Anyone who really good in math please help me 1. A hard candy has a radius of 9 mm. The candy has a spherical soft center with a radius of 6 mm, with a hard shell surrounding it.

What is the volume of the hard shell?
Use 3.14 to approximate pi and round the answer to two decimal places.

_mm3

2.Which container holds the most?

A.
cylinder with radius 8 in. and height 10 in.

B.
sphere with radius 7 in.

C.
cone with radius 10 in. and height 20 in.

3.What is the volume of a cone that has a radius of 4 cm and a height of 9 cm? Use 3.14 to approximate pi and round the answer to two decimal places if necessary.
_cm3

Answers

Answer 1

Answer: A] First you want to work out the volume of both the total candy and the soft shell. The formula for the volume of a sphere is πr cubed x 4/3. The candy has a 9mm radius, so let's substitute that into the equation. π x 9 cubed x 4/3. Nine cubed is, of course, 729, so the volume for the candy is 3052.08mm squared.

Next, the volume of the soft shell. Repeat the earlier steps with the radius of 6mm ( π x 6 cubed x 4/3 ) and you get 904.32mm. Now you substitute that from the total volume:3052.08-904.32=2147.76mm cubed *units are important*

B] A cylinder is a prism, so first work out the face and multiply by its depth for the area. Area of a circle = πr squared so 3.14 x 64 = 200.97 multiplied by 10 gives you 2009.7 inches cubed.I've already given the steps to working out a spheres volume : 1436.03 cubed inches.
Formula for the volume of a cone: 1/3 x area of base x heightCircle base = 314 inches. Volume of cone = 2093.34 cubed inchesThe answer = the cone aka C.

3] area of a cone is 1/3 x area of base x heightArea of circular base = pi x radius squared = 3.14 x 16 = 50.241/3 x 50.24 x 9 = 150.72cm cubed.Sorry if this doesn't have proper paragraphs, I've been using the mobile website via tablet, hope I helped.

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Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?

Answers

f(x) = -1.50x + 40.....basically, this is saying that Gloria has 40 bucks in her lunch account and each meal costs her 1.50.

By changing the -1.50 to -2.75 means she is paying more for her meals...the cost of a meal went up from 1.50 to 2.75.

Final answer:

The change from -1.50 to -2.75 indicates an increase in the cost of the meals. Consequently, Gloria's lunch account balance will deplete faster now.

Explanation:

In the context of this problem, f(x) = –1.50x + 40 represents how much money Gloria has left in her lunch account after purchasing x number of meals. The coefficient of x, -1.50, indicates the cost per meal. If –1.50 changed to –2.75, it would mean that the cost of each meal has increased from $1.50 to $2.75. Consequently, Gloria's account balance would decrease faster, signifying that less meals can now be purchased with the same amount of money.

Learn more about linear equations here:

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Simplify -78 ÷ (-9)(Write answer as a mixed number: whole and fraction remaining.)

Answers

Answer:

8 2/3

Y-E-E-T

Step-by-step explanation:

-78 divded by (-9)

-78

-----

-9

there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.

78/9

divide 3 on both sides

78/3 =26

9/3=3

26/3 now.

so the mixed number would be 8 2/3

8 and 2/3
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Liz owns stock in Nar Heating/Cooling and Cilla Shipping. She owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling. Nar Heating/Cooling pays a yearly dividend of $5.78 per share, and Cilla Shipping pays a yearly dividend of $4.15 per share. If Liz receives $1630.02 in dividends annually, how many shares of Nar Heating/Cooling does she own?

Answers

The number of shares of Nar Heating/Cooling that Liz has is 114. Let x be the number of shares in Nar Heating/Cooling and y the number of shares in Cilla Shipping. Liz owns 120 more shares of Cilla Shipping than she does of Nar Heating/Cooling: y = x + 120. Liz receives $1630.02 in dividends annually: 5.78x + 4.15y = 1630.02. This is the system of two equations: y = x + 120 and 5.78x + 4.15y = 1630.02. Substitute y from the first equation into the second one: 5.78x + 4.15(x + 120) = 1630.02. 5.78x + 4.15x + 498 = 1630.02. 9.93x + 498 = 1630.02. 9.93x = 1630.02 - 498. 9.93x = 1132.02. x = 1132.02/9.93 = 114. So, the number of shares in Nar Heating/Cooling is 114.

Answer:

Edge answer is B) 114 shares

Step-by-step explanation:

I gotchu homies

Choose the more precise measurement in the pair. A .) 6.7 mi or B.) 6 mi

Answers

A) 6.7 miles because precise means "marked by exactness" and 6.7 is more exact then 6 is.

Which is the choice to the inequality below? -x/9>4
A. x<4
B:x<-36
C.x<-0.44
D. x>-36

Answers

Answer:

x < -36

Step-by-step explanation:

-x/9>4

Multiply each side by -9, remembering to flip the inequality

-x/9 * -9 < 4*-9

x < -36

(?,3) is on the line y=2x+5 find the other coordinate

Answers

Think about this. What do the numbers in a coordinate stand for? They stand for X and Y. If you're trying to figure out what the X is, wouldn't you be solving for x? And didn't they just give you an equation? ;) First off, do you see how the "Y" value is given to you in the coordinate? All you have to do is substitute that 3 in for the "y" in the equation! 3=2x+5. Hey.... that looks like a simple equation! First, you need to subtract 5 from the other side of the equation. Now you're left with 2x=-2. Divide both sides by 2, and you get that x=-1. Now, just substitute that "x' value into the coordinate, and your answer should come out to be (-1, 3). :D

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