John gives 2/3 of his pencils, P, to Roy and then gives 1/4 of the pencils that he has left to Maria. In terms of P, how many pencils does john now have

a. 1/6

b. 1/3

c. 1/4

Answers

Answer 1

Answer:

C. 1/4

Step-by-step explanation:

Since John has given 2/3 of his pencils to Roy, he has 1/3 of the total left. To find 1/4 of 1/3, multiply the numbers. 1/4(1/3) = 1/12. This means that he gave 1/12 of the beginning total to Maria. 2/3 can also be written as 8/12, and 1 can be written as 12/12. 12/12 - 8/12 = 4/12, and then 4/12 - 1/12 = 3/12. 3/12 can be simplified into 1/4

Answer 2

Answer:

John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

Step-by-step explanation:

Let 'p' be the total number of pencils

Given that John gives 2/3 of his pencils = 2/3 of p

                                                                   = 2/3 × p

                                                                    = 2/3 p

Pencils left:

[tex]p-\frac{2}{3}p[/tex]

Factor out common term p

[tex]p-\frac{2}{3}p=p\left(1-\frac{2}{3}\right)[/tex]

           [tex]=\frac{1}{3}p[/tex]

           [tex]=\frac{p}{3}[/tex]

Pencils John gave to Maria = 1/4 × p/3 = p/12

The remaining Pencils in terms of 'p' = [tex]\frac{p}{3}-\frac{p}{12}[/tex]

                                                              [tex]=\frac{3p}{12}[/tex]

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

Thus, John's remaining pencils in term of p = p/4

Hence, option 'c' is true.

                                                 


Related Questions

0.15(y-0.2)=2-0.5(1-y)

Answers

Answer:25

Step-by-step explanation:

it 25 bc if u add them and then subtract then u get 25

You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?

Answers

27/.6=45 total in collection
45-27=18
18/3 per week=6 weeks

Mr. Verrengia bought some math supplies at the local math depot. He
doesn’t remember how much money the items cost, but knows that
the 5% sales tax came to $1.25. How much money did he spend on the
math supplies before tax?
I need to know quick!

Answers

Answer:

6.25

Step-by-step explanation:

What is the domain of the square root function graphed below?

On a coordinate plane, a curve opens down to the right and goes through quadrants 1 and 2. The curve starts at (negative 4, 0) and goes through (negative 3, 1) and (0, 2).
x greater-than-or-equal-to negative 4
x greater-than negative 4
x greater-than-or-equal-to 0
x greater-than 0

Answers

Answer:

x greater-than-or-equal-to negative 4

Answer:

X is equal to or greater than four

Step-by-step explanation:

I got it right!!! hopefully you do too

Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75

$203.65

$124.50

$307.40


Answers

Answer:

The new balance in Sean's account is $203.65

Step-by-step explanation:

The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.  

The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5

The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:

Final balance = $328.15 - $124.5 = $203.65

The new balance in Sean's account is $203.65

Camille is getting older and feels like she should donate her collection of
stuffed animals to children who are less fortunate. She has 45 stuffed
cats and 18 stuffed dogs, which she wants to divide into identical groups
with no stuffed animals left over. What is the greatest number of groups
Camille can place her stuffed animals into? *
Plz help ASAP

Answers

Answer:

Answer is in photo

Step-by-step explanation:

Select the correct answer. if f(x) = ​

Answers

Answer:

A is the correcy asnwer

Step-by-step explanation:

Answer:

C. y = - f(x) - 3

Step-by-step explanation:

Given parent function:

f(x) = √x

The graphed is reflection of the parent function over x-axis and translated 3 units down. This is:

y = - f(x) - 3

Correct option is C

Find the gradients of lines A and B

Answers

Step-by-step explanation:

[tex]the \: gradient \: of \: line \: a \: is[/tex]

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

[tex]the \: gradient \: of \: line \: b \: is[/tex]

[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]

Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

What is gradients?

" Gradients is defined as the ratio of difference of y-coordinates  to the difference of x-coordinates."

Formula used

Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]

According to the question,

Given from the graph,

Coordinates of Line A

[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]

Substitute the value in the formula we get,

Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]

                              [tex]= 4[/tex]

Coordinates of Line B

[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]

Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]

                              [tex]= -2[/tex]

Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].

Learn more about gradients here

https://brainly.com/question/13020257

#SPJ2

Great things great things

Answers

Answer:

Heeeheeeeheee

Step-by-step explanation:

So right

pls answer if you can i need the answer right away

Answers

Answer:

What’s the question?

