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padilas [110]
3 years ago
11

Please help !! I would really appreciate it

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

Runner 1

Step-by-step explanation:

Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10

Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)

Runner 3's speed is slope = (36-18)/(4-2) = 9

The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5

You might be interested in
If you have 80 employees and you grew 116%, what was the amount of original employees?
Nezavi [6.7K]

Answer: 69

Step-by-step explanation:

Let the original employee be x , this means that

116% of x = 80

\frac{116x}{100} = 80

116x = 8000

divide through by 116

x = 8000/116

x = 68.96551724

Since we are dealing with employees , therefore x ≈ 69

This means that there were 69 employees originally

7 0
3 years ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th
irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: FV=P(1+r)^n

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: r=\frac{0.09}{2}=0.045

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

FV=1540(1+0.045)^{12}

FV=1540(1.045)^{12}

FV=1540(1.69588)

FV=2611.6552

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0
3 years ago
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Tamiku [17]

Answer:

x = 12 degrees

Step-by-step explanation:

m < LNM = (70+136)/2

= 206 / 2

= 103 degrees

So 7x + 19 = 103

7x = 103 - 19 = 84

x = 84/7

x = 12.

8 0
3 years ago
Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the c
Archy [21]

Answer:

8 pictures

Step-by-step explanation:

Given

Window = 5\frac{3}{4}ft

Wall = 9.75ft

Pictures = 6\ inches

Required

Determine the number of pictures

First, we need to calculate the length of the available space

This is calculated by subtracting the width of the window from the width of the wall.

Space = Wall - Window

Space = 9.75 - 5\frac{3}{4}

Convert fraction to decimal

Space = 9.75 - 5.75

Space = 4ft

Since, the pictures are placed side by side.

This means that, there's no empty space between them.

Number of pictures is:

Number = \frac{Space}{Pictures}

Number = \frac{4\ ft}{6\ in}

Convert feet to inches

Number = \frac{4 * 12\ in}{6\ in}

Number = \frac{48\ in}{6\ in}

Number = \frac{48}{6}

Number = 8

<em>Hence, 8 pictures can fit the wall</em>

7 0
2 years ago
Read 2 more answers
20/45 in simplest form
san4es73 [151]
20/45 would be 4/9 in simplest form. hope that helped
7 0
3 years ago
Read 2 more answers
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