Which values of a b and c.correctly represents the answer in simplest form. 3 1/2 divided by 2 1/4 = a b/ c

Answers

Answer 1

Answer:

Comparing the L.H.S with the R.H.S

a = 1b = 5c = 9

Step-by-step explanation:

Given

3 1/2 divided by 2 1/4 = a b/ c

solving the left-hand side of the equation

[tex]3\frac{1}{2}\div \:2\frac{1}{4}[/tex]

Convert mixed numbers to improper fractions

[tex]3\frac{1}{2}=\frac{7}{2}[/tex][tex]2\frac{1}{4}=\frac{9}{4}[/tex]

so the expression becomes

[tex]3\frac{1}{2}\:\div 2\frac{1}{4}=\frac{7}{2}\div \:\frac{9}{4}[/tex]

Apply the fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

              [tex]=\frac{7}{2}\times \frac{4}{9}[/tex]

Cross cancel the common factor

                [tex]=\frac{7}{1}\times \frac{2}{9}[/tex]

Multiply fractions: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

                [tex]=\frac{7\times \:2}{1\times \:9}[/tex]

                 [tex]=\frac{14}{9}[/tex]

Convert improper fractions to mixed numbers

                [tex]=1\frac{5}{9}[/tex]

Thus, the main expression becomes

[tex]\:1\frac{5}{9}=a\frac{b}{c}[/tex]

Thus, comparing the L.H.S with the R.H.S

a = 1b = 5c = 9

Related Questions

Please help I’ve been stuck for an hour!!!

Answers

Answer:

D

Step-by-step explanation:

What is this!!! I need to know quick

Answers

Answer:

x<3

Step-by-step explanation:

the dot is not black so it means that its not equal to three but bigger than three


If Y varies directly with X,
find Y when X=24, if Y = 5
when X= 30.​

Answers

Answer:

Y=4 when X =24

Step-by-step explanation:

If Y varies directly with X,  find Y when X=24, if Y = 5  when X= 30.​

We can write:

[tex]Y\:\alpha\: X\\Y=kX[/tex]

Where k is known as constant of proportionality

Now, we are given: Y = 5  when X= 30.​

We can find value of k

[tex]Y=kX\\5=k(30)\\k=\frac{5}{30}\\k=\frac{1}{6}[/tex]

Now, we will find Y when X = 24

and k=1/6

[tex]Y=kX\\Y=\frac{1}{6}(24)\\Y=4[/tex]

So, Y=4 when X =24.

Vanessa has 16 songs on a Classic Rock CD. Six of the songs are by the Beatles, 4 are by the Rolling Stones, 4 are by the Who, and 2 are by the Doors. Vanessa plays the CD. She selects a setting that randomly chooses songs to play.
Find the probability of each event:
a) The first 3 songs played are by the Beatles.
b) The first 2 songs played are by the Rolling Stones and the next 2 songs are by the Beatles.
c) The first 2 songs played are by the Doors, and the next song played is either by the Beatles or the Rolling Stones.

Answers

Answer:

a)the first 3 songs played are by the beatles

Step-by-step explanation:

i think its a

Simon started for school at 8:30 he got there 15minuter later. what time did he get to school​

Answers

Simon started school at 8:45.

Answer:

8:45

Step-by-step explanation:

XD 8:30+15 mins =8:45

Hello please help me solve this :) will give braisnlt

What’s the order ???
For immigration

Answers

C A B E D

i think this is the answer

Help please ASAP. Correct answer will get brainly

Answers

Answer:

I think it's 3,6.....................

I think it’s (3,6) too but not sure... I’m sorry if wrong

Hawall is 6 hours behind Cincinnati. If it is 5 AM in Hawall, what time is it in Cincinnati?

Answers

Answer:

11 AM

Step-by-step explanation:

5 + 6 = 11

as you move to the ______on the number line the values of the numbers ________​

Answers

As you move to the left on the number line the values of the number become negative

add the 2/5, 3/4, 1/2​

Answers

1.65

33/20

1 13/20

Your welcome

HELP ASAP!! MARKING BRAINLIEST!!! WORTH 10 POINTS FIRST PERSON TO ANSER CORRECTLY GETS BRAINLIEST!!!!

Which fraction represents the product of -5/6 times 5/6 in simplest form?
A. -1
B. -5/6
C. -25/36
D. 25/36

Answers

Answer:

-25/36

Step-by-step explanation:

-5/6 x 5/6 = -25/36

There is no way to simplify it.

You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.

Answer:

C. -25/36

Step-by-step explanation:

-5/6 x 5/6 = -25/36

There is no way to simplify it.

