Dracula has 48 pieces of candy. He gave ⅓ of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?

Answers

Answer 1

Answer:

Dracula will be left with 24 candies

Step-by-step explanation:

The given problem is of fractions and percentages.

Given that

Total pieces of candy = 48

Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.

[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]

Dracula will be left with:

[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]

Dracula will be left with 32 candies after giving one third to his friend.

Now he gives 25% of remaining to his cousin

So,

[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]

Dracula will be left with: 32-8 = 24 candies

Hence,

Dracula will be left with 24 candies


Related Questions

use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=

Answers

Answer:

The solution of the given equation is    x = 105 °∈ ( 0 , 2pi)

Step-by-step explanation:

Step(i):-

Given equation is sin x cos x = -1/4

                           [tex]2(2sinxcosx) = -1[/tex]

we know that trigonometry formula

                             2 sin x  cos x = sin 2x

                            2 ( sin 2 x) = -1

                                sin2x = -1/2

Step(ii):-

                            sin2x =    [tex]\frac{-1}{2} = sin (\pi +\frac{\pi}{6}[/tex]

                 sin2x = sin 210                       2x = 7π/6                       2x = 210°                                x = 105 °The solution of the given equation is    x = 105 °∈ ( 0 , 2pi)

-4q= 52
HELP!!!!!!!!!!!!!!!!!!!!!
Algebra 1

Answers

hi

-4q= 52

   q = 52/ -4

    a =  -13

Answer:

-13

Step-by-step explanation:

-4q=52

divide both side by -4

-4q/-4=52/-4

q=-13

What is the slops of the line passing through (-1, 2) and (-3, -2)? PPPPLLLZZZ HELP!!!!
A. 2
B. -1/2
C. 1/2
D. -2

Answers

Answer:

A. 2

Step-by-step explanation:

Count the steps to get to the both points.

From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.

Rise ÷ Run = 4 ÷ 2 = 2

Answer:

I think it's D

Step-by-step explanation:

because it's same to another one so D only

The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla.

Answers

Answer:
58:28

Step-by-step explanation:
simplified its 29:14!

Can some please help me with this one it would be much appreciated

Answers

πAnswer:

Therefore, the area of a sector of a circle would be 13.5π square units.              

Step-by-step explanation:

Given

[tex]r=9[/tex] miФ = 60°

The area of a sector of a circle is:

A = π r² Ф/360

A = π (9)² 60/360

A = π 81 * 1/6

A = 13.5π square units

Therefore, the area of a sector of a circle would be 13.5π square units.                        

PLEASE HELP. use the information provided to write the equation of each circle . i will give brainliest!

Answers

Answer: 16. C  17. A  18. A  

19  You got this! There is only one answer with the correct radius squared!

Step-by-step explanation:

For the coordinates of the center, flip the signs in the parentheses.

For the "=output": in the equation, square the given radius.

Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.

Radius given: 2  Square it to get the =4

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How many students said they feel more focused after exercising? 380 570 760 930

Answers

Answer:

760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.

Answers

Answer:

h = 9.99in

Step-by-step explanation:

...

This is for someone that i was suppost to give brainliest to lol

Answers

Answer:

ok does that mean me dont get brainliest

Step-by-step explanation:

complete the sequence:1,1,2,3,5,_,_,_

Answers

Answer:

8,13,21

Step-by-step explanation:

Basically,add the previous number to next number

Answer:8,13,21

Step-by-step explanation:

Given g(x)=−x−4, find g(5)

Answers

Answer:

-9

Step-by-step explanation:

Plug it in

g(x)=-x-4

g(5) meaning that x=5

Thus,

-5-4=-9

Hope it find it helpful :)

Answer:

-1

Step-by-step explanation:

Given g(x) = -x + 4, find g(5)

g(x) = -x+4

g(5) = -(5) + 4          Plug input into x

-5 + 4                       Negate

-1                              Add

The slope of the line is ?

Answers

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.

Answers

Answer:

The system of equations is x + y = 12 and 2x + 1.5y = 20

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

Step-by-step explanation:

Assume that they bringing x packages of hamburger y packages of hotdog

∵ x represents the number of packages of hamburger

∵ y represents the number of packages of hotdog

∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns

x + y = 12 ⇒ (1)

∵ The hamburger buns cost $2.00 per package

∵ The hot-dog buns cost $1.50 per package

∵ They spent $20 on the buns

2x + 1.5y = 20 ⇒ (2)

The system of equations is x + y = 12 and 2x + 1.5y = 20

Let us solve it to find x and y

→ Multiply equation (1) by -1.5 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -1.5(x) + -1.5(y) = -1.5(12)

-1.5x - 1.5y = -18 ⇒ (3)

→ Add equations (2) and (3)

∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)

∴ 0.5x = 2

→ Divide both sides by 0.5 to find x

x = 4

→ Substitute the value of x in equation (1) or (2) to find y

∵ 4 + y = 12

→ Subtract 4 from both sides

∴ 4 - 4 + y = 12 - 4

y = 8

The number of packages of the hamburger is 4

The number of packages of the hotdog is 8

The square shown has sides of length 6z^7 decimeters. Find it’s area

Answers

Answer:

49z^10 dm^2

Step-by-step explanation:

I feel it could be AAS since both angles could be alternate interior but it could also be SAS so could someone help please?

