the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work

Answers

Answer 1

Let b coffee bags, c cups and lb pounds of the coffee:

b= 2.5 lb

.25lb=8 c

2.5lb * 8c/.25lb= 80 c

4(80c)= 320 c

320c - 296c = 24 cups was left.

Related Questions

the dimensionn of the box that a radio came in are 12in. 8in by 5in

Answers

200 in i think i hope you get 100%

Final answer:

The volume of the box is calculated by multiplying its length, width, and height together. The volume of the box that the radio came in is 480 cubic inches.

Explanation:

The dimensions given for the box are its length (12in.), width (8in.), and height (5in.). In mathematics, you can use these three dimensions to calculate the volume of the rectangular box. The volume of a rectangular box is calculated by multiplying these three dimensions together. So, the volume of the box is 12in. * 8in. * 5in. = 480 cubic inches. Remember, when you multiply three dimensions together, the unit is cubic (inches cubed in this case), because you're dealing with a three-dimensional space.

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help subtraction problem
5.30 - 3.75

Answers

1.55 is the answer to your question.

5.30 - 3.75 = 1.55. Have a great day

Value of m varies directly as value of n and n=5 when m=12. What is n when m=18?

Answers

Simplify the problem down, so:

m = 12 & n = 5
m = 6 & n = 2.5 (divided each number by 20)

Now m is a factor of 18. Multiply each number by 3.
Answer: m = 18 & n = 7.5

Answer:

7.5

Step-by-step explanation:

Fernando poured water from one-pint bottles into a three-gallon bucket. How many pints of water could the bucket hold?

Answers

24 pints is the answer

24

One gallon holds eight pints. 8 x 3 = 24

A circle has an area of 19 5/8 square units what is the radius of the circle

Answers

Area of circle = πr²

19 5/8 = πr²

r² = 19 5/8 ÷ π

r² = 6.25

r = √6.25 = 2.5 units

Answer: 2.5 units

HELP NEEDED

Use the functions h(x) = 5x − 2 and t(x) = 4x + 6 to complete the function operations listed below.

Part A: Find (h + t)(x). Show your work.

Part B: Find (h ⋅ t)(x). Show your work.

Part C: Find h[t(x)]. Show your work.

Answers

Part A: Find (h + t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h + t)(x) = 5x − 2 + 4x + 6
(h + t)(x) = 9x +4

Part B: Find (h ⋅ t)(x). Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
(h ⋅ t)(x) = (5x − 2) (4x + 6)
(h ⋅ t)(x) = 20x^2 + 30x - 8x - 12
(h ⋅ t)(x) = 20x^2 + 22x - 12

Part C: Find h[t(x)]. Show your work.
h(x) = 5x − 2 and t(x) = 4x + 6
so
h[t(x)] = 5(4x + 6) − 2
h[t(x)] = 20x + 30 - 2
h[t(x)] = 20x + 28

hope all help.

the area of a circle can be tripled by multiplying the radius by what factor?

Answers

a whole circle = to 360 so you have to think of the radius to a factor for multiplying

By 1.73.

Because the formula for the area of a circle is [tex] \pi [/tex]×r².

So let us say the radius for circle A is 1. so area is equal to. [tex] \pi [/tex]×2²
which is equal to 12.56

Now you need to triple the area, so if i am in the right path you would multiply area of circle A 3 times leaving you with 37.699

Now, we make use of the equation solving skills.

The way to find the radius is.

A= [tex] \pi [/tex]×r²

So

√(A÷[tex] \pi [/tex])

So puting and solving the equations the factor of multiplication gives us 1.73

How many pounds of peanuts will each person get if 3 people share 1/5 pounds of peanuts equally?

Answers

3 people share 1/5 pound

1 person = 1/5 ÷ 3 = 1/5 x 1/3 = 1/15 pound

Answer: 1 person gets 1/15 pounds of peanuts.

Pint-Sized Portraits has 4 different backgrounds and 5 poses in which to photograph children. How many different pictures are there to choose from?

