Main idea: Ratios, rates, and unit rates 1. Fill in the blanks to define the terms. A ratio _______________ two quantities. A proportion is an equation stating that two _______________ are equal. A rate compares two quantities that have different _______________. 2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column. A unit rate is a ratio that compares an amount of one quantity to _______________ unit of another quantity.

Answers

Answer 1

Here you go!

1. Fill in the blanks to define the terms.

A ratio ___is a comparison between_____ two quantities. A proportion is an equation stating that two ____ratios____ are equal. A rate compares two quantities that have different ____units______.

2. Complete the statement to describe unit rates. Then identify whether each ratio is a unit rate by placing an X in the appropriate column.

A unit rate is a ratio that compares an amount of one quantity to ____one_____ unit of another quantity.

Hope this helps :D


Related Questions

suppose another line for a chair lift is placed at a constant distance c below the gondola line. what is the equation of the new line? is the new line also parallel to the hill? explain.​

Answers

Answer:

Yes They are Parallel.

Step-by-step explanation:

The required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

Given that,

Suppose another line for a chair lift is placed at a constant distance c below the gondola line. the equation of the new line and is the line parallel to the hill is to be discussed.

What is a line?

A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.

Here,
The required new line is placed at a constant distance c below the gondola line,
If the line has a constant distance from the other line that implies that the line is parallel, and the equation of the line is given as,
y = ax + c

Thus, the required equation of the line y = ax + c as of the old line and also the line is parallel to the hill.

learn more about lines here:

brainly.com/question/2696693

#SPJ5

The circle graph below shows the results of a survey. Of those surveyed, 20 said no. About how many people were surveyed?

Answers

Answer:

50 people

Step-by-step explanation:

20 / .4 = 50

if 40% = 20

then 20% = 10

therefore 60% = 20% *3

60% = 10 * 3

60% = 30 people

hope this helps

3
Use the drawing tools) to form the correct answer on the provided graph
Plot the axis of symmetry and the point where the maximum value occurs for this function
x=+x+22-8
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Answers

To find the maximum value of the function, we need to know the vertex of the parabola[tex]\large \boldsymbol {} \displaystyle ax^2+bx+c=0 \\\\ \boldsymbol{x_v=-\frac{b}{2a} } \\\\\\ \boldsymbol {y_v=ax_v+bx_v+c}[/tex]  

Where    [tex]\large \boldsymbol {x_v \ \ ; \ \ y_v}[/tex] - are the coordinates of the vertex of the parabola

[tex]\large \boldsymbol \displaystyle {} f(x)=-(x+2)^2+8 = -1\cdot x^2-4x+4 \\\\\\ \displaystyle x_v=-\frac{-4}{-2} =-2 \\\\\\y_v=-(-2+2)^2+8 =8[/tex]  

The graph in the attached file

Hòa tan hoàn toàn 11 gam hỗn hợp gồm Fe và một kim loại M có hóa trị không đổi bằng dung dịch HCl thu được 0,4 mol khí H2. Còn khi hòa tan 11 gam hỗn hợp trên bằng dung dịch HNO3 loãng, dư thì thu được 0,3 mol khí NO (sản phẩm khử duy nhất). Kim loại M là?

\

Answers

Answer:

chinese

Step-by-step explanation:

I dont know that language

7 divided by 55 but every step must be shown, thank you

Answers

Step-by-step explanation:

how many positions after the decimal point ?

7 ÷ 55 = 0.12727...

7 remainder, we ran out of digits before the decimal point

70 (when there are no more digits, we simply pull 0s)

15 remainder

150

40 remainder

400

15 remainder

150

40 remainder

400

15 remainder

... (that loop now continues forever)

solve for y
2x+3y=r

(Show solving steps please)

Answers

2x + 3y = r

---Subtract 2x from both sides

3y = r - 2x

---Divide both sides by 3

y = (1/3)(r) - (2/3)(x)

Hope this helps!! :)

4 + 4x = -5(x - 8)

Solve Multi-Step equation.
Please explain how you i can understand too!

