12. A cereal company decided to make an odd-shaped box for a promotion they are doing. The new design is a rectangular prism with length of 10 cm, width of 8 cm, and height of 4 cm. and attached to the rectangular prism is a cylinder with a radius of 2 cm. and a height of 10 cm. How much cereal (in L) will fit in the box?

Answers

Answer 1

Answer: This one odd cereal box. We are asked to find the volume of the "box". This can be answered in 2 parts. The total volume is the sum of the rectangular prism volume and the volume of the cylinder. The volume of the rectangular prism is 8x4x10 = 320 cm^3. Then the volume of the cylinder is $\pi r^(2) h = V$ . The volume of the cylinder is then 125.66. The total volume is then 445.66 ml (Note: ml = cm^3). Then V = 0.45L

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What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

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Answers

Answer:

Ax+By=C

Step-by-step explanation:

basically the standard form of any linear equation, y=mx+b. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y-intercept (where x is 0 on the line).

Which unit would you use to measure the amount of water in a swimming pool?pints
quarts
gallons
cups

Answers

Gallons, it's the largest unit that you're given and swimming pools obviously have a lot of water in them

Solve the following problem first using a tape diagram and then using an equation: In a school choir, 1/2 of the members were girls. At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4. How many boys remained in the choir?

Answers

Answer: 9 boys remained in the choir.

Step-by-step explanation:

Let x be the number of of boys and y be the number of girls.

In a school choir, 1/2(half) of the members were girls.

i.e $x=y$ (1)

At the end of the year, 3 boys left the choir, and the ratio of boys to girls became 3:4.

$(x-3)/(y)=(3)/(4)\n\n\Rightarrow\ 4(x-3)=3(y)\n\n\Rightarrow\ 4x-12=3y$

Put y= x from (1), we get

$4x-12=3x\n\n\Rightarrow\ 4x-3x=12\n\n\Rightarrow\ x=12$

Thus , the number of boys : x= 12

Boys remained in the choir = 12-3=9

Please help me !!!( the directions for the top is to factor the following difference of squares. Check your answers by FOIL. The bottom math problems have directions at the top of it )
Answer what you can correctly for a brainliest and also get a thanks ! Don't answer if you don't know it .

Answers

I'm very disappointed and a little depressed that you can't do any of these
twenty problems on your own, and you decided to just dump them on Brainly.
I'm also disappointed that yuu thought the whole thing is only worth 11 points.

I'll do a substantial amount of each problem, but not all of it.
Some of the contribution should be yours.

This whole page is just a bunch of exercises for one fact:

(any difference of two squares) is equal to

(the sum of the square roots of the terms)
times
(the difference of the square roots of the terms) .

That's the solution to everything on the page, right there.

OK. Here we go:

15). (2c + √5 d) (2c - √5 d)
16). (7m² + 4) (7m² - 4)
17). (k³ + 4) (k³ - 4)

18). (2p² + 5) (2p² - 6)
19). (11r³ + 1) (11r³ - 1)
20). (8m² + 3n) (8m² - 3n)

You can do the FOIL checking. I buried one error in there
just so that you'd have something to look for and fix.

21). 6 (2a + 3b) (2a - 3b)
22). 9x (2x + 1) (2x - 1)
23). 5q (3q + 2) (3q - 2)

24). 2 (4s + 3u) (4s - 3u)
25). 4b (5b + 3) (5b - 3)
26). 3x² (x² + 4) (x² - 4)

27). 8y (x + 2y) (x - 2y)
28). 5m (5m + 1) (5m - 1)
29). 3 (n + 7) (n - 7)

30). 2 (3x + 5) (3x - 5)
31). m n (m + 1) (m - 1)
32). 4x (2x + 5) (2x - 5)

33). 5n² (4n + 5) (4n - 5)
34). 3 (2n + 1) (2n - 1)

For this second group, I confess that I did them all in my head,
so you should really do some checking just to make sure.

Hey guys, I got positive 2 for this one but there is only -2. PLS help! Solve the equation -25p – 2 = 48 for p. A. -2 B. 1 C. 3 D. 8

Answers

Answer:

p=-2

Step-by-step explanation:

-25p-2=48

Take 2 to the other side which becomes positive

-25p=48+2

-25p=50

Divide both sides by the coefficient of x that is -25

-25p/-25=50/-25

p=-2

Answer:

A. p= -2

Step-by-step explanation:

To solve this equation, we need to find out what p is. In order to do this, we must get p by itself on one side of the equation. Perform the inverse operations to both sides of the equation.

-25p-2=48

2 is being subtracted from -25p. The inverse of subtraction is additon. Add 2 to both sides.

-25p-2+2=48+2

-25p=48+2

-25p=50

p is being multiplied by -25. The inverse of multiplication is division. Divide both sides by -25.

-25p/-25=50/-25

p=50/-25

p=-2

Let's check our solution. Plug -2 in for p in the original equation.

-25p-2=48

-25(-2)-2=48

50-2=48

48=48

Both sides are the same, so we know our solution is correct.

Bruno bought 96 pounds of sugar for his bakery. Every day he used the same amount of sugar to make bakery items. After 10 days, Bruno was left with 15.2 pounds of sugar. On average, how many pounds of sugar did Bruno use each day? 5.60 pounds

8.08 pounds

11.12 pounds

18.46 pounds

Answers

96 - 15.2 = 80.8
80.8 / 10 = 8.08

He was using up 8.08 pounds of sugar daily for his baking, so the answer is the second option.

Answer:

Answer is B so yeah

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