Answers

Answer: D) Side-Angle-Side  (SAS)

Check out the diagram below. Note the color coding to see how the angles and sides correspond to the given information. We aren't given RT = RT, but we use the reflexive property in this case. The angles are between the sides so we use SAS.

We don't have enough information to determine anything about the other angles, so we cannot use AAS or ASA. Also, recall that SSA is not a valid congruence theorem. Luckily the angle is between the sides so we don't have to worry about SSA.

please help will give brainlyest again

Answers

Answer:

8

_

12 I think

that's it it you can cross multiple it will be 7/10

To find 7% of a total you can multiply the total by
(1) 7 (3)
(2) 0.7
(3) 7/10
(4) 0.07

Answers

2.
You make 7% into a decimal and then multiply the total by 0.7

Find the circumference of a circle whose
area is 49pi sq units.​

Answers

Answer: C=2πr

r Radius

Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4

Answers

Answer:

A

Step-by-step explanation:

[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]

x+2=0

x+2-2=0-2

x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2

x-4=0

x-4+4=0+4

x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1

x+1=0

x+1-1=0-1

x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3

The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.

What are the roots of an equation?

The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

As per the given function,

f(x) = (x + 2)²(x - 4)(x + 1)³

The roots are the points at which the value of the function is zero.

f(x) = 0

(x + 2)²(x - 4)(x + 1)³ = 0

(x + 2)² = 0

x = -2 (with a multiplicity of 2)

(x - 4) = 0

x = 4  (with a multiplicity of 1)

(x + 1)³ = 0

x = -1  (with a multiplicity of 3)

Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".

To learn more about the roots of equations,

https://brainly.com/question/12029673

#SPJ6

A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes did the food truck use yesterday? What was the total amount of money they made from selling dinners?

Answers

Answer:

$1584

Step-by-step explanation:

My first answer got deleted because it was incomplete or something.

Just multiply 6x24x11 and you'll get the answer.

What is the maximum for: P = 3x + 2y

Answers

Answer:

The maximum value of the function P= 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)

Point A is found in x = 8 ; y = 0 or (8,0)

Point B is found in x = 6 ; y = 5 or (6,5)

Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.

Point A = 3(8) + 2(0) = 24 + 0 = 24

Point B = 3(6) + 2(5) = 18 + 10 = 28

Point C = 3(0) + 2(8) = 0 + 16 = 16

Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

Answers

Answer:

2x + 2y ≤ 20

x + 3y ≤ 2

Step-by-step explanation:

this is the correct answer i got on my assignment-------

The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20

and 3x + 2y ≤ 21.

What are inequalities?

The relation between two expressions that are not equal, employing a sign such as not equal to’, >greater than’, or < less than’.

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows; batches of brownies = x and batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

x + 2y ≤ 20

Cookie:

Sugar = 3 cups

Eggs = 2

3x + 2y ≤ 21

To learn more about inequality visit:

brainly.com/question/25275758

#SPJ2

Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?

what is principal in simple intrest​

Answers

You have to pay extra money when you pay it back after you borrow it.So interest is: the amount of money you pay back on top of the original money you borrowed. The meaning of the word principal is: the original amount of money you borrowed.

IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135

Answers

Answer:

0.01

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score = 135

μ is the population mean = 100

σ is the population standard deviation = 15

z = 135 - 100/15

z = 2.33333

P-value from Z-Table:

P(x<135) = 0.99018

P(x>135) = 1 - P(x<135)

P(x > 135) = 1 - 0.99018

= 0.0098153

Approximately to 2 decimal places

= 0.01

Therefore, the proportion of the population for the following IQ score of 135 is 0.01

What is the answer for 2/5x5/8 ?

Answers

It would be 1/4 because you would change them to a common denominator then simply them and you get 1/4

List the transformations of the function. *
5 points
f(x)= (1/2(- 1/4(x-3))+1

Answers

Answer:

Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :

vertical compressionhorizontal stretchreflection across y-axistranslates righttranslates up

What is the value of the expression 3/19 7/2

Answers

Answer:

It is 2/15

Step-by-step explanation:

[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]

Dont know if this helps but here you go :)

f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1

Answers

look it up lol thats what i di

Help me pleaseeeee:(((

Answers

Answer:

1.25

Step-by-step explanation:

if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .

Answer:

$62.50

Step-by-step explanation:

Proportions:

$7.50 ⇔ 6ft

$R ⇔ 50ft

R = 7.5*50/6

R = $62.5

If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is
f(b) − f(a)/b − a
and the velocity at t = c is f '(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. For instance, if a car traveled 150 km in 2 hours, then the speedometer must have read km/h at least once.
In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.

Answers

Answer:

75 km/hr

Step-by-step explanation:

So, if a car travels 150 km in 2hours.

Then;

f(t=0) = 0

f(t = 2 hours) = 150 km

Therefore;

f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)

f'(c) (speedometer reading) = 150/2  km/hr

f'(c) (speedometer reading) = 75 km/hr

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