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umka21 [38]
3 years ago
8

Nina and Phillip cut Mr.Furgusons's lawn. NINA worked alone on her half, but Phillip shared his half equally with his friends, E

zra, and Benjamin. What fraction of the earnings should each get?
Mathematics
1 answer:
Alex777 [14]3 years ago
7 0
For this case, what we are going to do is divide the profits in equal parts, beginning in the following way:
 Nina and Phillip:
 Nina: 1/2
 Phillip: 1/2
 Then, we have:
 Phillip shared his half equally with his friends, Ezra, and Benjamin.
 Therefore, we must divide Phillip's earnings by three:
 (1/2) / (3) = 1/6
 Finally:
 Phillip: 1/6
 Ezra: 1/6
 Benjamin: 1/6
 Answer:
 Nina: 1/2
 Phillip: 1/6
 Ezra: 1/6
 Benjamin: 1/6
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What is the slope of the line that passes through the points (-5, -7) and (4,−1)? in the simplest form
Bad White [126]

It should be m=-5/9

3 0
3 years ago
John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th
allsm [11]

Answer:

Area = 30

Step-by-step explanation:

Given

Rectangle coordinates

A = (0,4)

B = (4,2)

C = (1,-4)

D =(-3,-2)

Required

The area of the rectangle

The area is calculated as:

Area = Length* Width

The length of the rectangle will be represented as:

Length = AB = CD

And the width is:

Width = BC = AD

Calculate distance AB using:

AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }

Where:

A = (0,4) --- (x_1,y_1)

B = (4,2) --- (x_2,y_2)

AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }

AB = \sqrt{(- 4)^2 +(2)^2 }

AB = \sqrt{16 +4 }

AB = \sqrt{20}

Calculate distance BC using:

BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }

C = (1,-4) ---(x_1,y_1)

B = (4,2) --- (x_2,y_2)

BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }

BC = \sqrt{(- 3)^2 +(-6)^2 }

BC = \sqrt{9 +36}

BC = \sqrt{45}

So, the area is:

Area = Length * Width

Area = AB * BC

Area = \sqrt{20} * \sqrt{45}

Area = \sqrt{20 * 45}

Area = \sqrt{900

Area = 30

4 0
3 years ago
A bus can carry a maximum of 60 passengers. Each row accommodates the same number of passengers. If two rows are added then each
VashaNatasha [74]

Answer:

10 rows with 6 passengers per row

Step-by-step explanation:

Let x be the number of rows and y the number of passengers per row.

Then we can interpret the story as the following two equations:

xy=60

(x+2)(y-1)=60

Solving these two equations:

y=60/x

(x+2)(60/x-1)=60     (substitute y)

60 - x + 120/x - 2 = 60 (multiply by -x)

x² + 2x - 120 = 0     (factor)

(x-10)(x+12) = 0

x = 10

y = 60/10 = 6

and indeed 10 * 6 = 60 and also 12 * 5 = 60

7 0
3 years ago
What two numbers multiply to -50 and add up to -23
umka2103 [35]

Answer:

-25 and 2

Step-by-step explanation:

x + y = -23

xy = 50, so y = 50 /x

.

x + 50/x =-23,  x^2 +23x - 50 = (x-2)(x+25)

so 2 and -25

4 0
3 years ago
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