At Jim's Juice Box Factory, his machine can fill 300 juice boxed an hour. Each juice box holds 0.8 cups. How many gallons of juice does Jim's factory need per hour?

Answers

Answer 1

(300 box/h) * (0.8 cup/box) * (1 gal)/(16 cup) = 300*0.8/16 gal/h
.. = 15 gal/h

Jim's factory needs 15 gallons of juice per hour.

Related Questions

Find the sum of 5 smallest consecutive whole numbers.

Answers

0+1+2+3+4= 10

that is the answer

Answer:

Step-by-step explanation:

This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help

Answers

Two sides are 4 by 5.
Two sides are 4 by 6.
Two sides are 5 by 6.
Since it's a feeding tough, I assume the top face is open and not there, so one of the six sides listed above is missing, but without a picture, I can't tell which one it is.

Answer:

Step-by-step explanation:

If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas?

Answers

480.6 miles

multiply 18 by 26.7 to get that answer

Answer:

480.6 miles.

Step-by-step explanation:

We have been given that John's car gets an average of 18 mpg. John fills his tank with 26.7 gallons of gas.

To find the distance traveled by John's car, we will multiply the distance covered per gallon by number of gallons in the tank.

[tex]\text{Total distance traveled by John's car}=\frac{18\text{ miles}}{\text{gallon}}\times \text{26.7 gallons}[/tex]

[tex]\text{Total distance traveled by John's car}=18\text{ miles}\times 26.7[/tex]

[tex]\text{Total distance traveled by John's car}=480.6\text{ miles}[/tex]

Therefore, John can travel 480.6 miles on a tank of gas.

caros ran 5.25 miles each day for d days. h ran a total of 157.5 miles. which eqution represents the number of days carlos ran?

Answers

The answer to your question is A.

The table below shows the distance d(t) in feet that an object travels in t seconds:

t
(seconds)
d(t)
(feet)
3
126
4
224
5
350
6
504

What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent?

Answers

Average change of d(t) between 3s and 5s=(d(5)-d(3))/(5-3)=(350-126)/2=224/2=112 ft/t. This represents the average speed of the object between 3s and 5s.

20-3(m-1)=-4 What is m??

Answers

Let's do this step by step:

20-3(m-1)=-4
20-3m+3=-4
23-3m=-4
-3m=-27
m=9
To check if this answer is correct, simply substitute m with 9 and you will get 9=9

if the legs of a right triangle are 8 and 10, find the length of the hypotenuse

Answers

Hello there!

You need to use the Pythagorean theorem.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

164 = c²

c = √164

c = 2√41

Decimal is 12.8

Thus, the length of the hypotenuse is 12

Let me know if you have any misunderstanding about the answer!

As always, I am here to help!

Hello!

We can use Pythagoras' Theorem to solve this problem. The Pythagorean Theorem:

a² + b² = c², where c is the hypotenuse.

Your two legs measure 8 and 10; substitute them into the theorem:

a² + b² = c²
8² + 10² = c²
64 + 100 = c²
164 = c²
12.81 ≈ c

Answer:
The length of the hypotenuse is approximately 12.81 units.

If it's 10 A.M. Eastern Standard Time in New York City, what time is it in Los Angeles? A. 1:00 P.M. B. 9:00 A.M. C. 7:00 A.M D. 12:00 P.M.

Answers

7:00 am C. Hope this helps!

HEY THERE!!

The answer is C. 7:00 A.M.

~ TRUE BOSS

Lionel is planning a one-day outing

Answers

The answer is C. If we want to go on x rides, we need to pay 40+5x dollars at Thrill Park, and 60+3x dollars at Splash Park. The average money needed for each ride is (40+5x)/x at Thrill Park, (60+3x)/x at Splash Park. Therefore, the system of equations is y=(40+5x)/x, and y=(60+3x)/x.

Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?

