Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form

Answers

Answer 1

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25


Related Questions

Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?

Answers

Answer: x = 3 and y = 5

Step-by-step explanation:

PLS ANSWER URGENT

1. Larry writes a list of numbers that has average 14, median 21 and mode 11

(a) Moe creates a list by adding 12 to each number in Larry’s list. What is the average, median and mode of Moe’s list?


(b) Curly creates a list by multiplying each number in Larry’s list by 2, what are the average, median and mode of Curly’s list?

Answers

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
A. 144 blocks
B. 100 blocks
C. 24 blocks
D. 20 blocks

Answers

Answer:

100 blocks.

Step-by-step explanation:

Let x represent number of blocks built by Gage.

We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .

We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.

Hope it helped!

can somebody help me out which one is correct
A , B , C , D ?

Answers

Options A, B and D are true.

Complete the two column proof

Answers

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

i need help please thanks ​

Answers

Answer: a. The prices throughout the year of the items in a store.

Step-by-step explanation:

An input value cannot have multiple output values.

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

What is the answer? Please include step by step method.

Answers

Answer:

x=8

Step-by-step explanation:

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

First, use distributive property for the first part of the equation:

8x - 20 = 5x + 4  

Then, move everything to the left of the equation:

Remember, when you move something over an equals sign, the sign in front of the number changes.

8x - 20 - 5x - 4 = 0

Then, combine the like terms:

3x - 24 = 0

Move the -24 to the other side of the equation:

3x = 24

Finally, divide both sides by 3 to isolate the x.

3x/3 = 24/3

3 cancels out on the first half.

x = 24/3

x = 8

Hope this helps! Have a great day!

Answer:

x=8

Step-by-step explanation:

Step 1.

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

8x-20=5x+4

Step 2.

Add 20 to both sides

8x-20=5x+4

8x-20+20=5x+4+20

Step 3.

Simplify add the numbers

8x=5x+24

Step 4.

Subtract 5x from both sides of the equation

8x=5x+24

8x-5x=5x+24-5x

Step 5

Simplify

combine like terms

3x=24

Step 6

Divide both sides of the equation by the same term

3x=24 3x/3=24/3

Step 7

Simplify

Cancel terms that are in both the numerator and denominator

divide the numbers

x=8

Given the function f(x) = x2 - x + 7, find each of the following.
f(6)=
f(- 9)=
f(0)

Answers

Answer:

37, 79, 7

Step-by-step explanation:

f(6) = 6² -6 +7

36-6+7 is 37

f(-9) = -9² -9+7

81-9+7 is 79

f(0) = 0² -0+7

0-0+7 is 7

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees

a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000

pls answer asap!!!​

Answers

Answer:

Hi, the answer is a.

Step-by-step explanation:

1. 1800-200=1600

2. As 1800 is total x will be smaller amount. so....

3. when we write a subtraction statement bigger number - smaller number..

4. So answer will be 1600-x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.

Then the expression is given as,

⇒ 1800 - x - 200

Simplify the expression, then we have

⇒ 1800 - x - 200

⇒ 1600 - x

The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.

Answers

The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

For a normal distribution:

About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.

Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

Find the output for f(x) = -3 |2x - 9| + 4.

When x = -5

SHOW EVERY STEP!

Answers

Hey there!

f(x) = -3|2x - 9| + 4

y = -3|2x - 9| + 4

y = -3|2(-5) - 9| + 4

y = -3|-10 - 9| + 4

y = -3|19| + 4

y = -57 + 4

y = -53

Therefore, your answer should be: f(x) = -53

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

(test question) If you're good at geometry please help me

Answers

Step-by-step explanation:

this is a rectangle. so, all things are symmetric.

EI = IG = FI = IH

IGF = IFG = IEH = IHE

therefore, since EI = FI

2x + 8 = 6x - 20

28 = 4x

x = 7

now,

EG = EI + IG = 2×EI = 2×(2×7 + 8) = 2×22 = 44

IFE is a complementary angle to IFG (together they have 90°).

and because IFG = IGF = 30°

IFE = 90 - 30 = 60°

write an equation in slope intercept form of the line that passes through the given points -4,9 -2,4 0,-1 2,-6 PLS HELP ILL GIVE BRAINLY TO WHOEVER IS RIGHT

Answers

Answer:

y=-2/5X-12

Step-by-step explanation:

M=x2-x1/y2-y1

  = -2-(-4)/4-9

  = 2/-5

C was given when u received the point (0, -12)

so C is -12

Answer:

y = -5/2x - 1

Step-by-step explanation:

First, we will figure out the slope. We will use the points (0, -1) and (2, -6). To do this, we look at the y values, -1 and -6, and we look at their rate of change. To get to -6 from -1 we subtract 5, or add -5. Now look at x: 0 and 2. To get from 0 to 2, we add 2. Our slope is [tex]\frac{-5}{2}[/tex].

