Determine if the following ratios form proportions.

1.) 1 to 3 and 7 to 21

2.) 3 to 4 and 24 to 18

3.)1:5 and 6:30

for brainiest:)

Answers

Answer 1

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

We have three questions with 2 ratios and are asked if they are proportional or not.

To define proportionality, basically its if the two ratios equal the same value when put in a certain way.

And that way is :

[tex]\frac{x}{y} =\frac{x}{y}[/tex]

You will substitute the numbers with the letters, in which you will cross multiply :

[tex]\frac{x * y}{x*y}[/tex]

So subtitute :

1.

[tex]\frac{1}{3} *\frac{7}{21}[/tex]

[tex]\frac{1*21}{7*3}[/tex]

[tex]21=21[/tex]

Therefore 1. is proportional.

2.

[tex]\frac{3}{4} *\frac{24}{18}[/tex]

[tex]\frac{4*24}{3*18}[/tex]

[tex]\frac{96}{54}[/tex]

96 = 54

Therefore 2. is not proportional.

3.

[tex]\frac{1}{5} *\frac{6}{30}[/tex]

[tex]\frac{1*30}{5*6}[/tex]

[tex]\frac{30}{30}[/tex]

30 = 30

Therefore 3. is proportional.


Related Questions


Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?

Answers

Answer:

35 2-point questions, and 15 5-point questions

Assume x 2-points question, so 50-x 5-points question

Total no of points: 2*x+5*(50-x)=145 points

2x+250-5x=145

-3x=-105

x=-105/-3=35 2-points questions

Remaining 50-35=15 5-points questions

ok so i really hope this helped and if it didn't then sorry

There are 30 two-point questions and 20 five-point questions.

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to questions, Brandon took a 50-question exam worth a total of 160 points.

There were x two-point questions and y five-point questions.

So,[tex]y=50-x[/tex]

Now, according to question, we will get the following equations

[tex]2x+5(50-x)=160[/tex]

⇒[tex]2x+250-5x=160[/tex]

⇒[tex]-3x=-90[/tex]

⇒[tex]x=30[/tex]

[tex]y=50-30\\[/tex]

⇒[tex]y=20[/tex]

Hence, we can conclude that there are are [tex]30[/tex] two-point questions and [tex]20[/tex] five-point questions.

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A commercial fisherman is (less likely, equally likely, more likely) to need health insurance than a supermarket employee.

A person who smokes is (less likely, equally likely, more likely) to need health insurance than a nonsmoker.

An 18-year-old male college student is (less likely, equally likely, more likely) to need health insurance than a 72-year-old retired female.

Answers

Answer:

A commercial fisherman is  

EQUALLY LIKLEY

to need health insurance than a supermarket employee.

A person who smokes is  

MORE LIKLEY

to need health insurance than a nonsmoker.

An 18-year-old male college student is  

LESS LIKLEY

to need health insurance than a 72-year-old retired female.

An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We have been given probabilites related to different circumstances and need to health insurance.

Therefore, we have the following terms;

A commercial fisherman is "equally likely" to need health insurance than a supermarket employee.

A person who smokes is "more likely "to need health insurance than a nonsmoker.

An 18-year-old male college student is "less likely" to need health insurance than a 72-year-old retired female.

Learn more about probability here;

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Matrix A has 2 rows and 3 columns whereas matrix B has3 rows and 2 column
Can AB be multiplied? Can BA be multiplied? Give the reason​

Answers

Step-by-step explanation:

for any matrix multiplication number of columns of first matrix should be equal to number of rows of second matrix.

For AB

A has 3 columns and B has 3 rows so it matches . Hence can be multiplied.

For BA

B has 2 columns and A has 2 rows it also matches so can be multiplied

How many of these figures have at least one vertex?

Answers

Answer:

2

Step-by-step explanation:

Vertex means point where three edges meet . Two middle figures have vertices

ANSWER THIS PLZZZZZZ!!!!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

you were right, the answer is

D) the time spend reading book and the number of pages remaining to be read in the book.

