Sofia said, "I'm thinking of a fraction that is equivalent to 5 6 . The numerator is 4 less than the denominator." What fraction is Sophia thinking of?

Answers

Answer 1

Answer: 20/24

Step-by-step explanation:

Let the denominator be x

The numerator is 4 less than the denominator. Therefore, numerator = x-4.

We can then use the information given in the question as:

5/6 = x-4/x.

Cross multiply.

5 × x = 6(x-4)

5x = 6x - 24

6x - 5x = 24

x = 24

Since the denominator is 24, the numerator will be: = x - 4 = 24 - 4 = 20

Then, the fraction will be 20/24


Related Questions

5( 2a + b - 8) =
......................................

Answers

Answer:

10a+5b-40

Step-by-step explanation:

5(2a+b-8)

Distribute

5(2a)+5(b)-5(8)

10a+5b-40

Answer:

10a+5b-40

Step-by-step explanation:

distribute to get the simplified version

10a+5b-40

Sara wants to buy a new tennis racket for $120. She currently has $40
and is saving $10 per week. The store owner is decreasing the price of
the tennis racket $5 every week he doesn't sell it. How many weeks
until she has enough money to buy the racket?.
weeks

Answers

Answer:

7 weeks

Step by step explanation:

(PLEASE HELP)Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
y = 2x - 4
x + 2y = 12

Answers

Answer:

algebraically.

y = 2x - 4........….....(1)

x + 2y = 12..............(2)

substituting the value of y in equation (2) we get

x+2(2x - 4)=12

x+4x-8=12

5x=12+8

x=20/5=4

substituting the value of x in equation(1) we get

y=2×4-4=8-4=4

:.(x,y)=(4,4)answer

The value of x = 4

The value of y = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A

Let the second equation be = B

Now ,

y = 2x -4

Subtracting 2x on both sides , we get

y - 2x = -4   be equation (1)

And ,

x + 2y = 12   be equation (2)

Now , on simplifying the two equations , we get

Multiply equation (1) by 2 , we get

2y - 4x = -8   be equation (3)

Now , subtract equation (3) from equation (2) , we get

5x = 20

Divide by 5 on both sides , we get

x = 4

Therefore , the value of x is 4

Substitute the value of x in equation (2) , we get

4 + 2y = 12

Subtracting 4 on both sides , we get

2y = 8

Divide by 2 on both sides , we get

y = 4

Therefore , the value of y is 4

Hence , The value of x and y is 4

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what's bigger -1/5 or -0.9

Answers

Answer:

-1/5

Step-by-step explanation:

-1/5=-0.2

-0.9<-0.2

I need the solution. Please give steps
y = 10x + 20
y = 20x + 10

Answers

Answer:

If your trying to answer for X, here is how you do it.

For the equation '' Y = 10x + 20 '', isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X =  Y/10 − 2

Or

X = [tex]\frac{Y}{10}[/tex] − 2

For the other equation " Y = 20x + 10 ", it's the exact same thing. Isolate the variable 'X' by dividing each side by factors that don't contain the variable 'X', to get your answer:

X = Y/20 − 1/2

Or

X = [tex]\frac{Y}{20}[/tex] − [tex]\frac{1}{2}[/tex]

Id.k uhhhh

X = 30?

wee e wee e we

I dont got steps sorry :v

Kelvin's math average is 75 and he wants to increase it to 89. He decides
that a 12% increase will allow him to reach his goal. Is he correct? Why or
why not?

Answers

Answer:

incorrect its actually 14%

Step-by-step explanation:


Which represents g(x)?

Answers

Answer:

a

Step-by-step explanation:

Please answer the correctly in the picture below 8TH GRADE MATHENMATICS?!

Answers

Answer:

B 3.5

Step-by-step explanation:

Hope it Helps!

