Write the equations included in the same set of related facts as 6×8=48

Answers

Answer 1

Answer: 48÷8=6, 8×6=48, 48÷6=8

Answer 2

Answer: 8x6=48
6x8=48
48 divied 6 = 8
48 divied 8 = 6

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What is 5/8 divided by 32

Answers

First you need to convert 32 into a fraction, so just add 1 as the denominator; 5/8 ÷ 32/1. But you can't divide fractions, so multiply by the reciprocal. 5/8 · 1/32. You should get 5/256 as your answer. I hope that helped!

How do you write 10x 10 x 10 x10 using exponents SHOW YOUR WORK WILE ANSWERING THIS QUESTION

Answers

The way you write 10x10x10x10 using exponents. The way you use exponents is by counting the numbers of 10 there are since there is four you have to put 10 with a little number four on the top next to the number. Just in case that way you say it is 10 to the fourth power

You would write 10 with the number 4 on top. you do this because you have 4 tens.

The equation represents the function f, and the graph represents the function g. f(x)=6x-5A.

The rate of change of f is twice the rate of change of g.

B.

The rate of change of g is twice the rate of change of f.

C.

The rate of change of f is 3 times the rate of change of g.

D.

The rate of change of f is the same as the rate of change of g.

Answers

Answer:

A. The rate of change of f is twice the rate of change of g.

Step-by-step explanation:

The first function is $f(x)=6x-5$

The slope of this function is the coefficient of x. It is the same as the rate of change of f(x)

$m=6$

From the graph, g(x) passes through(-2,-4) and (0,2)

We use the slope formula: $(y_2-y_1)/(x_2-x_1)$ to find the slope of g(x).

$m=(2--4)/(0--2)=(6)/(2) =3$

Since 6=2(3), we conclude that, the rate of change of f is twice the rate of change of g.

Answer:

Step-by-step explanation:

A pet store had 149 goldfish and 914 angelfish. Within a week, the difference between the amount of each fish had 3 tripled. Write an expression that shows the current difference between the number of each type of fish.

Answers

2891, add 149 + 924 x 3 = 2981

please please please please help what is the area of trapezoid ABCD enter your answer as a decimal or whole number do not round at any steps help

Answers

Answer:

A = 62.5

Step-by-step explanation:

I would break this up into two easier cases. the square at the top where three vertices are A,B, and C. and then the triangle for the rest of the area. we can use the distance formula to find the side length of the square.

sqrt((y2-y1)^2 + (x2-x1)^2)

sqrt((5-2)^2 + (-1-3)^2)

sqrt(3^2 + (-4)^2)

sqrt(9 + 16)

sqrt ( 25)

so the area of the square is 5^2 =25

now for the triangle. the formula for the area of a triangle is (1/2)bh.

so we can plug in our b=5, but we need to find h.

we use the distance formula between point A and D to find the distance to be 20, but we have to subtract the 5 we already counted in the area of the square. so the height is 15.

so The triangle has area (1/2)×5×15

37.5.

add the two areas together and we get our answer

25+37.5 = 62.5

Three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B, and Prisms B and C have equal volume. What is the volume of each prism?

Answers

Answer: The volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.

Step-by-step explanation: Given that three rectangular prisms have a combined volume of 518 cubic feet. Prism A has one-third the volume of Prism B and Prisms B and C have equal volume.

We are to find the volume of each of the three prisms.

Let, a, b and c represent the volumes of Prism A, Prism B and Prism C respectively.

The, according to the given information, we have

$a+b+c=518~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\na=(1)/(3)b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\n\nb=c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the values of a and c from equations (ii) and (iii) in equation (i), we get

$a+b+c=518\n\n\n\Rightarrow (1)/(3)b+b+b=518\n\n\n\Rightarrow (1)/(3)b+2b=518\n\n\n\Rightarrow (b+6b)/(3)=518\n\n\n\Rightarrow 7b=1554\n\n\n\Rightarrow b=(1554)/(7)\n\n\n\Rightarrow b=222.$

From equation (iii), we get

$b=c=222,$

and from equation (ii), we get

$a=(1)/(3)*222\n\n\n\Rightarrow a=74.$

Thus, the volume of Prism A is 74 cubic feet, volume of Prism B is 222 cubic feet and the volume of Prism C is 222 cubic feet.

The volume of Prism A is 74 cubic feet.
The volume of Prism B is 222 cubic feet.
The volume of Prism C is 222 cubic feet.

Further explanation

Given:

Three rectangular prisms have a combined volume of 518 cubic feet.

Prism A has one-third the volume of Prism B, and
Prisms B and C have equal volume.

Question:

What is the volume of each prism?

The Process:

Prism A has $(1)/(3)$ the volume of Prism B. From the denominator 3, let us draw a diagram representing the volume of Prisms B and C, then Prism A. Remember, both prisms have the same volume.

$Prism B: \boxed{\circ}\boxed{\circ}\boxed{\circ}$

$Prism C: \boxed{\circ}\boxed{\circ}\boxed{\circ}$

$Prism A: \boxed{\circ}$ or 1 of 3 units.

From all the diagrams above, it appears that the total units are 3 + 3 + 1 = 7 units.

Three rectangular prisms have a combined volume of 518 cubic feet. Therefore, we can calculate the volume of one unit diagram.

$\boxed{ \ 7 \ unit = 518 \ cubic \ feet \ }$

$\boxed{ \ 1 \ unit = ? \ cubic \ feet \ }$

Then $\boxed{ \ 1 \ unit = (518)/(7) \ cubic \ feet \ }$

Hence, $\boxed{\boxed{ \ 1 \ unit = 74 \ cubic \ feet \ }}$

And now, let us calculate the volume of each prism.

The volume of Prism A: $1 \ unit = \boxed{ \ 74 \ cubic \ feet \ }$

The volume of Prism B: $3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }$

The volume of Prism C: $3 \ unit = 3 * 74 = \boxed{ \ 222 \ cubic \ feet \ }$

Learn more

Volume of rectangular prism brainly.com/question/11613210
What is the side length of each cube? brainly.com/question/6752459
Find out the area of a cube brainly.com/question/12613605#

Keywords: three rectangular prisms, have, a combined volume, 518 cubic feet, Prism A, has one-third, the volume, Prism B, C, equal, what, each prism, units, diagram

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