Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continues at this rate , what fraction of his homework would he complete in one hour ? A. 3/8 B. 2/3 C. 4/3 D. 3/2

Answers

Answer 1

Given:

Total number of problems = 24

Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]

Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]

                                                [tex]=\dfrac{1}{3}[/tex]

Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.


Related Questions

I will give Brainlyest to the first person



A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?

Answers

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

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Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs ​$30. If their total cost is ​$90​, what is the cost of one month of gameplay?

Answers

Answer: $10

Step-by-step explanation:

Angie buys = 1 software package and 1month of gameplay.

Kenny buys = 1 software package and 2 months of game play.

Cost of each software package = $30. Total cost = ​$90​

The total cost is the addition of what Kenny and Angie bought. This will be:

(1 SF + 1 G) + (1 SF + 2 G) = 90

where,

SF = software package = 30

G = game

(1 SF + 1 G) + (1 SF + 2 G) = 90

30 + 1G + 30 + 2G = 90

60 + 3G = 90

3G = 90 - 60

3G = 30

G = 30/3

G = 10

One month of game play cost $10

What is the slope of the linear function?

Answers

Answer:

the slope is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given: 4y - 7x = 10; solve y

4y - 7x = 10; add 7x to both sides to isolate the 4y variable

4y = 7x + 10; now divide by 4

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{10}{4}[/tex]; reduce the fraction

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{5}{2}[/tex]; the slope is

Answer:

m= 7/4

Step-by-step explanation:

2 cartons of juice in the month of January. In the month of February, she drank twice as many cartons of juice as in
January. How many cartons of juice did she drink in February?

Answers

Answer:

She drank 4 cartons in February.

Step-by-step explanation:You multiply 2x2 because it doubles.

Which graph represents a proportional relationship?

Answers

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

GEW has angle measures given by m<=5x+6 m<=3x and m

Answers

Answer:

(D) 24°

Step-by-step explanation:

(5x + 6)° + (3x)° + (142 - 4x)° = 180°

5x + 6 + 3x + 142 - 4x = 180

4x + 148 = 180

4x = 32

x° = 8°

m∠E = 3×8° = 24°

a restaurant starts with 10 dozen pieces of cornbread.every order receives 2 piece of cornbread.At the end of their lunch rush,there are 28 pieces of cornbread left.How many orders did the restaurant take?


Twelve less than two-thirds a number is 48.What is the number?

Can you please help me with those two questions and don’t only do 1 if you don’t know the answer dont comment

Answers

Answer:

32 orders

Step-by-step explanation:

10 dozen = 120

120 - 28x2=28x2=56120 - 56=6464 divided by 2= 32

What is the factorization of x^2-4x+3?

Answers

Answer:

D. (x - 3)(x - 1)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 4x + 3

The factors of 3 that sum to -4 are -1 and -3.

So,

[tex] \longrightarrow [/tex] x² - x - 3x + 3

[tex] \longrightarrow [/tex] x(x - 1) - 3(x - 1)

[tex] \longrightarrow [/tex] (x - 3)(x - 1)

Help me solve this please

Substitute to solve

Brainliest for correct answer

Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

x=3/5 y=-2.5

Step-by-step explanation:

3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.

Solve for x. -6 = x – 35

Answers

Answer:

The answer is x=29

Step-by-step explanation:

-6 = x – 35

=-6+35=x-35+35

x=29

Answer:

41

Step-by-step explanation:

35- -6= 41

41-35=6

35-41=6

Please please with a cherry on top
if your dont like cherries then maybe a Oreo on top
and if you dont like Oreo's maybe then a Waffle on top
I dont know you choose but can you please help me answer this question
(Find X & Happy Thanksgiving)

Answers

The answer is no solution.

Explanation:
Because of pemdas, first, solve the parentheses. It becomes 4.2x + 3, as multiplying by 0.5 caused the same effect as if you were to divide by 2. Now if you look at the problem, it is just 4.2x - 3 = 4.2x + 3. Even though the symbols are different, they are still equal to eachother.

The function above models the height, y, in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second

Answers

Answer:

3.94 seconds

Step-by-step explanation:

h = - 16t² + 248

If stone is dropped, then h = 0

- 16t² + 248 = 0

t² = [tex]\frac{248}{16}[/tex]

t = ± [tex]\frac{2\sqrt{62} }{4}[/tex]

t < 0 is a solution of equation, but not a solution of the task

t = [tex]\frac{2\sqrt{62} }{4}[/tex] ≈ 3.94 seconds

Answer:

≈ 3.74 seconds

Step-by-step explanation:

Oops! The numbers I had to work with were "The function y = –16t2 + 224..."