3.5

Hope it helps my freind

Drag each number to the correct location on the table.
Classify each number according to its value.
3.2 x 105
1.9 x 101
2.2 x 10
2.4 x 10°
5.9 x 102
6.1 x 10
2.5 x 104
Greater than 2.4 x 104
Between 1.2 x 102
and 2.4 x 104
Less than 1.2 x 102

Answers

Answer:

3.2 x 10^5 goes in greater than 2.4 x 10^4

1.9 x 10^-1 goes in less than 1.2 x 10^2

2.2 x 10 goes in less than 1.2 x 10^2

2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 goes in less than 1.2 x 10^2

2.5 x 10^4 goes in greater than 2.4 x 10^4

Step-by-step explanation:

First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.

2.4 x 10^4 = 24000

1.2 x 10^2 = 120

3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.

1.9 x 10^-1 = .19, which is less than 1.2 x 10^2

2.2 x 10 = 22, less than 1.2 x 10^2

2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 = 61, less than 1.2 x 10^2

2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4

P.S Next time right ^ before the exponents, so we know they are exponents

Which triangles are similar?


Triangles B and C oh, triangles A and B call love triangles AMC or triangles a b and c

Answers

Answer:

The Correct Answer Is C

Step-by-step explanation:

For The triangles have the same angles which checks out and the side sides, if say you simplified the sides or whatever

Therefore, its C

Hope I Helps!

Answer:

C. Triangles A and C

Step-by-step explanation:

Given triangles A, B and C

Triangles A and C have congruent angles of 23° and 67° and similar sides with the scale factor of 3.

Triangle B is different, with angles 28° and 62°, therefore can't be similar to A or C.

Correct choice is C

You want to buy a pet lizard that costs ​$45. You already have ​$14 and you plan to save ​$7 per week. If w represents the number of weeks until you have enough money to buy the ​, what equation could you use to find the value of​ w? Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the lizard in 3 weeks.

Answers

9w+12
9*6+12 OR 9(6)+12

what is the equation for y=(1/4)^x+1

Answers

Answer:

A:(1,-3/4)

Step-by-step explanation:

Use substitution to solve the system

y= 1/4x-1

y= -1/2x-1/4

1/4x-1 = -1/2x-1/4, Solve for x

3/4x= 3/4, x = 1, Next solve for y by plugging the x-value into either equation.

y=1/4(1)-1

y=-3/4

What is the equation of a line perpendicular to y= 3x +6 that crosses the ordered pair (3,2).
(Hint: a line perpendicular to an equation has an opposite reciprocal slope)

Answers

Answer:

y=-[tex]\frac{1}{3}[/tex]x+3

Step-by-step explanation:

For each value of u, determine whether it is a solution to 2+9u<-16.

7: yes or no
-2: yes or no
2: yes or no
-7: yes or no

Answers

Answer:

7: no ( the answer will be 65 )

-2 : no ( the answer will be -16 and -16 is not less than -16 instead they're equal)

2 : no ( the answer will be 20 )

-7 : no ( the answer will be -61)

Non of them satisfy the condition

Hope this helped

Hope this helped ALL THE BEST!!

Given m||n, Find the value of x. Need help.

Answers

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16

40
15
6
x+1
solve for x

Answers

Answer:

4

Step-by-step explanation:

i do not understand how to explain this in english . i am sorry

what expresion is equivalent to 2(14x - 3y + 28x + 12.2 - 5y - 17.5) ?
A. 84x - 16y - 10.6
B. 28x - 6y - 10.6
C. 42x - 8y -5.3
D. 84x - 16y - 5.3

Answers

Answer:

a.

Step-by-step explanation:

just did the quiz on edge

what is the quotient?

Answers

Answer:

the answer is 4x [tex]10^{2}[/tex]

Step-by-step explanation:

I hope this helps

have a nice day/night

Mark brainiest please

Answer:

First of all, a quotient is a number that the answer to a division number basically. So, I think the best answer would be the first choice: 4 times 10 with an exponent of 12. I think that is the correct answer.

What rule is shown by this input/output table and coordinate plane?

