Complete the proof.....

Answer:

x=10

y=25

Step-by-step explanation:

3x-10+5x+30+6x+20=180

14x+40=180

14x=180-40

14x=140

x=10

9x-10=4y-20

9(10)-10=4y-20

90-10=4y-20

80=4y-20

80+20=4y

100=4y

25=y

Answer:

17

Step-by-step explanation:

81 - 8^2 =

8^2= 8 x 8 = 64

81-64 = 17

Answer:

−8+32

Step-by-step explanation:

...................

Answer:

160 Points in 5 Games

Step-by-step explanation:

The given information will be used as the first ratio. 288 points / 9 games. To find out how many points this player would score in 5 games, we use another ratio with the unknown value, x. This would be x points / 5 games. Put the ratios equal to each other and cross multiply. You will get a final answer of 160.

Step-by-step explanation:

0+6=6

6+6=12

12+6=18

18+6=24

24+6=30

.....

any more help just ask :)

Answer:

-9x²

Step-by-Step explanation:

-(3x)²

In PEMDAS, we solve the exponent first then multiply.

-(3x)²

-(9x²)

-9x²

Answer:

4824

Step-by-step explanation:

Given:

Blue car travels [tex]44\dfrac{1}{2}[/tex] miles on [tex]1\dfrac{1}{4}[/tex] gallons of gasoline.

Red car travels [tex]20\dfrac{4}{5}[/tex] miles on [tex]\dfrac{4}{5}[/tex] gallons of gasoline.

To find:

The unit rate for miles per gallon for each car and find which car could travel the greatest distance on one gallon of gasoline.

Solution:

We know that,

[tex]\text{Unit rate}=\dfrac{\text{Total distance covered by the car}}{\text{Number of gallons of gasoline}}[/tex]

Using this formula, the unit rate of blue car is

[tex]\text{Unit rate of blue car}=\dfrac{44\dfrac{1}{2}}{1\dfrac{1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{\dfrac{88+1}{2}}{\dfrac{4+1}{4}}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{89}{2}\times \dfrac{4}{5}[/tex]

[tex]\text{Unit rate of blue car}=\dfrac{178}{5}[/tex]

[tex]\text{Unit rate of blue car}=35.6[/tex]

Unit rate of red car is

[tex]\text{Unit rate of red car}=\dfrac{20\dfrac{4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{\dfrac{100+4}{5}}{\dfrac{4}{5}}[/tex]

[tex]\text{Unit rate of red car}=\dfrac{104}{5}\times \dfrac{5}{4}[/tex]

[tex]\text{Unit rate of red car}=26[/tex]

Therefore, the unit rate of blue car is 35.6 miles per gallon of gasoline and  unit rate of red car is 26 miles per gallon of gasoline.

Since, unit rate of blue car is greater than the red car, therefore blue car travel the greatest distance on one gallon of gasoline.

The geometric mean of two numbers is the square root of their product:

[tex]GM(a,b)=\sqrt{ab}[/tex]

So, if the product is 8, the geometric mean is [tex]\sqrt{8}=2\sqrt{2}[/tex]

Answer:

m=0

Step-by-step explanation:

Answer:

I think m=5

Step-by-step explanation:

Answer:

x = 6 units

Step-by-step explanation:

By geometric mean property:

[tex]x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units[/tex]

Answer:

She could plant 9 plants.

Step-by-step explanation:

1 1/2 hours = 90 minutes, so 12 plants per 90 minutes. Which would mean 6 plants per 45 minutes. So in between 45 and 90 minutes (1 hour), and in between 6 and 12 plants (9).

Sorry if you didn't understand, I'm bad at explaining.

Answer:

pipe will empty the tank in 10.5 hours, working alone.

Step-by-step explanation:

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5*3.5*x = 1;  hence   x = 1%2F%287.5%2A3.5%29.

Then  2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

The faster pipe will empty the tank in 10.5 hours, working alone.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Let x be the rate of work of the slower pipe (measured in the tank volume per hour).

Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.

The combined rate of the two pipes is then  x + 2.5x = 3.5x.

We are given

7.5×3.5×x = 1

7.5×3.5 x=1

Divide both sides by 7.5×3.5

x=1/ 7.5×3.5

2.5x=2.5/ 7.5×3.5

x=1/10.5

It means that the faster pipe will empty the tank in 10.5 hours, working alone.

Hence, the faster pipe will empty the tank in 10.5 hours, working alone.

To learn more on Volume click:

https://brainly.com/question/13798973

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Answer:

3y = 11x-16

Step-by-step explanation:

The general equation of a line that passes through two points can be written as;

y = mx + b

where m is slope and b is the y-intercept

Mathematically in this case;

m = (9-(-2)/(5-2) = 11/3

To write the equation, we use the one-point form

y-y1 = m(x-x1)

(x1,y1) = (2,-2)

y + 2 = 11/3(x-2)

y = 11x/3-22/3+ 2

y = 11x/3 -16/3

so;

3y = 11x - 16

Answer:

d) m=1/2

Step-by-step explanation:

have you ever heard of the equation y=mx + b

the m is your slope

in your equation above the number with x is 1/2, so that is ur slope..

