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Lisa [10]
2 years ago
9

-10x - 135 = 117 + 2x A. 25 B. -18 C. -21 D. 22 Helps pls

Mathematics
2 answers:
Lina20 [59]2 years ago
6 0

Answer:

C

Step-by-step explanation:

Add 10x to both sides:

-10x - 135 = 117 + 2x

-10x - 135 + 10x = 117 + 2x + 10x

-135 = 117 + 12x

Subtract 117 from both sides:

-135 - 117 = 117 + 12x - 117

-252 = 12x

Divide both sides by 12:

\frac{-252}{12} = \frac{12x}{12}

-21 = x

So the answer is C.

Hope this helps!

adelina 88 [10]2 years ago
6 0

Answer:For any circle, its circumference ratio to its diameter is equal to a constant known as pi. For the easier computation of a circle's circumference, pi's value is taken to be 3.14 (π = 3.14). Let's see a few examples below to polish the concept of the circumference.

Step-by-step explanation:

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A number cube with faces labeled from 1 to 6 will be rolled once.
tresset_1 [31]

Question:

A number cube with faces labeled from 1 to 6 will be rolled once.  The number rolled will be recorded as the outcome.

Give the sample space describing all possible outcomes.  Then give all of the outcomes for the event of rolling a number greater than 2.

If there is more than one element in the set, separate them with commas.

Answer:

S = \{1,2,3,4,5,6\}

Greater2 = \{3,4,5,6\}

Step-by-step explanation:

Given

A roll of a 6 sided number cube

Solving (a): The sample space

This implies that we list out all number on the number cube.

So:

S = \{1,2,3,4,5,6\}

Solving (b): Outcomes greater than 2

This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.

So:

Greater2 = \{3,4,5,6\}

3 0
3 years ago
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

height =8-3w =8-3(1.8)= 2.6 in

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

volume = (2w)(w)(8-3w)\\16w^2-6w^3

To get maximum volume we take derivatived

v'=32w-18w^2

set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

height =8-3w =8-3(1.8)= 2.6 in

6 0
3 years ago
A player rolls a pair of standard dice. Find the probability P(sum is at least 3)
Nezavi [6.7K]
D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30
8 0
3 years ago
Please help with the questions in the image
polet [3.4K]

Answer:

  • (a) C(d) = 270 + 0.20d
  • (b) C(1800) = 630
  • (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
  • (d) It represents the fixed cost (amount she pays even if she does not drive)
  • (e) the cost increases as the number of miles driven increases

Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)

7 0
3 years ago
Casey is six times as old as Ralph. In two years, she will be four times as old as Ralph. How old is each of them now?
lisov135 [29]

Ralph is 3 years old

Casey is 18 years old

Step-by-step explanation:

Let the age of Ralph be x

Then Casey is 6 times as old as Ralph will be 6x

In two years

Ralph =x+2

Casey=6x+2 ⇒ 4(x+2)

Equate the two equations for Casey as

6x+2 = 4x+8

6x-4x=8-2

2x=6

x=6/2= 3

Current age;

Ralph= x= 3 years old

Casey=6x = 6*3= 18 years

Learn More

Forming expressions and solving equations;brainly.com/question/1280754

Keywords :six, times, years

#LearnwithBrainly

4 0
3 years ago
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