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Charra [1.4K]
3 years ago
13

paula and ricardo are serving cupcakes at a school party. if they arrange the cupcakes in groups of 2,3,4,5 or 6, they always ha

ve exactly one cupcake leftover. what is the smallest number of cupcakes they could have?
Mathematics
1 answer:
slega [8]3 years ago
4 0
Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.

2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3

LCM = product of common and not common prime factors with larger exponent.

LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60

To always have a remainder of 1, you need of add 1 to 60.

The number is 61.

Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
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Need help answering this question within the next 2 hours...Thanks!
just olya [345]
Subsitue a number for x then solve for y  then graph the point repeat untill u have a parabola
6 0
3 years ago
there are 20 guests at a party the host has 8 gallons of punch he estimates that each guess within 2 cups of punch if his estima
AlekseyPX
STEP 1:
convert gallons to cups & calculate total number of cups

1 gallon= 16 cups

= 8 gallons * 16 cups/gallon
= 128 cups total


STEP 2:
calculate total cups estimated for 20 guests

= 20 guests * 2 cups/guest
= 40 cups needed for guests


STEP 3:
subtract the difference between step 1 and step 2 to find leftover punch

= 128 cups - 40 cups
= 88 cups leftover

OR

GALLONS LEFTOVER
= 88 ÷ 16 cups/gallon= 5 1/2 gallons


ANSWER: There will be 88 cups or 5 1/2 gallons of punch leftover.

Hope this helps! :)
4 0
3 years ago
A test consists of 20 true/false questions. If a student guesses on each question, what Is the probability of getting exactly 15
k0ka [10]

Answer:

50%

Step-by-step explanation:

due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong

5 0
3 years ago
An object travels around a circle of radius r with constant speed. If s is the distance traveled in time t around the circle and
Alex

Answer with Step-by-step explanation:

We are given that

Radius of circle=r

Total distance traveled =s

Time=t

Central angle=\theta rad

We know that

Linear speed,v=\frac{distance}{time}

Using the formula

Therefore, v=\frac{s}{t}

Angular speed,\omega=\frac{Angular\;displacement}{time}

By using the formula

\omega=\frac{\theta}{t} rad/s

4 0
3 years ago
A triangle has a base of x^1/3 m and a height of x^1/2 m. If the area of the triangle is 16 m^2​, what are the base and height o
Sliva [168]
Area = (base times height) / 2

Can rewrite it as

A= b * h * 1/2

16 = (x^(1/3)) * ( x^(1/2)) * (1/2))
Multiply by 2 to simplify
32 = x^(1/3) * x^(1/2)
32=x ^(5/6)
X=64

Base = 4
Height = 8

Please look below at how you multiply variables that have fractions as exponents (you need to add the exponents, common denominator and all that)

7 0
2 years ago
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