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dybincka [34]
2 years ago
12

Write an equation that will model the proportional relationships shown in the graph below graph.

Mathematics
1 answer:
wolverine [178]2 years ago
7 0

Answer:

y = 5x

Step-by-step explanation:

you can use the Slope-Intercept form of a line, which is:

y = mx + b  where 'm' is the slope, and 'b' is the y-intercept

to find the slope, select any two points:

we can use (0,0) and (2,10)

now subtract the y-values and the x-values to get this fraction:

slope = 10-0 / 2-0

slope = 10/2 or 5/1

the y-intercept can be seen and is 0

therefore, equation of this line is:

y = 5x + 0 or

y = 5x

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Genrish500 [490]

4) Let the number be : N

Given : 10% of this number is 25

\sf{\implies 10\% \ of \ N = 25}

\sf{\implies \dfrac{10}{100} \times N = 25}

\sf{\implies \dfrac{N}{10} = 25}

\sf{\implies N = 250}

Now we need to find 60% of 250

\sf{\implies \dfrac{60}{100} \times 250}

\sf{\implies 6 \times 25}

\sf{\implies 150}

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

\sf{\implies \dfrac{75}{100} \times 80}

\sf{\implies 15 \times 4}

\sf{\implies 60}

Now let us find 40% of 30

\sf{\implies \dfrac{40}{100} \times 30}

\sf{\implies 12}

Now, (60 - 12) = 48

<u>Answer:</u> 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

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6 0
3 years ago
What is the answer to 4 ⋅ (−6)
olganol [36]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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Anna007 [38]

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

6 0
3 years ago
Read 2 more answers
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notka56 [123]

Answer:

1)   x=\dfrac12

2)   n = -3 \ \ \textsf{and} \ \ m = -4

3)  see below

4)  A:  0 = 1

Step-by-step explanation:

<u>Question 1</u>

15-0.5(4x-2)+4x=17

\implies 15-2x+1+4x=17

\implies 2x+16=17

\implies 2x=1

\implies x=\dfrac12

<u>Question 2</u>

\textsf{rearrange} \ n=m+1 :

\implies -m=-n+1

\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\

\implies0=n+3

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\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:

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<u>Question 3</u>

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

<u>Question 4</u>

3j=k

k=3j+1

\textsf{rearrange} \ 3j=k :

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\textsf{add equations}\  -k=-3j \ \ \textsf{and}\ \ k=3j+1:

\implies 0=1

Solution = A

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Step-by-step explanation:

The more left you go on a number line the smaller it is

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2 years ago
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