MATHEMATICS MIDDLE SCHOOL

On which of the following lines does the point (7, 1) lie?A.) y = 5x + 4
B.) y = -x + 8
C.) y = x - 10
D.) y = -4x + 3

Answers

Answer 1
Answer: we have that
the point (7, 1)

case A.) y = 5x + 4
if the point (7, 1) lie to the line
so
for x=7 the value of y must be  1
y=5*7+4------> y=39
39 is not 1---------> the point does not belong to the line

case B.) y = -x + 8
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=-7+8------> y=1--------> the point belongs to the line

case C.) y = x - 10
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=7-10------> y=-3
-3 is not 1---------> the point does not belong to the line

case D.) y = -4x + 3
if the point (7, 1) lie to the line
so 
for x=7 the value of y must be  1
y=-4*7+3------> y=-25
-25 is not 1---------> the point does not belong to the line

the answer is the option
 B.) y = -x + 8

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Your skateboard ramp is 2 3/8 feet high. Your friends skateboard ramp is 2 2/5 feet high. Which skateboard ramp is higher?

Answers


2-3/8  =  2.375

2-2/5  =  2.4

2.4 - 2.375  =  0.025

Your friend's skateboard ramp is 0.025 foot higher
than your skateboard ramp is.

That's about  1.1%  higher . . . 0.3 inch, or about  7.62 millimeters.

Answer:

your friends skateboard is higher

Step-by-step explanation:

If you do the problem, and need work, do this, convert 2 3/8 to a decimal as well as 2 2/5. Which ever one is bigger as a decimal is the higher one.

Kevin is riding his bike on a 10 1/8 mile bike path. He has covered 5 3/4 miles already. How many more miles does he have to go to finish?

Answers

You do 10 1/8 minus 5 3/4 which is 35/8, or 4 3/8
so pretty much all we have to do here is subtract 10 and 1/8 minus 5 and 3/4. here's the solving 
      1             3
10 ---   -    5 ---
      8             4

the first thing we should do here is turn them into mixed fraction by multiplying the whole number and the denominator. and add the top number. so for 10 and 1/8 we multiply 8 and 10 which is 80 and add the one.
so now we have our numerator which is 81/8 the bottom number stays the same!!
so we now have our first mixed fraction!!
81
---
 8
 now 5 and 3/4 as a mixed number is 23/4 see how the bottom number stayed the same?
23
---
 4
MOVING ON!
now we just changed how these numbers look like so lets set them up again 

81       23
---   -   ---
 8         4
now before we solve this we have to make the denominators( the bottom numbers) the same! 

so we can multiply the 4 by 2 to get 8!
but always make sure to do the same to the top as you did to the bottom 
so that means we are also multiplying 23 by 2!!
so we have our new fraction!
46
---
 8
see this is simple now! lets set up our fractions again

81        46
---   -    --- 
 8          8
now we just subtract the top numbers 81 - 46 = 35!!
so our answer is 35/8

or written as a decimal 4.375 to be exact:))

hope this helped :)

The price of one share of Acme Company declined $5 per day for 4 days in a row. How much did the price of one share change in total after 4 days

Answers

one share declined $20 in 4 days

A window washer uses the proportional relationship y = kx to determine how long (y) it will take him to wash any number of windows (x). It takes the window washer 8 hours to wash 250 windows. What is the value of kA) k = 242
B) k = 258
C) k = 0.032
D) k = 31.25

Answers

C.

By plugging in the numbers into the equation, 8 = 250(k), we can determine that 8 ÷ 250 = 0.032.

Find an equation of the line with slope 15 passing through the point (10,9)​

Answers

Answer:

The answer is: y = 15x - 141

Step-by-step explanation:

Begin with the point slope form of a line:

y - y1 = m(x - x1)

Put the givens in place of the variables:

y - 9 = 15(x - 10)

Solve for y:

y - 9 = 15x - 150

y = 15x - 141

What number is 25% of 280

Answers

70 is 25% of 280. 25% is the same as 1/4 and 1/4 of 280 is 70
70 is 25% of 280 
25%=1/4
280/4=70
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