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DanielleElmas [232]
2 years ago
6

Line AB contains points A(4, 5) and B(9,7). What is the slope of AB?

Mathematics
1 answer:
alexdok [17]2 years ago
4 0

Answer:

2/5

Step-by-step explanation:

Since we have two points on the line, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 7-5)/(9 - 4)

   = 2/5

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The difference of two numbers is 44 1 /2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/
pshichka [43]
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5

Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.

So this means y-7x=143/14.

We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:

y-x=44.5
y-7x=143/14

Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7

Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
8 0
3 years ago
Write the mixed number as a decimal. 1 5/8
likoan [24]

Answer:

1.625

Step-by-step explanation:

The decimal of 5/8 is 0.625.

We can then add 1 to it, since it is a whole number

Therefore, we have 1 + 0.625 = 1.625

6 0
3 years ago
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Find the constant of proportionality if y is directly related to x when y = 12 and x = 6
Sergeeva-Olga [200]

Answer:

2

Step-by-step explanation:

Please see attached picture for full solution.

3 0
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There are 16 colored pencils and 8 colored pencils will fit in a box. How many boxes will the 16 pencils fill?
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Given:

Total number of colored pencils = 16

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To find:

The number of boxed that will fit the 16 pencils.

Solution:

According to the question 8 colored pencils will fit in a box. So, we have

8 pencils = 1 box

Multiply both sides by 2.

2×8 pencils = 2×1 box

16 pencils = 2 box

Therefore, 2 boxes are required to fit the 16 colored pencils.

4 0
2 years ago
Which expression is equivalent to 3x + 6y
Sedbober [7]

option a as 3 is outside of bracket it will be multiplied by what is in bracket sot the answer will equivalent to question

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