A cereal box is shaped like a rectangular prism. The box is 20 cm long by 5 cm wide by 30 cm high. What is the surface area of the cereal box?

Answers

Answer 1
You have to find the area of each separate face of the box and then add them all up.
The front and back would be ; (length x height) x 2
So;
(20 x 30) x 2
= 1200 cm^2

Then calculate the area of the top and bottom of the box;
(Width x Length)
(5 x 20) x 2
= (100) x 2
= 200 cm ^2

And finally the sides of the box:
(Width x Height) x 2
(5 x 30) x 2
= 300 cm^2

Now add all of the individual areas up to find the total surface area of the cereal box:
1200 + 200 + 30
= 1700cm^2 in total

Related Questions

Please help. I cant figure it out

Answers

I think it is C but I am not for sure

Multiply This Equation & Simplify:

Question Is In The Photo...​

Answers

Answer:

= 12 x^8

Step-by-step explanation:

how many solutions does the equation 5 + -5 + -12 equals 14 - 2 have?
0, 1, 2, many​

Answers

Hey there!

5 + -5 + -12 = 14 - 2

ASSUMING….

5 - 5 - 12 = 14 - 2

0 - 12 = 14 - 2

-12 = 12

-12 ≠ 12


Thus, your answer should be:

FALSE or simply 0 solutions


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Please help me ASAP!! Calling all experts, will give brainliest too!

The height of a candle decreases from 10 centimeters to 6 3/4 centimeters after burning for 1/2 hour

Answers

The true statement is as follows:

The product 13 / 4 × 2 can be used to find the unit rate in cm per hour.

After one hour, the height of the candle will have decreased by 6 1 / 2 cm.

What is rate?

Rate is the ratio between two related quantities in different units.

The height of the candle decreases from 10 cm to 6 3 / 4 cm after burning for 1 / 2 hours.

6 3 / 4 cm = 27 / 4 cm

10 - 27 / 4 =  40 - 27 / 4 = 13 / 4 cm

Therefore, 13 / 4 cm of candles were lost in 1 / 2 hours.

Rate = 13 / 4 × 2 = 26 / 4 = 13 / 2 cm per hour

Therefore, the product 13 / 4 × 2 can be used to find the unit rate in cm per hour.

13 / 4  + 13 / 4 =   13 + 13/ 4 = 26 / 4 = 13 / 2 = 6 1 / 2 cm.

Therefore, after one hour, the height of the candle will have decreased by 6 1 / 2 cm.

learn more on rate here: https://brainly.com/question/18188023

What is the circumference of a circle with a radius of 8?
Use 3.14 for pi.
Also, can someone tell me what the pattern is, here? I need to know, I can never understand.

Answers

Answer:

Step-by-step explanation:

C≈50.27

r Radius

Solution

C=2πr=2·π·8≈50.26548

y-3x=0
2y+5x=11
solve
with elimination and substitution method

Answers

Answer:

x=1, y=3

Step-by-step explanation:

using sublimation method

y-3x=0 ....eqn(1)

2y+5x=11....eqn(2)

from eqn 1

y-3x=0

y=3x

substitute y=3x into eqn 2

2y+5x=11

2(3x)+5x=11

6x+5x=11

11x=11 (divide both sides by the coefficient of x)

x=1

since x=1 , substitute x=1 into eqn 1 to get y

y-3x=0

y-3(1)=0

y-3=0

y=3

Using elimination method

y-3x=0....eqn (1)

2y+5x=11....eqn (2)

multiply eqn 1 through by 2 and eqn 2 through by 1 to eliminate y

2y-6x=0.... eqn 3

2y+5x=11.... eqn 4

subtract eqn 4 from from eqn 3

-11x=-11 (divide both sides by the coefficient of x)

x=1

substitute x=1 into eqn 2 to get y

2y+5x=11

2y+ 5(1) =11

2y+5=11

2y=11-5

2y= 6 (divide both sides by the coefficient of y)

y=3

A pair of equations is shown below: y = 3x - 5 y = 6x - 8

Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)

Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) ​

Answers

Answer:

See below

Step-by-step explanation:

y = 3x -5     <===== multiply this equation by -2 to get

-2y = -6x+10    now add it to the other equation(this will ELIMINATE x)

  y = 6x-8  

-y  = +2

y = -2       then sub this in to oneof the quations to find x = 1

the two points will intersect at x,y = 1,-2    (because this satisfies both of the equations)

PART A

We start with:  y = 3x - 5  y = 6x - 8

Elimination:

If we have two equations that  = y, then we can make them equal each other:y = y3x - 5 = 6x - 8We then collect the x term together:3x - 6x = -8 + 5-3x = -3We can divide both sides by -3:x = 1

Substitution

We can make one equation turn from a y= to an x=I decided to go with y = 3x - 5 (but it doesn't matter)We basically want to get it into x=y = 3x - 5y + 5 = 3x3x = y + 5 (I'm just flipping the equation to get x on the left for easiness)We then divide both sides by 3:x = [tex]\frac{y + 5}{3}[/tex]Don't forget we've also got y = 6x - 8So we just put x in!y = 6 × [tex]\frac{y + 5}{3}[/tex] - 8y = [tex]\frac{6}{3}[/tex] × (y + 5) - 8y = 2 × (y + 5) - 8y = 2y + 10 - 8y = 2y + 2Rearrange to get y on one side:-y = 2Times both sides by -1:y = -2We can now go back to...x = [tex]\frac{y + 5}{3}[/tex]By putting y = -2 in:x = [tex]\frac{-2 + 5}{3}[/tex]x = [tex]\frac{3}{3}[/tex] = 1

PART B

We can find where they intersect/overlap by using elimination/substiutionWe've already covered both, and we get x = 1This means we've already go the x-coordinate of our point where the lines meet(x, y) = (1, ?)We just put our value of x into either equation (since x = 1 is where they meet)I'll go with y = 6x - 8y = 6 × 1 - 8y = 6 - 8 = -2We end up with (1, -2)!!!

P.S.:

I've attached a screenshot of the graphs, notice how they meet at (1, -2)

x(x+1)(x+2)=0
solve for x

Answers

Answer:

-2; -1; 0.

Step-by-step explanation:

x(x+1)(x+2)=0;

[tex]\left[\begin{array}{ccc}x=0\\x+1=0\\x+2=0\end{array} \ = > \ \left[\begin{array}{ccc}x=0\\x=-1\\x=-2\end{array}.[/tex]

A cylinder and its dimensions are shown in the diagram. Which equation can be used to find V, the volume of the cylinder in cubic centimeter? I think A. is the answer :)

Answers

Answer: it’s simply a

Step-by-step explanation: X =bsquare

The measure of one acute angle in this right triangle is 28°.


What is the measure of the other acute angle?
A. 22°
B. 28°
C. 32°
D. 62°

Answers

Answer:

[D] 62°

Step-by-step explanation:

A right triangle = 90 degree angle

A triangle =  180 degrees

Therefore,

90 + 28 = 118

180 - 118 = 62

Hence, the measure of the other acute angle is 62

Thus, the answer is [D] 62 degree

Kavinsky

Answer:

D. 62

Step-by-step explanation:

SAT scores are used by colleges and universities to evaluate undergraduate applicants. The test
scores are normally distributed. A random sample of 65 student scores has a mean of 1489 and
standard deviation of 306.
Find the 95% confidence interval for the population mean based on this sample and round to
two decimal places.

Answers

Using the t-distribution, it is found that the 95% confidence interval for the population mean is (1413.18, 1564.82).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 65 - 1 = 64 df, is t = 1.9977.

The parameters of the interval are given as follows:

[tex]\overline{x} = 1489, s = 306, n = 65[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 1489 - 1.9977\frac{306}{\sqrt{65}} = 1413.18[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 1489 + 1.9977\frac{306}{\sqrt{65}} = 1564.82[/tex]

The 95% confidence interval for the population mean is (1413.18, 1564.82).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Sally rents a life jacket for a one-time fee of 5$. She rents a canoe for $15 per hour. Which expression represents the total cost, in dollars, to rent the life jacket and the canoe for h hours?