9

20

120

Answers

We have that every background can be combined to any of the poses and each background yields a unique pose. So, for each unique background we get a 5 different photographs. Since there are 4 backgrounds, we get in total 4*5=20 photos. This can be generalized in other problems too; for example if there are 3 dinner dishes and 6 lunch dishes on a menu, there are 3*6=18 combinations.

Perform the operation 8 1/2 + 5 1/8

Answers

Hey there!

Here is your answer:

The proper answer to this question is option "[tex] \frac{109}{8} [/tex]

Reason:

First write down the equation:

8[tex] \frac{1}{2} [/tex]+5[tex] \frac{1}{8} [/tex]

Transform the mixed numbers into improper fractions.

8 [tex] \frac{1}{2} [/tex]=[tex] \frac{17}{2} [/tex]
&
5 [tex] \frac{1}{8} [/tex]= [tex] \frac{41}{8} [/tex]

Now add:

17×4=68
2×4=8
+
41×1=41
8×1=8
68+41=109

=[tex] \frac{109}{8} [/tex]

Therefore the answer would be 109/8!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

take 8 1/2 and turn it into 8 4/8 then add it to 5 1/8 to get the total of 13 5/8

A prism is filled with 44 cubes with 1/2 units side lengths. What is the volume of the prism in cubic units?

Answers

The volume would be 5.5 cubic units.

First, we need to find the volume of one cube. It would be LWH.
0.5 x 0.5 x 0.5 = 0.125

Now, just multiply that volume by 44.
0.125 x 44 = 5.5

Which of the following is a characteristic of Euclidean geometry?

Answers

The parallel postulate is true?

Answer:

c. the parallel postulate is true.

Step-by-step explanation:

Jerome bought a book on sale at the store. The sale price of the book was $8.96. Write and solve an equation to determine the regular price of the book to the nearest cent

Answers

Final answer:

The regular price of the book is $8.96.

Explanation:

To determine the regular price of the book, we can set up an equation using the sale price and the regular price. Let's say the regular price is 'x'.

So the equation becomes:

8.96 = x

To solve for 'x', we can simply state that the regular price of the book is $8.96.

What is the first quartile of the data set? {51, 42, 46, 53, 66, 70, 90, 70} A-48.5 B-59.5 C-61 D-80

Answers

The first quartile is the middle of the lower half of the data.

To find this you must:
1. Order the data from least to greatest.
42, 46, 51, 53, | 66, 70, 70, 90
2. Next, find where the middle of the data set it - see the line above
3. Look at the lower half of the data - see the bold half above.
4. Find the middle of that half - see the underlined numbers above.
5. Find the middle of the 2 numbers
(46 + 51)
2 = 48.5

48.5 is the 1st quartile.

Answer:

I'm positive the answer is 48.5

The mean of 3 consecutive terms in an arithmetic sequence is 10, and the mean of their squares is 394. What is the largest of the 3 terms?

Answers

let the numbers be:
a, a+b, a+2b
mean of the numbers is:
(a+a+b+a+2b)/3=10
(3a+3b)/3=10
a+b=10
thus second term is 10

The sum of square will be:
((10 - b)² + 10² + (10 + b)²) / 3 = 394
(100 - 20b + b² + 100 + 100 + 20b + b²) / 3 = 394
(300 + 2b²) / 3 = 394
(150+b²)=591
b²=441
b=-21,21

thus the numbers will be:
10-21, 10, 10+21
=-11,10,31

How can we get the answer for...Decrease £8 by 20%

Answers

multiply by 0.8. do 8×.8

20/100 x 8 = 1.6
8-1.6= 6.4
therefore the answer is £6.40

A sample of 81 was taken from a population with a standard deviation of 45 kilograms. If the sample mean was 112 kilograms, the mean of any other sample of 81 will be within what range 99.7% of the time?