A. add 3
B. subtract 3
C. divide by 2
D. multiply by 2

Answers

The answer to this problem is B. Subtract 3

Answer:

B

Step-by-step explanation:

subtract 3

input and output always input should be your first one.

So, 6-3=3  7-3=4  8-3=5

9-3=6 10-3=7

Hope this helps u:)

Pls mark brainlist

Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.

Answers

Answer: 12%

Step-by-step explanation:

What is 4/9 closest to 0,1/2 or 1

Answers

Answer:

1/2

Step-by-step explanation:

4/9 is equal to 4.444 repeating so that would be closest to 1/2

the correct answer is 0.44 which is closer to 0.5

Please help. Picture is attached below. Thank you! :) Will give brainliest!!

Answers

Answer:

e = 2

Step-by-step explanation:

Hope this helps! ///////////////////////

7(2e - 1) - 3 = 6 + 6e =

14e - 7 - 3 = 6 + 6e =

14e - 10 = 6 + 6e

-6e               -6e

8e - 10 = 6

    + 10  + 10

8e = 16

e = 2

PLEASE HELP! GIVING POINTS :)!

Answers

Answer:

120

Step-by-step explanation:

180/0.60=300

300-180=120

The answer will be 72 bec if you divide 180 by 10 you will get 18 per 10% is going to be 18 so 60%/100%=40% and then 18 times 4 is 72

If D varies directly with t and D is 105 when t is 3, find D when t is 8.

Answers

Answer:

280

Step-by-step explanation:

answer is 280

Answer:

answer is 280

Step-by-step explanation:

d=xt

105=x3

35=x

d=35*8

d=280

Which equation describes the line that passes through the points (-4, 19) and (2, -1)

Answers

Answer:

y=-5/2x+4

Step-by-step explanation:

find the slope by using y2-y1/x2-x1

-1-19/2-(-4)

simplify

-20/8

simplify

-5/2

use slope-intercept form, y=mx+b

since we know the slope, find b

plug in one of the ordered pairs into the equation

-1=(-5/2)(2)+b

simplify

-1= -10/2+b

simplify

-1=-5+b

add 5 to both sides

b=4

plug b into y=-5/2x+b

y=-5/2x+4

the answer would be.:answer- -5/2+4

11 The table below shows the amount of a decaying
radioactive substance that remained for selected
years after 1990.
0
2
5
9
14
17
19
Years After 1990 (X)
Amount (9)
750
451
219
84
25
12
8
Write an exponential regression equation for this
set of data, rounding all values to the nearest
x thousandth. Using this equation, determine the
amount of the substance that remained in 2002, to
the nearest integer

Answers

Answer:

65g52378

Step-by-step explanation:

The mean average of 4 numbers is 88 what is the fourth number if three of the numbers are 80 95 and 85?

Answers

Answer:the fourth number is =97

Step-by-step explanation:

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given

Let the fourth number be x

given that the mean of 4 numbers = 88 and only 3 numbers are given

such that

Mean = total number of the given numbers( x1 +x2+ x3....) /  numbers given becomes

88=  (80 +90 + 85 + x ) / 4

88 x 4 =80 +90 + 85 + x

352=255+x

x= 352-255

x=97

The table below lists the coordinates of four points. If x represents any number in any number in the first column, which expressions can always be used to find the value of y in the second column?

Answers

Answer:

2x + 3

Step-by-step explanation:

a polygon is a figure that curves
a)true
b)false
c)both a and b
d)incorrect
explain your answer:❤​

Answers

Answer:

I think that it would be true.

Step-by-step explanation:

I think it's true, because it has the union of three or more line segments whose endpoints meet.

Which expression is equivalent to 76a^2b^3/19ab

Answers

The expression 76a²b³ / 19ab is equivalent to the expression 4ab².

What is an equivalent expression?

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

The expression is given below.

⇒ 76a²b³ / 19ab

Then the expression can be written as

⇒ 4ab²

Then the expression 76a²b³ / 19ab is equivalent to the expression 4ab².

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