A number line with a closed circle on 3 and shading to the right
A number line with a closed circle on 3 and shading to the left
3 greater than or equal to x
x less than or equal to 3

Answers

The answer is A A number line with a closed circle on 3-

Answer:

The correct option is 1.

Step-by-step explanation:

The given inequality is

[tex]2(x-2)\leq 2[/tex]

Divide both the sides by 2.

[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]

[tex](x-2)\leq 1[/tex]

Add 2 on both the sides.

[tex]x-2+2\leq 1+2[/tex]

[tex]x\leq 3[/tex]

The value of x is than or equal to 3. In other words 3 greater than or equal to x.

Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.

Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.

Therefore the correct option is 1.

a cookie recipe calls for 2/3 cup of sugar if you have three cups of sugar in your pantry how many batches of cookies can you make

Answers

Hello!

2/3 × 3 = 2

You can make 2 batches of cookies.

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Please help fast!

Answers

To answer this you could write the first rate that is given (12 plants: 1.5 hours in fraction form and make it equivalent to a second rate of x: 1 hour. X represents the number of plants in an hour.

You can use cross products to solve for x. Please see the attached picture for the steps. The answer is 8 plants.

Final answer:

Samantha can pot 8 plants in 1 hour.

Explanation:

To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.

If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:

12 plants / 1.5 hours = x plants / 1 hour

To solve for x, we can cross multiply:

12 * 1 = 1.5 * x

12 = 1.5x

To isolate x, divide both sides of the equation by 1.5:

x = 12 / 1.5

Simplifying the equation, we get:

x = 8

Therefore, Samantha can pot 8 plants in 1 hour.

The semicircle shown at left has center X XX and diameter W Z ‾ WZ start overline, W, Z, end overline. The radius X Y ‾ XY start overline, X, Y, end overline of the semicircle has length 2 22. The chord Y Z ‾ YZ start overline, Y, Z, end overline has length 2 22. What is the area of the shaded sector formed by obtuse angle W X Y WXYW, X, Y?

Answers

Triangle XYZ is equilateral, so the central angle of the sector is 120°, or 2π/3 radians. The area of a sector of central angle β is given by
.. A = (1/2)r^2*β . . . . . . β in radians
Your sector's area is
.. A = (1/2)*2^2*(2π/3) = 4π/3 . . . . square units

The area of the shaded region is 4π/3 square units.

We have given that x= center diameter =wz w and z end over line radius=2

Triangle XYZ is equilateral,

What is the central angle of equilateral ?

120 degrees

so the central angle of the sector is 120°,

In radian

=120×[tex]\pi[/tex]/180

=2π/3 radians.

The area of a sector of central angle β is given by,

[tex]A = (1/2)r^2(\beta )[/tex] . . . . . . β in radians

[tex]A = (1/2)*2^2*(2\pi /3)[/tex]

= 4π/3 . . . . square units

Therefore the area of the shaded region is 4π/3 square units.

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Solve the equation using square roots. x2 -9=0

Answers

x^2 - 9 = 0
x^2 = 9
x = 3

3^2 - 9 = 0
9 - 9 = 0
0 = 0

The answer is x = 3

Hope this helps =)

Answer: x = 3, x= - 3

Step-by-step explanation:

x^2 - 9 = 0

=> x^2 = 9

=> x = 3, x= - 3

Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter

Answers

For this case what you should know is that you should model the problem as a triangle with a right angle.
We then have the following trigonometric relationship:
Tan (30) = y / 200
Clearing the value of and we have:
y = 200 * tan (30)
y = 115.4700538
Nearest foot:
y = 116 feet.
Answer:
the helicopter is 116 feet above the ground

beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?

Answers

Final answer:

To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.

Explanation:

Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).

Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.

Plugging in the values:

Total Payment = $17,000 + ($17,000 x 0.0425 x 4)

Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.

The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack price?