Answers

Answer:

If solving for x its

4 + 4x = -5(x - 8) (side math --> -5x +40)

-4. = -4

4x = -5x + 36

+5x = +5x

9x = 36

÷ ÷ (by 9)

x = 4

Step-by-step explanation:

Each equation solution, brings down another answer, making this equal x=4

In a class of 46 students, there are 10 more girls than boys?

Answers

Answer:

28 girls

18 boys

Step-by-step explanation:

46-10=36

36÷2=18

18+10=28

help please help help ​

Answers

Answer:

the 3rd one i think

Step-by-step explanation:

Answer:

The second one

1/m8

Solving Two Step Equations

3(x + 4) - 5 = 2x + 4

Answers

Answer:

-3=x

Step-by-step explanation:

3(x+4)-5=2x+4

use distributive property to get:

3x+12-5=2x+4

simplify to get:

3x+7=2x+4

subtract 4 from both sides to get:

3x+3=2x

subtract 3x from both sides to  get:

3=-x

multiply both sides by -1 to get your answer:

-3=x

The answer to 3(x+4)-5=2x+4 is X=-7

Theres 152 ranch homes and 22 split level homes. How many homes altogether

Answers

Answer:

174 homes

Step-by-step explanation:

152+22

simplify to get your answer:

174

maggi buys 3/4 of a pound of blueberries and uses 5/3 of them to make a smoothie

hovv many pounds of blueberries did maggi use to make a smoothie???????????????????????

Answers

Answer:

Step-by-step explanation:

it is 5/4 of a pound because because 5/3*3/4 = 5/4

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 400 nails. The contractor bought 2 more small boxes than large boxes, which altogether had 1950 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

Answer:

The number of small and large boxes purchased are:

2 small boxes.

6 large boxes.

Step-by-step explanation:

To solve the unknowns, two equations must be established with the information provided:

150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)

Y = 3X (Large boxes are triple the small ones)

Then equation 2 is replaced in equation one and variable X is cleared:

150X + 400 (3X) = 2700

150X + 1200X = 2700

1350X = 2700

X = 2700/1350

X = 2

Finally, the value of X is replaced in equation 2 to find the number of large boxes:

Y = 3X

Y = 3 (2)

Y = 6

PLS MARK AS BRAINLIEST :)

A. Find the indicated number of geometric mean/s between the given two numbers.
1. 5 and 20 [ 1 term ]
2. 8 and 512 [2 terms]
3. 2 and 50 [ 1 term ]
4. 6 and 486 [3 terms]
5. 4 and 108 [2 terms]

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The ratio of the given terms is the common ratio raised to a power equal to the number of means plus 1.

1)

For example, the common ratio in the sequence 5, __, 20 will be r, where ...

  r^2 = 20/5 = 4   ⇒   r = 4^(1/2) = 2

Then the mean is found by multiplying 5 by this ratio: 5×2 = 10.

__

2-5)

The same method is used for finding the common ratio and then the intermediate means. Each mean is the previous term multiplied by the common ratio. Results are summarized in the attached table.

_____

Additional comment

When there are a number of similar calculations to be done, it is convenient to let a spreadsheet do them.

I hate sails math- like what is the point of it? -_-

Answers

Answer:

The only math I see having a point is basic math like addition subtraction multiplication and division, unless you are going for a job that requires ALOT of harder math.

I don’t get the point of learning all this hard math. It’s not like I’m gonna use most this stuff in the real world. I feel like most the math we’re taught is pointless

Find the Inverse function F(x)=4x-6

Answers

y = 4x - 6

x = 4y - 6; must solve for y in order to solve for inverse function

x + 6 = 4y

(x + 6)/4 = y

or

(x/4) + (6/4) = y

y = (x/4) + 3/2

help please i dont know how to do this

Answers

so i’m not 100% sure but o think the anwser is 67. Basically i just saw that 49 degrees was the same in both so i figured so would 69. Now triangles equal up to 180, so i added 49 and 69 and the end result was 113. after i subtracted 113 from 180 and got 67! however i’m not sure if this is 100% correct but hope this helps!!!

