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)

Answers

Answer 1

Answer:

3/8 bucket

Step-by-step explanation:

Given that 1/4 bucket of nuts fills 2/3 of the barrel

PART A

To find the amount of nuts that fills entire basket we can put this as:

1/4 bucket → 2/3 barrelx bucket → 1 barrel

Use cross-multiplication to find the value of x:

x×2/3 = 1×1/4x = 1/4 ÷ 2/3x = 1/4×3/2x = 3/8 bucket

PART B

Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.

Related Questions

Somebody knows how to this?

Answers

I think the value of x is 8

what is 24=78^2 what is it

Answers

Answer:

24  =  6084

Step-by-step explanation:

24 is already simpflied. So 78 times 78 is left.

Which is easy and equals to 6084.

rlly need help plzzzzzz
Given f(x) = x², write the new equation of j(z) if j() = – 2f(x + 6) + 9. You do not need to simplify.

Answers

Answer:

gurl im sorry

Step-by-step explanation:

i dony know the answer im just here for points

What is the solution of the following system y=-2x=8 16+4x=2y

Answers

It has no solutions or an infinite amount of solutions

I NEED REAL HELP PLEASEE!!! a store has televisions on sale for 20% off the original price. The original price of a television is 150 before the sale what will be the sale price of the television set

a. 142.50

b.135

c.130

d.127.50

e.120

Answers

Answer:

120

Step-by-step explanation:

E

Answer:

$120

Step-by-step explanation:

A 20 ft tall ladder standing next to a statue casts a 12 ft shadow. If the statue casts a shadow that is 9 ft long then how tall is it?

Answers

Given that,

Length of the ladder = 20 ft

It casts a 12 ft shadow

To find,

If the statue casts a shadow that is 9 ft long then how tall is it?

Solution,

Let the ladder be x ft tall.

20 ft tall ladder = 12 ft shadow

9 ft tall ladder =

[tex]\dfrac{20}{12}\times 9\\\\=15\ ft[/tex]

Hence, the required length is 15 ft.

The inequality x ≥ -3 is satisfied by point (0, -2). True False

please explain!!

Answers

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

Please help it's almost due will mark brainliest (only question 13)

Answers

Answer:

I got x = 0

Step-by-step explanation:

y = (47/2)x Substitute y =0

0 = (47/2) x Multiply both side

0 = x Swap the sides

x = 0

20) Find the length of a side of a square with a
diagonal length of 100 cm.

Answers

Answer:

about 7.0710678cm

Step-by-step explanation:

it's a square so the sides are equal.

the diagonal is 100cm

This makes a right triangle with two sides

since the sides are equal, they both are equal to the square root of 50, which is half of 100

the square root of 50 is about 7.0710678cm

A veterinarian prescribes Benadryl for a dog with allergies. The recommended dosage is 3 mg per kg per day to be given in two doses. If your golden retriever weighs 67 lbs., how much Benadryl should he get in each dose? Round to nearest milligram.

Answers

Answer:

Each dose should be of 5.05 milligrams.

Step-by-step explanation:

To solve the present problem, it is necessary to first establish the equivalence between pounds and kilograms. Thus, 1 pound is equal to 0.453 kilograms. Therefore, the dog weighs about 30.35 kilograms (67 x 0.453), with which, since 3 milligrams must be applied for each kilogram of the animal's weight, 10.1 milligrams of Benadryl (30.35 / 3) should be applied.

Now, since Benadryl is applied in two doses, each of these doses should be 5.05 milligrams (10.1 / 2).

Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving

Answers

Answer:

18 + m = 49 or 49 = 18 + m

Step-by-step explanation:

P.S Can I have brainliest?

How long is a guy wire reaching from the top of a 21ft. Pole to a point on the ground 15ft. From the pole

Answers

Answer:

26ft

Step-by-step explanation:

This would form a triangle so you would use Pythagorean theorem to find the hypotenuse ( the longest side )

Sam is baking 10 pies for a school bake sale. He
uses 21 cups of apples for 6 pies. How many
cups of apples will he need in all? Explain

Answers

Answer:

Step-by-step explanation:

21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall

Answer:

35 cups of apples

Step-by-step explanation:

Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?

Answers

Answer:

The price would be $51.75.

Step-by-step explanation:

Since Joe is marking up by 15%, the price will increase for the pair of shoes.  Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.

What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x

Answers

Answer:

x is equal to both 3 and 6.

Step-by-step explanation:

[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]

So x values of 3 and 6 will make this statement true.

Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?

Answers

Answer:

C. 498

Step-by-step explanation:

Total number of words typed by both Mark and Carol is 498.

Rate of typing by Mark = 20 word per minute

Rate of typing by Carol = 22 words per minute

Since, Mark starts typing at 1:00 pm  and stop at 1:15 pm.

So, time taken by Mark is 15 minute.

number of words typed by  Mark = [tex]20*15=300[/tex]

Since, Carol starts typing 6 min late , i.e.  at 1:06 pm  and stop at 1:15 pm.

