a) The fraction of chocolate distributed is given as follows: 4/3.
b) The fraction of chocolates left with Paul is given as follows: 8/3.
How to obtain the fractions?The fractions are obtained applying the proportions used in the context of this problem.
He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:
4 x 1/3 = 4/3.
(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).
The total number of bars that Paul had initially is given as follows:
4 bars.
Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:
4 - 4/3 = 12/3 - 4/3 = 8/3 bars.
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Please screenshot and write the answer on the photo.
1] Answer: y = -[tex]\frac{1}{2}[/tex]x + 3
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of -2/4. This simplifies to -1/2.
➜ The line intercepts the y-axis at 3.
2] Answer: y = 3x
Step-by-step explanation:
➜ This line is going down from the bottom left to the top right, so it will have a positive slope.
➜ Using rise over run, we get a slope of 3/1. This simplifies to 3.
➜ The line intercepts the y-axis at 0.
3] Answer: y = x - 4
Step-by-step explanation:
➜ This line is going down from the top left to the bottom right, so it will have a negative slope.
➜ Using rise over run, we get a slope of 2/2. This simplifies to 1.
➜ The line intercepts the y-axis at -4.
1) What is the probability that a student prefers comedy, given that the student is in 10th grade?
2) What is the probability that a student prefers comedy, given that the student is in 12th grade?
3) What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/3
3/10
6/8 or 3/4
Step-by-step explanation:
The probabilities of the condition are 0.3333, 0.30, and 0.75.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the probability that a student prefers comedy, given that the student is in 10th grade, will be
Total event = 9
Favorable event = 3
Then the probability will be
P = 3 / 9
P = 0.3333
Then the probability that a student prefers comedy, given that the student is in 12th grade, will be
Total event = 10
Favorable event = 3
Then the probability will be
P = 3 / 10
P = 0.30
Then the probability that a student does not prefer action, given that the student is in 9th grade will be
Total event = 8
Favorable event = 6
Then the probability will be
P = 6 / 8
P = 0.75
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In 2014 a company had a profit of $420000. In 2019 it reported a profit of $1400000.
Find the average rate of change of its profit for that period, expressed in dollars per year.
I need help, and I forgot how to do this
Answer: 5. 2x+8 6. 5(x-9) 7. -3x+-21
Step-by-step explanation: Multiply the number outside the parenthesis by everything inside it
please explain step by step in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
x=120°
y=70°
Step-by-step explanation:
solution,
y=70°(alternate angles)
x=120°(corresponding angles)
In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?(WITH FULL PROCESS)
sean and morgan walked from the same location sean walked 5 1/2 blocks north and 3 1/4 blocks east morgan walked 3 1/4 blocks east and 4 1/2 blocks south how many blocks apart are sean and morgan
Answer:
10
Step-by-step explanation:
5 1/2 + 4 1/2 = 10
What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)?
Question 10 options:
A)
(16, –5)
B)
(16, –7)
C)
(2, –3)
D)
(9, –7)
simplify the radical of 200 squared
Answer:
The answer is 10√2.
Step-by-step explanation:
What does 2 1/3 + 1 1/5 + 1 1/5 =?
Answer:
[tex]6\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}[/tex] equals to [tex]\frac{7}{3}[/tex]
[tex]\frac{11}{5}+\frac{11}{5}=\frac{22}{5}[/tex]
but the denominator is not the same in [tex]\frac{7}{3}[/tex] and [tex]\frac{22}{5}[/tex]. So you would need to find the LCM for 3 and 5. The LCM for 3 and 5 is 15.
