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
Makovka662 [10]
2 years ago
13

A grocery store clerk has 16 oranges ,20 apples and 24 pears the clerk needs to put an equal number of apples , oranges and pear

s into each basket. A) what is the greatest number of baskets can be made so that no fruit is left over B)How many oranges ,apples & pears are in each basket
Mathematics
1 answer:
anyanavicka [17]2 years ago
4 0

A.) The clerk has - 16 oranges 20 apples 24 pears


he needs to put all three fruits into baskets without any leftover fruits


each basket should have equal amounts of each fruit


so to find the largest number of baskets he can make we have to find the highest common factor for 16,20 and 24


so lets find the factors for each of these


16 - 1,2,4,8,16


20 - 1,2,4,5,10,20


24 - 1,2,3,4,6,8,12,24


from the given factors the common factors for all three are 1,2 and 4


from these the highest factor is 4


therefore the largest number of baskets he can make are 4


in each basket there will be


4 oranges 5 apples 8 pears



answer is 4 baskets



You might be interested in
F(x)= 1/3 (4-x)^2 what is the value of f(16)
sveticcg [70]

Answer: 48

Step-by-step explanation:

1/3(4 - 16)

1/3(-12)^2 = 1/3(144) or 48

Hope that helped.

7 0
3 years ago
When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
2 years ago
PLZ HELP !
max2010maxim [7]

Answer:

13 cm

Step-by-step explanation:

The diagonal of a rectangle forms a right triangle; where the diagonal is a hypotenuse, and two sides of the rectangle are legs.

Using pythagorean's theorem (a^2 + b^2 = c^2), we can say:

5^2 + 12^2 = c^2\\25 + 144 = c^2\\169 = c^2\\13 = c

The hypotenuse is equal to 13cm.

3 0
3 years ago
Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
Part 2
ahrayia [7]

Answer:

B. 236.3

Step-by-step explanation:

Population density can be found by dividing the number of people by the area of the land.

number of people / land area

The population is 20,510 people and the area is 86.8 square miles.

20,510 people / 86.8 square miles

Divide 20,510 by 86.8

236.290323 people /square mile

Round to the nearest tenth. The 9 in the hundredth place tell us to round the 2 to a 3 in the tenth place.

236.3 people/ square mile

There are 236.3 people per square mile and B is correct.

6 0
2 years ago
Other questions:
  • Plz help 99 POINTS!! AND BRAINLEIST!!
    5·2 answers
  • Need help in geometry!!!
    9·1 answer
  • What is the value of x to the nearest tenth
    11·1 answer
  • 3.
    8·1 answer
  • Point A is located at (0, 4) and point C is located at (-3, 5). Find the x value for point B that is located the distance from p
    14·1 answer
  • A cylinder has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder? Express the answer in
    9·1 answer
  • the angle between two radii of a circle is 130°. then the angle between the tangents at the end points of radius at their point
    13·2 answers
  • To amend a​ country's constitution, 2 9 of the 78 states in that country must approve the amendment. If 21 states approve an​ am
    10·1 answer
  • Y=mx+b how do you find it​
    10·1 answer
  • 4/25? orrrrrrrrrrrrrrrrrrrrrrrr?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!