1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
2 years ago
9

(1)Explain the three different ways of writing a ratio. Provide an example.

Mathematics
1 answer:
PolarNik [594]2 years ago
8 0

Answer:

1. Three ways to write Ratios are : in form of fraction, in form of decimals. Consecutively, they can also be written in form of percentage.

2. Divide the numerator by the denominator. The resulting decimal number is the unit rate.

3. A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units.

    Ex: Ben 1 glass of milk for every 2 cookies that he eats. We can use this ratio to begin a ratio table. If Ben drinks 2  glasses of milk, then he eats 4 cookies.

          Glasses of milk     Cookies

                        1                     2

                        2                    4

Notice that both of the ratios in the ratio table are equivalent

      1/2=2/4

If Ben drinks 4 glasses of milk, then he eats 8 cookies.

             Glasses of milk     Cookies

                        1                      2

                        2                     4

                        4                     8

Notice that all of the ratios in the ratio table are equivalent:

1/2=2/4=4/8

4. Write 32% as  32 /100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

32 /100  of 150 =  32 /100  × 150

Therefore, the answer is 48

If you are using a calculator, simply enter 32÷100×150 which will give you 48 as the answer.

5. A ratio is a comparison of two numbers or measurements. The numbers or measurements being compared are sometimes called the terms of the ratio. A rate is a special ratio in which the two terms are in different units.

Step-by-step explanation:

Hope that helps :)

You might be interested in
-1 3/7 • (-3 2/3) = ?<br><br> A: 3 2/7<br> B: 5 5/21<br> C: 11<br> D: -5 5/21
Anna35 [415]

[|] Answer [|]

\boxed{5 \ \frac{5}{21}}

[|] Explanation [|]

-1 \ \frac{3}{7} * -3 \frac{2}{3}

-----------

-----------

Convert Fractions To Mixed Numbers:

-1 \ \frac{3}{7} = \frac{-10}{7}

-3 \ \frac{2}{3} = \frac{-11}{3}

Multiply Across:

\frac{-10 \ * \ -11}{7 * 3}

= \frac{110}{21}

Simplify:

= 5 \ \frac{5}{21}

\boxed{[|] \ Eclipsed \ [|]}

8 0
3 years ago
A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
PLS HELP WHAT ARE THESE TWO ILL GIVE BRAINLESS AND SHOW UR WORK
Hitman42 [59]

Answer:

2) C

3) 62 degrees

Step-by-step explanation:

72+46=118

180-118

Hope this helps

3 0
3 years ago
Start time 11:00 am Elapsed time 4 hr and 5 min
vivado [14]
Well, if it starts on 11:00 am, add 4 hours = 3:00 + 5 min = end time = 3:05 am.
Hopes this helps ;)
8 0
4 years ago
Read 2 more answers
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

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

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0
3 years ago
Other questions:
  • In ΔTUV, u = 17 cm, ∠T=11° and ∠U=103°. Find the length of t, to the nearest centimeter.
    8·2 answers
  • A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
    12·1 answer
  • After conducting a financial transaction, a company's accounting staff records a $1,000 decrease in a particular asset. In order
    10·1 answer
  • Is 5 a factor of 35 56 51 40
    6·2 answers
  • HELP ASAP WILL GIVE BRAINLIST
    11·1 answer
  • The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d repres
    13·2 answers
  • The model below is shaded to represent 7 3/10
    9·2 answers
  • A. 110<br><br> B. 90<br><br> C. 135<br><br> D. 45
    15·1 answer
  • Marking brainliest
    12·1 answer
  • What is the surface area of this rectangular pyramid?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!