Mathematics College

Martin put 8 pounds of grapes into a bowl. Four friends each took 2/3 pounds from the bowl. What fraction represents the total amount of grapes removed from the bowl ?

Answers

Answer 1
There are 8 pounds of grapes. Four people each take 2/3 out. We can find out how much was taken out by multiplying these four people by the amount they took out, 2/3:

[tex]\sf 4\times\dfrac{2}{3}=\dfrac{8}{3}[/tex]

We can convert this improper fraction to a mixed number. Three goes into eight two times. 3 * 2 = 6. 8 - 6 = 2. So we have 2 and two thirds leftover, or:

[tex]\sf 2\dfrac{2}{3}[/tex]

So the total amount of grapes that was removed from the bowl is [tex]\sf\dfrac{8}{3}[/tex] or [tex]\sf 2\dfrac{2}{3}[/tex] pounds.
Answer 2

Answer:

-8/3

Step-by-step explanation:

i took the test on edg

Related Questions

Find an equation of the tangent line to the tangent line to the given curve at the specified point y= ln(x^2-8x+1), (8,0)

Answers

Try this option (note, that this is an equation of the tangent line to the given curve at point A(9;0)).
Details are provided on the attached picture.

solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and
x + 7y = 8

Answers

[tex] \left \{ {{ \frac{3}{8}x+ \frac{1}{3}y = \frac{17}{14} } \atop {x+7y=8}} \right. [/tex]

To solve this system by substitution, first isolate x in the second equation.

[tex]x+7y=8[/tex]
[tex]x+7y-7y=8-7y[/tex]
[tex]x=8-7y[/tex]

Now, plug this expression ([tex]8-7y[/tex]) for x in the top equation to solve for y.

[tex] \frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14} [/tex]
[tex]3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24} [/tex]
[tex]72-63y+8y=17[/tex]
[tex]72-55y=17[/tex]
[tex]-55y=17-72[/tex]
[tex]-55y=-55[/tex]
[tex]y=1[/tex]

Now that you have y, plug it into the second equation and solve for x.

[tex]x+7y=8[/tex]
[tex]x+7(1)=8[/tex]
[tex]x+7=8[/tex]
[tex]x=1[/tex]

Last step is to plug your x- and y-values in to both equations to check your work.

[tex] \frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24} [/tex]

[tex] \frac{3}{8} * \frac{3}{3} = \frac{9}{24} ; \frac{1}{3} * \frac{8}{8} = \frac{8}{24} [/tex]

[tex] \frac{9}{24} + \frac{8}{24} = \frac{17}{24} [/tex]  <--True

[tex]1+7(1)=8[/tex]
[tex]1+7=8[/tex]   <--True

Answer:
[tex]x=1 \\ y=1[/tex]

Answer:

1,1

Step-by-step explanation:

Correct:)

A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?

Answers

$87.50 because there are 190 minutes over, each minute being .25 cents. which is $47.50. added to the original charge of $40 for 600 minutes

We have to find the bill for this month.

Since, the student talked on phone for 790 minutes.

600 minutes are provided in a monthly charge of $40 and the remaining minutes are charged $0.25/minute.

So, 790 - 600 =190 minutes.

So, 190 minutes are minutes at $0.25/minute.

So, Cost applied on 190 minutes = [tex] 190 \times \$ 0.25 [/tex]

= 47.50

So, Total bill for 790 minutes =

Cost for 600 minutes + Cost for 190 minutes

= $40 + $47.50

= $87.50

So, the bill for the month is $87.50

A rectangular prism has a length of 312 inches, a width of 5 inches, and a height of 112 inches. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Answer:

The  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Step-by-step explanation:

Formula

Volume of a rectangular prism = Length × Breadth × Height

As given

A rectangular prism has a length of [tex]3 \frac{1}{2}[/tex]inches, a width of 5 inches, and a height of [tex]1 \frac{1}{2}[/tex] inches.

i.e

A rectangular prism has a length of [tex]\frac{7}{2}[/tex]inches, a width of 5 inches, and a height of [tex]\frac{3}{2}[/tex] inches.

