Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.


What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.

Answers

Answer 1

Answer:

The least number of spoons = 11 spoons

The least number of forks = 6 forks

Step-by-step explanation:

We are told in the question:

Spoons only come in bags of 12

Forks only come in bags of 22.

This is an LCM question, hence, we find the Multiples of 12 and 22

The first common multiple is found and this is the lowest common multiple.

Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156

Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176

Therefore,

LCM(12, 22) = 132

The least number of supplies she can have is 132.

So therefore,

The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons

The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.


Related Questions

Which of the following represents this function written in intercept form
y= - x2 – x+ 6

A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)

Answers

Answer:

v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12

v = 12x²-14x+12  standard form

Step-by-step explanation:

what is 2.261. rounded to the nearest half​

Answers

Answer:

Step-by-step explanation:

if round to the nearest tenth is 2.3

if round to the nearest hundred is 2.26

if round to the nearest thousand is 2.261

Hope this help, if it does mark me brainliest

Morgan born is paid $11.20 an hour for a 40-hour week.Her estimated benefits are 33% of her wages.What is value of her total yearly employee benefits?

Answers

Answer:

Как ты это делаешь

Step-by-step explanation:

A frame shop charges according to both the amount. Of framing needed to surround the picture and the amount of glass needed to cover the pictures
a. Find the area and perimeter of the trapezoid-shaped framed picture to the right
b. Identify whether the frame has to do with perimeter or area and the same with the glass
a. The area of the picture is
b. The perimeter is

Answers

Answer:

A: The area of it would be the equation (10x8)x(26)= 2,080 Inches

The perimeter would be (10+32+10+20)= 72

B: Perimeter on the top part of the frame

C: The area of it would be the equation (10x8)x(26)= 2,080 Inches

D: (10+32+10+20)= 72

Plz mark me brainsliestttt!!

Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438

Answers

Answer: The answer is 388$

Step-by-step explanation:

First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds.  So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:

304 - 38=266

Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:

266/38=7

Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:

y= 7x+ 38

y= 7(50) + 38= 388$

*Don't forget the dollar sign :) *

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there

Answers

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Marcos talks to his grandfather in Alabama for about 95 minutes per month. About how long does he talk each day? (Hint: Use 1 month = 30 days).

Answers

Answer:

Divide 95 by 30

Step-by-step explanation:

Answer:

0.315

Step-by-step explanation:

divide talking time by number of days in month

Use dimensional analysis to convert the quantity to the indicated units.

27 ft to in

in. (Round to the nearest hundredth as needed.)

Answers

Answer:

27 ft = 324 inches

Step-by-step explanation:

We want to use dimensional analysis to convert a quantity here

27 ft to inches

Mathematically;

12 inches = 1 ft

so;

x inches = 27 ft

So the number of inches will be 27 * 12 = 324 inches

Is the simplified form of 2^3x2^6 rational

Answers

Answer: it is not rational.

Step-by-step explanation: 2 to the power of 3 is 8. 2 to the power of 6 is 64. 64x8 is 512. 512 is not a perfect square therefore it is a irrational number.

Graph the function.
y=-1/2(x+2)^2+3

Answers

Hope this is helpful… Also if you have trouble graphing there is a website called desmos, it is really helpful and I really do recommend it.

2x + 2y + z = 2
-x + 3y + z = -2
3x + 2z = 7

Answers

Answer:

[tex]x=1,\:\\z=2,\:\\y=-1[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2x+2y+z=2\\ -x+3y+z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}-x+3y+z=-2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x+6y+2z=-4\\\\\begin{bmatrix}2x+2y+z=2\\ -2x+6y+2z=-4\\ 3x+2z=7\end{bmatrix}\\\\-2x+6y+2z=-4\\+\\\underline{2x+2y+z=2}\\8y+3z=-2\\\\\begin{bmatrix}2x+2y+z=2\\ 8y+3z=-2\\ 3x+2z=7\end{bmatrix}\\\\\mathrm{Multiply\:}2x+2y+z=2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:6x+6y+3z=6\\\\\mathrm{Multiply\:}3x+2z=7\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+4z=14\\\\[/tex]

[tex]\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ 6x+4z=14\end{bmatrix}\\\\6x+4z=14\\-\\\underline{6x+6y+3z=6}\\-6y+z=8\\\\\begin{bmatrix}6x+6y+3z=6\\ 8y+3z=-2\\ -6y+z=8\end{bmatrix}\\\\\mathrm{Multiply\:}8y+3z=-2\mathrm{\:by\:}3\:\mathrm{:}\:\\\quad \:24y+9z=-6\\\\\mathrm{Multiply\:}-6y+z=8\mathrm{\:by\:}4\:\mathrm{:}\:\\\quad \:4z-24y=32\\\\\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ -24y+4z=32\end{bmatrix}\\\\-24y+4z=32\\+\\\underline{24y+9z=-6}\\13z=26[/tex]

[tex]\begin{bmatrix}6x+6y+3z=6\\ 24y+9z=-6\\ 13z=26\end{bmatrix}\\\\Solve\:13z=26\:for\:z\: : , z= 2\\\\\mathrm{For\:}24y+9z=-6\mathrm{\:plug\:in\:}z=2\\\\Solve\:24y+9\times\:2=-6\:for\:y\:,y=-1\\\\\mathrm{For\:}6x+6y+3z=6\mathrm{\:plug\:in\:}z=2,\:y=-1\\\\Solve\:6x+6\left(-1\right)+3\times\:2=6\:for\:x\:,x=1\\\\x=1,\:z=2,\:y=-1[/tex]

A number increased by sixteen is equal to thirty-seven

Answers

Answer:

21

Step-by-step explanation:

It would have to be twenty one because thirty seven minus sixteen is twenty one it's simple math-

21, simple math just count up

1) If a bookshelf is 28 inches long, how many 1 inch books will fit on the bookshelf?