Can someone please help me?

Answers

_Answer:

y=4x+3

Step-by-step explanation:

PLS HELP!! ASAP!!! PLEASE I BEGGGG
ARE THEY PROPORTIONAL AND WHY ASLO WHERE DO U PUT THE POINTS ?!!?!?!?!?

Answers

They are not proportional
X Y
0. 5
1. 10
2. 20



X. Y
0. 0
10. 5
20. 10

File Is Attached To The Question

Answers

Answer:

3.05x(output for x)39.65

Step-by-step explanation:

to understand thisyou need to know about:functionPEMDASlet's solve:

according to the question

the function is

f(x)=3.05x(first answer)

let's justify

f(1)=3.05×1

=3.05

LIKEWISE

f(3)=3.05×3

=9.15

therefore

it is the function

answer for the second question

f(13)=3.05×13

=39.65

if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake

Answers

Answer:

1680

Step-by-step explanation:

280 x 6 = 1680

An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r

Answers

Step-by-step explanation:

From the original question, we can rewrite this as:

An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?

f(r) = 4000r

e(r) = 1800r

d(r) = ? (profit or loss)

Assuming we had added a row of first class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, OPTION A.) d(r) = 2200r

The value of d(r) will be 2200r. The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Assuming we had added a row of first-class seats,

+ f(r) = 4000r

But we had to remove a pair or rows from the economy seats,

- e(r) = 1800r

Translating these into one equation:

d(r) = f(r) - e(r) = 4000r - 1800r = 2200r

Therefore, the value of d(r) will be 2200r. The correct option is A.

To know more about an expression follow

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Help!!!!!

Not all will de used.

Match the expression with their simplified forms.

Answers

Answer:

1/2 go to 80

2 check 5 will go to 2 check 8

4 will go to 5/20

5 check 3 will go to 20

Step-by-step explanation:

What’s the answer to this pls?

Answers

Answer:

(0, 1 x 5)

A. (0, 5) I think

Step-by-step explanation:

9 1/4 - 4 5/6 subtraction

Answers

Answer:

4 5/12

Step-by-step explanation:

Rewriting our equation with parts separated

Solving the whole number parts

Solving the fraction parts

Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.

LCD = 12

Combining the whole and fraction parts

Answer:

Improper fractions-53/12

Mixed fractions-4 5/12

Step-by-step explanation:

5x-2y=4
6x+2y=18 PLS HELP FAST

Answers

5x - 2y = 4 .......................... (1)
6x + 2y = 18 ....................... (2)

(2) + (1):
5x - 2y = 4 .................... (1)
+) 6x + 2y = 18 .................. (2)
———————————————
11x + 0y = 22

11x = 22

x = 22/11

x = 2


Sub x = 2 into (1):
5(2) - 2y = 4

10 - 2y = 4

-2y = 4 - 10

-2y = -6

y = -6/-2

y = 3

parallelogram RCEP∼parallelogram DGSW Drag the answers into the boxes to match each part of parallelogram RCEP with the corresponding part of parallelogram DGSW .

Answers

Answer:

E--S

EP--SW

R--D

CE--GS

Step-by-step explanation:

you just match them, out of the 4 letters,  ce were in the middle of the two for parrallelogram RCEP, so we se the two middle letters DGSW, which is GS.

now apply this mechanism to all of the letters side by side.

hope this helps!

In trapezoid TRAP, the parallel bases are TP and RA
Is UV the midline of trapezoid TRAP? Why or why not?

Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.

Answers

9514 1404 393

Answer:

  UV is not the midline. (The midline length is 4.5.)

Step-by-step explanation:

The trapezoid midline is the average of the lengths of the bases. Here, the midline length would be ...

  (7 ft +2 ft)/2 = (9 ft)/2 = 4.5 ft

The line length shown is 3.5 ft, so the segment shown is not the midline.


HELP ME ASAP PLEASE!!!

