Mathematics College

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Your answer:

Answers

Answer 1

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

Related Questions

You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer: 10x=y

Step-by-step explanation:

So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.

Ron measured his garden to be 12‘ x 8 1/3‘. He plant vegetables in 3/4 of his garden. What is the area of his vegetable garden?

Answers

Answer:

4/4

Step-by-step explanation:

Hope this helped have an amazing day!

Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?

Answers

Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

I need help with this practice sheet
I'm confused with this

Answers

End behavior is when the graph goes left or right, does it go up or down.

In this graph, when it goes left it goes up, and when the graph goes right it goes down

as x => - infinity, f(x) => Infinity

as x => Infinity, f(x) => - infinity

The leading coefficient is negative.

The degree is even.

PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.

Use this understanding to complete each of the equations below.
CLEAR CHECK

Answers

Answer:

-5 - (-7) = -5 + -7

= 2

-5 - 7 = -5 + -7

= -12

4t + 2u
w;t= 2 and u= 1

Answers

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

Give the domain and range.

a. domain: {-2, 0, 2), range: {4, 6, 8}
b. domain: {0, 2), range: {6, 8}
c. domain: {4, 6, 8), range: (-2, 0, 2}
d. domain: {6, 8), range: {0, 2}

Answers

Answer:

a no is correct answer of the question

does anyone know the answer ?

Answers

Answer:

i think its inches per foot b/c it says what where the final units for this conversion i hope this is helpful.

Step-by-step explanation:

Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither

Answers

Answer:

Perpendicular

Step-by-step explanation:

Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?

Answers

Answer:

Step-by-step explanation:

So we know that 9 windows is 30% so then we multiply 30 to get to the closest to 100 which is x3 so its 90%. Then you divide 30 by 9 which is 3.3 and round it to 3.

What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5

Answers

Answer: A (1)

Step-by-step explanation:

The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number

49/1=49

62/1=62

80/1=80

This is an option

49/2=24.5

62/2=31

80/2=40

This is not an option, 24.5 is not a whole number

40/3=16.333(repeating)

This is not an option, you are not given a whole number

49/4=12.25

This is also not an option, 12.25 is not a whole number

Answer

Our only possible answer is A-1

How to I write 1 2/3 as an improper fraction help ASAP

Answers

You would write 5/3 for it to be an improper fraction

you would write it as five over three
[ 5/3 ]

what are 2 ratios equivalent to 2:12

Answers

Answer:

possible answers include 1:6 and 4:24

Step-by-step explanation:

think of ratios like fractions. you can simplify a fraction by dividing each number by the same factor. 2/12 = 1/6 because you divide the top and bottom by 2. now, you need ANOTHER response. if you can divide the top and bottom you can also multiply. 2/12 now multiply 2 and 12 by 2 and you get 4/24.

Is - .6251327657 a rational number?

Answers

Answer:

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Write an equation to find out how many rackets he bought and then find the number of rackets.

Answers

Answer:

he has bought 18 rackets.

Step-by-step explanation

papa loves a big juicy peen inside of him

Answer:

Step-by-step explanation:

(200-18)/45.50

= 182/45.50

= 4

11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?

Answers

Answer:

$15

Step-by-step explanation:

The unit rate or how much a comic book costs = total cost ÷ number of comic books

Using any given pair, let's use the first row (3, 3.75):

Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]

This means a comic book cost $1.25.

Therefore, 12 comic books would cost:

12 × 1.25 = $15

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.

Expand the following expression by using the distributive method. 6(3b-4c)

Answers

18b-24c. U take the six times the 3b and then the 6 times the -4c. U “distribute” the six with both values

the sale price of an item is $160 after a 20% discount what was the original price of the item

Answers

Answer:

200

Step-by-step explanation:

Because first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.

HOPE THIS HELPS

200$ is the original price.
20% of 200 is 40 so 200-40 is 160 which is the price of the item while on sale

Right 2 units and down 7 units

Answers

Answer:

-3.5

Step-by-step explanation:

Rise over run

Please help i’m giving out brainliest || Q1

Answers

the answer would be a I'm my mind

it would be 8.5 ;
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]

WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?

Answers

Answer:

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

What is the answer and plz give me step by step explaining

Answers

Answer: 5/7

Explanation:

You start with 6 + 8(x - 1) = 2(3x + 4)
Wow. That looks like a lot, so you need to take it one step at a time. Because of PEMDAS (Please Excuse My Dear Aunt Sally), which gives us the order of Parentheses (), Exponents(Baby Numbers), Multiply or Divide from left to right according to where it is in the problem, and Add or Subtract from left to right according to where it is in the problem, you need to look at your parentheses first. Let’s start with
8(x - 1). 8 is touching those parentheses all by itself, so it’s being multiplied with the stuff in the parentheses. 8 times x is 8x and 8 times 1 is 8. That gives you

6 + 8x - 8 = 2(3x + 4)

Do the same thing with 2(3x + 4). 2 is touching those parentheses all by itself so you multiply it by the stuff inside to get 6x + 8. You now have

6 + 8x - 8 = 6x + 8

But where do we go from here? Okay well what you’re trying to do is get a single x by itself on one side of the equals and the answer on the other side. So, we have

6 + 8x - 8 = 6x + 8

Let’s start on the left side with 6 + and - 8. If you have 6 and you take 8 away, you can’t because you’ll still need 2, so 6 - 8 = -2. That leaves you with

8x - 2 = 6x + 8

Then, you take the 6x from the right side and add it to the 8x on the left. You have 14x. This gives you

14x - 2 = 8

Look at -2. We want to get rid of that, so we would do the opposite of - which is + so we would add.

14x - 2 = 8
+ 2 + 2
——————
14x = 10

Now look at 14x, which is the same as 14 times x. The opposite of multiplying is dividing so divide.

14x = 10
/14 /14

X = 10/14 which simplifies into 5/7

Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k

Answers

Answer: D

Step-by-step explanation:

I just got it wrong and D was the answer

nodadnotoday is my Spotify tho

9 1/12 = k/9 Solve for K

Answers

k/9-1=12

We move all terms to the left:

k/9-1-(12)=0

We add all the numbers together, and all the variables

k/9-13=0

We multiply all the terms by the denominator

k-13*9=0

We add all the numbers together, and all the variables

k-117=0

We move all terms containing k to the left, all other terms to the right

k=117

Hope this helps ya :) k= 81.75

HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS

Answers

Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec

can anyone help me figure out how to do this

Answers

Answer:

[tex]133m^2[/tex]

Step-by-step explanation:

What if i say NO?

3*3=9

8+3=11

12-3=9

9*11=99

2 area coverd so far

99+9=108

7*2=14

108+14=122

Lastly the tir

10-7=3

11-3-2=6

6*4=24

24/2=12

[tex]133m^2[/tex]

16 is what percent of 20?

Answers

Answer:

3.2

Step-by-step explanation:

16/20 = 0.8
0.8 * 100 = 80
Solution: 80%

Where did the 45% come from. It states 55% in question

Answers

Answer:

is this a question......

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