Which equation represents the line that is parallel to 5x +y = 13 and passes through the point (15,-31)? ​ Show complete working format please

Answer:

The slope of the line is -1

Step-by-step explanation:

Slope of a Line

Suppose we know a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated as follows:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table in the image, we select the points (1,4) (3,2). The slope is:

[tex]\displaystyle m=\frac{2-4}{3-1}=\frac{-2}{2}=-1[/tex]

Now select two other points like (5,0) (7,-2)

[tex]\displaystyle m=\frac{-2-0}{7-5}=\frac{-2}{2}=-1[/tex]

Following the same procedure with any other pair of points, we'll get the very same result:

The slope of the line is -1

Answer:

Maximum number of chairs is 7.

Step-by-step explanation:

We are told he has less than 120 minutes to spend painting furniture each day.

Now he has spent 30.5 minutes painting a desk.

Also, he wants to paint "x" number of chairs with each chair taking 12.5 minutes.

Thus, we have;

30.5 + 12.5x < 120

Subtract 30.5 from both sides to get;

12.5x < 120 - 30.5

12.5x < 89.5

x < 89.5/12.5

x < 7.16

Thus, maximum number of chairs he can paint is 7

Answer:

4x^2−4x−15

Split using the sum and difference of the formula, the simplify

Answer:

a) given

b) subtraction property

d) 3x+8 -8= 2-8

e) 3x= -6

f) division property

g) x=-2

Step-by-step explanation:

Answer:

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

➡️

Step-by-step explanation:

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

To learn more on inequality click:

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Answer:

46

Step-by-step explanation:

Answer:

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

Step-by-step explanation:

Step 1: Define expression

[tex]\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 2: Change denominators to like terms

[tex]\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 3: Combine like terms

[tex]\frac{5}{10} k-\frac{3}{5}[/tex]

Step 4: Simplify

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

Answer:

ABQ  = 139

BCR is the same as QBC since they are alternate interior angles

BCR = 41

Step-by-step explanation:

CBQ and SCB are same side interior angles so they add to 180

2a-9  + 5a +14 = 180

Combine like terms

7a +5 = 180

Subtract 5 from each side

7a = 175

Divide by 7

7a/7 = 175/7

a = 25

ABQ  is the same as SCB  since they are corresponding angles so

ABQ = SCB = 5a+14 = 5*25+14 = 125+14 = 139

BCR is the same as QBC since they are alternate interior angles

BCR = QBC = 2a-9 = 2*25 -9 = 50-9 = 41

Answer:

first u should make your equation: y= -1/5 (x-5) - 3

y= -1/5x +1 -3

y= -1/5 x -2

then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now

According to the points you get, you put it on the chart and connect it

if you do not understand something, tell me to draw on paper so you can understand better

Answer:

D.

Step-by-step explanation:

SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY

Answer:

c is the correct answer

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

28 mando the peace of work in 41 days

by divida 52 and 35 and multiiply with28

Answer: Aaron is wrong. The first option is better as it costs less than the second option.

Step-by-step explanation:

Arron can join a gym for $19.99 per month plus an annual fee of $12.80.

Since Aaron wants to spend 10 months at the gym, this will cost him:

= $12.80 + ($19.99 × 10)

= $12.80 + $199.9

= $212.7

Paying $21.59 for 10 months will be:

= $21.59 × 10

= $215.9

The first option is better as it costs less than the second option.

Answer:

0, -1

1, 5

(Hope it helped)

Answer:

I believe the slope is 6  

Step-by-step explanation:

6x - y = 1

- y = - 6x + 1

-1 ( - y = - 6x + 1)

y = 6x + 1

6 = slope

Answer:

yes

Step-by-step explanation:

distribute 3(6x-2) to get 18x-6-7= 18x-13

combine -6 and -7 to get 18x - 13 = 18x - 13

hope this helps :))

Answer:

so x= -3+ root three

and x = -3- root three

You have to use the quadratic formula to solve

Answer:

23

Step-by-step explanation:

The required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

As given in the question, for the ordered pairs given {(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)} domain and range of the system is to be determined.

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given the ordered pair are,
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}

Values in the place of abscissa x and ordinate y are the value of a set of domains and ranges respectively.
So domin =  {-5, -4, -2, 0, 1}
and range =  {4, -4, 1, 4, 3}

Thus, the required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.

learn more about the range here:
https://brainly.com/question/12239390

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Answer:

13 inches

Step-by-step explanation:

To solve this problem we need to figure out the length of each side. Caculate the length of the square poster by finding out the square root. 25 times 25= 625. We know that th dimentions of the poster is 25. 25-12= 13

Answer:

The answer is 0.16

Step-by-step explanation:

because if you add .16 25 times or if you see the other answers it cant be 6.25 or 1.05 you think it could be 0.82 but its not

Answer:

0.16

Step-by-step explanation:

Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the conditions.

The car must go at least 55 mph. That means that 55 is included. Use ≥

The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).

The answer uses ≥

The answer is s ≥  55

Answer:

258

Step-by-step explanation:

Answer:

258

Step-by-step explanation:

Follow the order of PEMDAS

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Answer:

B

Step-by-step explanation:

A is wrong lol, trust me.

Answer:

a. -1

Hope this helps!