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7}{2}\times 5\times \frac{3}{2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{7\times 5\times\times 3}{2\times 2}[/tex]

[tex]Volume\ of\ a\ rectangular\ prism = \frac{105}{4}[/tex]

In mixed number

[tex]Volume\ of\ a\ rectangular\ prism =26 \frac{1}{4}\ inches^{3}[/tex]

In decimal form

[tex]Volume\ of\ a\ rectangular\ prism = 26.25\ inches^{3}[/tex]

Therefore the  volume of the prism in the decimal form is 26.25 inches³ and [tex]26 \frac{1}{4}\ inches^{3}[/tex]

Answer: [tex]26\dfrac{1}{4}\text{ inches}^3[/tex]

Step-by-step explanation:

Given : In a rectangular prism , length = [tex]3\dfrac{1}{2}\text{ inches}[/tex]

[tex]=\dfrac{3(2)+1}{2}=\dfrac{7}{2}\text{ inches}[/tex]

width = 5  inches

height= [tex]1\dfrac{1}{2}\text{ inches}=\dfrac{3}{2}\text{ inches}[/tex]

Now, the volume of the prism will be :-

[tex]V= l\times w\times h\\\\=\dfrac{7}{2}\times5\times\dfrac{3}{2 }\text{ inches}^3\\\\=\dfrac{105}{4}\text{ inches}^3\\\\=26\dfrac{1}{4}\text{ inches}^3[/tex]

Hence, the volume of the prism [tex]=26\dfrac{1}{4}\text{ inches}^3[/tex]

Find the cosine and the tangent of 60 degrees

Answers

We are required to find the cosine  and tangent of 60°. Here we use an equilateral triangle whose side is 2 units, the height of the triangle by Pythagorean theorem will be √3 units, the base of the right angle triangle formed by bisection of the base will be 1 unit.
thus:
tan θ=opposite /adjacent
opposite= √3
adjacent=1
hence:
tan 60=√3/1=√3

cos θ=adjacent/ hypotenuse
adjacent=1
hypotenuse=2
thus
cos 60=1/2

Answer:

D!!!

Step-by-step explanation:

What are the coordinates of the image of the point (4, 2) after a dilation with a center of (0, 0) and a scale factor of 2? A. (0, 0) B. (2, 1) C. (4, 2) D. (8, 4)

Answers

Answer:

Option D (8,4)

Step-by-step explanation:

we know that

The dilation centered at the origin  (0,0) is very simple. To find out the image point multiply the scale factor to the x  and  y-coordinates of the pre-image point.

so

(2*4,2*2) -----> (8,4)

Answer:

D.  (8, 4) IS THE ANSWER

Graph the equation
5x+3y+62=30

Answers

Answer:

see below

Step-by-step explanation:

Subtract 62, then divide by -32 to put the equation into intercept form:

... x/(-6.4) + y/(-10 2/3) = 1

This tells you the x-intercept is -6.4, and the y-intercept is -10 2/3. A line through these two points is your graph.

Ronald Fast Food randomly selected 20\%20%20, percent of locations and asked the manager about the most popular meat. Of the locations surveyed, beef is the most popular meat at 444 locations.
Based on the data, what is the most reasonable estimate of the number of Ronald Fast Food locations where the most popular meat is beef?

Answers

The answer is 20.

Hope this helped☺☺

Steph Curry makes 9 out of 10 free throws if he free throws 200 shots how many can the expect to get in

Answers

he can expect to make 180 free throw shots

Answer:

180 out of 200

Step-by-step explanation:

Jeremy 7 years older than Esmeralda in 3 years the sum of their ages will be 57 how old is Jeremy now

Answers

Right now, Jeremy is 29 years old. Esmeralda is currently 22. 
First, define your variables.
J = Jeremy's age
E = Esmeralda's age

Next, create your equations.
J = E + 7
J + 3 + E + 3 = 57 which simplifies to J + E = 51

Now because J is defined in terms of E, substitute E as J into the second equation. E + 7 + E = 51
Next, 2E = 44
E = 22

Now, substitute the value of E into the original equation to find J. J = E + 7. J = 22 + 7. J = 29

Next check by substituting into the second equation. J + E = 51. 22 + 29 = 51.

Jeremy's age: 29
Esmeralda's: 22

3x+4y=-23
2y-x=-19
What is the solution (x,y) to the systems of equations above?