[tex]\frac{7}{3}*\frac{5}{5} =\frac{35}{15}[/tex]
[tex]\frac{22}{5}*\frac{3}{3} =\frac{66}{15}[/tex]
[tex]\frac{35}{15} +\frac{66}{15} =\frac{101}{15}[/tex]
[tex]\frac{101}{15} =6\frac{11}{15}[/tex]
how fast are you going if you run 12 kilometers in 2 hours
Answer:
3.73 miles per hour
Step-by-step explanation:
12 Kilometers is 7.46 miles.
7.46/2 = 3.73 Miles per hour
Michael bakes a soft pretzel and a loaf of bread. Use the system of equations to find c, the amount of flour, in cups, needed for the soft pretzel, and b, the amount of flour, in cups, needed for the loaf of bread. Show your work.
b = 24c
(1/4)b + 4c = 5/4
The amount of flour needed for soft pretzel is c = 1/8 and the amount of flour needed for the loaf of bread is b = 3.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given system of equations,
b = 24 c and
[tex]\frac{1}{4}[/tex] b + 4c = [tex]\frac{5}{4}[/tex]
Substitute b = 24 c in the second equation.
[tex]\frac{1}{4}[/tex] (24 c) + 4c = [tex]\frac{5}{4}[/tex]
6c + 4c = [tex]\frac{5}{4}[/tex]
10 c = [tex]\frac{5}{4}[/tex]
c = [tex]\frac{5}{4}[/tex] × [tex]\frac{1}{10}[/tex] = [tex]\frac{1}{8}[/tex]
b = 24c = 24 / 8 = 3
Hence c = 1/8 and b = 3 in cups.
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Please Click The Screenshot.
Answer:
Step-by-step explanation:
70%=0.7
90 X 0.7 = 63
ANSWER IS 63
Pls need help!!!! Giving brainliest to the person that gives me the right awnser
Answer:
you only have the answer choices not the question itself
could you please attach the question so i can help?
Can y’all help me on question 18?!
Answer:
B
Step-by-step explanation:
16 - 7 = 9
Answer:
m=7
Step-by-step explanation:
what is the surface area of a cube with a side length of 3/4 inch? Use the expression 6s squared, where s is the side length of the cube.
Answer:
The volume of a cube is the side length cubed.
V = s x s x s where s is the length of the side = s x s^2 = 6s^2 so s must be 6.
The side length is 6 ,
Therefore the surface area is 6 times the area of each side = 6 x 6^2 = 6 x 36
= 108 square units
2. Solve for x. Show your work.
45x 4 = 642x+12
The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
4(5x - 4) = 64(2x + 12)
20x - 16 = 128x + 768
20x - 128x = 768 + 16
-108x = 784
x = -7.25
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Ashley and Saskia each think of a number.
1 less than Ashley's number is equal to 3 lots of Saskia's number.
4 lots of Ashley's number added to Saskia's number is 95.
Using the information above, write and solve two simultaneous equations to work out Ashley's and Saskia's numbers.
Based on the the information provided above, Ashley's and Saskia's numbers are equal to 22 and 7 respectively.
How to work out Ashley's and Saskia's numbers?In order to write a system of equations to describe this situation, we would assign variables to Ashley's number and Saskia's number respectively, and then translate the word problem into an algebraic equation as follows:
Let the variable x represent Ashley's number.Let the variable y represent Saskia's number.Translating the word problem into an algebraic equation, we have the following:
x - 1 = 3y .....equation 1.
4x + y = 95 .......equation 2.
Making x the subject of formula in equation 1, we have:
x = 3y + 1 .......equation 3.
Substituting equation 3 into equation 2, we have:
4(3y + 1) + y = 95
12y + 4 + y = 95
13y = 95 - 4
13y = 91
y = 91/13
y = 7.
For the value of x, we have:
x = 3y + 1
x = 3(7) + 1
x = 21 + 1
x =22.
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What is 90 divided by 1/3 as a fraction?
Answer:
270/1
Step-by-step explanation:
Here is 90 divided by 1/3 displayed mathematically in colors:
90 ÷ 1/3
The numbers in 90 divided by 1/3 are labeled below:
90 = whole number
1 = numerator
3 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
90x3/1 = 270/1
Answer: 270/1
Step-by-step explanation:
90/1*1/3 you have to do the reciprocal so it turns to 90/1*3/1= 270/1
Use sin to solve for c please help
Answer:
sin 66 = C/15 or C = 15sin66 = 13.7
The function h(t) = - 16t2 + 48t + 160 can be used to model the height, in feet, of an object t
seconds after it is launched from the top of a building that is 160 feet tall.