The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?

Answers

Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.

Step-by-step explanation:

Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.

In linear equation y=mx+c, = rate of change of y with respect to x.

Here Coefficient of a = rate of change of C with respect to a.

i.e.  Coefficient of a =amount charged per acre in the park.

Hence,  The significance of the number 82.75 in the equation = amount charged per acre in the park.

On your last math quiz, you got 15
out of 20 questions correct. What is
your percentage of correct answers?

Answers

Answer: 75%

Step-by-step explanation: So 15/20 simplified is 3/4 and 3 divided by 4 equals 0.75. To convert a decimal to a percentage, you multiply 0.75 by 100 to get 75%.

WILL GIVE BRAINLIEST!!!!! Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y?

Answers

Answer:

x=3 y=-1

Step-by-step explanation:

2x+3y=3;y=8−3x

Rewrite

y=−3x+8 2x+3y=3

Step: Solvey=−3x+8 for y:

y=−3x+8

Step: Substitute−3x+8foryin2x+3y=3:

2x+3y=3

2x+3(−3x+8)=3

−7x+24=3(Simplify both sides of the equation)

−7x+24+−24=3+−24(Add -24 to both sides)

−7x=−21

−7  - 7

x=3 (Divide both sides by -7)

x=3

Step: Substitute3forxiny=−3x+8:

y=−3x+8

y=(−3)(3)+8

y=−1(Simplify both sides of the equation)

this might be confusing but you gotta study :)

Which physical property do the two rocks share?
A. Shininess
B. Color
C. State
D. Texture

Answers

Answer:

Step-by-step explanation:

State promise

The two rocks share the option C. State.

What are Physical Properties?

Physical properties are properties of a substance which does not involve any chemical composition or changes in the substance.

Examples are color, density, hardness, and so on.

Given are two rocks.

Clearly, from the picture, we can say that shininess is different. The first rock is more shining.

Clearly colors are also not same.

Regarding the state of both rocks, both rocks are solid. So they share the property of state.

Texture is also different for both. Second one is harder texture.

Hence the physical property that both rocks share is state.

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Write an equation of the line that passes through the points ( 4, 2), (0, -6) *

Answers

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

One form you can use for this purpose is ...

  (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Filling in the given point values, this is ...

  (0 -4)(y -2) = (-6 -2)(x -4)

  -4y +8 = -8x +32

Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.

  y -2 = 2x -8

This can be rearranged to any form you may like--or left as is.

  y = 2x -6 . . . . . slope-intercept form

Marsha recorded the time it took seven children of different ages to run one lap around the track.
Using the line of best fit, which is closest to the length of time it should take Marsha's 6 year old niece to
run one lap?
A. 190
B. 200
C. 205
D. 210

Answers

The answer is C. 205.
Answer: C

Reasoning: There is a 40s difference between the age of 4 and 8 meaning 6 most likely would be in the center of that, which also means it’d be about half of 40. So with that we subtract 20 from 225 and thus giving us the closest length of time it should take Marsha’s 6 year old niece to run one lap, 205s.

The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?

A. 25/91
B. 66/200
C. 91/200
D. 66/91

Answers

Answer:

C

Step-by-step explanation:

Marginal relative frequency for the people who do not like cantaloupe is 0.455

or

91/100

Answer:

C is correct

Step-by-step explanation:

Mr. Bearfield deposited $3,500 in a new investment account. -The investment pays 8% interest compounded annually on this account. -Mr. Bearfield did not make any additional deposits or withdrawals. What is the balance of the account at the end of three years?

Answers

Answer:

In 3 years, you will have $4,408.99

Step-by-step explanation:

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

which of the following is an arithmetic sequence with common difference 2
A. 1, -3, 5, -7, 9
B. 2, 4, 8, 16, 32
C. 10, 8, 6, 4, 2
D. 13, 15, 17, 19, 21

Answers

Answer:

C is the answer.

C has a common difference of "2"

Step-by-step explanation:

You could say that the word "difference" also means Subtraction, so in a simpler way of saying "The common difference of 2" you could say, "Which one of the following is subtracting by 2?"

PLEASE MARK BRAINLIEST

I would say C.10,8,6,4,2

There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?

Answers

Answer:answer is 387

Step-by-step explanation:ok got it

Answer:

There are 33 students in the class.

