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Answer:

[tex]x=\frac{d+c}{a-b}[/tex]

Step-by-step explanation:

The equation is:

a x - c = b x + d

so we subtract b x from both sides to group the terms that contain x on the left:

a x - b x - c = d

add c to both sides to isolate the terms in x on the left:

a x - b x = d + c

extract "x" as common factor on the left:

x (a - b) = d + c

divide both sides by the quantity (a - b) to isolate the "x":

x = (d + c) / (a - b)

or:    [tex]x=\frac{d+c}{a-b}[/tex]

Answer:

-2s + 4

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

(s + 12) + (-3s - 8)

Step 2: Simplify

Answer:

The actual length of the living room is 24 feet.

Step-by-step explanation:

Scaling

The scaling on a blueprint for an apartment is:

1 inch = 4 feet

This means every 1 inch measured on the blueprint corresponds to 4 feet on the real length of the apartment.

We know the length of the living room in the blueprint is 6 inches, thus the real dimension of the living rooms is:

6 * 4 = 24 feet

The actual length of the living room is 24 feet.

Answer:

Initial fee charged = $5

Fee charged for a mile = $1.25

No. of miles traveled = x

Total fee charged = 5 + 1.25x

Slope = 1.25

y-intercept = 5

Answer: Your answer is 365

Step-by-step explanation: Hoped this helped you. And have a wonderful day!!!

The final result of 903 - 538 is 365.

To subtract 538 from 903, you perform the following calculation:

903 - 538 = 365

To explain the process, you start with the number 903 (minuend) and subtract 538 (subtrahend) from it.

1. Begin with the units place: 3 - 8. Since 8 is greater than 3, you borrow 1 from the tens place. The units place becomes 3 + 10 (borrowed) - 8 = 5.

2. Move to the tens place: 0 (in 903) - 3 (borrowed) - 3 (from 538) = -6.

3. Lastly, the hundreds place: 9 - 5 (from 538) = 4.

To know more about final result:

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Answer:

1/3

Step-by-step explanation:

Answer:

to make it perpendicular the slope as to be -5 (opposite reciprocal of the original)

Answer:

x = 3, y = 3

Step-by-step explanation:

Elimination method to find x:

  (7x + 3y = 30) * -1      ===>                              -7x - 3y = -30

                                                                          -2x + 3y = 3                    

  add two equations to eliminate y             ______________

                                                                                 -9x = -27     ===>   x = 3

substitution to find y:  

  -2x + 3y = 3

  -2(3) + 3y = 3

  -6 + 3y = 3

  3y = 9

    y = 3

Elimination method to find y:

  (7x + 3y = 30) * 2         ===>                           14x + 6y = 60

  (-2x + 3y = 3)  * 7         ===>                         -14x + 21y = 21

  add two equations to eliminate x             ______________

                                                                              27y = 81      ===>   y = 3

Answer:

412

Step-by-step explanation:

103=4x(1/16)

103*16=4x

103*4=x

412=x

-5/3

Step-by-step explanation:

m1 = 3/5

m1 * m2 = - 1. For a pair of perpendicular line.

Usking that m2 = - 5/3

Answer:

The sales tax included in the sale of the car is 15.76%.

Step-by-step explanation:

Given that the MSRP of the car bought by Nancy Boone is $ 27,853, and the total cost of the car was $ 32,591.22, including sales tax, plus a dealer prep charge of $ 278.50 and a title fee of $ 25, to find out the percentage of sales tax ( which does not include the title fee) it is necessary to perform the following calculation:

32,591.22 - 25 = 32,566.22

27,853 + 278.5 = 100

32,566.22 = X

28,131.5 = 100

32,566.22 = X

(32,566.22 x 100) / 28,131.5 = X

3,256,622 / 28,131.5 = X

115.76 = X

115.76 - 100 = 15.76

Thus, the sales tax included in the sale of the car is 15.76%.

Answer:

Yes

Step-by-step explanation:

The relation is a function. For a relation to be a function there must be a unique x value for each y value. So this means x's can not repeat, and in this relation, the x-values never repeat. Therefore this is a function.