Answers

If we multiply the bottom equation by 2 and move x to the right, it becomes:

4y = 2x-38

Now we can substitute it for the 4y in the top equation:

3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3

Then 4y = 2*3-38 => y = -8

So the solution is (3,-8)

Final answer:

The solution to the system of equations 3x + 4y = -23 and 2y - x = -19, found using the elimination method, is (x, y) = (-61, -40).

Explanation:

To solve the system of equations 3x + 4y = -23 and 2y - x = -19, we can use the method of substitution or elimination. Let's use elimination to find the solution for (x, y).

Multiply the second equation by 2 to align the x terms: 2(2y - x) = 2(-19), which gives us 4y - 2x = -38.

Rewrite the equations to align like terms:
  3x + 4y = -23
  -2x + 4y = -38

Add the two equations together to eliminate y: (3x - 2x) + (4y + 4y) = -23 - 38, resulting in x = -61.

Substitute x back into the second original equation: 2y - (-61) = -19, which simplifies to 2y + 61 = -19.

Solve for y by subtracting 61 from both sides: 2y = -80, and then dividing by 2 gives us y = -40.

So, the solution to the system of equations is x = -61 and y = -40.

5n + 3 = 2(n + 2) + 3n
N= ???
-Show All Work!-

Answers

Simplifying
5n + 3 = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(n + 2) + 3n

Reorder the terms:
3 + 5n = 2(2 + n) + 3n
3 + 5n = (2 * 2 + n * 2) + 3n
3 + 5n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n
3 + 5n = 4 + 5n

Add '-5n' to each side of the equation.
3 + 5n + -5n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + 0 = 4 + 5n + -5n
3 = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 = 4 + 0
3 = 4

Solving
3 = 4
The left and right sides are not equal, therefore there is no solution.

A circle is dropped into parabola y = x 2 . what is the radius of the largest circle that will touch the vertex?

Answers

A circle with the radius of 6

In the diagram, what is the value of x?

Answers

The answer is option C (98°)

x is a supplementary angle to the angle labelled as measuring 82° (that is, the sum of x and 82° is 180°) because together, they make a straight line.

Mathematically,
x + 82° = 180°
x = 180° - 82°
x = 98°

how i describe the algebraic expression of n+4

Answers

Answer:

Step-by-step explanation:

One way to put that into words would be "4 added to some number".  Another way could be "the sum of some number and 4" or "4 more than some number".  They all mean the same thing.

find the missing number 1.2 equals 3. what

Answers

If you are asking 1.2 times what equals 3:

x= unknown number

1.2 * x= 3
1.2x= 3
divide both sides by 1.2
x= 3/1.2
x= 2.5

Hope this helps! :)

if the input is 3 and the output is 13 what is the function

Answers

Based on the given information, the function is
  f(3) = 13

What is the diameter of a circle with a circumference of 176 feet use for 22 over for pie

Answers

Formula for Diameter: 2 x radius
Formula for Radius:  R= C/2(pi)
R= 176/2(22/7)
R=28.01
2(28.01)=56.02

Answer= 56.02


One rejects the null hypothesis only when the:
a. sample mean is larger than the population mean.
b. p value associated with the test statistic is greater than the p level chosen.
c. p value associated with the test statistic is smaller than the p level chosen.
d. sample mean is smaller than the population mean.

Answers

C. P Value associated with the test statistic is smaller than the p level chosen. 

If the P value is less than or equal to o, then the null hypothesis is rejected in favor of the alternative hypothesis. The alternative hypothesis is also known as the research hypothesis. These are part of the significance levels of research based projects. 

What is the correct expression of 34,000 x 96,000 using scientific notation?

Answers

3.264 x 109 i got taught this in 5th grade

For this case we have the following product:

[tex] 34000 * 96000
[/tex]

We can rewrite both numbers using scientific notation.

We have then:

[tex] (3,4 * 10 ^ 4) * (9,6 * 10 ^ 4)
[/tex]

Then, we can rewrite the expression as follows:

[tex] (3,4 * 9,6) * (10 ^ 4 * 10 ^ 4)
[/tex]

Same basis, the exponents are added:

[tex] (3,4 * 9,6) * 10 ^ 8
[/tex]

Multiplying the expression within the parenthesis we have:

[tex] (32.64) * 10 ^ 8
[/tex]

Rewriting the left term as scientific notation we have:

[tex] (3,264 * 10 ^ 1) * 10 ^ 8
[/tex]

Finally we have:

[tex] 3,264 * 10 ^ 9 [/tex]

Answer:

the correct expression of 34,000 x 96,000 using scientific notation is:

[tex] 3,264 * 10 ^ 9 [/tex]

What is equation for the line or curve of the best fit for the following data?

