MATHEMATICS MIDDLE SCHOOL

Can I get some help on this question please, and a a explanation on how you got the answer too.

Answers

Answer 1

Answer:

Answer: choice A) 3 & 1/4 quarts

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Work Shown:

There are 2 x's over the "1/4", so 2*1/4 = 2/4 of a quart is drank in total by this group. Let P = 2/4

There are 5 x's over the "3/4", so 5*3/4 = 15/4 quarts is drank in total by this group. Let Q = 15/4

Subtract P and Q

Q - P = 15/4 - 2/4 = (15-2)/4 = 13/4

Convert the result to a mixed number

13/4 = (12+1)/4

13/4 = 12/4 + 1/4

13/4 = 3 + 1/4

13/4 = 3 & 1/4

Answer 2

Answer:

Answer:

3 quarts

Step-by-step explanation:

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the measures of the three angles of a triangle are given by 3x + 1 2x - 3 + 9x what is the measure of the smallest angle

Answers

Answer:

12x-3 would be

Step-by-step explanation:

$\sqrt{125 + √(36 + 64) }$

Answers

Answer:

$\sqrt{125 + √(36 + 64) } \n \n \sqrt{125 + √(100) } \n \n √(125 + 10) \n √(135) \n √(9 * 15) \n 3 √(15)$

to download movies off the internet, you must pay 1.99 per movie,plus one time fee of 5.50 write an expression to show the total cost to download x movies

Answers

1,99 per movie would be represented like 1.99x
and then plus 5.5 so the expression would be 1.99x+5.5

1.99x+5.5= total cost

without dividing, explain whether 5 1/6 divided by 3 5/8 is greater than or less than 5 1/6 divided by 2 2/5. please help quickly. its due tomorrow.

Answers

Answer=5 1/6 divided by 3 5/8 is less than 5 1/6 divided by 2 2/5

5 1/6 divided by 3 5/8 is less than 5 1/6 divided by 2 2/5

Explanation... if you estimate the equation, (5 1/6) / (3 5/8) can be rounded to 5/4 and (5 1/6) / (2 2/5) can be rounded to 5/2

5/4 is less than 5/2

**PLEASE HELP ME ASAP**1. Akira earns $8 each day she cares for her neighbor's dog. Write an equation to represent the relationship between the amount of money Akira earns, m, and the number of days, d, that she cares for the dog. How much will Akira earn if she cares for the dog for 5 days?
2. Hugo rides his bike at an average rate of 15 mph. Write an equation to represent the relationship between the distance, d, that Hugo rides and the number of hours, h, that he rides. How far will Hugo ride if he rides his bike for 3 hours?
3. Every time Luke puts a dime into the parking meter, he gets 10 minutes of parking time. The equation p = 10d represents the time, p, he can park after he puts d dimes into the meter. Analyze the variables. If he puts 5 dimes into the meter, can Luke park for more than or for less than 1 hour?

Answers

1) m=8d $40
2) d=15h 45 mi
3) less than one hour

A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. Describe the change in the dimensions of the rectangle.-What is the scale factor used in the dilation?

-If the demsions of the original rectangle are 5 inches by 8 inches, what will be the dimensions of the new rectangle? Show your work.

Answers

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y* a)* (y* b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 * 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 * 3) * (8 * 3) = 15 * 24 = 360$

So basically 15 by 24 is the new dimensions :)

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