Answers

Answer:

28

Step-by-step explanation:

28/1 = 28

28 books would be able to fit on the bookshelf is it is 28 inches an the books are all 1 inch you can fit 28

Translate this phrase into an algebraic expression.

8 more than twice Jenny's savings

Use the variable ; to represent Jenny's savings.

Answers

J=8+2x
J represents her savings
She has 8 more (equivalent to additina) than 2x the savings(equivalent to multiplication)

The given phrase can be written in terms of expression as 2x + 8.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given word problem can be solved as follows,

Suppose Jenny's savings is x.

Then, twice of the saving = 2x.

And, 8 more than it is equal to 2x + 8.

Hence, the given word problem can be written in terms of algebraic expression as 2x + 8.

To know more about algebraic expression click on,

brainly.com/question/953809

#SPJ5

Solve for b. Show your work: 3b+2(b-3)=4 HELP

Answers

Answer:

b=2

Step-by-step explanation:

First multiply everything in the parenthesis by the 2 outside of them then combine like variables to get the equation 5b-6=4 then subtract 6 from both sides then divide by 5 to get b=2.

Sickle-cell disease is a painful disorder of the red blood cells that in the United States affects mostly African Americans. To investigate whether the drug hydroxyurea can reduce the pain associated with sickle-cell disease, a study by the National Institutes of Health gave the drug to 150 sickle-cell sufferers and a placebo to another 150 sufferers. The researchers then counted the number of episodes of pain reported by each subject. What is the response variable in this study

Answers

Answer:

The response variable is; reduction in the pain associated with sickle-cell disease.

Explanation:

Note, a response variable (dependent variable) simply refers to resulting effect (either significant or insignificant effect) of the independent variable on the subjects of the experiment.

In other words, the effect of the drug hydroxyurea after the experiment would show whether it leads to or not lead to a reduction in the pain associated with sickle-cell disease.

An elevator descends at a constant speed. What is the
change in elevation after 19 seconds?
Time
(Sec.)
1
6
10
12
Elevator Descent
Change in Elevation
(Meters)
-2.25
- 13.5
-22.5
- 27

Answers

Answer:

-42.75 meters

Step-by-step explanation:

You want to conduct a survey to determine the proportion of people who favor a proposed tax policy. How does increasing the sample size affect the size of the margin of error?
a. increasing n decreases E.b. increasing n increases E.c. increasing n will cause E to double in value.d. increasing n will not effect E.

Answers

Answer:

a. increasing n decreases E

Step-by-step explanation:

The sample size refers to the number (n) of units or observations taken from a population for a study. The results obtained from this sample size can be used to make generalizations about the entire population. The margin of error (E) is a measure of the sampling error or the percentage of the difference between the results obtained from the study and the true population value. The relationship between the sample size (n), and the Margin of error (E) is an inverse. That means

Sample size (n) ∝ 1/E

So, as the sample size increases, the margin of error decreases. This would be even more true if the accurate procedures for the experiment are followed.

A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?

Answers

Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

What are the six-digit grid coordinates for spot elevation 192

Answers

Answer:

750450

Step-by-step explanation:

Please help me!! Thank you

Answers

rate of change should be -3.5

A common multiple is 180 true or false

Answers

Answer:

False

Step-by-step explanation:

What is the slope of the line that passes through the points (−3, 1) and (1, −5) ? 1/2 −2/3 −3/2

Answers

Answer:

-3/2

Step-by-step explanation:

:)

Answer:

The answer is -3/2

Step-by-step explanation:

I took the test.

Have a great day!!

Mike buys a dvd set of a television series.each dvd has 6 episodes. There are 24 episodes. How many dvds are in the set?

Answers

Answer:

4 in one set

Step-by-step explanation:

So if 24%6= 4

PLEASE NEED HELP ASSP

Answers

The correction answer is division property

Answer:C

Step-by-step explanation:

The measure of an angle is 17 times the measure of its complementary angle what is the measure of each angle

Answers

Answer:

First, write an equation system for the problem

For example, x represents the first angle and y represents the second angle

An equation for "the measure of an angle is seventeen times the measure of a complementary angle" is

∴ x = 17y

The sum of complementary angle is 90°. It can be written as

∴ x + y = 90°

Second, use subtitution method to find the value of x and y

Subtitute x with 17y

x + y = 90°

17y + y = 90°

18y = 90°

y = 90°/18

y = 5°

Subtitute y with 5°

x = 17y

x = 17(5)

x = 85°

The measure of each angle is 5° and 85°

Pls answer fast Y=Mx+b for x

Answers

Answer:

y=mx+b

y=mx+b-b

y-b=mx

y-b/m = mx/m

y-b/m = x

Answer:

x = (y - b)/M.

Step-by-step explanation:

y = Mx + b

Mx = y - b

x = (y - b)/M.

Find the prime factorization of the number 8.​

Answers

Answer:

For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.

Step-by-step explanation:

Very intresting hope this helps

Ir[ Fairbanks, the temperature at 6:00 AM on Sunday is - 48°F. The weather forecast
predicts that a warming trend will raise the temperature to 0°F.
If the temperature rises an average of 16° a day, how many days will it take to get to 0?

Answers

Answer:

The answer is 3 days

Step-by-step explanation:

Divide 48/16=3

Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)

Answers

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

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