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Maksim231197 [3]
3 years ago
8

Determine a rational number in between -2 1/4 and -2.8 justify and graph where it would be on a number line

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

Its going to be on the -5, 0 point

Step-by-step explanation:

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Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the gi
kupik [55]

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: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following line:

y = 2x-8

The slope is m_ {1} = 2

By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to the given line will have a slopem_ {2} = 2

Therefore, the equation of the parallel line will be of the form:

y = 2x + b

We substitute the given point and find "b":

3 = 2 (-1) + b\\3 = -2 + b\\3 + 2 = b\\b = 5

Finally, the equation is:

y = 2x + 5

Answer:

y = 2x + 5

5 0
4 years ago
In 1990, 75% of all high school seniors had jobs. In 2010, 40% of all seniors had jobs. If there were 50 more seniors in 2010 th
Maru [420]

Answer:

There were 333 seniors in 1990

153 seniors had jobs in 2010.

Step-by-step explanation:

Let the number of high school seniors in 1990 = x

75% of x had jobs in 1990

In 2010 there were 50 more seniors. That is, the number of seniors is x+50.

40% of (x+50) had jobs in 2010.

Total number of jobs in both years = 403.

\[0.75 * x + 0.4 * (x + 50) = 403\]

\[0.75 * x + 0.4 * x  + 20 = 403\]

=> \[1.15 * x  = 403 - 20\]

=> \[1.15 * x  = 383\]

=> \[x  = 383/1.15\]

=> \[x  = 333\]

Number of seniors having job in 2010 = 0.4 * (333 + 50) = 0.4 * 383 = 153.2 = 153(approx)

7 0
3 years ago
Mrs. Taylor is making new foot all uniforms for Friday nights homecoming game. The trim for the sleeves of one uniforms requires
scoundrel [369]

The yards of fabric needed is 45.50 yards.

<h3>How many yards of fabric is needed?</h3>

The first step is to determine the total inches of fabric that would be needed for 63 uniforms. The mathematical operation that would be used to determine this value is multiplication.

Multiplication is the process of determining the product of two or more numbers. The sign used to denote multiplication is ×.

Fabric needed for 63 uniforms = inches needed for one uniform x total number of uniforms

63 x 26 = 1,638 inches

The second step is to convert inches to yards

1 inch = 1/36 yards

1638 / 36 = 45.50 yards

Here is the complete question:

Mrs. Taylor is making new football uniforms for Fridays nights homecoming game. The trim for the sleeves of one uniform requires 26 inches of fabric. Mrs Taylor needs to make 63 uniforms total. How many yards of fabric should she buy?

To learn more about multiplication, please check: brainly.com/question/3385014

#SPJ1

3 0
2 years ago
Hi, help:/<br> Thank you
erma4kov [3.2K]

Answer:

its the first on 5,3 can you give me brainliest

Step-by-step explanation:

3 0
3 years ago
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a plumber has a very long piece of pipe is used to run the water parallel to a major place the pipe is cut into two sections 1 s
tangare [24]
Let x = the shorter piece and Let y = the longer piece. 

(3/4)x = 120 

x = 120 / (3/4) 

x = 120 * (4/3 = 480/3) = 160 feet 

y = 160 + 12
4 0
4 years ago
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