which pair of ratios forms a proportion? hint: check for cross products. a. 6/9=9/12 b. 8/16=10/21 c. 6/15=10/25 d. 4/14=6/27

Answers

Answer 1

Answer:

  c. 6/15 = 10/25

Step-by-step explanation:

Using the hint, we can form the cross products of the offered choices:

a.  6(12) vs 9(9) ⇒ 72 vs 81 . . . not a proportion

b.  8(21) vs 16(10) ⇒ 168 vs 160 . . . not a proportion

c.  6(25) vs 15(10) ⇒ 150 vs 150 . . . IS A PROPORTION

d.  4(27) vs 14(6) ⇒ 108 vs 84 . . . not a proportion

__

The cross products are the same for choice C, so that is a pair of ratios that form a proportion:

  6/15 = 10/25


Related Questions

Chanelle selects a marble from a container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. Based on this information, what is the probability of Chanelle choosing a red marble the first time she selects a marble?

Answers

Answer:

1 ÷ 6

Step-by-step explanation:

Let us assume the probability of the red marble for selecting it first time be x

And, it is to be done 3 times

that means

= 1 ÷ x × 1 ÷ x × 1 ÷ x

This equivalent to = 1 ÷ 216

And the 216 could be calculated by multiplied 6 3 times i.e.

= 6 × 6 × 6

= 216

So, the probability for selecting it for a first time is

= 1 ÷ 6

Tyrone's hourly wage is $18 and his net pay is 72% of his earnings Tyrone spends about $1800 on his monthly expenses if Tyrone works 40 hours per week and has no other sources of income what is his total monthly cash inflow it as soon as there are four pay periods per month

Answers

Answer:

The monthly cash inflow is $273.6

Step-by-step explanation:

It is given that hourly wage is $18 and his net pay is 72% of his earnings.

First, calculate the 72% of $18.

72% of his earnings is [tex]\$18\times \frac{ 72}{100}= \$12.96[/tex].

Tyrone works 40 hours per week .

The number of working hours in a month is: [tex]40\times4=160 \text{ hours}[/tex]

For 1 hour is he was getting $12.96.

For 160 hours he will get: [tex]160\times 12.96=\$2073.6[/tex]

His total monthly cash inflow is $2073.6 - $1,800=$273.6

Hence, the monthly cash inflow is $273.6

The difference of x and 21 is less than 35

Answers

x=55 or less

it is 55 or less bacause if it where 56 it would equal 35 and they want less then 35.


A special type of literal equation is a___________, which describes an important mathematical relationship.

Answers

Answer: Formula

Step-by-step explanation: Formulas are special types of literal equations. ... This means that you get the variable you are solving for alone on one side of the equation.

Hope this helped because I had the same question.

if b is the midpoint of ac and ab is 39 what is bc

Answers

Answer:

Step-by-step explanation:

a———-b———c^39.         ^?bc=39 segment addition postulate

Answer:

The answer is BC = 39.

Step-by-step explanation:

If B is the midpoint, then AC would be divided into two. AB = 39 and AB is half of AC so BC = 39 as well.

Venus Waldo reviewed her account statement and wanted to verify that the interest amount was correct. Her new balance was $12,098.12 and her previous balance was $9,043.20. She had deposited $3,298.45 and withdrawn $300.00. Find the interest earned on Venus' savings account.

Answers

Answer:

The interest on the savings account is $46.47

Step-by-step explanation:

Here, we want to know the interest earned on the savings account.

The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92

The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45

This is the amount that is supposed to be on the account without interest

So the interest earned would be; 3044.92 - 2,998.45 = $46.47

64 ounces is equivalent to pints

Answers

4 pints
i hope this helped, thank you! :)

-3/2 divided by 1/4

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

When you divide fractions, you multiply the inverse.

So, -3/2 divided by 1/4 is -3/2 x 4/1 = -12/2

                                        Simplified = -6

Hope this helps:)

H E L P ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

Answers

Answer:

a=8 and b= -6

Step-by-step explanation:

y-2=5x whats the slope and point on line

Answers

You rearrange the equation to y=5x-2 and the slope is 5 and the Y-intercept is -2 or (0,-2)

Questions 7 and 8 multiple choice

Answers

Problem 7

Answer: Choice A) 7

--------------------------------------

Work Shown:

p(x) = x^4+x^3-kx-x+6

If (x-2) is a factor of p(x), then x = 2 is a root of p(x). This is a special case of the remainder theorem.

This means p(2) = 0

Replace every x with 2 and solve for k

p(x) = x^4+x^3-kx^2-x+6

p(2) = 2^4+2^3-k(2)^2-2+6

p(2) = 16+8-4k-2+6

p(2) = 28-4k

0 = 28-4k .... replace p(2) with 0

4k = 28

k = 28/4

k = 7

The polynomial

p(x) = x^4+x^3-7x^2-x+6

has the factor (x-2)

============================================

Problem 8

Answer: D) 40

--------------------------------------

Work Shown:

Check out the diagram below to see the synthetic division table. We're after the remainder which is highlighted in yellow.

