F)
Radius - C) or <span>E)*</span>
Secant - E) or C)*
Concentric circles - D)
Arc - A)

* Please, note that you described option C and option E with the same exact words. One of the two is supposed to be different.

Let's see the definition of each term of the list on the left in order to find the right description:

<em>Diameter</em> = any segment connecting two points on a circle passing through its center. Therefore, the correct description is B) a segment between two points on a circle that passes through its center.

<em>Circumference</em> = length of the distance around the circle (it's a sort of perimeter of the circle). Therefore, the correct description is F) the distance around a circle

<em>Radius</em> = constant distance from the center to any point on the circle. Therefore, the correct description is C/E) a line segment connecting the center C and a point B on the circle.

<em>Secant</em> = a<span> line that intersects a circle at any two points. Therefore the correct description is </span>E/C) Circle A and a line segment connecting the points B and C which are both on the circle.

<em>Concentric circles</em> = two circles positioned such as the center of the first one coincides with the center of the second one. Therefore the correct description is D) Two circles that share the same center.

<em>Arc</em> = part of the curve along the perimeter of a circle. Therefore, the correct description is A) a piece of the circumference of a circle.
5 0
3 years ago
Read 2 more answers
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
enyata [817]

Average speed: distance traveled/elapsed time

= 75/30

= 2.5 meters per second.

Best of Luck!

5 0
3 years ago
Use the distributive property to simplify 5(w + 6) =
natulia [17]

Answer:

5w+30

5(w+6)=

5*w= 5w

5*6= 30

3 0
3 years ago
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