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soldi70 [24.7K]
3 years ago
6

Which expression equals 6 when a = 5 and b = 1/3? Circle all that apply.

Mathematics
2 answers:
Troyanec [42]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Alenkasestr [34]3 years ago
4 0
The answer would be A
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Four ninths plus nine eighteenths :]
goldenfox [79]

Answer:  17/18

In words, this is seventeen eighteenths

==========================================

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

----------------

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

8 0
3 years ago
The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, which ine
Ivenika [448]
For this case, the first thing you should do is define a variable.
 We have then:
 x: number of passengers remaining who can board the plane.
 We have as data:
 1) They can board up to 149 passengers
 2) There are 96 passengers currently aboard.
 Writing inequality we have:
 x + 96  \leq  149

 Answer:
 
An inequality that can be used to determine how many more people can board is:
 
x + 96  \leq  149
3 0
3 years ago
Read 2 more answers
There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations tha
olga55 [171]

Answer:

well

Step-by-step explanation:

44 legs and 15 animals you have to subtract

7 0
3 years ago
Rewrite 3√5^2 with a rational exponent.
Law Incorporation [45]

Answer:

C. 5 2/3

Step-by-step explanation:

3 0
3 years ago
The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi
inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.        

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

\displaystyle\frac{dr}{dt} = -7\text{ inch per second}

The volume is decreasing at a constant rate.

\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

V = \displaystyle\frac{1}{3}\pi r^2 h

Instant volume =

525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}

Differentiating with respect to t,

\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)

Putting all the values, we get,

\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0
3 years ago
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