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MArishka [77]
4 years ago
10

Simplify the square root of 3c^2d • 6cd^2

Mathematics
1 answer:
Alexandra [31]4 years ago
6 0
√(3c^2d*6cd^2)

√(18c^3d^3)

√(2*9*c^2*c*d^2*d) moving out all perfect squares....

3cd√2cd
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Factor this expression completely.
Orlov [11]

Answer:

A

Step-by-step explanation:

5 and 7 are both common factors of 35 and 40

Looking at the options you can eliminate C and D right away because 7 times 8 = 56 and not 40 like the problem is asking.

This leaves A and B. Looking at the equation the difference between the two are the + and -

Using the original equation (35x-40) as reference we see that it subtracts the two variables. Therefore leaving A as the answer

5 0
3 years ago
A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t
Annette [7]

Answer:

423 miles and that was found by subtracting 750 from 1000 and dividing that by 0.59


4 0
3 years ago
W much
Bezzdna [24]

Jerome bought C. 4\frac{7}{8} pounds of candy.

Step-by-step explanation:

Step 1:

First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same.

To convert this fraction 1\frac{1}{2} = \frac{(1)(2)+1}{2} =\frac{3}{2} .

To convert this fraction 2\frac{3}{4} = \frac{(2)(4)+3}{4} =\frac{11}{4} .

So Jerome bought \frac{3}{2} pounds of jelly beans, \frac{5}{8} pounds of gumballs and \frac{11}{4} pounds of chocolate.

Step 2:

We add all the values to determine the total candy bought.

\frac{3}{2} +\frac{5}{8} + \frac{11}{4} = \frac{(4(3)+1(5)+2(11))}{8} .

\frac{(4(3)+1(5)+2(11))}{8}  = \frac{39}{8} .

\frac{39}{8} can also be written as 4\frac{7}{8}.

So Jerome bought 4\frac{7}{8} pounds of candy which is option C.

6 0
4 years ago
How do you calculate the value of the height, base or width of a rectangle, when the given volume, is 10m^3 and the base is twic
harkovskaia [24]

The length and width of the rectangle is 2√5m and √5m respectively

<h3>Volume of a rectangle</h3>

The formula for calculating the volume of a rectangle is expressed as:

V = lw

where

l is the length

w is the width

h is the height

If base is twice its width, then l = 2w

Substitute

10 = w(2w)

10 = 2w²

5 = w²

w = √5 m

Since l = 2w

l = 2√5m

Hence the length and width of the rectangle is 2√5m and √5m respectively

Learn more on volume of rectangle here: brainly.com/question/4062480

#SPJ1

3 0
2 years ago
The cost of a taxi ride is represented by the function c(m)=2m+4, where m is the number of miles traveled. What is the cost per
deff fn [24]

Answer:

$6

Step-by-step explanation:

We have: The cost of a taxi ride is represented by the function c(m)=2m+4

Plug 1 mile into "m" of the function c(m)=2m+4

So, we have c (1) = 2 ˣ 1 + 4 = 6

Thus, The cost per mile of the cab is $6.

8 0
3 years ago
Read 2 more answers
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