You just needed to multiply the deniminators and the numerators. And since you can't simplity -25/36, you have your answer.

Hope this helps  :)

half the sum of 16 and x decreased by one-fourth x

Answers

8x=

8-0.25=

7.75

Heart this if it helped!

Write an equation in slope-intercept form for the line that passes through (4, 1) and is parallel to the line y-1/4x+7

Answer and I will give you brainiliest
​​

Answers

Answer:

y = -1/4x + 8

-2n divided by 3 + (4n - n), when n = 6

Answers

Step-by-step explanation:

Divisor = -2n = -2 * 6 = - 12

Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21

Now

21 / -12

dividing numerator and denominator by 3

= - 7 / 4

Step-by-step explanation:

= -2n

= -2×6

= -12

again,

=3+(4n-n)

= 3+4×6-6

=3+24-6

=21

now,

= -12

21

hope it helps.

Based on the two way frequency table above, what is the ratio / fraction of women who selected a sports car as their preferred vehicle. Express your answer in simplest terms.

45/240

45/180

3/12

1/4

3/16

Answers

The answer in simplest form would be 1/4.

median for 9, 8, 5, 4, 3,18, 15 *


What is the mode for 1,1,1,2,3,5,10,10,10,10,14,11​

Answers

Answer:

median: 8

mode: 10

Middle school 95 students have freckles there are 382 students in the school to the nearest 10th of a percent what is the percent of the students have freckles

Answers

Answer:

24.9%

Step-by-step explanation:

95/382=0.24869

0.24869*100=24.87

24.87% rounded up to the nearest tenth of a percent is 24.9%

16. 68, ......., 96, 113, 132
a. 80
b. 81
c. 96​

Answers

Answer:

B.

Step-by-step explanation:

So there is a pattern:

132-113=19

113-96=17

96-? is going to equal 15

So 96-81=15

And 81-68=13

Using the equation ŷ = 2.6 − 3.1x, what is the predicted value if x is 4.3?

Select one:
a. −10.73
b. 10.73
c. 15.93
d. −15.93
e. 0.54

Answers

Answer: Choice A) -10.73

Work Shown:

Plug x = 4.3 into the equation given

ŷ = 2.6 − 3.1x

ŷ = 2.6 − 3.1(4.3)

ŷ = 2.6 − 13.33

ŷ = -10.73

Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.

There is a stack of twenty cards labeled from 1 to 20. One card is randomly drawn. What is the probability that the card is a multiple of three or odd?​

Answers

Answer:

I think 6 out of 20.

Step-by-step explanation:

I used mental math.

What is the difference between -2 and 7

Answers

Answer:

21

Step-by-step explanation:

Answer:

The answer is 9.

Step-by-step explanation:

If you have a number line, which I don't, you can count the spaces. The answer should be 9.

PLease answer this!!!

Answers

Answer:

the answer is -5

Step-by-step explanation:

simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)

Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all the outcomes in W.

Answers

[tex]A \ system \ is \ composed \ o f \ 5 \ components \ , \ e ach \ of \ which \ is \ either \ working \ or[/tex][tex]failed. \ Consider \ an \ experiment \ that \ consists \ of \ observing \ the \ status \ of \ each[/tex][tex]component \ . and \ let \ the \ outcome \ of \ the \ experiment \ be \ given \ by \ the \ vector[/tex][tex](x1,x2,x3, x4, x5), \ where \ xi \ is \ equal \ to \ 1\ if \ component \ i \ is \ working \ and \ is \\ equal \ to \ 0 \ if \ component \ i \ is \ failed.[/tex]

[tex](a) \ How \ many \ outcomes \ are \ in \ the \ sample \ space \ of \ this \ experiment?[/tex]  

[tex](b) \ Suppose \ that \ the \ system \ wil l \ work \ if \ components \ 1 \ and \ 2 \ are \ both \\ working, or \ if \ components \ 3 \ and \ 4 \ are \ both \ working, \ or \ if \ components \ 1, \ 3, \\ and \ 5 \ are \ all \ working. \ Let \ W \ be \ the \ event \ that \ the \ system \ will \ work. \ Specify \\ all \ the \ outcomes \ i n \ W.[/tex]

Answer:

Step-by-step explanation:

From the given information:

We learned that it is possible that all entities can be in one of two states i.e. 0 or 1. Thus, all 5 entities can either be 0 or 1 (2 states).