A. 5+15h

B. 10h

C. 15+5h

D. 20h

Answers

Answer:

A. 5+15h

Step-by-step explanation:

Find the product of the following by writing one of numbers as the sum or difference of two numbers -

785*105
1006*95
3096*91​

Answers

Answer:

Step-by-step explanation:

Use distributive property: a*(b+c) =a*b +a*c

1) 785 * 105 = 785 * (100 + 5)

                  = 785*100 + 785*5

                  = 78500 + 3925

                  = 82425

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) 1006 * 95 = (1000 + 6) *95

                     = 1000*95 + 6*95

                      = 95000 + 570

                     = 95570

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) 3096*91  = 3096 * (100 - 9)

                    = 3096*100 - 3096*9

                    = 309600 - 27864

                    = 281736

A straight waterslide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide?

Answers

Step-by-step explanation:

see this this will help you

Choose the solution to this inequality.
72≥b+95
A. b≥25
B. b≤1710
C. b≤−23
D. b<227

Answers

Answer:

C

Step-by-step explanation:

72≥b+95

Group like them

72-95 ≤ b

the sign changes due to the negative

-23 ≥ b

Least to greatest questions 7 and 8

Answers

Answer:

7.

4.7 * 10^14 , 9.99 * 10^14 , 2.9 * 10^15 , 4.5 * 10^15

8.

9.99 * 10^-8 , 4.8 * 10^-8 , 9.99 * 10^-4 , 6.5 * 10^-4

{96/[36/3-(18 x 2 - 30)]} / (31-16+1)

Answers

Answer:

-1/2

Step-by-step explanation:

pemdas rules

1. 18 x 2 - 30 = 6

2. 3-6= -3

3. 36/-3 = -12

4. 96/-12 = -8

5.  (31-16+1) = 16

6. -8/16 = -1/2

Find the sum of the first 150 positive even integers.

Answers

Answer:

Sum of first 150 positive even integers is 22650

Step-by-step explanation:

We know that first 150 postive even Integers are 2,4,6,8,10... 300.

Here,

First term (a) = 2 Comman difference (d) = 4 - 2 = 2 Total terms (n) = 150Last term (aₙ) = 300

[tex]\\[/tex]

Substituting values in the formula:

[tex] \\ :\implies \sf \: \: S_{n} = \dfrac{n}{2} (a + a_{n}) \\ \\[/tex]

[tex] :\implies \sf \: \: S_{n} = \dfrac{150}{2} (2 + 300) \\ \\ [/tex]

[tex] :\implies \sf \: \: S_{n} = 75(302) \\ \\ [/tex]

[tex] :\implies \: \:{ \underline{ \boxed{ \pmb{ \pink { \rm{S_{n} = 22650 }}}}}} \\ \\[/tex]

Sum of first 150 positive even integers is 22650

Answer:

The number series 2, 4, 6 , 8. . . . , 150.The first term (a) = 1The common difference (d) = 4 – 2 = 2Total number of terms (n) = 150last term (an) = 300

Formula for finding sum of nth terms =

n/2 × (a + an)

putting the known values ,

Sum = 150/2 × ( 2+300)

Sum = 75 × 302

Sum of first 150 positive even integers = 22650

find the average rate of change of f(x) = 3x - 7 over the interval 1 ≤ x ≤ 5

Answers

Answer:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

Step-by-step explanation:

If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.

Which algebraic expression is equivalent to the expression below?

(3n+13) + (6+7n)

A. 9n + 20

B. 16n + 13

C. 10n + 19

D. 22n + 7

Answers

Answer: C) 10n +19

Step-by-step explanation:

Let's simplify the provided expression (3n+13) + (6+7n)

Since this is just addition we can just remove the parenthesis and use the commutative property to make adding easier

3n+13+6+7n

3n+7n+13+6

10n+19

Find the area of the circle shown.

Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
radius is 1.5 cm

Answers

Answer:

7.1 cm^2

Step-by-step explanation:

Area  = pie * radius^2

Area = pie * 1.5^2

= 7.0685

Answer: 7.1 cm ^2

Step-by-step explanation:

Which choice is equivalent to the expression below?

