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Answer:

a) 45 minutes

b) 100 km/hr

Step-by-step explanation:

a) It is the length of the horizontal line in the graph. It extends from 14:45 to 15:30 and that is 45 minutes.

b) Andy travels 50 km in 30 minutes (=0.5 hr), that's 50/0.5 = 100 km/hr.

As per linear equation, Andy stayed his sisters house for 45 minutes.

The average speed on his journey home is 100 km/hour.

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

As per the graph, Andy drove from his home to his sisters house.

Then he rested for a while there.

After that, he returned back to his home.

It is clear from the graph that, Andy stayed his sisters house

= (15:30 - 14:45) hours = 45 minutes

Again, from the graph, the distance between Andy and his sister's house is 50 k.m.

Andy return back to his home in

(16:00 - 15:30) hours

= 30 minutes

= 0.5 hours

Therefore, the average speed on his journey home is

[tex]= \frac{50}{0.5} km/hour\\= 100 km/hour[/tex]

Learn more about a linear equation here: https://brainly.com/question/11897796

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Answer:

I don' t understand what you need help with

Answer:

Draw a line that crosses point C so when it crosses AB it forms two 90 degree angles

Step-by-step explanation:

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

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A)

Here,

A to B = 13

A to C = 26

total = ?

now,

A to B + A to C

13 + 26 = 39

Therefore,

total number is 39

Answer:

x = 330 and y = 40

Step-by-step explanation:

Answer:

7/27 or C in other words.

Answer:

-4

Step-by-step explanation:

When talking about integers key words like below or anything being  Loss means Negative.And anything relating to an positive like   above or receive means positive which means anything  that your gaining or getting.

Answer:

-2

Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

3 nd 4

Step-by-step explanation:

hope this helps

Answer:

Please check the explanation.

Step-by-step explanation:

If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.

It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.

Given the line

3y = 2x-9

As the system of equations has an infinite number of solutions, it means the lines must be identical.

So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.

so

6y = 4x-18 will be another line.

Thus, the system of equations become:

3y = 2x-9

6y = 4x-18

The graph is attached below.

The graph indicates that both lines are overlapping with each other. Hence, the lines will be identical and the system of the equations will have an infinite number of solutions.

Answer:

X is 3 when Y is 4.

So, the required value  [tex]x[/tex] is 3.

Properly related in size, degree, or other measurable characteristics; corresponding: Punishment ought to be proportional to the crime. 3. Mathematics Having the same or a constant ratio.

The first part is  y varies directly with x then,

[tex]y \propto x\\y=kx[/tex]... (1) where k is proportional constant

Now, substituting [tex]y=12, x=9[/tex] in equation (1) we get,

[tex]12=9k\\k=\frac{4}{3}[/tex]

Substituting [tex]k=\frac{4}{3}[/tex] in equation (1) with [tex]y=4[/tex] then,

[tex]4=(\frac{4}{3})x\\ x=3[/tex]

Learn more about the topic Proportional:

https://brainly.com/question/25633806

Given:

The graph of a line.

To find:

The equation of line and values of m and b. Check whether it is proportional or linear.

Solution:

From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{0-4}{2-0}(x-0)[/tex]

[tex]y-4=\dfrac{-4}{2}(x)[/tex]

[tex]y-4=-2x[/tex]

Adding 4 on both sides, we get

[tex]y=-2x+4[/tex]

On comparing this equation with slope intercept form, i.e., [tex]y=mx+b[/tex], we get

[tex]m=-2\text{ and }b=4[/tex]

All lines are linear. If a line passes through the origin then it is proportional.

From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.

Therefore, the value of m is -2 and the value of b is 4. The equation of line is [tex]y=-2x+4[/tex].  The line linear not proportional because it does not passing through the origin.

Answer:

Solution in photo

Step-by-step explanation:

Answer

35.5 hours per week

Step-by-step explanation:

532.5/15=35.5

therefore 35 and half a hour per week

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+4)−8x=16

(6)(x)+(6)(4)+−8x=16(Distribute)

6x+24+−8x=16

(6x+−8x)+(24)=16(Combine Like Terms)

−2x+24=16

−2x+24=16

Step 2: Subtract 24 from both sides.

−2x+24−24=16−24

−2x=−8

Step 3: Divide both sides by -2.

-2x/-2=-8/-2

x=4

Answer:

X=8

Step-by-step explanation:

First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8

Answer:

x=125

Step-by-step explanation:

all angles of a triangle add up to 180 degrees.

30+25=55

180-55=125

Answer

the first one is the answer and none of the above

Step-by-step explanation:

Answer:

What are the results? What's the question?

Step-by-step explanation:

Answer: This is your answer: 3.a = 38%, b = 3%

Step-by-step explanation:

Trust me no cap

Answer:

The answer is 6.4. And i know because 4x1.6=6.4

Answer:

$15.00

Step-by-step explanation:

25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).

OR

(25/100)*$60

0.25*60=$15

Answer:

f(x)＝(x-3)*(x+5)*(x-2)*(x+2)

Answer:

[tex] \angle DEC [/tex]

Step-by-step explanation:

[tex] \red{\bold {\angle DEC}} [/tex] is supplementary to[tex] \angle DEA [/tex]

Answer:

4 + 7

(also 11)

Step-by-step explanation:

Answer:

7+4 or 11

Step-by-step explanation:

7+4 since 4-(-7) makes a mega plus.

Answer:

$1792

Step-by-step explanation:

512 x 3.50 = $1792

Answer:

$1792

Step-by-step explanation:

512 * $3.50 = $1792