Jim's cat, c, weighs 7 pounds. His dog weighs six times plus 3 pounds. more than his cat. Which equation represent the dogs weight, d?

Answers

Answer 1

Answer: c =7
d is 6 times c+3
d=6c+3

d=6d+3 is equation
(if you sub, you would get 45 is weight)

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Solving a polynomial equation by factoring 36d^3-121d=0

Answers

For this case we must factor the following equation:

$36d ^ 3-121d = 0$

It is observed that both terms contain the variable "d", so we can take it out as a common factor:

$d (36d ^ 2-121) = 0$

On the other hand, we look for the factors of 36 and 121:

36: 1,2,3,4,6,9,12,18,36

121: 1, 11,121

The greatest common factor between both numbers is 1.

Thus, the expression is factored as:

$d (36d ^ 2-121) = 0$

Thus, one of the roots of the polynomial is 0.

$36d ^ 2-121 = 0\n36d ^ 2 = 121\nd ^ 2 = \frac {121} {36}\nd = \pm \sqrt {\frac {121} {36}}\nd = \pm \frac {11} {6}\n$

Answer:

$d (36d ^ 2-121) = 0\nd_ {1} = 0\nd_ {2} = \frac {11} {6}\nd_ {3} = - \frac {11} {6}$

Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.

Answers

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!

Which algebraic expression is a polynomial?4x? - 3x + 2
6x2 + χ? - 5
8x2 + x
-2x +
Ο

Answers

$\text{A polynomial must have multiple terms in its expression}\n\n\text{That means we could eliminate the last answer choice automatically}\n\n\text{There are different types of polynomials, in which you could see that}\n\text{there is a trinomial in one of the answer choices}\n\n\text{Your best answer choice would be the 2nd one:}\,\,6x^2+x+5\n\n\text{This is because there are different terms and there are multiple of them}$

Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?

Answers

We have an equation: ?/140= 15/100

Cross multiply:
100*?= 15*140
⇒ ?= 15*140/100= 21

21 students earn the Presidential Physical Fitness Award~

15% is equivalent to the fraction 3/20 so you must divide 140 by 20 then multiply by 3 to get the final answer of 21 students. Hope this helps :D

A company produces 3 tons of cereal each week. How many 12-ounce cereal boxes can be filled each week?

Answers

First, convert 3 tons to ounces.
3 tons = 96,000 ounces. Divide this by 12 ounces.
96,000/12 = 8000
So, 8000 boxes can be filled each week!
Hope this helps!!

3 ton= 96000 ounces/12 ounces= 8000 (Is the answer!)
Have a nice day!

I NEED HELP WITH THIS SCIENCE QUESTION!!!