Ask question

Ask question

All categories

3 years ago

14

Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt

, Matt, and Richie will divide the remaining coins evenly among themselves. How many coins will each boy receive?

2 answers:

posledela3 years ago

7 0

Each boy will get 4 coins because 24 in half is 12 and divide by 3 equals 4

GuDViN [60]3 years ago

3 0

Answer:

John will get 12, Walt, Matt, and Richie will get 4 each.

Step-by-step explanation:

Half of 24 is 12 and 12÷3=4

You might be interested in

Which do the following most specifically describes a rhombus?? A.a plane figure that is a polygon. B.a quadrilateral with 2 pair

Arisa [49]

Answer:

B. A quadrilateral with 2 pairs of equal length

Step-by-step explanation:

analyzing the options:

A. A polygon is a very general definition (polygon is a figure with 3 or more sides) so it does not specifically describe a rhombus.

B. This option is much more specific to a rhombus than the other two options because it mentions that it is a quadrilateral so it reduces the generality of calling it a polygon, and it also mentions that there are 2 pairs of equal sides which is true for the rhombus (the top and bottom sides are equal, and the sides are also equal). So this option is correct.

C. It is a little more specific than option A because it mentions that you must have 4 sides, but it is not as specific for the rhombus as option B

7 0

3 years ago

Read 2 more answers

the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

podryga [215]

Um, what operations? You didn't list any...

8 0

3 years ago

Which answer choice best describes the meaning of the expression?

pshichka [43]

J is the correct awnser.

8 0

3 years ago

Read 2 more answers

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

an ice cream shop has a total of 48 flavors of ice cream and toppings. if there are 16 flavors of ice cream, how many toppings c

Tanzania [10]

Answer:

B

Step-by-step explanation:

There are 48 flavors and toppings. Since 16 are flavors, 32 are toppings. Dividing the 32 topping equally between 8 children is 4 toppings per child.

32 ÷ 8 = 4

3 0

3 years ago