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

State the domain of the following mapping

Answers

Answer:

where's the map

Step-by-step explanation:

what is the answer for 14x divided by 7x

Answers

Answer:

2x

Step-by-step explanation:

You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.

Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?

Answers

Answer:

40

Step-by-step explanation:

Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165

In a certain college,20% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, what is the probability that exactly 7 belong to an ethnic minority?

Answers

Answer:

0.000786432

Step-by-step explanation:

In a certain college,20% of the physics majors belong to ethnic minorities

The proportion p = 20%

= 0.2

q = 1 - 0.2 = 0.8

1f 10 students are selected at random from the physics majors

n = 10

x = 7

The formula for Binomial Probability is

= nCx × p^ x × (1−p)^ n−x .

= 10C7 × p⁷ × (0.8) ^10 - 7

= 0.000786432

The probability that exactly 7 belong to an ethnic minority is 0.000786432


What is the solution to the system shown here?
x + y 25
x + y = 5

Answers

Answer:

no solution (parallel lines )=1/1=1/1=5/1

Step-by-step explanation:

70 + x + 55 + 30 = 180

Answers

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

Answer:

25. Hope this helps :)

Step-by-step explanation:

180-70=110

110-55=55

55-30=25

Your missing answer would be 25

X=25

What is the difference between 71.27 and38.86?

Answers

Answer:

32.41

Step-by-step explanation:

72.21 - 38.86 = ?

32.41

Hope this helps! <3

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

7 1 . 2 7

_- 3 8 . 8 6___

3 2 . 4 1

---> 32.41

Hope it helps you,

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Complete the following proof.

Answers

Answer:

BD = CA ⇒ Proved down

Step-by-step explanation:

From the given figure

∵ AB and CD are diameters in circle O

OB = OA = OC = ODradii

∵ AB ∩ CD at O

∴ ∠BOD and ∠COA are vertically opposite angles

∵ The vertically opposite angles are equal in measures

m∠BOD = m∠COA

→ In Δ OBD and Δ OCA

∵ m∠BOD = m∠COA ⇒ vertically opposite angles

∵ OB = OC ⇒ radii

∵ OD = OA ⇒ radii

Δ OBD and Δ OCA are congruent by SAS postulate

→ From congruency

BD = CA

Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?

Answers

Answer:

225776

Step-by-step explanation:

Trust me i got it right.

PLEASE HELP I HAVE TO GET THIS DONE

Answers

Answer: so the answer is A

Step-by-step explanation: -3/2

if you ever have a question like that again go to Math-way it is every helpful and easy.

Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar

Answers

Answer:

y=.60x

Step-by-step explanation:

where y is the amount of money Julie can expect to pay

where x is the amount of tomatoes she is buying

i dont understand what the key means, but this would be the appropriate model for this problem

Can i get brainliest please?

Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15

Answers

Answer:

8/15

Step-by-step explanation:

-4/5 ÷ -3/2

Copy dot flip

-4/5 * -2/3

Multiply the numerators

8

Multiply the denominators

15

Put the numerator over the denominator

8/15

Answer: 8/15

Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.

Calculate.
(2x105)(4.3x109)
Write your answer in scientific notation.

Answers

Answer:

9.8427x10⁴

Step-by-step explanation:

Answer:

98427x^2

9.8427x10^4

Step-by-step explanation:

X+ 2 = 5 and y-3 = 2

Answers

Answer:

x=3

y=5

because 5-2=3 so 3 is x

and 2+3 is 5 so y is 5

Answer:

X = 3, Y =

Step-by-step explanation:

This is because 2+3=5,

and5-3=2

Perform the indicated operation

3/4 divided by 1/3

Answers

Answer:

2 1/4

Step-by-step explanation:

3/4 ÷ 1/3 = ?

(to divide fractions faster you flip the second fraction so:)

3/4 x 3/1 = 2 1/4

ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need

Answers

You would need 3/4 cups of water.

Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.

Answers

Answer:

Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure

Step-by-step explanation:

From the question we are told that

The population proportion is  p=0.4

  The sample size is  n =  39

  The sample proportion is  [tex]\^ p = 0.43[/tex]

Generally for normal approximation to be used

       [tex]np > 10[/tex]

so np  =  39 * 0.4 =  15.6 > 10

   and [tex]n(1- p) > 10[/tex]

so   n(1-p ) = 39(1-0.4) = 23.4 >10

Given that the both condition is meet it mean that  it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure

455.4 is 66% of what number

Answers

Answer:

690

Step-by-step explanation:

rewrite the equation 10=1,000 with an exponet that makes it true .​

Answers

10^3= 1,000
hope this helps :)

Answer:

[tex]10^3=1,000[/tex]

Step-by-step explanation:

The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.

Note that 1,000=10*10*10

Or, equivalently:

[tex]1,000=10^3[/tex]

Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:

Original:

10=1,000 => false

Rewritten true:

[tex]\boxed{10^3=1,000}[/tex]

what is 8 times 0.9 equal

Answers

Answer:

7.2

Step-by-step explanation:

What number must be added to 101 to produce a number equal to the product of 101 x 21

Answers

Answer:

2020

Step-by-step explanation:

101 • 21 = 2121

2121 - 101 = 2020

Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.

Answers

Answer:

-Equations:

AA=75+2x

AA=75+2x

-Company A would be cheaper.

Step-by-step explanation:

-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

AA=75+2x

AA=75+2(45)

AA=75+90

AA=165

-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:

BB=35+3x

BB=35+3(45)

BB=35+135

BB=170

According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.

When five times a number is decreased by 9​, the result is 11. What is the​ number?

Answers

Answer

4

Step-by-step explanation:

Add 9 to 11, then divide that by 5.

Answer:

4

Step-by-step explanation:

work backwards 11+9 is 20. Divide 20 by 5 = 4

Which statement describes how to determine if a relation given in a table is a function? OIf none of the output values are repeated, the relation is a function. Olf none of the input values are repeated, the relation is a function. If any of the input values are equal to the output values, the relation is a function. f all the output values are paired with the same input value. the relation is a function.​

Answers

Answer: if none of the input values are repeated the real action is a function

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If none of the input values are repeated, the relation is a function.

i dont know how to explain but edge 2020/2021

In the number 65.784, what place is the 7 in?

Answers

Answer: tenths

Step-by-step explanation:

Answer:

TENTHS

Step-by-step explanation:

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other

person walks at 3 mph. In how many hours will they be 1.25 miles apart?

Answers

Answer:

0.25hours  

Step-by-step explanation:

Data

speed v1=8mph

speed v2=3mph

distance= 1.25

time t=?

speed= distance/time

distance=speed*time

1.25=8*t-3*t

1.25=8t-3t

1.25=5t

t=1.25/5

t=0.25hours

In minutes it is 15min

solve for a in the figure shown.​

Answers

Answer:

40

Step-by-step explanation:

110+30=140

but a full triangle should equal 180

so 180-140=40

140+40=180

brainlist if you can pls :>

The perimeter of a rectangular outdoor patio is 66 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?

Answers

Answer:

width = 15 ft

length = 18 ft

Step-by-step explanation:

lets assume the width is w, and length is l.

For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:

2w+2l= 66

for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:

w+3 = l

Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:

2(w+3) + 2w = 66

Distributive property:

2w+6+2w = 66

which is equal to:

4w+6 = 66

which finally is:

w=15 ft.

Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:

L = 18 ft.

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8). M(1,6), S(-2,-6), T(2, 10) plz help!!!​

Answers

Answer:

they are neither

Step-by-step explanation:

because if you connect the dots they are neither parallel or perpendicular

Need help i will mark you brainliest

Answers

They are congruent b/c they the sides of the two shapes are equal as well as the angles. Hope that helps !
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