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

Simplify the expression.
3(2+q)+15 simplified is

Answers

Answer:

3q+21

Step-by-step explanation:

Answer:

brainliest plsssss

Step-by-step explanation:

Let's simplify step-by-step.

3(2+q)+15

Distribute:

=(3)(2)+(3)(q)+15

=6+3q+15

Combine Like Terms:

=6+3q+15

=(3q)+(6+15)

=3q+21

the perimeter of the ussoscales triangle is 48cm calculate the length of BC​

Answers

Answer:

where is the pic............

we need the pic 2 answer your question sir

How do you write 7/10 as a percentage? ​

Answers

Answer:

70%

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.

Answers

Answer:

x  <  15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?

Answers

multiply 32 x 16 and you get 512 m.p.s

Does -3/4 equal 3/(-4)?

Answers

Answer:

Yes

Step-by-step explanation:

When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.

Find the missing side ?

Answers

Answer:

37

Step-by-step explanation:

Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?

Answers

Answer:

The original price of the lawnmower is $ 1,528.

Step-by-step explanation:

If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:

100 - 9 = 91

91 = 1,390.49

100 = X

(100 x 1,390.49) / 91 = X

139.049 / 91 = X

1.528 = X

Thus, the original price of the lawnmower is $ 1,528.

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

The perimeter of the square below is 36 yards. What is the length of each side?
yards

Answers

Answer:

9 yards

Step-by-step explanation:

36 divided by 4 = 9

The length of each side is 9 yards.

What is perimeter?

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given:

The perimeter of the square below is 36 yards.

The length of each side,

= perimeter/ number of sides.

= 36/4

= 9 yards.

Therefore, each side is 9 yards.

To learn more about the perimeter of a shape:

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what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4

Answers

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=4^x[/tex]

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]k=0[/tex]

In other words, the range is all positive real numbers.

Thus,

[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

can someone hep me with this

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Help with what ?you have to give us the question that u need help with

if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long? ​

Answers

Answer:

3inchs

Step-by-step explanation:

So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3

What's the answer to
2(-8+5)+6

Answers

Answer:0,zero

Step-by-step explanation: 2(-8+5)+6

first we do the equation in the parentheses (PEMDAS) which equals -8+5=-3

-3 times 2=-6+6=0

given f(x)=2x-5, find x when f(x)=9

Answers

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes. One particular order delivery took 35 minutes. What is the z-score for this delivery time?

–2.67
–1.67
1.67
2.67

Answers

Answer:2.66

Step-by-step explanation:

The z-score for this delivery time is 2.67

What is z-score?

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Given,

Restaurant delivers orders within 30 minutes

The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27

One particular order delivery took 35 minutes(X)= 35

ц = 27

σ = 3

X = 35

z-score = (X-ц )/σ

Substitute the values,

z-score =  (35-27 )/3

z-score = 8/3

z-score = 2.67

Hence, the z-score for this delivery time is 2.67.

Learn more about z-score

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PLEASE HELP!!! (20 POINTS)

Is it true that [20+(−1)0]0=1? Explain.
A.No, because the negative sign will cancel the values, resulting in zero.
B.Yes, because the negative sign will cancel the values, resulting in one.
C.No, because any number raised to the zero power is zero.
D.Yes, because any number, except zero, raised to the zero power is one.

Answers

It’s either b or d give me a moment to get the positive answer

Please help me I beg!

Answers

Answer:

38.9

Step-by-step explanation:

(x - 3)(x + 4) = x^2+4

Answers

Answer:

  x=16

Step-by-step explanation:

An expression is shown: 4.58 + 0.079 What is the value of the expression

Answers

Answer:

4.659

Step-by-step explanation:

4.58

+0.079

4.659

degree of precision 15.68 x 1.1

Answers

Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

If there are 2.54 centimeters in an inch and 12 inches in a foot . How many centimeters are in 3 feet ?

Answers

Answer - 91.44

Step-by-step explanation:

3 feet = 36 inches

1 inch = 2.54 centimeters

2.54 x 36 = 91.44

Help me please, which postulate proves these two triangles are congruent?

Answers

Answer:

C

Step-by-step explanation:

These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.

I hope this helps! :)

help been out of school so long don't remember how to do this !​

Answers

Answer:

2,1

Step-by-step explanation:

Find where both lines meet. Then the x coordinate comes first then the y .

C. (2,1) because that’s where both lines intersect

Q. There are 42 teachers that work in a school. On Friday, 29 teachers were present What
percent of the teachers showed up for work?

Answers

Answer:

69%

Step-by-step explanation:

Which expression is equivalent to 42 + 12? 7(6+5) 2(40+6) 6(7+2) 10(32+2)

Answers

Answer:

6(7+)

Step-by-step explanation:

1) Start by solving the original equation

42 + 12 = 54

2) Solve the other equations until you find a match

2a) Start with what's in the parenthesis

7(6+5) = 7(11) = 77

2b)

2(40+6) = 2(46) = 92

2c)

6(7+2) = 6(9) = 54

This is your answer

2d)

10(32+2) = 10(34) = 340

Answer: 6(7 +2)

Step-by-step explanation:

Calculate 42 + 12, which is 54.

Calculate 7(6 + 5), which is 7 * 11 = 77.

Calculate 2(40 + 6), which is 2 * 46 = 92.

Calculate 6(7 + 2), which is 6 * 9 = 54.

Calculate 10(32 + 2), which is 10 * 34 = 340.

And, we can conclude the expression 6(7 + 2) is equivalent to 42 + 12.

Charlie threw a ball up in the air modeled by the function f(x)=−x2+2x+4. Elizabeth release a balloon at the same time, represented by g(x)=2x. At what time do the paths cross and at what height?

Answers

Answer:

after 2 secs

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

what does pie mean. does it mean this

Answers

pie is 3.14..... if your talking about it in the sense of math

It takes Andrew 4 min to swim 5 laps how many laps per min

Answers

5/4 = 1.25
He swims 1.25 laps per minute

Answer:

0.8 laps per min

Step-by-step explanation:

4 min / 5 laps

4/5 = 0.8

f−1(f(x)) = f(f−1(x)) =

Answers

Given:

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]

To find:

The missing value.

Solution:

We have,

[tex]f^{-1}(f(x))=f(f^{-1}(x))=?[/tex]       ...(i)

We know that, if [tex]f(x)[/tex] is a function and [tex]f^{-1}(x)[/tex] is its inverse function, then

[tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex]          ...(ii)

From (i) and (ii), we get

Missing value = [tex]x[/tex]

Therefore, the missing value is [tex]x[/tex], i.e., [tex]f^{-1}(f(x))=f(f^{-1}(x))=x[/tex].

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