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2 years ago

Divide (2 3/5) divide sign 2/3 (1 4/5) (2 9/10) (1 11/15) (3 9/10

Mathematics

1 answer:

777dan777 [17]2 years ago

7 0

Answer:

i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

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The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the sm

kobusy [5.1K]

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:

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2 years ago

Read 2 more answers

Please help me with this

kaheart [24]

Answer:

Step-by-step explanation:

domain = {-7, 6, 1}

range = {-4,0}

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2 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

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2 years ago

Enter your answer below, do not use spaces

8_murik_8 [283]

Answer:

Step-by-step explanation:

1. 6(a +2b +3c)

2. (6 x 1a) + (6 x 2b) + (6 x 3c)

*Note that I put a 1 in front of the a. I did this because a means there is 1a so by putting the 1 there, it makes it easier to see that 6 x 1= 6, therefore we now have 6a.

3. Answer:

(6a) + (12b) + (18c)

* If you ever have an equation like this that has two of the same letters such as if 12b was 12a, then you could combine those since they are like terms. But since we have three different letters, this is the most simplified answer. Hope this helps!!(: If you have any questions just let me know!

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2 years ago

Story problems for division with fractions

vaieri [72.5K]

Mr. Smith has 5 2/4 lb. of dry fish food. He will put an equal amount of food into 4 containers. How much fish food will be in each container.

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2 years ago