An alternative is to use direct substitution

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

p(-3) = 2(-3)^4+4(-3)^3-(-3)^2-5 ... replace every x with -3

p(-3) = 2(81)+4(-27)-9-5

p(-3) = 162-108-9-5

p(-3) = 40  

This helps confirm we got the right remainder and the right answer.

Easy question

Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth.
A) 25.36 feet
B) 27.98 feet (NOT correct)
C) 100.22 feet
D) 128.67 feet (NOT correct)

Answers

Answer:

It is D 128.67

Solution:

Opposite=60

Angle=25degrees

Adjacent=?

Hypotenuse=?

We need to solve for the adjacent so don't worry about hypotenuse value.

Equation to solve for Adj.

tan(x)=Op./Hyp.

tan(25)=60/adj.

You then flip it

Adj.=60/tan(25)

Adj.=60/0.46630765815

Adj.=128.67 feet

Whallah!

Ask any questions that you have in the comments!

Answer:

D 128.67

Step-by-step explanation:

took the test and got it right. 100% correct

What slope is parallel to an “undefined slope”?

Answers

Answer:

It would be a perpendicular or anything on a y- axis

Step-by-step explanation:

because in this case the perpendicular would be the slope of a vertical line which would be undefined.

aida has 100 coins and 76 of them are nickels what percent of the coins are nickel

Answers

Answer: 80%

Step-by-step explanation:

Answer:

76%

Step-by-step explanation:

Because 76 out of 100 are nickels.

Convert the following equation into SLOPE-INTERCEPT form: y-5=-2(x+4)

Answers

Answer: y=-2x-3

Step-by-step explanation:

You would first do -2•x and -2•4 then get y-5=-2x-8 then you try to isolate y by adding 5 to both sides giving you y=-2x-3

Anthony wanted to get a job after school. His
neighbor said he would pay him $8.00 an hour for 4
hours a day to mow his lawn and rake the leaves.
How much would Anthony make in one day? *

Answers

$8 per hour
Work for 4 hours a day so
$8x 4 =32
So he make $32 a day
8.00 x 4 = 32
Anthony would make 32 dollars

Answer the questions below. Write your answers in simplest form.
(a) A square has a perimeter or 32 cm. What is the length of each side?
cm
(D) A square has an area of 144 m². What is the length of each side?

Answers

Answer:

A) 8cm

B) 12cm

Step-by-step explanation:

A) Perimeter = 4 × L

where L is the length of the sides

32 = 4 × L

32/4 = L

L = 8cm

B) Area = L^2

144 = L^2

L = square root of 144

L = 12cm

a)

The length of each side is 8 cm.

d)

The length of each side is 12 m.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

The perimeter of the square = 32 cm

Area of the square = 144 m²

Now,

Perimeter = 32 cm

4 Side = 32 cm

Side = 32 /4

Side = 8 cm

Area = 144 m²

Side² = 144

Side = 12 m

Thus,

The length of the side is 8 cm.

The length of the side is 12 m.

Learn more about squares here:

https://brainly.com/question/22964077

#SPJ2

The head track coach for PCTVS has a big track meet coming up. He knows that his biggest rival is Clifton and the entire track meet will come down to one event, the 100 meter relay race. The relay race is comprised of 4 runners from each team who run 100 meters each. The track coach has been working on his projections for the race and knows it will come down to the last leg of the race. He is having difficulty with his algebra skills, so he has asked the Honors classes at PCTI to help him make a projection for the race. He knows that on the last leg of the race, his runner will be leading the race. PCTVS's runner runs at a speed of 10.1 meters per second. Clifton's runner runs at a rate of 10.9 meters per second and will start the last leg of the race 0.8 seconds behind the runner from PCTVS. Will PCTVS win the relay race?

Answers

Answer:

ookkkkk

Step-by-step explanation: i have no clue about what u saying

Answer:

Which excerpt from "The Catch” appeals to readers’ sense of hearing to help them imagine a scene?

His legs and thigh muscles ached as he trudged through the final swampland.

He tried to thrust off  Rohan’s shoulders to push himself over in as though they were in a game of leap frog.

Just then, an old elf released a great eagle from its shackles, a signal for the race to start.  When it squawked to freedom, the race began.  

The gentle foothills ended quickly, and the runners made a steep scramble to the top of a cliff, followed by a daylong run up across uneven terrain of hard, coarse-grained rock.

Step-by-step explanation:

What is the value of x?