A. 97 kilograms to 127 kilograms
B. 102 kilograms to 122 kilograms
C. 92 kilograms to 132 kilograms
D. 107 kilograms to 117 kilograms

Answers

Sample size = n = 81
Population Standard Deviation = s = 45
Sample Mean = x = 112

Since, population standard deviation is known, we will use z distribution to find the confidence interval.

The critical z value for 99.7% is 2.968

So, the confidence interval will be:

[tex](112-2.968* \frac{45}{ \sqrt{81} }, 112-2.968* \frac{45}{ \sqrt{81} }) \\ \\ (97.16, 126.84)[/tex]

Rounding of to nearest integers the confidence interval will be 97 to 127.

So, option A gives the correct answer

How would you find the number, 3/7 of which is equal to t? (let's say it was any number, just need the equation)

Answers

Let the number be x
(3/7) x = t
I can't think of anything useful to add to this. How about an example?

Let x = 49

(3/7) x = t
(3/7) * 49 = t seven will go into 49
3 * 49 = t
t = 147

Plzz help me im giving 12 points

Answers

this Is very simple.

30m + 50 = 20m + 100

This is the new equation needed to solve for m.
first we must isolate "m".

30m + 50 = 20m + 100
- 50 - 50

30m = 20m + 50
-20m -20m

10m = 50

divide both sides by 10 to isolate "m".

m = 5

hope this helps!

dividing whole numbers 22 divided by 300

Answers

Answer:

22 divided by 300 will be equal to 0.07333.

Step-by-step explanation:

Dividing 22 by 300

[tex]\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}[/tex]

[tex]\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}[/tex]

[tex]\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}[/tex]

The value of [tex]\frac{11}{15}=0.7333[/tex]

[tex]\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333[/tex]

So, the value of 22 divided by 300 will be equal to 0.07333.

Final answer:

Dividing 22 by 300 gives a quotient of 0.0733, representing the proportion of 22 out of 300.

Explanation:

To perform the division of the whole numbers 22 and 300, you simply divide 22 by 300 using long division or a calculator. However, since 300 is larger than 22, the result will be a decimal or fraction that is less than 1. Mathematically represented as:

22 ÷ 300 = 0.0733

In a real-world scenario, this number could be interpreted as the proportion or percentage of a whole that the number 22 represents out of 300.

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If the measure of angle H is 64°, which angles in the diagram have a measure of 116°?

There should be more than 1 answer

A) Angle G

B) Angle F

C) Angle B

D) Angle A

E) Angle E

F) Angle C

G) Angle D

Answers

I think it’s A, D, E, and then F

The answers is A, C, E and G.

Please help......

1. Write an approximate equation of the line of best fit in slope-intercept form.

2. Use the equation from part B to predict the resting heart rate of a person who exercises 30 minutes per day. Show your work.

3. Explain how you found your answer to part C.

Answers

1. using 2 dots that are on the blue line (0,72) and (6,69)
find the slope:

slope = change in Y over change in x = 69 - 72 / 6-0 = -3 / 6 = -1/2
equation would be y = -1/2x + 72

2. y = -1/2x+72 = -1/2(30) +72 = -15 +72 = 57 beats per minute

3. replaced x in the equation with 30 to find the beats per minute for exercising 30 minutes

Given: KLMN is a trapezoid, KF =10 MF ║ LK AKLMF = AFMN Find: KN

Answers

You can see the trapezoid in the picture I have attached.
The trapezoid is shown in the picture attached.

The area of a triangle is given by the formula:
A(FMN) = (b × h) / 2
   = (FN × h) / 2

We can infer that KLMF is a parallelogram. Indeed:
LK // MF, and LM // KF.

The area of a parallelogram is given by the formula:
A(KLMF) = b × h
   = KF × h
               = 10 × h

We know that the two areas are congruent, therefore:
A(KLMF) = A(FMN)
FN × h / 2 = 10 × h
The two heights are the same, and then cancel out
FN / 2 = 10
FN = 20

Now we can calculate KN by simply adding KF and FN:
KN = KF + FN = 10 + 20 = 30

Hence, KN is 30 units long.

