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musickatia [10]
2 years ago
6

Two children are sharing 1/2 of a sandwich. how much will each child get

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
6 0

Each child will get 1/4 of the sandwich.

(1/2)/2 = 1/4

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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0
2 years ago
This star is made up of 4 equilateral triangles of equal area and a square.
pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = 9\,\, cm^2

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = 9\,\, cm^2

Area of square = (side)^2

(side)^2=9\\side=3\,\,cm

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0
2 years ago
comparing permutations to combinations for the same set of parameters you would have more combinations than permutations true or
ella [17]
Let a set of n elements. 
We can find n! (factorial) of the n element. 
However, combination of the element lead to less than n! possibilities. 
(combining like adding or multiplying)
So the proposition is false. 
6 0
2 years ago
Read 2 more answers
Which choice gives a valid first step to solve 2(w − 3) = 5? Exclude any choice where the explanation for the step is false.
UNO [17]

Answer:

D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.

Step-by-step explanation:

Given problem;

         2(w − 3) = 5

To solve this problem:

   Use the distributive property to clear the parentheses;

     2w - 6 = 5

 Then, collect like terms, add 6 to both sides;

    2w  = 5 + 6

    2w  = 11

  Now divide both terms by 2

     w = \frac{11}{2}  

7 0
2 years ago
Ms stewart teaches three science classes her students are freshmen and sophomores. her student data are shown in the relative fr
viktelen [127]

Answer:

B) 25% of her students are in chemistry.

Step-by-step explanation:

There were 0.1, or 10%, of freshmen in chemistry.  There were 0.25, or 25%, of sophomores in chemistry.  This is a total of 0.1+0.25 = 0.35, or 35%.

This is not 25%.

4 0
2 years ago
Read 2 more answers
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