Divide. Assume that no denominator equals zero.

Answers

Answer 1

Answer: So,

We simply invert and multiply.
$(8d^(3) * 24)/(6c * c^(3)d^(4))$

Re-arrange the numbers so that they are easier to understand.
$((24)(8)(d^(3)))/((6c)(c^(3))(d^4))$

Factor.
$((2^5))/((c^4)(d))\ or\ (32)/(c^(4)d)$

Cancel out 1's.

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Six grape fruit cost $5.34. How much does one grape fruit cost????

Answers

In order to figure this out, we can set up a proportion and simplify using cross multiplication.

$(units_1)/(cost _(1) ) =(units_2)/(cost _(2) ) \n \n (6)/(5.34) = (1)/(x) \n \n 6*x=5.34*1 \n \n 6x=5.34 \n \n x=0.89$

One grapefruit costs 89 cents.

You divide 5.53 by 6
And you'll get
.89cents

What is 35/21 in lowest terms?

Answers

to simplify the fraction you must first find the number that goes into both numbers, in which is 7;

So divide both the numerator and the denominator by 7;

35 ÷ 7 = 5

21 ÷ 7 = 3

So your final answer would be;

35/21 = 5/3 = 1 2/3 (in simplest form)

What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

Answers

Answer:

The surface area of the prism is $1656 m^2$ .

Step-by-step explanation:

In order to obtain the surface area we need to find the areas of all the sides. Then, we have two triangles and three rectangles.

Let us find the area of the triangles and denote it by $A_1$ . Notice that both triangles are equal. We know that the area of a triangle is

$A_t = bh/2$

where $b$ stands for the length of the base, and $h$ stands for the length of the height. From the figure we know that $b=18m$ and $h=12m$ . Hence, the area of the triangle is

$A_t = bh/2=12\cdot 18/2=108 m^2.$

To obtain the area of both sides we only need to multiply $A_t$ by two:

$A_1=2A_t=216 m^2.$

Let us find now the area of the bottom rectangle and denote by $A_2$ . The area of the rectangle is $A_r = bh$ , where $b$ stands for the length of the base, and $h$ stands for the length of the height. From the figure we know $h=18m$ and $b=30m$ . So,

$A_2=30\cdot 18 = 540m^2$ .

For the other two rectangle notice that they have the same dimensions: the length of the base is 30m and the length of the height is 15. So, the area of one of them is

$A_3=30\cdot 15 = 450m^2$ .

Finally, the surface area is the result of adding all the areas:

$A=A_1+A_2+2A_3 = 216 m^2 + 540 m^2 + 2\cdot 450 m^2 = 1656 m^2.$

Allie bought a 5 pound bag of trail mix. she gave 12 Oz of trail mix to Justin. then she put the rest of the trail mix to into small bags to use for snacks. if each bag contained 4 Oz of trail mix, how many small bags of trail mix did Allie make?

Answers

5 lbs. = 80 oz.

80 - 12 = 68 oz.

68 / 4 = 17 bags

Hope this helps!

Hey there, 5Ibs=80 oz, I got that because 16*5=80, 80-12=68. So, 68÷4=17. Thus, your final answer is 17.

Explain why it works to break apart a number by place values to multiply

Answers

Because it is much easier to identify the place values when multiplying numbers. You can immediately sight the numbers to be multipied.

An example
10
x 5
___
0
Then
5 -0= 50

(Simplify the answer if possible)

5/7-2/5=

Answers

If you would like to calculate 5/7 - 2/5, you can do this using the following steps:

5/7 - 2/5 = 25/35 - 14/35 = (25 - 14) / 35 = 11/35

The correct result would be 11/35.

the answer is 11/35
hope i helped

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