Answers

Correct Answer:
Option 2. y = 4.98x - 0.3

The given points can be plotted on a graph. The points mainly lie in a straight line so a straight line will be the best fit for the given set of ordered pairs. The equation of line that best fit can be found using any tool like Excel, Statcrunch etc. Using excel the points have been plotted and equation of best fit is found. The image attached below show the graph and equation

Four family members compared their ages. Terell is 3 years younger than Danny. Danny is 1 year younger that Pablo. Pablo's age is 1/3 Shaniqua age. How old is Terell if shaniqua is 36 years old?

Answers

Terell is 8. 36 / 3 = 12. 12-1=11. 11-3=8.

Match the expressions with the property used to generate 5y + 2y + 6 + 2.

Answers

7y + 8 should be your answer. 
Hope this helps!

10 POINTS

Solve the combined inequality:

6 -2x < 12 or 7 + 2x < -11

Answers

The first thing we must do in this case is to solve both inequations.
 We have then:
 Inequality 1:
 6 -2x <12
 6-12 <2x
 -6 <2x
 -6/2 <x
 -3 <x
 Inequality 2:
 7 + 2x <-11
 2x <-11-7
 2x <-18
 x <-18/2
 x <-9
 Answer:
 (-inf, -9) U (-3, inf)

Find the value of x so that this quadrilateral is a parrallelogram

Answers

Hey there!

Since this is a parallelogram, the 2 angles with the equations are congruent. Make them equal each other. 2x+60=4x-12. You get 72=2x. Divide by 2 on each side to get x=36. The answer is x=36.

I hope this helps!

52÷2 what is the answer to this math

Answers

52 / 2 is 26!

Brainliest? I am trying to get a higher rank!
52÷2=? The answer to this question is 26.

Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%

Answers

Given that Johan takes-out a 20 year mortgage at 4% to buy a house. If he looks at investing in 20-year, fixed rate Treasuries, the most likely closest to the coupons of the treasuries is 3.8%, this is because any other rates apart from this will lead to an arbitrage opportunity. This means that if the percentage of the coupons are high, Johan may invest his proceeds from mortgage to treasuries and earn risk free interest. The right rate is 3.9%

Answer:

3.9%

Step-by-step explanation:

Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.

Lucy is making a smoothie by following the recipe below

Answers

I need more information. If you find some add it then I will possibly be able to answer your question
Yea this is very true

CAN I GET THE RIGHT ANSWER TO THIS??

Answers

That would be B. XY
A secant is a line that has two different intersecting points with a circle