Number of outcomes = 2 × 2 × 2 × 2 × 2

= 2⁵

= 32

b)

All the outcomes of W = {(1, 1, x₃, x₄, x₅) (x₁, x₂, 1, 1, x₅) (1, x₂, 1, x₄, 1)}

A label is twice as long as it is wide. If the length of the label is 10 cm, find the
area of the label.
O 20 square centimeters
O 50 square centimeters
O 60 square centimeters
O 70 square centimeters

Answers

Answer:

50 square centimeters

Step-by-step explanation:

Long means length, and we know the length of the label, 10 centimeters. That means the width is half of 10 centimeters, or 5 centimeters. Now, we multiply 10 and 5 to get 50. That means the area of the label is 50 square centimeters

100 POINTS IF YOU ANSWER!!

Determine which expression(s) is in its simplified form. Select all situations that apply.
x²/xy
12x/y
4x/32z
5z/xy
z^4/xyz

Answers

Answer:

the answer is 12x\y hope it helps

hmmm i think it’s 12x/xy but i’m not entirely sure

Mia measures the length of a leaf with her ruler.

Which of the following values is most likely the value she measured with her ruler?

A
0.0048 m

B
0.157 ft

C
4.8 cm

D
48.41 mm

Answers

Answer:

most likely C) 4.8 cm

Step-by-step explanation:

y = -2x - 9
6x - 5y = -19

Answers

Hey there!

y = -2x - 9

6x - 5y = -19

We're going to label the first equation as "1" and the second equation as "2." Now, in order to find the values of "x" & "y," we need to even out the equations by placing their "x" and "y" markers on the same side of the equal sign.

Let's start off by adding 2x to both sides of equation 1.

1) y + 2x = -2x - 9 + 2x

Simplify.

Equation 1 is now: 2x + y = -9

Now, we need to multiply equation 1 equations by "3" in order to create "6x" in both equations. This helps us find the value of "y" because it cancels out the "x" in both equations.

1) (2x + y = -9) × 3

Simplify.

1) 6x + 3y = -27

2) 6x - 5y = -19

Now that our equations are lined up, we can subtract equation 2 from equation 1.

6x - 6x = 03y - (-5y) = 3y + 5y = 8y-27 -(-19) = -27 + 19 = -8

Let's put this all together now.

8y = -8

Divide both sides by 8!

8y ÷ 8 = -8 ÷ 8

Simplify.

y = -1

Now that we have the value of y, we can easily plug it into one of our equations to get our "x" value.

Equation 1: y = -2x - 9

Plug in "-1" for "y."

-1 = -2x - 9

Add 9 to both sides

-1 + 9 = -2x - 9 + 9

Simplify.

8 = -2x

Divide both sides by -2.

8 ÷ -2 = -2x ÷ -2

Simplify.

-4 = x

Therefore, x = -4 & y = -1

(-4, -1)

Hope this helped! :)

Answer:

x = - 4

y = - 1

Step-by-step explanation:

y = -2x - 9

2x + y = - 9

2x + y = -9 (× 3)

6x - 5y = -19

______________

Elimination

6x + 3y = - 27

6x - 5y = - 19

____________ _

8y = - 8y = - 8/8y = -1

Solution for x :

Substitution

6x - 5y = -19

6x - 5(-1) = -19

6x + 5 = - 19

6x = - 19 - 5

6x = - 24

x = -24/6

x = -4

6x - 5y = - 19

6(-4) - 5(-1) = - 19

-24 + 5 = - 19

-19 = - 19

(RIGHT)

#LearnWithEXO

What are some numbers between 61 and 107 that are multiples of 3,6,8

Answers

Hi!
Here are some options!

66, 72, 78, 84, 90, 96

These are all multiples of six!

-2+x=41 positive or negative

Answers

Answer:

in order to determine the sign, we need to solve it first

lets collect the like terms by one side

x=41+2

x=43

so, the sign is positive

can i have brainliest if it helped, please, i really need it

stay safe from the virus

plz follow me, i'll follow back

Step-by-step explanation:

Question 9: 5 pts
The number of patients treated in a dental office each day was recorded for 11 days. Find the
median for this data
10, 20.15, 15, 10, 14, 15, 15, 13, 25, 24
If the answer is not a whole number, enter it as a decimal. Round the decimal to the nearest
tenth, if needed

Answers

Answer:

15

Step-by-step explanation:

10, 20.15, 15, 10, 14, 15, 15, 13, 25, 24

Organize the data from least to greatest

10, 10, 13, 14, 15, 15, 15, 20.15, 24, 25

Cross out data from each side until one point is left. So cross out one from one side, then another from the other side, continue this process until only one number is left. If two numbers are left, then take the average of the two numbers.

10, 10 , 13, 14, 15, 15, 20.15, 24, 25

10, 13, 14, 15, 15, 20.15, 24

13, 14, 15, 15, 20.15

14, 15, 15,

15

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