Two other forms of the function are:
h(t) = -16(t - 5)(t+2)
h(t) = -16(t-1.5)2 +196
Which value of the function represents the maximum height of the object?
A h(0)
B. h(1.5)
C. h(2)
D. h(5)
Answer:
answer is c because you have to put in the 2 and get -16
Calculate the volume of this cylinder, giving your answer to 1 decimal place.
14 cm ( diameter )
12 cm ( height )
22/7×14×14×12
the answer is 7392
Someone plz help me!..
1. What is the volume of this prism?
A.36
B.63
C.16
D.54
Answer:D
Step-by-step explanation:
What is the probability of picking a month at random that starts with the letter “J”
Answer:
A 1 in 4 chance or a probability of 0.25
Step-by-step explanation:
There is only 3 months that start with J and 12 months in a year so simplify 3/12 you get 1/4 or 0.25
The axis of the sphere below is 12 units in length. What is the surface area of
the sphere?
A. 256 units2
B. 72 units
C. 144 units2
D. Cannot be determined
The surface area of the sphere is 144π square units.
What is a sphere?"A sphere is a three-dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere".
For the given situation,
The axis of the sphere = 12 units
The axis is the diameter of the sphere.
The radius of the sphere, r = d/2
⇒ [tex]r=\frac{12}{2}[/tex]
⇒ [tex]r=6 units[/tex]
The formula for the surface area of the sphere, A = [tex]4\pi r^{2}[/tex]
[tex]A = 4\pi( 6)^{2} \\[/tex]
⇒ [tex]A=144\pi[/tex]
Hence we can conclude that the surface area of the sphere is 144π square units.
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HELP PLEASE NEED HELP ASAP
Answer:
+6
Step-by-step explanation:
Each interval has a difference of 6
Using the scale drawing shown in the image find the actual length of the truck
The actual length of the modeled truck is 20.4 feet.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A model diagram of a truck and each gridline represent 1 cm distance.
Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.
Also given that 1 cm is equal to 1.7 feet.
Therefore, The actual length of the truck is (1.7×12) feet.
= 20.4 feet.
So, the length of the truck is 20.4 feet.
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21. Find the volume of the water in the container in liters. (1 liter = 1000 cm3)
The volume of the water is
____ liters.
Answer:
volume of water in the container
30×10×8
2400cm³=2400ml=2.4liters
( since water is filled up to a height of 8 cm )
Solution :[tex] \large\boxed{ \mathrm{volume = l \times b \times h}} [/tex]
[tex]30 \times 10 \times 8[/tex][tex]\mathrm{2400 \: cm {}^{3} }[/tex]_____________________________
Since, 1000 cm³ = 1 litre
[tex]\mathrm{1 \: cm {}^{3} = \dfrac{1}{1000} }l[/tex][tex]\mathrm{2400 \: cm {}^{3} = \dfrac{1}{1000} \times 2400 } \: l[/tex][tex]\mathrm{2400 \: cm {}^{3} =2.4 \: \: litres} [/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X. What is the measure of each angle?
The measure of each angle X and Y are x = 32 degrees and y = 58 degrees
How to determine the measure of each angleFrom the question, we have the following parameters that can be used in our computation:
Angle X and angle Y are complementary angles. The measure of angle Y is 6 less than twice the measure of angle X.The above statements mean that
x + y = 90
y = 2x - 6
Substitute the known values in the above equation, so, we have the following representation
x + 2x - 6 = 90
Evaluate the like terms
3x = 96
Divide both sides by 3
x = 32
Substitute x = 32 in the equation y = 2x - 6
y = 2 * 32 - 6
Evaluate the equation
y = 58
Hence, the measure of the angle y is 58 degrees
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