Ratio Question solving with algebra need help must finish soon

Answers

Consider this option.
Note, that the answers are marked by green colour.
Other Questions
Yo termino la conversacin y_____ el auricular@michelle_DrNiah, __________ states that the United States had no intention of taking over Cuba. a. Cuban Amendment c. Clayton Amendment b. Teller Amendment d. None of the above A shipping tube is shaped like a triangular prism. The bases are equilateral triangles with edges of 6 inches and a height of 5.2 inches. The tube is 14 inches long. Find the lateral surface area of the shipping tube. What is a threat to 60% of the u.s. wildlife refuges? How much sleep is recommended for 12- to 18- year-olds a paper analyzing the relationship between two events would be organized in which of the following methods The area of a quarter circle is 0.785 square kilometers. What is the quarter circle's perimeter? Which is j = 4rb solved for r? Esther and Jim plan to add a pond to their property. The area of the pond is 11 square meters. What is the radius? how did aristotle add to plato's idea of tyranny and democracy How much work does an elevator motor do to lift a 1200-kg elevator car a height of 80 m at constant speed? Tom was saving $3000 for a trip. He initially deposited $200 in a savings account and then deposited a fixed amount every month in the account for the next 5 months. Then he received a check in the mail. The check was three times as much as the total amount he had saved so far. When he deposited the check in his savings account, he had $200 more than he needed. What was the fixed amount he deposited in the savings account during the 5 months? If you were given an assignment to discuss the ways in which two friends of yours are both alike and different, what would be the most appropriate format to use? A) chronological format B) cause-effect format C) compare-contrast format D) problem-solution format Topographic highs that separate drainage basins are called ____. a. drainage divides b. natural levees c. distributaries d. alluvial fans In the library at Lenape Elementary School, there are 3/8 as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books? Which biome provides the best climate for diverse colorful animals? What is the relationship between environmental health and our own health Cruz trading's beginning and ending balance accounts receivable for the year were $30,000 and $200,000 respectively, while the credit sales were $825,000. calculate the cash collections from customers for the year. Read the passage.excerpt from "Here Is New York" by E.B. WhiteThere are roughly three New Yorks. There is, first, the New York of the man or woman who was born here, who takes the city for granted and accepts its size and its turbulence as natural and inevitable. Second, there is the New York of the commuterthe city that is devoured by locusts each day and spat out each night. Third, there is the New York of the person who was born somewhere else and came to New York in quest of something. Of these three trembling cities the greatest is the lastthe city of final destination, the city that is a goal. It is this third city that accounts for New Yorks high-strung disposition, its poetical deportment, its dedication to the arts, and its incomparable achievements. Commuters give the city its tidal restlessness, natives give it solidity and continuity, but settlers give it passion. And whether it is a farmer arriving from Italy to set up a small grocery store in a slum, or a young girl arriving from a small town in Mississippi to escape the indignity of being observed by her neighbors, or a boy arriving from the Corn Belt with a manuscript in his suitcase and a pain in his heart, it makes no difference: each embraces New York with the intense excitement of first love, each absorbs New York with the fresh yes of an adventurer, each generates heat and light to dwarf the Consolidated Edison Company.The commuter is the queerest bird of all. The suburb he inhabits has no essential vitality of its own and is a mere roost where he comes at days end to go to sleep. Except in rare cases, the man who lives in Mamaroneck or Little Neck or Teaneck, and works in New York, discovers nothing much about the city except the time of arrival and departure of trains and buses, and the path to a quick lunch. He is desk-bound, and has never, idly roaming in the gloaming, stumbled suddenly on Belvedere Tower in the Park, see the ramparts rise sheer from the water of the pond, and the boys along the shore fishing for minnows, girls stretched out negligently on the shelves of the rocks; he has never come suddenly on anything at all in New York as a loiterer, because he has had no time between trains. He has fished in Manhattans wallet and dug out coins, but has never listened to Manhattans breathing, never awakened to its morning, never dropped off to sleep in its night. About 400,000 men and women come charging on to the Island each week-day morning, out of the mouths of tubes and tunnels. Not many among them have ever spent a drowsy afternoon in the great rustling oaken silence of the reading room of the Public Library, with the book elevator (like an old water wheel) spewing out books onto the trays. They tend their furnaces in Westchester and in Jersey, but have never seen the furnaces of the Bowery, the fires that burn in oil drums on zero winter nights. They may work in the financial district downtown and never see the extravagant plantings of Rockefeller Centerthe daffodils and grape hyacinths and birches and the flags trimmed to the wind on a fine morning in spring. Or they may work in a midtown office and may let a whole year swing round without sighting Governors Island from the sea wall. The commuter dies with tremendous mileage to his credit, but he is no rover. His entrances and exits are more devious than those in a prairie-dog village; and he calmly plays bridge while buried in the mud at the bottom of the East River. The Long Island Rail Road alone carried forty million commuters last year; but many of them were the same fellow retracing his steps.The terrain of New York is such that a resident sometimes travels farther, in the end, than a commuter. Irving Berlins journey from Cherry Street in the lower East Side to an apartment uptown was through an alley and was only three or four miles in length; but it was like going three times around the world.Which quotation from the essay helps to create the humorous tone in"Here is New York"?Not many among them have ever spent a drowsy afternoon in the great rustling oaken silence of the reading room of the Public Library, with the book elevator (like an old water wheel) spewing out books onto the trays.He is desk-bound, and has never, idly roaming in the gloaming, stumbled suddenly on Belvedere Tower in the Park, see the ramparts rise sheer from the water of the pond,it makes no difference: each embraces New York with the intense excitement of first love, each absorbs New York with the fresh yes of an adventurer,The commuter is the queerest bird of all. The suburb he inhabits has no essential vitality of its own and is a mere roost where he comes at days end to go to sleep. Whats number 4 ?????????