Answer:

Researchers are performing a study of what type of ice cream shoppers want. They're looking at the tenth person who goes to the shop, and every fifth person after that. This type of sampling is referred to as a random sampling.

Answer:

A. systematic random sampling.

Step-by-step explanation:

you're not specific enough, but i took the test and..

miles          minutes

2            ║         8

1             ║         4

1/4         ║           1

Answer:

C. middle school grades

Step-by-step explanation:

Colleges want to see if students challenged themselves by taking rigorous courses, and they also want to know what kind of grades students were able to maintain. They also like to take into account the scores you get on standardized tests because these tests can give a relatively accurate idea of a student's mastery of certain subjects. The only thing they don't pay attention to are the grades you earned in middle school. Since these grades aren't very recent, they don't serve as an accurate measure of a student's academic ability, which is why colleges prefer to look at the grades a student earns during their time in high school.

Hope this helps :)

Answer: No. Zeke found the LCM to be the product of two and eight but because eight is a multiple of two the LCM is eight so the first day he will have both clubs is the 8th day of the month

Step-by-step explanation:

all you have to do is fine the least common multiple of 2 and 8 which is eight so obviously zeke is incorrect because they said the least common multiple was 16 and it is not. zeke multiplied 2 and 8 which is not what you’re supposed to do to get the lcm.

∆HGJ is isosceles

hence, angleH = angle J

8x = 6x + 18

8x - 6x = 18

2x = 18

x = 18/2

x = 9

angleH = 8x = 8×9 = 72

angleH =72°

Answer:

15w -3

Step-by-step explanation:

13w + 22 + 2w -25

15w -3

Answer:

15w - 3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

13w + 22 + 2w - 25

Step 2: Simplify

Answer:

$290.00

Step-by-step explanation:

The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.

Answer:

The closet equivalent of the ratio of 'a' to 'c' is:

[tex]\frac{a}{c}=1.680\:[/tex]

Step-by-step explanation:

Given

i.e.

a=0.63x

i.e.

c=3/8x

Hence,

[tex]\frac{a}{c}=\frac{0.63x}{\frac{3}{8}x}[/tex]

[tex]\frac{a}{c}=1.680\:[/tex]

Thus, the closet equivalent of the ratio of 'a' to 'c' is:

[tex]\frac{a}{c}=1.680\:[/tex]

Answer:

b is right (simulation)

Step-by-step explanation:

edg

The method of data collection used is the simulation method

A number cube (also known as a die) is a device that is used in simulating probabilities

Below is how to determine the method she used.

From the question, we have the following highlights:

The highlight 3 above implies that the method of data collection used in this question is the simulation method

This is so because the winning team is determined by rolling a number cube

Read more about random sampling at:

https://brainly.com/question/14470673

Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that [tex]\sqrt{p(1-p}\leq \frac{1}{2}[/tex]

Step(ii):-

Given margin of error  = 2 % =0.02

The margin of error is determined by

          [tex]M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }[/tex]

         [tex]0.02 = \frac{\frac{1}{2} }{\sqrt{n} }[/tex]

        [tex]\sqrt{n} =\frac{1}{2 X0.02}[/tex]

        √n = 25

squaring on both sides, we get

       n = 625

Answer:

x = 100

Step-by-step explanation:

-100x - 100 = -100x

          +100=  +100

          -100x= -100x + 100

                  x=100

Answer:

x = 100

Step-by-step explanation:

Answer:

fzdgxfmhcgj,hvjb.√∆≤ç˙

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

Answer:

its b I'm pretty sure. it makes the most sense i

Answer:

A

Step-by-step explanation:

Multiply 15 by 8 to get 120. 120 + 15 × 11 = 285. 285 + 15 × 22 = 615. 615 + 20 × 7 = 755. 755 + 20 × 6 = 875. 875 + 20 × 14 = 1,155. 1,155 - 292.58 = 862.42. 862.42 - 292.58 = 569.84. Remember PEMDAS.

Answer:

Step-by-step explanation: