Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *

Answers

Answer 1

Answer:

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Step-by-step explanation:

Given

[tex]Emily = \frac{5}{12}[/tex]

[tex]David = \frac{1}{2}[/tex]

Required

Determine the fraction left

The whole candy will be represented with 1:

So:

[tex]Emily + David + Fraction\ Left = 1[/tex]

This gives:

[tex]\frac{5}{12} + \frac{1}{2} + Fraction\ Left = 1[/tex]

Collect Like Terms

[tex]Fraction\ Left = 1 -\frac{5}{12} - \frac{1}{2}[/tex]

Take LCM

[tex]Fraction\ Left = \frac{12 - 5 - 6}{12}[/tex]

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Hence, the fraction left is 1/12


Related Questions

Find the equation of the line that is perpendicular to Y= -2/3x and contains the point (4,-8)

Answers

Answer:

Y=-3/5x

Step-by-step explanation:

Answer:

y = 3/2x -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

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

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x -14

Vanessa has 23 coins in nickels and dimes and has $1.50 in all. Which equation could
be used to find the number of
nickels, n?
A. 5n + 10 (23) = 1.50
B.5n + 10 (23 – n) = 1.50
C. 0.05%+0.10 (23 – 1) = 1.50
D. 0.05m+0.10 (m - 23) = 1.50

Answers

Answer:

a

Step-by-step explanation:

k=1/3 and k=3/2 which line would be steeper​

Answers

Answer:

k = 3/2

Step-by-step explanation:

assuming k is your slope

rise/run = y/x

k = 1/3 therefore, (3,1) is your (x,y) points

k=3/2 therefore, (2,3) is your (x,y) points

as you can see, you move 2 more units up on the y-axis with k =3/2. Therefore, it is steeper.

Nohhxhxhxhhshsjsieiejwnejei

what is the value of Z in degrees, in the figure shown? ​

Answers

The answer is 69.3
Step by step solution - just subtract

Answer: 69.2

Step-by-step explanation:

A) What are the coordinates of the image of vertex G after a reflection across the line y = x?


B) What is the rule when reflecting across the line y = x


Answers

Answer:

b. (-5, 4)

Step-by-step explanation:

edge2020

The subject of the formula below is y

y=4x+3

Rearrange the formula to make x the subject

Answers

Answer:

x = (y - 3)/4.

Step-by-step explanation:

y = 4x + 3

y - 3 = 4x

x = (y - 3)/4.

Step-by-step explanation:

y=4x+3

all divide by 3

4x=y/3

cross multiple

12x=y

divide both sides by 12

therefore, x is equal to y/12

Carly has some rope to mark off a rectangular area of grass for a field day game. The rectangle needs to be 6 feet wide. Which expression represents how much rope Carly needs if the rectangle is g feet long?

Answers

Answer:

B ) 2 g + 12

Step-by-step explanation:

Whats the answer to number 9?

Answers

Answer:

B and D

Step-by-step explanation:

Because only those two equations on the graphs are straight. and are increasing or decreasing in a constant pace.

What is ⅓ divided by ¼? Use the model if needed. Answer should be in simplest form. Explain your answer

Answers

Answer:

The answer to the expression in simplest form is:

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

Step-by-step explanation:

Given the function

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}[/tex]

solving to get the simplest form

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{1\cdot \:4}{3\cdot \:1}[/tex]

[tex]\mathrm{Apply\:rule}\:a\cdot 1=a[/tex]

[tex]=\frac{4}{3}[/tex]

Thus, the answer to the expression in simplest form is:

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

Which expressions are equivalent to the given complex number? 45 + 2i A. (2 + 8i) + 2(9 + 6i)(1 - i) B. (9 + 4i) + 2(4 + 7i)(1 - 2i) C. (13 + 4i) + 2(7 + 2i)(2 - i) D. (2 + 8i) + (30 - 6i) E. (9 + 4i) + (36 - 2i) F. (13 + 4i) + (32 - 6i)

Answers

The expressions which are equivalent to the complex number 45 + 2i is E. (9 + 4i) + (36 - 2i)

D. (2 + 8i) + (30 - 6i)

To determine which expressions are equivalent to the complex number 45 + 2i, we can simplify each expression and check if it matches the given number.

Let's evaluate each option:

A. (2 + 8i) + 2(9 + 6i)(1 - i) = 2 + 8i + 2(9 + 6i - 9i - 6i^2) = 2 + 8i + 2(9 + 6i - 9i + 6) = 2 + 8i + 2(15 - 3i) = 2 + 8i + 30 - 6i = 32 + 2i

B. (9 + 4i) + 2(4 + 7i)(1 - 2i) = 9 + 4i + 2(4 + 7i - 8i - 14i^2) = 9 + 4i + 2(4 + 7i - 8i + 14) = 9 + 4i + 2(23 - i) = 9 + 4i + 46 - 2i = 55 + 2i

C. (13 + 4i) + 2(7 + 2i)(2 - i) = 13 + 4i + 2(7 + 2i - 14i - 4i^2) = 13 + 4i + 2(7 + 2i - 14i + 4) = 13 + 4i + 2(24 - 12i) = 13 + 4i + 48 - 24i = 61 - 20i

D. (2 + 8i) + (30 - 6i) = 2 + 8i + 30 - 6i = 32 + 2i

E. (9 + 4i) + (36 - 2i) = 9 + 4i + 36 - 2i = 45 + 2i

F. (13 + 4i) + (32 - 6i) = 13 + 4i + 32 - 6i = 45 - 2i

From the evaluations above, we can see that options E and D are equivalent to the given complex number 45 + 2i.

The correct options are:

E. (9 + 4i) + (36 - 2i)

D. (2 + 8i) + (30 - 6i)

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The  expressions that are equivalent to the given complex number 45 + 2i are: (9 + 4i) + (36 - 2i) and (2 + 8i) + (30 - 6i).

Thus, option (D) and (E) are correct.

Given complex number 45 + 2i.

A. (2 + 8i) + 2(9 + 6i)(1 - i)

Simplifying: (2 + 8i) + 2(9 + 6i - 9i - 6)

= (2 + 8i) + 2(3 + 3i)

= 2 + 8i + 6 + 6i

= 8 + 14i

B. (9 + 4i) + 2(4 + 7i)(1 - 2i)

Simplifying: (9 + 4i) + 2(4 + 7i - 8i - 14)

= (9 + 4i) + 2(-10 - i)

= 9 + 4i - 20 - 2i

= -11 + 2i

C. (13 + 4i) + 2(7 + 2i)(2 - i)

Simplifying: (13 + 4i) + 2(14 + 4i - 7i - 2)

= (13 + 4i) + 2(12 - 3i)

= 13 + 4i + 24 - 6i

= 37 - 2i

D. (2 + 8i) + (30 - 6i)

Simplifying: 2 + 8i + 30 - 6i

= 32 + 2i

E. (9 + 4i) + (36 - 2i)

Simplifying: 9 + 4i + 36 - 2i

= 45 + 2i

F. (13 + 4i) + (32 - 6i)

Simplifying: 13 + 4i + 32 - 6i

= 45 - 2i

Thus, option (D) and (E) are correct.

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A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??

Answers

Answer:

Amount earned = $151,113

Step-by-step explanation:

Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;

We proceed as follows; we have the following;

1. Annual salary of $75,000

2. 2.35% on approved loans.

Approved loans = 2.8 million

Commission = 2.35/100 * 2.8 million = $65,800

3. $3.75 for each processed loan application

Total = 2750

Amount = 3.75 * 2750 = $10,312.50

Total amount earned is thus;

$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar

Whats the answer for number 3?

Answers

Answer:

B. There are no discounts or charges per month.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

A backpack is on sale for 30% off. If the sale price is $15.75, what is the original price to the nearest cent?

Answers

Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.

A bag has 7 red marbles, 8 blue marbles and 5 purple marbles

Answers

20 marbles

7+8+5=20
Uhh lmk

Answer:

you didnt put anything like the full question but it equals 20

Step-by-step explanation:

so yea 2000

Your car has 10 gallons of gas. You use 1 gallon every 20 miles you travel. Fill in the table.

Answers

Answer:

(0, 0), (20, 1), (40, 2), (60, 3), (80, 4)

Step-by-step explanation:

0
1
2
3
4

These are the numbers you are looking for.

A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.

Which inequality represents the number of bags of chips,x, the teacher can purchase?​

Answers

It would be y=2.95x+36

An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].

Let the number of bags of chips be x.

Given the following data:

Total amount spent = $36Cost of each bag of chips = $2.95

To write an inequality that represents the number of bags of chips, x, the teacher can purchase:

In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.

Translating the word problem into an algebraic expression, we have;

[tex]2.95x \leq 36[/tex]

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from the diagram, identify a pair of corresponding angles

i need helppp!

Answers

Answer:

2 and 6, 1 and 5

Step-by-step explanation:

Answer:

1&5

Step-by-step explanation:

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Answers

Lnockfousoudoucojvpufyx

Is there anything needed for this question? I'm not willing to take "free points"

Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3

Answers

Answer:

c

Step-by-step explanation:

16-4=12

7+6=11

The false statement is;

C. 16 - 4 = 7 + 6

Given that;

The mathematical expression is;

A. 16 + 3 = 11 + 8

B. 16 = 16

C. 16 - 4 = 7 + 6

D. 16 = 19 - 3

We have to state the false statement.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The mathematical expression is;

A. 16 + 3 = 11 + 8

Left hand side,

16 + 3 = 19

Right hand side,

11 + 8 = 9

Left hand side = Right hand side

Hence, This is true.

B. 16 = 16

Left hand side = Right hand side

Hence, This is true.

C. 16 - 4 = 7 + 6

Left hand side;

16 - 4 = 12

Right hand side,

7 + 6 = 13

Hence, This is false.

D. 16 = 19 - 3

Left hand side;

16

Right hand side,

19 - 3 = 16

Left hand side = Right hand side

Hence, This is true.

Therefore, The false statement is;

C. 16 - 4 = 7 + 6

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The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, how much will the field trip cost?

Answers

Answer:

Total trip cost = $2,158

Step-by-step explanation:

Given:

Cost of each ticket = $26

Number of student = 83

Find:

Total trip cost

Computation:

Total trip cost = Cost of each ticket x Number of student

Total trip cost = $26 x 83

Total trip cost = $2,158

6.
Solve the equation *x + 3 ={x +3

Answers

Answer:

x=4

Step-by-step explanation:

well the answer for the photo is 5/2

Find the slope that passes through (-1, -3) and (-2, 2).
A
-5
С
-2
B
-1/5
D
1/3

Answers

Answer:

A.-5

Step-by-step explanation:

I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.

PLEASAE MARK BRAINLIEST

eeeeeeeeeeeeeeeeeeeeeeeeeva fast answer

Answers

Answer:

51

Step-by-step explanation:

find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other

Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?

Answers

Answer:

The distance from vertex B to the midpoint of AC is 3 units

Step-by-step explanation:

we are given a triangle with vertices  A (1,-3), B (3,0) and C (5,-3).

Mid point of of AC  (x,y) =  ( 1+5/2 , -3 -3/2)

                                     = ( 6/2 , -6/2)

                                     = (3 , -3)

Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

                              = [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]

                               = [tex]\sqrt{(3)^2}[/tex]

                                = 3 units

3x^2−18x+12=0 by completing the square

Answers

Answer:

mark me brailist if it helped

Solve for y, Angle Q and Angle S

Answers

Answer:

hope

Step-by-step explanation:

The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?

Answers

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

what is the number if 50% of 25% of the number is 96

Answers

Let n = the number we need to find.

0.50(0.25)n = 96

0.125n = 96

Can you finish?

The number if 50% of 25% of the number is 96 is 768

Let the unknown number be x

50% of 25% of the number is expressed as 0.5(0.25)x

0.5(0.25)x = 0.125x

Equating the result to 96 will give;

0.125x = 96

Divide both sides by 0.125

0.125x/0.125 = 96/0.125

x = 96/0.125

x = 768

Hence the number if 50% of 25% of the number is 96 is 768

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Michelle ran 3,168 meters at a constant speed over 11 minutes. What was Michelle's pace?
A.
288 meters per minute
B.
864 meters per minute
C.
290 meters per minute
D.
11 meters per minute

Answers

3,168/11 = 288
The correct answer is A
The answer is "A. 288 meters per minute"

You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?

Answers

Answer:

4 hours

Step-by-step explanation:

120 ÷ 30 = 4

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