So, time taken by Carol is 9 minute.

number of words typed by  Carol =[tex]22*9=198[/tex]

Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.

Learn more:

https://brainly.com/question/23145277

Find f(-2) for f(x) = 3•2^x.
A. 1/36
B. 3/4
C. -12
D. -36

Answers

Answer:

B.3/4

I tried looking for an answer but someone just answers my question and didn’t even write anything it was blank, so I just guessed :/

Step-by-step explanation:

Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the nearest hundredth, how many cubic yards of concrete will she need? (Remember, yd3=in3÷46,656 )

Answers

Answer:

2.6667yd^3

Step-by-step explanation

Volume of the concrete = Length * width * height

Given

height = 6 inches

To yards;

1 in = 0.0277778yd

6 in = 6 * 0.0277778

6in = 0.1666668 yards

Width = 8 feet

Length = 6ft

LW = 48ft²

To yards;

1 ft = 0.333333yd

48 ft = 48(0.333333)

48 ft^ 2 = 15.999984yd^2

Volume = 15.999984 * 0.1666668

Volume = 2.6667 yd^3

Hence she will need 2.6667yd^3 concrete

Need help with this one will mark brainliest

Answers

Answer:

circle 3

Step-by-step explanation:

I’m pretty sure it’s the first one!! Plz mark brainliest!!

If a watch costs $ 40 and you must pay 6.5 % sales tax

Answers

Step-by-step explanation:

you will end up paying $66 dollars

Urgently need this my kid is confused and so am I.

The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?

Answers

Answer:

The other equation is [tex]x + y = 21[/tex]

The length and width are 13 and 8

Step-by-step explanation:

Given

[tex]Perimeter = 42[/tex]

[tex]y = x - 5[/tex]

Required

What is the other equation for the length and width?

x and y represents the length and width respectively.

The perimeter of a rectangle is calculated using:

[tex]Perimeter = 2 * (length + width)[/tex]

In this case, it is:

[tex]Perimeter = 2 * (x + y)[/tex]

Substitute 42 for perimeter

[tex]42 = 2 * (x + y)[/tex]

Divide through by 2

[tex]21 = x + y[/tex]

[tex]x + y = 21[/tex]

Required: The values of length and width

We have that:

[tex]y = x - 5[/tex]

[tex]x + y = 21[/tex]

Substitute x - 5 for y in the second equation

[tex]x + x - 5 = 21[/tex]

[tex]2x - 5 = 21[/tex]

Add 5 to both sides

[tex]2x - 5 + 5 = 21 + 5[/tex]

[tex]2x = 26[/tex]

Divide through by 2

[tex]x = 13[/tex]

Substitute 13 for x in [tex]y = x - 5[/tex]

[tex]y = 13 - 5[/tex]

[tex]y = 8[/tex]

Hence, the length and width are 13 and 8 respectively

is anyone knows the answer tell me please thank you .

Answers

Answer:

there is no question attached

Step-by-step explanation:

Were is the question

madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?

Answers

Answer:

add the 3 distances

Step-by-step explanation:

58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3

write the decimal 2.10 as a percent ​

Answers

Answer:

210%

Step-by-step explanation:

dat was too easy

Answer:

210% or 21% or 2.10%

its all about what 2.10 is out of (example:   /1=210%  /10= 21%  /100=2.1%

edit: if your wondering what the "/" means it means " out of"                (example: 1 out of 100 is 1%)

PLEASE HELPPP THIS IS SUE IN 5 MINUTESSS! I WILL MARK YOU AS BRAINLIEST!!!!!

The expression 12 dollars t can be used to find the total cost for t tickets to the movie theater. Choose the correct number expression to represent 12 dollars times t.
A) 12+t
B) 12-t
C) 12/t
D) 12*t

Answers

Answer:

D) 12*t

Step-by-step explanation:

It askes for the correct number expression to represent 12 dollars times t

and * means times so this expression 12*t literally means 12 dollars times t

so D) is your answer or D) 12*t

good luck with ur assignment or test! hope u aced it.

The price of the shirt is $18.50 but you have a coupon that lowers the price by 20%. What is the price of the shirt after using the coupon?

Answers

Answer:

After using the coupon the price of the shirt would be $14.80

Step-by-step explanation:

To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80

4x4xy+6/3
Please i will give brainliest

Answers

GIVE ME THE ANSWER!!!!!!!!!!!!!!!!!!

a bottle of eye drops has 0.45 fluid ounces of liquid how much liquid is in ten Forths bottles of eye drop.

Answers

The answer is 4,500 fluid ounces

I need help you'll get fourteen points plz fast
ASAP

Answers

Answer:

I think the right answer is c I'm sorry if you get it wrong

Answer:

pretty sure it's B

Step-by-step explanation:

sorry if wrong it was hard to read the picture it was very blurry

please help me im very behind ​

Answers

Answer:

I believe the believe the answer is a1=17 C

Please correct me If I am wrong thank you :)

Step-by-step explanation:

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