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k0ka [10]
3 years ago
10

Please help me define the variables and write out each equation. TY!

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

The equations are:

10x + 9y = 122

x + y       = 13

Step-by-step explanation:

Given Jose makes 10$ per hour washing cars and 9$ per hour walking dogs.

Also, it is given that he had worked for 13 hours total making 122$.

Let us assume the number of hours he spent on washing cars = 'x'.

Let us assume the number of hours he spent on walking dogs = 'y'.

Since, the total number of hours is 13, we can write:

x + y = 13           . . . eqn(1)

And since he has made 122$ in total, we will have:

10x + 9y = 122  . . .eqn(2)

'10x' represents the total money earned by washing cars and '9y' represents the total hours spent on walking dogs.

Hence, Eqn (1) and Eqn(2) is the answer.

Solving them will give: x = 5 and b = 8.

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A line passes through the point (5,-11) and has a slope of -2 Find an equation of this line.
Vsevolod [243]

Formula: y = mx + b

m being the slope

Slope given: -2, plug it in

Y = -2x + b

Now find y intercept (b)

Plug in the point (5,-11)

-11 = -2(5) + b

-11 = -10 + b, b = -1

Solution: y = -2x -1

5 0
3 years ago
Which products result in a perfect square trinomial? Select three. (-x+9)(-x-9), (xy+x)(xy+x), (2x-3)(-3+2x), (16-x^2)(x^2-16),
GrogVix [38]

Answer:

(2x-3)(-3+2x),(16-x^2)(x²-16),4y^2+25)(25+4y^2)

Step-by-step explanation:

I know that the rest of the products didn't make a perfect square cause they don´t aren´t squared,I also know that they are the odd ones out among the rest of the product so yeah,I am not too sure if I got it right...sorry if I didn´t.

3 0
3 years ago
Solve each system by the addition method.
bagirrra123 [75]

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

(2)x + (2)2y = (2)(-1)

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

6 0
3 years ago
The goalie on the Iceblades hockey team saves (blocks) 73% of the opponent's shots. With 10 minutes to go, the Iceblades are ahe
guapka [62]

1. The paired digits 00 to 99 represent 100 shots.

blocked

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

The answer is 73 to 99

2. Each group represents the 5 shots taken by the other team. To win the game, the Ice blades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

The answer to the question Is all 5.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

Group 1 is a success because none of the numbers 73 and 99 show up.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups?

Write your answer in the space below.

1,3,10

There are 3.

5. Estimate the probability the Ice blades will win the game. Give your answer as a percent.

Write your answer in the space below.

3/10=30%

4 0
2 years ago
If you help me on this god bless you, I NEED HELP !
joja [24]

Answer:

  1. given
  2. additive property of equality
  3. segment addition postulate
  4. segment addition postulate
  5. transitive property

Step-by-step explanation:

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

transitive property,  If a = b and b = c, then a = c.

Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

I hope this was good enough for you:

4 0
2 years ago
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