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romanna [79]
2 years ago
15

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her erro

r and correct her mistakes.

Mathematics
1 answer:
SOVA2 [1]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = \frac{-3-4}{2-(-5)}

Her error was subtracting 5 from 2 instead of - 5 from 2

m = \frac{-7}{2+5} = \frac{-7}{7} = - 1 ← corrected solution

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Joe walked four over nine of a mile in four over five of an hour. What is his unit rate in miles per hour?
Irina-Kira [14]
<span>four over nine of a mile in four over five of an hour 

= 4                      4
-----       /           ----
  9                       5

</span>= 4                      5
-----      *           ----
  9                       4

= 20
-------
   36

= 5
-----
   9

answer is : <span>four ninths over four fifths = five over nine mile per hour (first choice)</span>
8 0
3 years ago
A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an
navik [9.2K]

Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

50x + 100\leq 600

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

50x + 100\leq 600

Add -100 on both sides of inequality

50x + 100 - 100\leq 600 - 100\\\\50x\leq 500

Divide by 50 on both sides of inequality

\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

6 0
3 years ago
Calculate the value of 3x + 4y when x = -6 and y = 5.
MArishka [77]

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find -11/15 if (n) =5n +6
Anestetic [448]
F(-11/5)=5(-11/5)+6
f(-11/5) = -11+6
<span>f(-11/5) = -5
Hope this helps!</span>
6 0
3 years ago
What is the slope of y=5x – 1?
Mamont248 [21]

Answer:

The slope is 5.

Step-by-step explanation:

The formula is y=mx+b

y=5x-1

m is the slope in the formula

8 0
2 years ago
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