Answer:

Step-by-step explanation:

My grade is a 77%, if i get a 0% on a paper worth 30% of my grade, what will my grade be now??

Answers

[tex]Grade=Paper+Other[/tex]
[tex]Grade=(Grade_{paper}\times Value_{paper})+(Grade_{other}\times Value_{other})[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times (1-30\%))[/tex]
[tex]Grade=(0 \times 30\%)+(77\% \times 70\%)[/tex]
[tex]Grade=0+53.9\%[/tex]
[tex]Grade=53.9\%[/tex]

Jamelia estimates the square root of 72 in the following way:
√72 = 2√36 = 2*6 = 12

(a) Explain why her reasoning is incorrect.

(b) Estimate the square root of 72 to the nearest tenth. Show your work.

Answers

Part a)
we have that
√72
√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2

alternative method
72 is equal to-------> 2³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2

Part b)Estimate the square root of 72 to the nearest tenth

we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5

the answer Part b) is 8.5

Can please help!
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. Show your work

Answers

Answer:
equation is: width = area / length
width = 62.5 yd

Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²

For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd

Hope this helps :)

Jill earned $40 from a carpool plus $9 per hour babysitting this week. Which of th following expression beat represents jill’s Income for the week?

Answers

40+9x should be the equation

McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?

Answers

$1499 is the answer you multiply 100 by 15 then 100 by 29.99 and get 2999 and 1500. You subtract them together 2999-1500 to get 1499

When two six-sided dice are rolled, there are 36 possible outcomes.

a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

Answers

A. 33/36 or 92% B. 26/36 or 72%

A. List the possibilities that do have a sum of 4. (1,3) (3,1) (2,2). 3/36. subtract 3/36 from the whole to get probability it does not have a sum of 4. 36/36-3/36=33/36 or 92%

B. List the possibilities if is less than or equal to 5 because it will be a smaller amount than if it is greater and subtract like we did in the previous problem. (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1). 10 total 36/36-10/36= 26/36 or 72%

Final answer:

The probability that the sum of two six-sided dice is not 4 is 11/12 or 92%. The probability that the sum is greater than 5 is 5/12 or 42%.

Explanation:

The subject of this question is probability, which is a branch of mathematics. When two six-sided dice are rolled, there are indeed 36 possible outcomes.

There are three possible ways to get a sum of 4: (1,3), (2,2), and (3,1). So the probability that the sum is not 4 is 1 - (3/36) = 33/36. This simplifies down to 11/12, and as a percent it rounds to approximately 92%.

There are 15 different combinations that result in a sum that is greater than 5. So the probability is 15/36, which simplifies to 5/12. This roughly translates to 42% when expressed as a percentage.

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It says in abc, What is m

Answers

The interior angle measures of a triangle add up to 180°.

Make ∠A + B + C = 180.

x + (4x) + (5x - 13) = 180
Add all like terms.

10x - 13 = 180
Add 13 to both sides.

10x = 193
Divide both sides by 10.

x = 19.3

Now plug in x into m∠C, (5x - 13).
5(19.3) - 13 = 83.5

The m∠C is 83.5°.