√-125

A. 5i√5

B. -5i

C. 5i√-5

D. 5i

E. √125

Answers

Answer:

5i√5

Step-by-step explanation:

Remark

125 factors

It is factored into 5*5*5

The rule for √5*5*5  is that two can be taken outside the square root sign. I is placed in front of the root sign like 5√ and the other 5 is thrown away.

The remaining 5 is left under the root sign

As usual

√-1 is i is taken outside the root sign

Solution

5i √5 is what you get.

please answer the question pls

Answers

The answer is B you’re welcome

In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are adequately prepared financially for retirement. Many financial planners have expressed concern that a smaller percentage of those in this age group who did not complete high school are adequately prepared financially for retirement.

In a random sample of 300 people from the 66-69 age group who did not complete high school, 165 were not prepared financially for retirement. What is the p-value for your hypothesis test (to 4 decimals)? If your answer is zero, enter "0".

Answers

Using the z-distribution, as we are working with a proportion, it is found that the p-value of the test is of 0.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is of 71%, that is:

[tex]H_0: p = 0.71[/tex]

At the alternative hypothesis, it is tested if the proportion has decreased, that is:

[tex]H_1: p < 0.71[/tex].

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

In this problem, we have that the parameters are:

[tex]n = 300, \overline{p} = \frac{165}{300} = 0.55[/tex]

Hence, the value of the test statistic is found as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.55 - 0.71}{\sqrt{\frac{0.71(0.29)}{300}}}[/tex]

z = -6.11

What is the p-value of the test?

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -6.11, it is found that the p-value is of 0.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Given the functions:
f (x) = -6x - 19
g(x) = -11x + 9
h (x) = 17x +4
Find f (3)

Answers

Answer:

f(3) = -37

Step-by-step explanation:

f (x) = -6x - 19

Let x = 3

f (3) = -6*3 - 19

      = -18-19

      = -37

Round the number. Write the result as the product of a single digit and a power of 10. 0.0000001801

Answers

Answer:

2x10 to the -7 power

Step-by-step explanation:

hope this helps!

A point is chosen randomly on KN. Identify the probability that the point is on KL or MN. The figure shows segment K N with two points L and M on it in order from left to right. The length of segment K L is 3 units. The length of segment L M is 7 units. The length of segment M N is 8 units.

Answers

A point is chosen randomly on KN. The probability that the point is on KL or MN would be 11/18.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The length of segment K L is 3 units.

The length of segment L M is 7 units.

The length of segment M N is 8 units.

The length of the segment KL + MN

KL + MN = 11

The total length of the segment KN

KL +LM + MN

3 + 7 + 8 = 18

SO, The probability that the point is on KL or MN = 11/18

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ1

Find the sticker price and the dealer's cost for the Bobcat SX with a base price of $13,568.00. Options include air conditioning for $765.00, turbo for $643.00, towing package for $236.00, and custom wheels for $422.00. Destination charges total $365.00. The dealer pays 90% of the base price and 65% of the options.

Answers

Sticker price = 15,999
Dealer’s Cost=13,910.10

i need some urgent help
the thing is to factor the expressions trinomial way
if you want extra points you could help me with my past 2 questions they are 50 each someone gave me a wrong answer so i would really appreciate some help with that too but that's optional

Answers

#1

15x²+4x-415x²+10x-6x-45x(3x+2)-2(3x+2)(5x-2)(3x+2)

#2

16a²-50a+362(8a²-25a+18)2(8a-9)(a-2)

#3

63n²+126n+483(21n²+42n+16)

Not more factorable

Evaluate tan (x + pi/2) for x = pi/2​

Answers

Answer:

0

Step-by-step explanation:

tan(x + [tex]\frac{\pi }{2}[/tex] ) ← substitute x = [tex]\frac{\pi }{2}[/tex]

tan([tex]\frac{\pi }{2}[/tex] + [tex]\frac{\pi }{2}[/tex] )

= tanπ

= 0

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