Answers

Answer:

51

Step-by-step explanation:

5x+6=9x-30

5x=9x-36

4x=36

x= 9

5×9+6=51

0.5 is 2.5% of what number?

Answers

Answer:

The number is : 20

Step-by-step explanation:

Thanks alot

Answer:

the number is = 20

Step-by-step explanation:

good bye

6 5/8 −3 2/9 ≈


HELP ME PLEASE

Answers

Answer:

3 29/81

Step-by-step explanation:

6 5/8-3 2/9

6 45/81-3 16/81

3 29/81

Answer:

3 29/72

Step-by-step explanation:

6 5/8 − 3 2/9 = 3 29/72

Hope this helps!

(If right, pls put brainlist)

Combine the following expressions. 2√k + √k - 3√k

Answers

Answer:

The answer is zero

Step-by-step explanation:

[tex]2 \sqrt{k} + \sqrt{k} - 3 \sqrt{k} = 3 \sqrt{k} - 3 \sqrt{k} = 0[/tex]

What is the slope? ???????

Answers

Answer:

1/2

Step-by-step explanation:

Slope=rise/run. Slope=1/2

write an equation that is in slope-intercept form for the line that passes through the pair of points: (4, -2) and (8, -6)

Answers

Answer:

Step-by-step explanation:

4-8    -2- -6

4^2  8^2

16+64

80

8.9

What is the answer??? This is for geometry by the way.

Answers

Answer:

3

Step-by-step explanation:

Centroid theorem states that AX/AE = 2/3

Substitute in and XE = 3

simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)

Answers

Answer: 14a^5+14a^4-10a^3-16a

Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.

-hope this helps

need help on question 14 here, if multiple people respond i will give the first responder brainiest

Answers

Answer:

x = 3

y = 2

Step-by-step explanation:

5x - 3 = 6y

5x + 3 = 9y

y = 5/6 x - 1/2

5x + 3 = 15/2 x - 9/2

-5/2 x + 15/2 = 0

-5/2 (x - 3) = 0

x = 3

Answer:

x = 3

y = 2

Step-by-step explanation:

because it's a rectangle, opposite sides are equal

AD = BC

AB = DC

so we can use their measures to create a system of equations:

5x + 3 = 9y

5x - 3 = 6y

if we multiply the first equation by -1 we can eliminate the x-values:

-(5x + 3 = 9y)

 -5x - 3 = -9y

+ 5x - 3 = 6y

        -6 = -3y

         y = 2

If y = 2 then BC = 12 and we can set up this equation:

12 = 5x - 3

15 = 5x

3 = x

-X + 5+ 4x
simplify the expression

Answers

Answer:

3x+5

Step-by-step explanation:

combine like terms, and get 3x+5

Magdala is modeling 2.12÷4 how to cheeks change the place value blocks so she can make 4 equal shares

Answers

Answer and explanation:

If Magdala is trying to divide 2.12 by 4 then she would definitely need to change the place value of the dividend(2.12) and the divisor(4). In other words, both numbers need to be whole numbers.

To make 2.12 a whole number, we shift the decimal point two places to the right of the decimal point to get 212. We do same for 4 to get 400, since both numbers have to have their place values adjusted equally.

We divide 212 by 400 to get 0.53

Therefore 2.12 divided by 4= 0.53

What is (f + g)(x)?
f(x) = -3x^2
g(x) = -5x + 4

Answers

Answer:

x=4 and y= 2/3

Step-by-step explanation:

g(x)= -5x+4

g(0)= -5(0)+4

=4

(0,4)

then you find x

1(x)= -5x+4

x= -5x+4

x+5x = 4

6x ÷ 6 =4÷6

x = 2/3 or ⅔

The sum area please.

Answers

Answer:

4xy+24y^2−7x−38y−7

Step-by-step explanation:

(-7+4y) (6y+x+1)

-7*6y= -42y

-7*x= -7x

-7*1= -7

4y*6y= 24y²

4y*x= 4yx

4x*1= 4y

Add them up

(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT

Answers

L is perpendicular to I
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