Answers

30%. 40-28 =12. 12/40 =30%

Need Help! I don't get it

Answers

well hmmm let's say you take the car and go in the city for 60 miles with it, well, the car can do 60 miles per gallon, since you just drove it for 60 miles, you only spent 1 gallon of gasoline then.

that only happens if you drive it for 60 miles, what if you drive it for more, let's do a quick table on that,

[tex]\bf \begin{array}{ccll} miles&cost\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 60&3.6(1)\\\\ &3.6\left( \frac{60}{60} \right)\\\\ 120&3.6(2)\\\\ &3.6\left( \frac{120}{60} \right)\\\\ 180&3.6(3)\\\\ &3.6\left( \frac{180}{60} \right) \end{array}[/tex]

and so on, now let's check if you less than 60 miles,

[tex]\bf \begin{array}{ccll} miles&cost\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 40&3.6\left( \frac{40}{60} \right)\\\\ 20&3.6\left( \frac{20}{60} \right)\\\\ 10&3.6\left( \frac{10}{60} \right) \end{array}[/tex]

so, if you divide the amount of miles driven, by 60, when you have driven it for 120 miles, 120/60 is just 2, and the cost is for 2 gallons, or 3.6 * 2, which is 7.2 bucks, for 180 miles is 180/60 or 3 gallons for 3.6 * 3 bucks, and so on.

now, what if you drive it instead for "m" miles?

[tex]\bf \begin{array}{ccll} miles&cost\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ m&3.6\left( \frac{m}{60} \right)\\\\ \end{array}\implies c=3.6\left( \cfrac{m}{60} \right)\implies c=\cfrac{3.6m}{60} \\\\\\ c=\cfrac{3.6}{60}m\implies c=0.06m[/tex]

What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3

Answers

First, We observe that the function is a parabola that grows
For this case, we must first graph the function to observe the behavior of the same.
We see that the vertex of the function is located at the point:
(x, y) = (- 2, -3)
The point is a minimum.
Answer:
(x, y) = (- 2, -3)
It is a minimum.
See attached image.

Quadrilateral ABCD is inscribed in a circle.

What is the measure of angle A?

Enter your answer in the box.

m∠A= ____°

Answers

2(4x+5)+2(x+15)=360
8x+10+2x+30=360
10x=320
x=32

∠A=4×32+5=133º

Answer:

133

Step-by-step explanation:

Given is a cyclic quadrilateral ABCD.

We know that in a cyclic quadrilateral, opposite angles are supplementary.

A+C =180

Given that A = 4x+5 and C = x+15

Add these and equate to 180

[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]

Verify:

When x= 32, Angle C = 47

A+C = 133+47 = 180

Hence right answer

I need help I would really thank wheeler answers this for me

Answers

It helps immensely if you know your times tables.

a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2

b) 45 = 5*9 = 5*3*3 = 3^2*5

c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.

d) The least common multiple can be found a couple of ways.

.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180

.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180

Write the equation of the function graphed.

a)f(x) = |x + 4|

b)f(x) = |x – 4|

d)f(x) = |x| + 4

d)f(x) = |x| – 4

Answers

The correct answer is: [D]: " f(x) = |x| – 4 " .

{that is, the last answer choice given.}.
_______________________________________________________
Note:

This graph contains the points: " (-4, 0) " ; and " (0, 4) " .
________________________________________________________
The last answer choice given: [D]: " f(x) = |x| – 4 " ; is the only answer choice containing BOTH points.
________________________________________________________

the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?

Answers

x+y=15,
x-y=3
the easiest way is the find out x and y first:
add up the two equations: 2x=18, x=9
plug x=9 in either equation, you get y=6
so xy=6*9=54
Another way to do it:

(x+y)²=15²=225 =>x²+2xy+y²=225
(x-y)²=3²=9 =>x²-2xy+y²=9
subtract one equation from the other: 4xy=225-9=216, xy=54

The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that sum of the x and y is 15

So,

x + y = 15

And difference

x - y = 3

By adding both equations,

2x = 18

x = 9 and y = 6

So their product 9 × 6 = 54.

Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".

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these are so hard please help me and answer the last 4 I posted

Answers

kai:
6 days = 1 shed
1 day = 1/6 shed

Mark:
8 days = 1 shed
1 day = 1/8 shed

Together:
1 day = 1/6 + 1/8 shed

Ans: 1/6d + 1/8d = 1

The first thing you should know is that the rate of each one is:
Kaitlyn = 1/6
Mark = 1/8
Then,
d = number of days.
The equation then if they work together is:
1 / 6d + 1 / 8d = 1
answer:
the equation for number of days it would take to build the sheld together is
1 / 6d + 1 / 8d = 1

A total of 60% of the customers of a fast food chain order a hamburger, french fries, and a drink. if a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered?

Answers

This is called a binomial probability experiment.

Let n = 15.

Let p = 0.6

The binomial distribution formula is represented by:

p = (n r) [tex] p^{r} [/tex] [tex] q^{n-r} [/tex]

After plugging p and n into our distribution, we have 0.403. This means that the probability that 10 or more will show that the above three food items were ordered.

The probability that 10 or more will show that the above three food items were ordered is 0.403.

What is Binomial Distribution?

The binomial distribution summarises the number of trials or observations where each trial has the same chance of achieving a specific value. The binomial distribution indicates the likelihood of observing a given number of successful outcomes in a given number of trials.

Given:

n= 15

p= 0.6

q= 1-0.6= 0.4

r= 10

Now, P(10<=x<=15) = 1 - binomcdf (15,0.6,9) = 0.4032

Then, P (x≥0) = [tex]\sum_{x=0}^n[/tex][tex]^{15}C_{10}(0.6)^{10}(0.4)^{10}[/tex]

= [tex]\sum_{x=0}^{15[/tex] 3003 x (0.0060466176) (x 0.0001048576)

= 0.403

Hence, the probability is 0.403.

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help help help !!!!!!!!

Answers

4/5 × 12/2
4 × 12/5 × 2
48/5 × 2
48/10

= 24/5

ok
Keep, Change, Flip.

4/5 divided by 2/12.

Keep 4/5
Change division to multiplication.
Flip 2/12 to 12/2

4/5 x 12/2 =
24/5

Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?

Answers

It's A i just took the test.

Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)

Answers

Consider this option (2 ways for this):
1. Probability=1-[probability_all_boys].
for [probability_all_boys]=1/[all_possible_combinations];
for [all_combinations]=2³=8. It means that
Probability=1-(1/8)=7/8=0.875.
2. Probability=[needed_cases]\[all_possible_cases];
all possible combinations are:
bbb;ggg;bgg;bgb;bbg;gbg;gbb;ggb; - (where 'g' - girl, 'b' - boy) total 8.
needed cases: ggg;bgg;bgb;bbg;gbg;gbb;ggb, - total 7.
Probability=7/8=0.875

Final answer:

The probability of having at least one girl when a couple has three children can be found by calculating the probability of having all boys and subtracting it from 1.

Explanation:

Probability that at least one child is a girl:

Find the probability of having all boys: (1/2)³ = 1/8

Subtract this from 1 to get the probability of having at least one girl: 1 - 1/8 = 7/8

If two chords are the same distance from the center of a circle, then they are _____________.
a. parallel
b. congruent
c. perpendicular

Answers

Answer: Congruent

Step-by-step explanation:

If two chords are the same distance from the center of a circle, then they are congruent, the correct option is B.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

The distance between the chords is same

Now,

According to 1 and 2, if two chords are the same distance from the center of a circle, then they are congruent. This means they have the same length and subtend equal angles at the center.

Therefore, the answer will be congruent.

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What would be the radius of A= 530.66 square meter

Answers

530.66÷3.14=169
√169=√r²
13=r

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