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3 years ago

cooper worked 6 1/6 hours at the book fair . amanda worked 4 5/6 hours at the book fair. how much longer did cooper work?

Mathematics

2 answers:

Slav-nsk [51]3 years ago

5 0

Cooper worked 1 2/6 more hours or 1 1/3

Elena L [17]3 years ago

5 0

Cooper worked 1.3333333 longer than Amanda did.

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4 years ago

Read 2 more answers

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

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$y=\frac{x}{3}+8$ ----> equation D

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$y=\frac{x}{3}+8$ ----> equation D

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$5x-2(\frac{x}{3}+8)=10$

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$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

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$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

Find the values of x

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

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4 years ago

Which of the following is the graph of the inequality y< -2x + 3?

zaharov [31]

Answer:

look at the photo

Step-by-step explanation:

Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.

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4 years ago