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Talja [164]
3 years ago
12

Find the value of -(2/5) - (-1/8) A) -21/40 B) -11/40 C) 11/40 D) 3/13

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

(-2/5)-(-1/8)

Need to make the denominators the same

(-16/40)-(-5/40)

Multiply -2/5 by 8

Multiply -1/8 by 8

-- sign= positive

-16/40+5/40

Answer=-11/40

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6 0
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Read 2 more answers
PLEASE HELP NOW!!
Rufina [12.5K]

1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is m=\frac{y_2-y_1}{x_2-x_1}.

Let (x_1,y_1)=(0,0) and (x_2,y_2)=(5,1)

Then m=\frac{1-0}{5-0}, \implies m=\frac{1}{5}.

Carl's speed is \frac{1}{5} miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is \frac{1}{5}\times 60=12  miles per hour

After 2 hours, Carl will travel 12\times 2=24 miles.

2. The given line has equation -4x+y=10

We write this in slope-intercept form by solving for y.

\implies y=4x+10

This is in the form y=mx+c, where m=4 is the slope.

When x=3,  y=4(3)+10

\implies y=12+10=22

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is \frac{Rise}{Run}=\frac{300}{20}=15

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: 150\times 15=2,250 dollars.

7 0
3 years ago
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