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emmainna [20.7K]
3 years ago
5

There are 13 salespeople at a car dealership. last year, they each sold the same number of cars. Together, they sold 1,157 cars.

How many cars did they each sell? Please show your work.
Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

Each salesperson sold 89 cars last year.

Step-by-step explanation:

13x = 1157   Set up an equation with an x-varible in place of the number of cars to be found

13x/13 = 1157/13   Divide 1157 by 13

x = 89

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The sides of a rectangle are x cm and 4 cm. Its<br>perimeter is 46 cm. Determine the value of x.​
Vedmedyk [2.9K]

Answer:

x = 19 cm

Step-by-step explanation:

perimeter = 46 = 2(x + 4)

2x + 8 = 46

2x = 38

x = 19

4 0
3 years ago
Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Ratling [72]

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

3 0
3 years ago
What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th
katrin2010 [14]

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

5 0
3 years ago
A polyhedron with two parallel congruent faces called bases connected by parallelogram faces is called a...
lisov135 [29]

Answer:

right prism

Step-by-step explanation:

If the faces are rectangles, then this prism is called a "right prism"

4 0
3 years ago
Question 11 (True/False Worth 1 points)
konstantin123 [22]
True. These answers show a relationship because you add eight every time the pack goes higher.
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3 years ago
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