MATHEMATICS MIDDLE SCHOOL

3. The width and length of a rectangle areconsecutive integers. If the perimeter of
the rectangle is 142 inches, find the width
and length of the rectangle.​

Answers

Answer 1
Answer:

Answer:

35 and 36

Step-by-step explanation:

If the smaller dimension is x, then the larger dimension is x + 1.  Therefore:

2x + 2(x + 1) = 142

2x + 2x + 2 = 142

4x = 140

x = 35

One dimension is 35, and the other dimension is 36.
Answer 2
Answer:

Answer:

The dimensions of the rectangle are 35 inches by 36 inches.

Step-by-step explanation:

If the length and width are consecutive integers and L=n, then W=n+1 assuming the width is larger.

We are given the perimeter is 142 inches so: 2L+2W=142.

Substituting L=n and W=n+1 we have:   2(n)+2(n+1)=142.

Let's solve it:

2(n)+2(n+1)=142

Distribute:

2n+2n+2=142

Combine like terms:

4n+2=142

Subtract 2 on both sides:

4n=140

Divide both sides by 4:

n=140/4

n=35

Since L=n, then the length is 35 inches.

Since W=n+1, then the width is 36 inches.

The dimensions of the rectangle are 35 inches by 36 inches.

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Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by 0.5° Celsius each minute, and Quinn woke up 60 minutes later when it was 10° Celsius.

Answers

Answer:

He went to bed when it was 40 celsius

Step-by-step explanation:

.5 degree per minute for 60 minutes

.5*60

30 degrees more

30+10=40 degrees

At a restaurant you order a lunch that cost $6.50 and a beverage that cost $1.50. You leave a 20% tip, how much money did you leave as the tip

Answers

$1.6, 20% of $8 ($6.5+$1.5) is $1.6

Answer:

.30

Step-by-step explanation:

6.50+1.50+20%=8.30

6.50+1.50=8

8+.3=8.30

so 6.50+1.50+.30=8.30

you left .30 cent as a tip to the waiter.

A line has a slope of 3 and contains the point (−1, −8).Which equations represent the line?

Choose ALL answers that are correct.

A.
−3x + y = −5

B.
3x + y = −5

C.
(y – 8) = 3(x − 1)

D.
(y + 8) = 3(x + 1)

Answers

Simplest way to do this?:
Slope intercept form is y = mx+b where m is the slope, and b is the y intercept. 
That means that our equation HAS to have y = 3x as the first part because it's the slope.
Now to find 'b'.
To find b there's two methods, and I'll be telling you both.
You can either plug (-1,-8) into the equation of y = 3x + b, or just add 3 to the -8 because you're basically trying to find the y intercept, which is at x = 0, which is just 1 unit away from -1,-8. And because you're increasing by intervals of 3 between each x unit, you just add 3 to the y value, and you have -5. 

If you plug it in: -8 = -3 +b you'll get the same thing. b = -5
In this case answer choices A and D  would be right.

Hope I helped :)
A.
-3x + y = -5
y = 3x -5                (the number before x is the slope.)

So, A. so far works, because it has a slope of 3.

Now, plug in the coordinate (-1,-8)

-8 = 3(-1) - 5
-8 = -3 -5
-8 = -8

This means that A. is one of the answers!!!!!!!

B.
3x + y = -5
y = -3x - 5

This doesn't work because it doesn't have the same slope.
B. is NOT one of the answers.

C.
(y-8) = 3 (x-1)
y - 8 = 3x - 3
y = 3x + 5

So far, it does work because it has a slope of 3.
It is not the same equation as A's equation, so it doesn't work

D.
(y + 8) = 3(x + 1)
y + 8 = 3x + 3
y = 3x - 5

THIS IS THE SAME EQUATION AS A'S EQUATION SO WE KNOW IT IS CORRECT!!!!!
So, D. is also correct.

Answer: Aand D.

What is the answer p+5/9=-31/18

Answers

p + 5/9 = -31/18
p = -31/18 - 5/9
p = -41/18

The answer is: p = -41/18 or p = -2.2778. 

Mrs.piant's yearly salary is $42000 and increase $2000 per year .Mr.paint's yearly salary is $37000 and increase $3000 per year .In how many years will Mr. and Mrs.paint make the same salary

Answers

Answer:

Step-by-step explanation:

          Mrs.          Mr.

1st       $44,000   $40,000

2nd    $46,000    $43,000

3rd     $48,000    $46,000

4th     $50,000    $49,000

5th     $52,000    $52,000

five (fifth) year they will both be making $52,000 each
i think its 2 to 3 years

I need help ASAP!Lainey is sliding down a water slide that is 387 feet long at a rate of 43 feet per second. How long will it take Lainey to travel from the top to the bottom of the slide?

9 seconds

344 seconds

-9 seconds

-344 seconds

Answers

set this up as a proportion. 43 ft/ 1 sec to 387 ft/ x sec. Now cross multiply to get:

43x = 387

now divide by 43 on each side to get:

x = 9 sec
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