Step-by-step explanation:

Congruent Triangle Combination

Answers

Answer:

1) ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)

2) ΔABC ≅ ΔCDB by Side-Side-Side (SSS)

3) ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)

4) m∠Y = 53°

5) y = 3

6) ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)

7) ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)

8) ΔABC ≅ ΔADC by Side-Angle-Side (SSS)

Step-by-step explanation:

1) Side AC ≅ Side BD      [tex]{}[/tex]        given

Side BC ≅ Side BC      [tex]{}[/tex]            reflexive property

∠DBC ≅ ∠ACB                [tex]{}[/tex]        given

Therefore ΔABC ≅ ΔDBC by Side-Angle-Side (SAS)

2) Side AC ≅ Side BD      [tex]{}[/tex]        given

Side DC ≅ Side BA      [tex]{}[/tex]            given

Side BC ≅ Side BC      [tex]{}[/tex]            reflexive property

Therefore, ΔABC ≅ ΔCDB by Side-Side-Side (SSS)

3) ∠BAC ≅ ∠DEB                [tex]{}[/tex]        given

Side BC ≅ Side BD      [tex]{}[/tex]               given

∠ABC ≅ ∠DBE                [tex]{}[/tex]            vertically opposite angles

Therefore, ΔABC ≅ ΔDBE by Angle-Angle-Side (AAS)

4) ΔXYZ ≅ ΔABC                [tex]{}[/tex]        given

m∠A = 44°, and m∠C = 83°

m∠B = 180 - (44 + 83) = 53°                [tex]{}[/tex]   Sum of angles in a triangle

m∠Y = m∠B = 53°                [tex]{}[/tex]   Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

5) Given that Triangle GHK is congruent to Triangle TZK

GH ≅ XT, KG ≅ KT, and HK ≅ ZK by the definition of congruency

Therefore, GH = 4 = XT = 3y - 2

4 = 3y - 2

3y - 2 = 4

3y = 4 + 2 = 6

y = 6/2 = 3

y = 3

6) Side BC ≅ Side EC      [tex]{}[/tex]           given

Side AC ≅ Side DC      [tex]{}[/tex]              given

∠ACB ≅ ∠DCE                [tex]{}[/tex]            vertically opposite angles

Therefore, ΔABC ≅ ΔEDC by Side-Angle-Side (SAS)

7) ∠BAC ≅ ∠DAC                [tex]{}[/tex]        given

∠ADC ≅ ∠ABC                [tex]{}[/tex]            given

Side AC ≅ Side AC      [tex]{}[/tex]               reflexive property

Therefore, ΔABC ≅ ΔADC by Angle-Angle-Side (AAS)

8) Side AD ≅ Side BC      [tex]{}[/tex]           given

Side AC ≅ Side AC      [tex]{}[/tex]               reflexive property

Side AB ≅ Side DC      [tex]{}[/tex]                given that the included angle between the two legs side AD and side AC and side AC and side BC are both acute, the third sides side AB and side DC are equal

Therefore, ΔABC ≅ ΔADC by Side-Angle-Side (SSS)

Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.

.

Answers

Answer:

hope this helps

Step-by-step explanation:

9+6(10-7x)

9+60-42x

69-42x

When translating the point (3,5) 5 units up and 3 units to the left, we should get:

Answers

Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

Help please I will give Brainliest!!!!
Josiah invested $96,000 in an account paying an interest rate of 3.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $153,400?

Answers

The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.

What is simple interest?

Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.

The principal amount of money invested= $96,000

The rate of interest = 3.5%

The total interest on the principal amount = $153,400- $96,000 = $57,400

The time for this investment= ?

Using the formula for simple interest= p×T×R/100

57,400 = 96,000 ×T× 3.5 /100

Make T the subject of formula;

T = 57,400×100/96,000×3.5

T = 5740000/336000

T = 17 years (approximately)

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explain what it means to solve a system of equations

Answers

Answer:

um hope this helps :D

Step-by-step explanation:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I

What is a system of equations?

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.

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18 + 19x = 10x + 54
can someone help me with this

Answers

Answer:

The answer is X= 4.

NEED HELP ASAP
Given: (DE) is a midsegment of triangle ABC.

Find the value of x and y.

What is the length of (AC)?

Answers

Answer:

X=13. y=5 AC=20

Step-by-step explanation:

To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!

The length of AC from the diagram is 25

To get the value of x and y, we will use the similarity theorem of a triangle

BC = 2DE

x + 3 = 2(8)

x + 3 = 16

x = 16 - 3

x = 13

Hence BC = 16

From the given figure;

AE/DE = AC/BC

x-3/8 = (x-3+y+5)/x+3

10/8 = 15+y/13

130 = 8(15+y)

130 = 120 + y

y  = 10

Get the length of AC

AC = 13-3+10+5

AC = 25

Hence the length of AC from the diagram is 25

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Which of the following results in the expression 0.22 x 86?

Answers

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

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