Step-by-step explanation:

??? where’s the question

In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n

Answers

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

Exercises that are _________ in nature are those that make your muscles use oxygen to perform

a) Aerobi

b) Anaerobic​

Answers

Answer:

Aerobic

Step-by-step explanation:

Oxygen = aerobic

no oxygen = anaerobic

aerobic since its using oxygen

Which of the following statements about tornadoes is true

Answers

Answer:

I think the second one and the last one

Step-by-step explanation:

please mark me as brainliest thank you

Answer:

D.) Most tornadoes have wind speeds greater than 105 kph

Step-by-step explanation:

took the quiz

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

Pythagorean theorem. 24^2+b^2=25^2

Simplify

576+b^2=625

b^2=49

b=7

The data set shows how many points Mark scored in each basketball game he played this season.
1.4, 4.5,5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16
The box plot shown is a summary of the data.
Move numbers to the spaces to label the values and complete the box plot.
*not drawn to scale
1
5
8
9
11
12
14
15
16

Answers

Answer:

1,5,8,11,16

Step-by-step explanation:

5 squared + 6 squared​

Answers

Answer:

61

Step-by-step explanation:

25 + 36

Answer:

(5)^2 + (6)^2

25 + 36

= 61

hope it helps you

solve the inequality : 8<=2/3(3y-6)

Answers

Answer:

I'm assuming you meant [tex]8\leq \frac{2}{3} (3y-6)[/tex], if so the answer is [tex]\:y\ge \:6\:[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

y_>-6

Step-by-step explanation:

8<=2y-4

2y-4>=8

2y-4+4>=8+4

2y>=12

2y/2>=12/2

What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

Answers

Answer:

The length of the hypotenuse: c = 96.8 units

Step-by-step explanation:

Given the sides

a = 6x+4b = 5xc = hypotenuse = ?

Given that the x = 12

so

a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60

Pythagorean Theorem:

For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

substituting a = 76 and b = 60

[tex]c=\sqrt{76^2+60^2}[/tex]

[tex]c=4\sqrt{586}[/tex]

[tex]c = 96.8[/tex] units

Therefore, the length of the hypotenuse: c = 96.8 units

Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.

Answers

Answer:

15

Step-by-step explanation:

x = time in weeks

y= dollars

so once x hits 0 they corresponding y will be the y intercept.

Lori lives 272 miles from her grandparents, 411 miles from her aunt, and 39 miles from her cousins. About how much closer does Lori live to her grandparents than to her aunt?

Answers

Answer:

139 miles

Step-by-step explanation:

Lori lives 272 miles from her grandparents

411 miles from her aunt

39 miles from her cousins

Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows

= 411 miles - 272 miles.

= 139 miles

If $8000 is invested in an account for which interest is compounded continuously, find the amount of the investment at the end of 12 years for the following
interest rates.
(a) 2%
(b) 3%
(c) 4.5%
(d) 7%

Answers

Answer:

a) $1920, b) $2880, c) $4320, d) $6720

Step-by-step explanation:

a) Interest = Principal(Rate)(time)/100

  Interest = $8000(12)(2)/100

Interest = $1,920

b) Interest = $8000(3)(12)/100

Interest = $2880

c) Interest = $8000(4.5)(12)/100

Interest = $4320

d) Interest = $8000(7)(12)/100

Interest = $6720

please helppp

•••••••••••••

Answers

Answer:

if it is x-5, and y +3 than

a = -2,3

b = -1,5

c = -4,6

Step-by-step explanation:

if we are going in a

(x,y)

order and x-5, and y +3, than this should be correct.

sorry if it’s blurry

Answers

Answer:

im blind

Step-by-step explanation:

im really sorry i cant see anything

Answer:

It is A or 3.9

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

its just the square route.

Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.
How many frames had the video already played when the time was equal to -3 2/5?

Answers

Answer:

105

Step-by-step explanation:

t = 0

frame = 190

so it means, the video has 190 before the timer start counting

speed 25 fps

-------

t = -3 2/5 s = -17/5 s

frame = ?

with the rate of 25 fps

it gain 25 x -17/5 = 85 frame.

so the video at that time has already played

190-85 = 105 frame

Match the lines m and n to the statements they represent

Answers

Answer:

Line n: A set of points where the coordinates of each point have a sum of 2

Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate

Step-by-step explanation:

Given

Lines m and n (See attachment)

Required

Interpret both lines

First, we pick few coordinates of line m and then line n.

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

Test for Statement A:

Set of point with a sum of 2

i.e.

[tex]x + y = 2[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]x_1 + y_1 = 13 + 3 = 16[/tex]

This statement is not true for line m

For n

[tex](x_1,y_1) = (-2,4)[/tex] -- At point A

[tex]x_1 + y_1 = -2 + 4 = 2[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]x_2 + y_2 = 6- 4 = 2[/tex]

[tex](x_3,y_3) = (12,-10)[/tex]  -- At point C

[tex]x_3 + y_3 = 12- 10 = 2[/tex]

This statement is true for line n

Test for Statement 2:

Set of points where y is x - 10

i.e.

