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umka2103 [35]
2 years ago
5

The number of kilometers y in a measure varies directly as the number of miles x. Write a direct variation equation that could b

e used to convert miles to kilometers, if 5 miles is about 8.045 kilometers.
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
8 0

Answer:

x= 1.069Y

Step-by-step explanation:

kilometers = y

miles = x

y>x

5x = 8.045y

therefore,

8.045 divided by 5 to get value of X

hence,

X = <u>1.069Y</u>

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An electronic company has 450 employees. The company plans to increase its staff by 30%. How many new employees will the company
Lapatulllka [165]

Answer:

135 new employees, 585 total employees

Step-by-step explanation:

Find 30% of 450.

(you can use any variables)

a = p*w

a = .30*450

a = 135

The company will hire 135 new employees, which would be (450 + 135) 585 total employees.

hope this helps :)

8 0
3 years ago
Graph the line that contains the point (-5,-3) and had a slope of -2
Ipatiy [6.2K]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

According to the data of the statement we have to:

m = -2

Then, the equation is of the form:

y = -2x + b

We substitute the point(x, y): (- 5, -3)and find "b":

-3 = -2 (-5) + b\\-3 = 10 + b\\-3-10 = b\\b = -13

Finally, the equation is:

y = -2x-13

To graph we place the points (-5, -3)and(0, -13) on the coordinate axis and join the points by a line.

ANswer:

y = -2x-13

The graphic is attached.

4 0
3 years ago
Patty can make 10 purses in 8 hours. At this rate, how many purses can she make in 28 hours? ​
djverab [1.8K]

Answer:

35 purses

Step-by-step explanation:

Set up a proportion, where x is the number of purses she can make in 28 hours:

\frac{10}{8} = \frac{x}{28}

Cross multiply and solve for x:

8x = 280

x = 35

So, in 28 hours, she can make 35 purses

8 0
4 years ago
Read 2 more answers
Please help???? Geometry
Musya8 [376]
Any line can be expresses as:

y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)

First find the slope:

m=(2-0)/(8-0)=2/8=1/4 so we have thus far:

y=0.25x+b, we solve for b using any point on the line, (8,2)

2=0.25(8)+b

2=2+b 

0=b

So the line is:

y=.25x  which they might also express as y=x/4

The answer is E. (1/4)x


6 0
3 years ago
Read 2 more answers
What is the pattern as the exponents decrease?
qwelly [4]

Answer:

divide the previous value by 5

Step-by-step explanation:

5^2=25, 5^1=5, 25/5=5

3 0
2 years ago
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