# 3x + 6y = -18 2y = 3x - 22 The solution to the system is ( ___, ___ ).

(4, -5)

Step-by-step explanation:

3x + 6y = -18

2y = 3x - 22

In the second equation, move 3x to the other side:

3x + 6y = -18

-3x + 2y = -22

Since they have opposite signs, the x terms can cancel out. Add together the equations in order to cancel out x:

3x + 6y = -18

-3x + 2y = -22

8y = -40

Solve for y:

y = -5

Then, plug in -5 in as y into one of the equations, then solve for x:

3x + 6y = -18

3x + 6(-5) = -18

3x - 30 = -18

3x = 12

x = 4

So, the solution to the system is (4, -5)

(4, -5)

Step-by-step explanation:

the next question (on slide 2) is:

C. (the third option).

then B. (second choice).

then ( 0.5, 3)

3rd slide:

C. 6

(-2, -4)

4th slide

B C

B Exactly one

(0, -3)

Edge 2021

## Related Questions

Race car driver mario won 3 races and earned 75 points for each win. During the fourth race he had deductions of 55 points 104 points and 85 points but earned 3 points for finishing. Write and find the value of an expression for how many points he has now

Mario has -16 points.

Step-by-step explanation:

Race car driver Mario won 3 races and earned 75 points for each win.

Total points won =

During the fourth race he had deductions of 55 points 104 points and 85 points but earned 3 points for finishing.

Total points Mario has now =

= -16 points

Therefore, Mario has -16 points.

(75 * 3) + 55 + 104 + 85 + 3.

75 * 3, because each race is 75 points.

And now I am confused. "deductions"?

Step-by-step explanation:

120 yards 1.

Step-by-step explanation:

In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:

Area of rectangle = length × width

12 × 15 = 180 yards²

Area of triangle = ½ × base × height

½ × 10 × 12 = 60 yards²

Now subtract the area of triangle from the area of rectangle:

180 - 60 = 120 yards ²

QuestionAlice drove from the town of Everett to the town of Gage at an average speed of 45 miles per hour. If she
Grove for 40 minutes, how far did she travel? (1 hour = 60 minutes)

45 miles per hour is equal to 45 miles per 60 minutes. Let’s make it into a ratio, 45:60, and simplify it to 3:4 by dividing each by 15. Now, we can multiply the simplified ratio by 10 to get 30:40, which translates to 30 miles in 40 minutes.

A product p and six is wrtten as

Explanation: The word "product" is a

keyword that tells us to use multiplication.

So your answer can be written as 6 · p or just 6p.

Even though it's technically correct, I would always put

the number before the variable as a matter of form.

6p

Step-by-step explanation:

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.

H0: u ≥ 9.5

Ha:  u < 9.5

Step-by-step explanation:

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis  is : H0: u ≥ 9.5  the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha:  u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is  not considered equivalent to the standard.

How many degrees does the minute hand of a clock travel in 1 minute? What angle does an hour hand travel in 1 min?

Step-by-step explanation:

The movement of the minute hand of the clock is circular. This means that a complete movement of the minute hand of the clock is the same as the angle formed at the center of the circle. The sum of the angles at a point is 360 degrees. The minute hand travels 360 degrees in a 60 minutes. It means that the degrees travelled in a minute is

360/60 = 6 degrees

The hour hand travels 360 degrees in 60 minutes. Therefore, the angle that the hour hand travels in 1 minute is

360/6 = 6 degrees

The minute hand of a clock travels 6° in 1 minute. The hour hand travels 0.5° in 1 minute.

### Explanation:

To answer this question, we first need to consider what a full rotation is. A complete circle, one full rotation, is 360°. The minute hand of a clock completes one full rotation, or 360°, every hour or 60 minutes.

In 1 minute, the minute hand would have covered 1/60 of a full rotation. To calculate this in degrees, we multiply 360° by 1/60, which gives us 6°. Therefore, the minute hand of a clock travels 6° in one minute.

The hour hand moves more slowly. It takes 12 hours to complete a full rotation or 360°. In 1 minute, the hour hand covers, 360° divided by (12 hours x 60 minutes), which gives us 0.5°. Therefore, the hour hand of a clock moves 0.5° in 1 minute.