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3 years ago

There are eight pencils in a package. How many packages will be needed for 28 children if each children gets pencils

Mathematics

2 answers:

Ahat [919]3 years ago

6 0

4 packages
8 × 4 = 32

SpyIntel [72]3 years ago

4 0

I know it's 4 because 8x4=32 which Is bigger than 24

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Using this distribution, find the probability

kaheart [24]

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

6 0

4 years ago

The squares of the first five whole numbers

antiseptic1488 [7]

Answer:

Square each number: 1 , 2 , 3 , 4 , 5:

1² = 1 * 1 = 1

2² = 2 * 2 = 4

3² = 3 * 3 = 9

4² = 4 * 4 = 16

5² = 5 * 5 = 25

4 0

3 years ago

a light bulb consumes 5280 watt hours in 5 days and 12 hours. how many watts hours does it consume per day?

sammy [17]

Answer:

For this we first need to know how much watt hours are used in 12 house which we can find by taking 960/2=480 now we just need to take 960*4=3840 and add 480 which gives us are end answer of 4320 watt hours.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as

lubasha [3.4K]

Answer:

$l = \sqrt[3]{\frac{2V}{7}}$ $b = \sqrt[3]{\frac{2V}{7}}$ $h = \sqrt[3]{\frac{49V}{4}}$

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

$V = l * b * h$

Make h the subject of the formula

$h = \frac{V}{lb}$

The surface area (S) of the aquarium is:

$S = lb + 2(lh + bh)$

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

$C = 7 * lb + 1 * 2(lh + bh)$

$C = 7lb + 2(lh + bh)$

$C = 7lb + 2h(l + b)$

Substitute $\frac{V}{lb}$ for h in the above equation

$C = 7lb + 2*\frac{V}{lb}(l + b)$

$C = 7lb + \frac{2V}{lb}(l + b)$

$C = 7lb + \frac{2V}{b} + \frac{2V}{l}$

Differentiate with respect to l and with respect to b

$C_l=7b - \frac{2V}{l^2}$ $=0$

$C_b=7l - \frac{2V}{b^2}$ $=0$

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

$7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}$

$7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}$

By comparison:

$l =b$

$C_l=7b - \frac{2V}{l^2}$ $=0$ becomes

$7l - \frac{2V}{l^2}=0$

$7l = \frac{2V}{l^2}$

Cross Multiply

$7l^3 = 2V$

Solve for l

$l^3 = \frac{2V}{7}$

$l = \sqrt[3]{\frac{2V}{7}}$

Recall that: $l =b$

$b = \sqrt[3]{\frac{2V}{7}}$

Also recall that:

$h = \frac{V}{lb}$

$h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}$

$h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}$

Apply law of indices

$h = \sqrt[3]{\frac{49V^3}{4V^2}}$

$h = \sqrt[3]{\frac{49V}{4}}$

The dimension that minimizes the cost of material of the aquarium is:

$l = \sqrt[3]{\frac{2V}{7}}$ $b = \sqrt[3]{\frac{2V}{7}}$ $h = \sqrt[3]{\frac{49V}{4}}$

8 0

3 years ago

Find the solution of 2x+2y=10 and x=5y+20

Sever21 [200]

Answer:

(15/2, -5/2)

Step-by-step explanation:

1. Sub x=5y+20 into 2x+2y=10 and simplify as shown below.

2(5y+20)+2y=10

10y+40+2y=10

12y+40=10

12y=-30

y=-30/12

y=-5/2

2. Sub in y=-5/2 into 2x+2y=10 to find x and simplify as shown below.

2x+2(-5/2)=10

2x-5=10

2x=15

x=15/2

8 0

3 years ago