Other Questions

What are three reasons children may experience speech difficulties? Which box plot represents the data? 30, 35, 25, 5, 5, 25, 40, 45, 50, 10, 15, 40 The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment Measuring the Orbital Speeds of PlanetsIntroductionA Boeing 747 can fly 624 miles per hour. Thats pretty fast! Right now, Earth and other objects in thesolar system are orbiting the Sun, but how fast are these objects moving? In this assignment, you willcalculate the orbital speeds of objects in our solar system.Part A: Planetary PeriodsIn the 1600s, Johannes Kepler discovered three laws that govern the motion of objects around the sun.Keplers first law explains that objects travel in an elliptical, or oval-shaped, path around the sun.Keplers second law explains that an object travels faster in its orbit when it is closer to the Sun andslower in its orbit when it is farther away. In this activity, you will investigate Keplers third law: therelationship between an objects distance from the sun and the time it takes the object to complete anorbit around the sun.Access the Gizmo from within today's lesson. The exploration guide found within this simulation willhelp you work through the Gizmo. Click on the Lesson Materials link, which appears on the top leftcorner of the screen once you enter the simulation, to access the student exploration sheet. Use it asyou work through Activity C and answer all parts.Part B: Calculating Orbital SpeedEvery object moves at a different average speed in its orbit around the Sun. In this activity, you will usedata collected from Part A to calculate the average orbital speeds of each planet and of Pluto.1. Recall that the path an object takes around the Sun is an ellipse, and not a circle. However, toapproximate the circumference, or length, of each orbit, you will treat the orbits as circles. Goback to your notes in your student exploration sheet from Part A. Using the mean orbital radius(R) that you recorded, calculate the circumference of each planets orbit and record it in thetable below. Use the following formula to calculate the circumference:Circumference 2 = r2. Using the periods you recorded in your student exploration sheet and the circumference of orbitthat you just calculated, calculate the average orbital speed of each planet and record it in thetable below. Use the following formula to calculate speed:Distance Circumference Average Orbital Speed Time Period = =The units of your answer will be in AU/year.3. To give you a better perspective of how fast these orbital speeds really are, convert the orbitalspeeds you just calculated from AU/year to miles/hour. 1 AU/year = 10,604 miles/hour. Recordyour answers in the table below.TableObjectMeanorbitalradius (AU)(copy from#6 in part A)Circumference ofOrbit (AU)Period(EarthYears)(copyfrom #6in partA)Orbital Speed(AU/year)Orbital Speed(miles/hour)MercuryVenusEarthMarsJupiterSaturnUranusNeptunePlutoDrawing Conclusions4. Which planet takes the longest amount of time to travel once around its orbit? Which planettakes the shortest amount of time?5. How does an increase in orbital radius affect average orbital speed?ExtensionperihelionIn astronomy, the term refers to the point in the orbit of an asteroid, comet, or planet atwhich it is closest to the sun. Aphelion refers to the point at which the object is furthest away from thesun. Research facts about the dwarf planet Ceres. Calculate the average orbital speed of Ceres inmiles/hour when it is closest to the sun and when it is farthest away. The equilibrium constant for the reaction sr(s) + mg2+(aq) sr2+(aq) + mg(s) is 3.69 1017 at 25c. calculate e o for a cell made up of sr / sr2+ and mg / mg2+ half-cells. How did a move toward mercantilism strengthen royal power?a. by increasing the amount of a nations importsb. by allowing nobles to control taxationc. by creating colonies that supported the kingd. by ensuring more economic prosperity for the merchant and middle classes According to abraham maslow, people are motivated by: question 3 options:a.optimal arousal.b.drive reduction.c.a hierarchy of needs. and) instincts. Without the skeletal system, the body could not fight off infection. Please select the best answer from the choices provided. T F During the 1950's, the typical suburban male was all of the following except white, young, blue-collar, or married with children? What layer of the rainforest do gliding leaf frogs live in? Francesca is in junior high, and her parents have decided to divorce, due to a high-conflict marriage. despite the difficulty of adjusting, francesca may be better off because children in high-conflict intact families ____________ than children in divorced families. ) a pair of fair dice is rolled. what is the probability that the sum of the top faces is a number 10 or greater? Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero. Encryption and decryption algorithms are known as ________________. How does the chef justify the theft of the professors briefcase and identity? which visual aid is best for showing comparative data? A. photograph B. video clip C. chart D. diagram Ricardo just received a shipment of 50 tool sheds for his garden supply store. Each shed costs him $40. Which of the following could Ricardo use to find the total amount he will pay for the tool sheds? Why is the nitrogen cycle important for the survival of organisms in an ecosystem which statement best describes Gay-Lassacs law What body mass index is required to be classified as "obese"?