We can use the point (0, -1) because that's our y-intercept. Your y-intercept is the value of y when x is equal to 0. Now, we put our slope and y-intercept into the slope intercept equation:

y = mx + b: where b is the y-intercept and m is the slope

y = -5/2x - 1 is your answer

Hope this helps! :D

hey i am just clueless

Answers

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13 2) x = y + 8

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

=> y = 6

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

=> x = 14

Answer:

Hence, we got the values of x and y as:

[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]

Make
q the subject of p=6q +7

Answers

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

How to write an equation in the subject of a variable?

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

#SPJ1

pls answer quickly

A pool charges $7 for 2 daily pool passes. Which table could represent the situation?​

Answers

Answer: B

Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.

What is the domain of the function
y = √x

Answers

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

Calculate the value of 4321 (base 5) + 343 (base 5)​

Answers

In the "1s" place,

1₅ + 3₅ = 4

In the "5s" place,

2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11

In the "25s" place, we carry the leading 1 from the "5s" place,

3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12

In the "125s" place, we carry over the 1 again,

4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10

Putting everything together,

4321₅ + 343₅ = 10214₅

The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid

Answers

Answer:

1913.34

Step-by-step explanation:

1784x0.0725=129.34

129.24+1784.00=1913.34

What is the estimated difference between 7 6/11−5 13/15?

NO LINK OR FILESSSS PLZZZZZZZZZZZZ

Answers

Answer:

1 1/2

Step-by-step explanation:

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker?

___centimeters by ____ centimeters

Answers

Length + width = 1/2 the perimeter:30/2 = 15

Area = length x width

List the factors of 50: 1, 2, 5, 10, 25, 50.

Find the two factors that when added together equal 15:

Dimensions are 5 cm by 10 cm.

See attachments for answer and math work.

PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS

I really need help don’t answer if your not giving the correct answer don’t respond

Answers

Answer:

pretty sure its A

Step-by-step explanation:

Concern airplane flying at a cruising speed of 1/2 km in 1/24 of a minute.Compute the unit rate of the airplanes cruising speed in kilometers per minute

Answers

Answer:

12 km/minute

Step-by-step explanation:

In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.

Answer:

12 km per min

Step-by-step explanation:

Don’t understand this anyone help I will give Brainyest thing

Answers

Answer:

  11.8 meters

Step-by-step explanation:

The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.

The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.

  (?)² + 34² = 36²

  (?)² + 1156 = 1296 . . . evaluate the squares

  (?)² = 140 . . . . . . . . . . subtract 1156 from both sides

  (?) = √140 . . . . . . . . . take the square root

  (?) ≈ 11.8 . . . meters

The length of the shadow is about 11.8 meters.

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

What is the degree of polynomial?
With example!​

Answers

Answer:

[tex]\boxed{\mathfrak{Question ~}}[/tex]

What is the degree of polynomial?

[tex]\large\boxed{\mathfrak{Answer}}[/tex]

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Example:

[tex] {6x}^{4} + {2x}^{3} + 3[/tex]

4x The Degree is 1 (a variable without an

exponent actually has an exponent of 1)

More Examples:

4x^ − x + 3 The Degree is 3 (largest exponent of x)

x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)

z^2 − z + 3 The Degree is 2 (largest exponent of z)

A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.

3 is a polynomial of degree 0.

Answer:

The degree of a monomial is the sum of the exponents of all its variables.

Example 1:

The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .

Example 2:

The degree of the monomial 7x is 11 (since the power of x is 11 ).

Example 3:

The degree of the monomial 66 is 0 (constants have degree 0 ).

The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)

"√2n-5 = 10."

Please Show Step By Step

Answers

Answer is 15√2/2. I think.

evaluate –3(–5)(–1)(3)​

Answers

Answer:

-45

Step-by-step explanation:

I think one way you could do it is:

1. –3(–5) = 15

2. (–1)(3)​ = -3

3. (15) (-3) = -45

I used a calculator pls let me know if im incorrect

I need helppp help meeeeeeee

Answers

1)  [tex]\frac{11-13}{4-7}= \frac{2}{3}[/tex]

2) [tex]\frac{-2-7}{-10-(-7)}=\frac{-9}{-3} =3[/tex]

3) [tex]\frac{9-3}{-11-(-14)} =\frac{6}{3}=2[/tex]

4) [tex]\frac{8-4}{11-(-9)} =\frac{4}{20}= \frac{1}{5}[/tex]

ok done. Thank to me :>

1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.​

Answers

Q1 is 2 2/3 or 2 2 out of 3 or 2.66666666667
Q5 is 3 1 out of 3 or 3 1/3 or 3.33333333
Q6 is 27/12 or 27 out of 12
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