Solve for x.

2 + 6x = 20
x = [?]

Answers

Answer:

x = 3

Step-by-step explanation:

2 + 6x = 20

6x = 18

x = 3

Hopefully this helps!

Brainliest please?

Answer:

2+6x=20

2-        -2

6x/6=18/6

=3

Step-by-step explanation:

How to solve 0.5(7d+4)=7-1.5d

Answers

The answer is (d=1.)
Brainlist please :)

Simplify this
0.5 (7d + 4) = 7.1 5d

Then

3.5d + 2 = 7- 1.5d

5d + 2 = 7

5 divided by 5

D = 1


so the answer is D = 1

Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

Answers

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

can anyone help me with this, with a full explanation ?? thank you ​

Answers

Step-by-step explanation:

let the 3 consecutive odd number be

x + 1 , x + 3 , x + 5

as, there sum is 45. so, after inserting the values we got,

x + x + 1 + x + 3 = 45

3x + 9 = 45

3x = 45 - 9 = 36

x = 36/3 = 12

x = 12

therefore, 3 consecutive odd number are

x + 1 = 12 + 1 = 13

x + 3 = 12 + 3 = 15

x + 5 = 12 + 5 = 17

hope this answer helps you dear...take care and may u have a great day ahead!

Multiply. Enter your answer in scientific notation.
(1.6 x 10^*5)(6.7 x 10^*12

Answers

Answer:

1.072 x 10^18

Step-by-step explanation:

(1.6 x 10^5) x (6.7 x 10^12) = 1.072e18 = 1.072 x 10^18

Translate to an equation and solve. Let x be the unknown number.
94 is 25% of what number?

What: x
Is: =
Of: multiple

Answers

Answer:

x= 376

Step-by-step explanation:

100/25=4

94*4=376

Pick < ,< or = to make the statement true. 11 ..... 52/9

PLZ HURRRYYYYY

Answers

Answer:

>

Step-by-step explanation:

lets make 52/9 a mixed number, 5 7/9

so >

11> 5 7/9

Help me, please!!!

Lesson 3-8. Write an equation for the line perpendicular to the given line through the given point.

Answers

Answer:

y = -3x + 14

Step-by-step explanation:

Given line:

y = 1/3x - 2/5

Perpendicular lines have negative-reciprocal slopes.

We will have a line:

y = -3x + b

Use the coordinates of the given point to find the value of b:

-1 = -3(5) + b-1 = - 15 + bb = 14

So the line is:

y = -3x + 14

How do I simplify 3(x-4)-5(z+2x) ?
I have it down to 3x-(-12)-5z+2x because I multiplied the first set of parenthesis by 3 and the second set by -5. The answer is -7x-5z-12 but how do I get there?

Answers

You first step was wrong. This is the correct procedure…

3(x - 4) - 5(z + 2x)

3x - 12 - 5z - 10x

From here, combine like terms.

-7x - 5z -12

What is the best choice for the common denominator in this problem?
1/5 + 2/6

Answers

Answer:

The common denominator is x30

Step-by-step explanation:

Answer:

[tex]30[/tex]

Step-by-step explanation:

The best choice for a common denominator will always be the least common multiple of the two denominators. In this case, the least common multiple of 5 and 6 is 30, so [tex]\boxed{30}[/tex] is the best choice.

The LCM of two numbers is the lowest integer that divides them both evenly

the side lenghts of a triangle are 14,15, and x units

Answers

9514 1404 393

Answer:

  1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

When x and 14 are the shortest:

  x + 14 > 15

  x > 1

When 14 and 15 are the shortest:

  14 +15 > x

  29 > x

Then the requirement for the length of x is ...

  1 < x < 29

_____

Additional comment

The length of the third side of a triangle can be between the difference and sum of the two given sides.

what is the answer to: − 2 − 1 3 . 8 = − 8 − ( 6 + 1 )?

Answers

I’m pretty sure it’s -15 but don’t take my word for it

Lucy is saving money to buy a game. So far she has saved $12 , which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

18$

Step-by-step explanation:

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