Hope this helps!! Pls mark me brainliest!!

Answer:

Jack eat 3/8 pounds of the blueberries.

Step-by-step explanation:

Jane had 3/4 of a pound of blueberries.

Jack eat 1/2 of the blueberries.

How many pounds of blueberries did Jack eat?

= 1/2 of 3/4 pounds of blueberries

= 1/2 × 3/4

= (1*3) / (2*4)

= 3/8 pounds

Jack eat 3/8 pounds of the blueberries.

Answer:

A. 3

Step-by-step explanation:

since it is just reflected the length dosen't change

Answer:

A

Step-by-step explanation:

Just took the Semester exam and had this question on it, I got it right

Answer:Person on top is wrong its

Step-by-step explanation:

D =0.30

Answer:

Price at store B = $66.94

Step-by-step explanation:

Given:

Price of headphones at Store A = $89.25

Find:

Price at store B

Computation:

Price at store B = 3/4[Price of headphones at Store A]

Price at store B = 3/4[89.25

Price at store B = $66.94

Answer:

The answer is below

Step-by-step explanation:

How much sleep do high school students get on a typical school night? An interested student designed a survey to find out. To make data collection easier, the student surveyed the first 100

students to arrive at school on a particular morning. These students reported an average of 7.2 hours of sleep on the previous night.

(a) What type of sample did the student obtain?

(b) Explain why this sampling method is biased. Is 7.2 hours probably higher or lower than the true average amount of sleep last night for all students at the school? Why?

Solution:

a) A voluntary response sample is a sample made up of volunteers. It samples more people who have strong opinions and sample people who have less opinion on the survey. It is biased.

Convenience sample is a type of sampling where the group of people are conveniently selected from a population. It is biased.

Since the first 30 students to arrive at school on a particular morning was used, this is convenience sampling since only the first 30 was conveniently selected.

b) This sampling method is biased because the first 30 students are those who would have woken up earlier while those who woke up late would not be sampled.

This means that the 7.2 hours is lower than the true average amount of sleep last night for all students at the school

Answer:

You would need 35.75 or 35 3/4 yards of material

Step-by-step explanation:

You must take 9 3/4 and divide it by three so we can figure out exactly how much material is needed for just one curtain. We figure the number 3.25 or 3 1 /4. There are 11 windows total windows, and 3 1/4 per window; therefore, you must multiply the two to get your final answer which would of course be 35 and 3/4 yards of material.

I hope this helped!

Have a great day/night and good luck with your school endeavors! you're doing great!!

Answer:

x=7

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

6 - 6x = 7x - 9x - 22

combine like terms

6 - 6x = -2x - 22

   +2x       +2x

6 -4x = -22

-6          -6

-4x  =  -28

divide both sides by -4

x = 7

Hope this Helps!!!

Answer:

x=-2

Step-by-step explanation:

same on both sides

Answer:

1.5 inches

Step-by-step explanation:

1 inch = 16 miles

x = 24 miles

Cross multiply

16x = 24*1          

Divide by 16

x = 24/16

x = 3/2 = 1.5

Answer:

1248' x 2056' so I think you missed copying decimals but I would asume B

Step-by-step explanation:

312''x(1/(1/4''))=1248'

514''x(1'/(1/4''))=2056'

The dimensions in feet's are 1248' x 2048'.

We have architectural drawing scale -  1' = 1/4"

We have to convert the dimensions 312" by 514" into feet's.

double prime (″) is symbol for inches.

single prime (') is a symbol for foot(singular)/ feet's (plural)

1 foot =12 inches.

According to the question -

1' = 1/4"

1 foot = 1/4'' inches

Then, 1 inches will have = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 feet's.

Therefore -

312" = 312 x 4' = 1248 feet's

514" = 512 x 4' = 2048 feet's

Hence, the dimensions in feet's are 1248' x 2048'.

To solve more questions on dimensions unit conversion, visit the link below -

https://brainly.com/question/4613077

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Answer:

15miles//hr

Step-by-step explanation:

From the question, we are given;

Distance covered by Paola = 3/5 miles

Time = 1/25 of an hour

Speed = Distance/ time

Substitute

Speed = (3/5)/(1/25)

Speed = 3/5 * 25/1

Speed = 3 * 5

Speed = 15

Hence Paola's running speed in miles per hour is 15miles/hr

Answer:

[tex]18 + 24 = 6 * 7[/tex]

Step-by-step explanation:

Given

[tex]18 + 24[/tex]

Required

Write as a product

Start by expanding the expression with a common factor

[tex]6 * 3 + 6 * 4[/tex]

Factorize:

[tex]6 ( 3 + 4)[/tex]

Express 3 + 4 as 7

[tex]6 (7)[/tex]

Convert () to multiplication

[tex]6 * 7[/tex]

Hence:

[tex]18 + 24 = 6 * 7[/tex]