1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 years ago
6

Mary has 60 candy pieces and 45 chocolates. She wants to distribute the candy to her little sister's friends at her birthday par

ty so that each friend gets an equal number of candies and an equal number of chocolates.What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over
Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

You might be interested in
It is believed that 3% of people actually have this predisposition. The genetic test is 99% accurate if a person actually has th
fiasKO [112]

Answer:

Required Probability = 0.605

Step-by-step explanation:

Let Probability of people actually having predisposition, P(PD) = 0.03

Probability of people not having predisposition, P(PD') = 1 - 0.03 = 0.97

Let PR = event that result are positive

Probability that the test is positive when a person actually has the predisposition, P(PR/PD) = 0.99

Probability that the test is positive when a person actually does not have the predisposition, P(PR/PD') = 1 - 0.98 = 0.02

So, probability that a randomly selected person who tests positive for the predisposition by the test actually has the predisposition = P(PD/PR)

Using Bayes' Theorem to calculate above probability;

 P(PD/PR) = \frac{P(PD)*P(PR/PD)}{P(PD)*P(PR/PD)+P(PD')*P(PR/PD')}

                   = \frac{0.03*0.99}{0.03*0.99+0.97*0.02} = \frac{0.0297}{0.0491} = 0.605 .

7 0
3 years ago
Please explain how to solve this<br> (12+5i) - (9-2i)<br> i have answers but dont understand
zloy xaker [14]

Answer: 3 + 7i

Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

12 - 9 = 3

5i + 2i = 7i

// together, we get

3 + 7i

7 0
3 years ago
Read 2 more answers
the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices
lakkis [162]

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2

O(1,0,2)

Value of point O through BD.

O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6

Therefore, the fourth vertices is D( -1,-4,6 ).

7 0
3 years ago
Let f(x)=8secx. Then f′′(π/9)
Ahat [919]

f(x)=secx.

f'(x)=sec x tan x.

Use the product rule to find f ' '(x).

F ' '(x)=(secxtanx)tanx+secx(sec2x).

So, f ' '(x)=secxtan2x+sec3x.

Evaluate:f ' '(π4)=sec(π4)tan2(π4)+sec3(π4)=(√2)(1)2+(√2)3=√2+2√2=3√2.

7 0
3 years ago
Turn the sum of five and number, u, is 14 into a equation ​
alekssr [168]
5+n=14

(n is the unknown number)
6 0
3 years ago
Other questions:
  • 5066. Write the number that is one hundred more using number names
    6·1 answer
  • A 30-minute TV program consists of three commercials, each 2 1/2 minutes long, and four equal-length entertainment segments. How
    15·2 answers
  • 7. The largest of the Great Pyramids in Egypt was built with a square base,
    13·1 answer
  • Make w the subject of the relation p=2 (k+w)​
    14·2 answers
  • Negative charge −Q is distributed uniformly over the surface of a thin spherical insulating shell with radius R.
    11·1 answer
  • Perpendicular to y = -3x - 1<br> and passing through (3, 4)
    12·1 answer
  • Determine if the triangle is similar. If similar, state how and complete the similarity statement.
    12·1 answer
  • 29. Find the value of t if<br><br> t:7=1:2
    11·2 answers
  • Please help me I need this done in like 10 minutes!!
    15·1 answer
  • A cylindrical basket has a volume of 15 cubic feet. If the height of the basket is 1.5 feet, what is the area of the base of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!