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anyanavicka [17]
2 years ago
5

What is the slope of the line shown below?

Mathematics
2 answers:
alexira [117]2 years ago
7 0

Answer:

The slope is given by 4/11.

D is the correct option.

Step-by-step explanation:

From the given graph, we have two points (-7,2) and (4,6)

In coordinate form, we have

x_1=-7,y_1=2,x_2=4,y_2=6

The slope of a line is given by

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the known values, we get

m=\frac{6-2}{4+7}

On simplifying, we get

m=\frac{4}{11}

The slope is given by 4/11.

D is the correct option.

Brrunno [24]2 years ago
4 0
The slope is D) 4/11.
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This is harder so i put more points
Inessa [10]

Answer:

Sheet metal costs <u>$20</u> per square foot.

Step-by-step explanation:

7.6x - 2.3x = 106

We are finding the value of x.

5.3x = 106

Divide both sides by 5.3.

x = 106 ÷ 5.3

x = 20

3 0
1 year ago
Read 2 more answers
Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si
natali 33 [55]

Answer:

1. Tracie's bus travels towards her home at an average speed of \frac{1}{2} miles per minute.

Step-by-step explanation:

From the graph, we see that,

X-axis represents the time (in minutes) and the Y-axis represents the distance from home (in miles).

Also, the graph of the function is decreasing by 1 miles for every 2 minutes.

That is, the distance from home is decreasing as the time increases.

That is, the bus is getting closer to the home.

Further, as the distance is decreasing by 1 mile for every 2 minutes.

Thus, the rate of decrease is \frac{1}{2} miles per minute.

As we know, Speed=\frac{Distance}{Time}

<em>So, the slope represents the speed of the bus travelling towards home.</em>

That is, 'Tracie's bus travels towards her home at an average speed of \frac{1}{2} miles per minute'.

4 0
2 years ago
Read 2 more answers
1) If B is between A and C, AB=10 and AC=28, what is the value of BC?
Shalnov [3]

One

AB + BC = 28

AB = 10

10 + BC = 28

BC = 28 - 10

BC = 18

Two

AB + BC = AC

AB = 6x

BC = 8x

6x + 8x = 42

14x = 42

x = 42/14 = 3

Three

AB = 2x - 1

BC = 3x + 5

AB + BC = 24

2x - 1 + 3x + 5 = 24

5x + 4 = 24

5x = 24 - 4

5x = 20

x = 20/5

x = 4

AB = 2x - 1

AB = 2*4 - 1

AB = 7

3 0
2 years ago
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold
PilotLPTM [1.2K]
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:

x is the number of 30-second ads
y is the number of 60-second ads

x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds.  This means we must multiply 12 by 60.

y=2x is the second equation

Our system is then
x+y=720
y=2x

We will use substitution to solve this.  Plug 2x in place of y in the first equation:
x+2x = 720

Combine like terms:
3x = 720

Divide both sides by 3:
3x/3 = 720/3
x = 240

Substitute this value in for x in the second equation:
y=2(240)
y=480
8 0
2 years ago
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