[tex]y = x - 10[/tex]

For m

[tex](x_1,y_1) = (13,3)[/tex] -- At point E

[tex]y_1 = x_1 - 10[/tex]

[tex]3 = 13 - 10[/tex]

[tex]3 = 3[/tex]

[tex](x_2,y_2) = (6,-4)[/tex] -- At point B

[tex]y_2 = x_2 - 10[/tex]

[tex]-4 = 6 - 10[/tex]

[tex]-4 = - 4[/tex]

[tex](x_3,y_3) = (2,-8)[/tex]  -- At point D

[tex]y_3 = x_3 - 10[/tex]

[tex]-8 = 2 - 10[/tex]

[tex]-8 = -8[/tex]

This statement is true for line m

Translate the phrase into an algebraic expression. The difference of w and 6

Answers

Answer:

w - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Translate

"Difference" is subtraction

"w" is w

"6" is 6

Step 2: Write

w - 6

Type SSS, SAS, ASA, SAA, or HL

to justify why the two smaller triangles are
congruent.

Answers

Answer:

SSS

Step-by-step explanation:

They are congruent because they have 3 same sides.

Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.

Answers

Answer:

The speed of the current is 2.5 miles per hour

Step-by-step explanation:

Systems of Equations

Let's call:

B = velocity of the boat

C = velocity of the current

When traveling upstream, the current is against the boat thus the relative velocity is B-C.

The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:

d=(B-C)*7=35

Dividing by 7:

B - C = 5       [1]

When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:

d=(B+C)*3.5=35

Dividing by 3.5:

B + C = 10       [2]

Subtracting [2] - [1]:

2C = 5

C = 5/2 = 2.5

The speed of the current is 2.5 miles per hour

a school has 1800 students 55 %of the students of girls. how many boys are in the school?​

Answers

Answer:

810 boys

Step-by-step explanation:

1800 students and 55% are girls.

100%-55%=45%

1800*0.45 = 810

1800*0.55 = 990

So there are 990 girls and 810 boys.

Hope this helps :)

Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t

Answers

Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.
Other Questions
Please help me.? I'm stuck on this last question Cardinal number of set A=1,2,3,4,0,7 is 6 Give Brainliest (help ASAP) Given positive integer num_insects, write a while loop that prints that number doubled up to, but without exceeding 100. Follow each number with a space.Sample output with input: 8 8 16 32 64 Here's what I havenum_insects = 8 # Must be >= 1print(num_insects, '', end='')while num_insects Andrew spent a day at the beach with his family and noticed thermal energy all around him. Which of the following best describes a type of heat transfer he may have experienced? HELP ASAP PLEASE HELP QUICK!!!!Mrs. Berry's class organized the lunch orders for their upcoming party in the table below.Lunch Orders for the Class PartyLunch ChoiceNumberVegetarian Sandwich3Turkey Sandwich7Pepperoni Pizza8Cheese Pizza10Which ratio represents the number of orders for pepperoni pizza to cheese pizza?O 4.505:41081810 Fred is making a fruit salad. The ratio of cups of peaches to cups of cherries is 2 to 3. How many cups of peaches will Fred need to make 60 cups of fruit salad? PLEASE GIVE A STEP BY STEP WAY TO FIND THE SOLUTION What happened to Woodrow Wilson in 1919 that largely prevented him from getting the Congress toagree to all of the terms of the League of Nations?OA. He suffered a disabling strokeOB. He was voted out of officeOc. He was assassinatedDD. He stepped down as President Oriole Company purchased a depreciable asset for $611000 on January 1, 2018. The estimated salvage value is $53000, and the estimated useful life is 9 years. The straight-line method is used for depreciation. In 2021, Oriole changed its estimates to a total useful life of 5 years with a salvage value of $95000. What is 2021 depreciation expense 4. Give examples of organisms that can perform cellular respiration. Which American wroteA Farewell to ArmsandThe Sun Also Rises?Ernest How have I grown PHYSICALLY, SOCIALLY, AND ACADEMICALLY Which of the following is not a fundamental skill needed for successful conflict resolution?Keeping your emotions and behavior under controlControlling the emotions and behaviors of othersRemaining alert and calmPaying attention to feelings expressed Lets say there are 2 planets similar in size, but one has much more mass. How will that affect the number of moons? M is the midpoint of LN. What is LM? LM = What is LN? LN =x = how much of the other juice will be left over? List two accomplishments of Muslim in his category X=number of hoursY=number of tents madeX=0,1,2,3,4,5,6,7,8Y=6,7,8,9,10,11,12,13,14What is the slope? What does it represent? PLSSS HELPPPPPPPPPP!!! The change in physical traits of different species to survive in their environment is an example of an __________________? Steam Workshop Downloader