Answers

Answer:

I think x might equal 25

Step-by-step explanation:

the answer is 25 hope this helps

Classify the number: -17.5 *
O Irrational
O Rational
Rational, Integer
O Rational, Integer, Whole

Answers

Answer:

I think it is either c or d

hopefully this helps

how may times does 9 go into 81

Answers

9 times.............

Answer:

9*9=81 so 9 times...

A pet supply store is having a 25% off sale.

Which equation represents the sales price, P, for a purchase if n is the original price?

Answers

Answer:

P=.75n

Step-by-step explanation:

P=(1-discount)n

  =(1-.25)n

   =.75n

To make purple paint you
must mix 2 parts blue with 5
parts red. If I use 13 cups of
blue, how much red would I
need for the same shade of
purple?

Answers

Answer:

you need 32.5 cups of red for the same shade of purple

Step-by-step explanation:

2:5

13:32.5

Answer:

32.5 cups of red

Step-by-step explanation:

Lets take it step-by-step.

So to make purple paint you mix 2 parts of blue and 5 parts of red. So if you use 13 cups of blue you need to use 32.5 cups of red because...

13 divided by 2 = 6 1/2, so you would have to multiply 5 x 6 1/2 which is 32.5

Next time you come across a problem like this take the large number you have Ex. 13, and divide it by the smaller number you know Ex. 2, and then multiply the number that you've gotten by dividing Ex. 6 1/2, with the other small number Ex. 5, and then you have your answer.

If you need any more help let me know :)

3x - 2 = -8

What is x ?

Answers

Answer:

one

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

3x - 2 = -8

            +2

3x = -6

x = -2

Enter the value of x that makes the given equation true

3(5 - x) = 7x - 2

Answers

the exact form is 17/10, decimal form is 1.7, and mixed number form is 1 7/10

Answer:

[tex]\boxed {x = \frac{17}{10}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3(5 - x) = 7x - 2[/tex]

-Use Distributive Property:

[tex]3(5 - x) = 7x - 2[/tex]

[tex]15 - 3x = 7x - 2[/tex]

-Take [tex]7x[/tex] and subtract it from [tex]-3x[/tex]:

[tex]15 - 3x - 7x = 7x - 7x - 2[/tex]

[tex]15 - 10x = -2[/tex]

-Subtract [tex]15[/tex] to both sides:

[tex]15 - 15 - 10x = -2 - 15[/tex]

[tex]-10x = -17[/tex]

-Divide bot sides by [tex]-10[/tex]:

[tex]\frac{-10x}{-10} = \frac{-17}{-10}[/tex]

[tex]\boxed {x = \frac{17}{10}}[/tex]

So, the value of [tex]x[/tex] is [tex]\frac{17}{10}[/tex].

A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods. Which describes the correct method? Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent. Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent. Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer:

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Given expressions

4x - x + 5 = 3x + 58 - 3x - 3 = -3x + 5

Compared, we see the expressions are different as 3x and -3x have different coefficient

Answer options

Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.

Incorrect. Positive outcome doesn't mean equivalent

----------------------------------------

Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Incorrect. There are 2 values- variable and constant

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.

Incorrect. Positive outcome doesn't mean equivalent.

----------------------------------------

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Correct.  

Answer:

I was told by a man that it is b

Step-by-step explanation:

What is the equation here?

Giving Brainliest.

Answers

Answer:

for store a 260 + 20 times x and then store b 140 + 30 times x

Step-by-step explanation:

Help meeeee!!!!!! Please

Answers

Answer:

-1/11

Step-by-step explanation:

if this is one of the answer choices.

A particle travels in a circle around a fixed point at 16 revolutions per minute. The linear velocity of the particle is 240
inches per minute.
What is the distance, in inches, between the particle and the fixed point?

Answers

Answer:

15 inches

Step-by-step explanation:

We are given;

Linear velocity; V = 240 in/min

ω = 16 rev/min

Now, in circular motion, formula for linear velocity is;

V = ωr

Where ω is angular velocity and r is radius which is the distance between the object and the fixed point.

Thus;

240 = 16r

r = 240/16

r = 15 inches

Clay can run one lap around the track in a 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?

Answers

Step by Step Solution:  to equal 4.25000

More Icon

STEP

1

:

17

Simplify ——

1

Equation at the end of step

1

:

17

—— ÷ 4

1

STEP

2

:

17

Simplify ——

1

Equation at the end of step

2

:

17

——

4

STEP

3

:

17

Simplify ——

4

Final result :

17

—— = 4.25000

4

Answer:

1h 22m

Step-by-step explanation:

Because 1/4 of an hour is 15m and 15X5=75 or 1h and 15m

then 1/3 of a lap would just be 33% of 15m which is 6.6m or round that up to 7 so 1h and 15m + 7m= 1h and 22m

hope that helped.

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