10 people ate pie and 1 person ate cake. How many more people at the pie than the cake?

Answer:

A≈471.24 is the surface area of the cylinder

58m^2 is the surface area of the triangular prism

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·5·10+2·π·52≈471.2389

Triangle area formula

area = 0.5 * b * h , where b is the length of the base of the triangle, and h is the height/altitude of the triangle.

4(2.5)+8(6)

10+48=58m^2

Hope this helped!!!

Answer:

87 , 84, 81, 78, 75

Step-by-step explanation:

it goes down each time by threes

Answer:

24

Step-by-step explanation:

3*8 = 24

Answer:

The price would go down as people would be more willing to buy cheaper potatoes and the producers would want to sell them for a lower price to get rid of them easy and fast.

Step-by-step explanation:

Hope this helps you :)

Answer:

v - u = 10t

t = 1/10x(v-u)

2. 1/6 x (m - 19) = n

3. u = d/t - at

4.- 1/6 x (A - P)

T = 2.5

Step-by-step explanation:

v = u + 10t

v- u = 10t

divide both sides of the equation by 10

t = 1/10x(v-u)

2. m = 6n + 19

subtract 19 from both sides of the equation

m - 19 = 6n

divide both sides of the equation by 6

1/6 x (m - 19) = n

3. d = ut + at²

subtract  at² from both sides of the equation

d - at² = ut

divide both sides of the equation by t

(d/t) - at = u

4. P = A - 6D

subtract A from both sides of the equation

P - A = -6D

divide both sides of the equation by -6

-1/6(P - A) = D

Answer: 238

Step-by-step explanation: 15% of 280 is 42 so subtract 42 from the number and it equals 238

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

Answer:

92 inches squared

Step-by-step explanation:

6x6=36

4x(8+6)=56

56+36=92

Answer:

1/x^2

Step-by-step explanation:

exponent rule: a^-b = 1/a^b

x^-2 = 1/x^2

Answer:

[tex] \frac{1}{ {x}^{2} } [/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] {x}^{ - 2} [/tex]

2) Use negative power rule: x^-a = 1/x^a.

[tex] \frac{1}{ {x}^{ 2} } [/tex]

hence, the answer is 1/x^2.

Answer:

answer is in the picture above

Answer:

there you go. hope this helps out

Answer:

36[tex]x^{2}[/tex] - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36[tex]x^{2}[/tex] - 12x + 12x - 4

= 36[tex]x^{2}[/tex] - 4

Answer: 5 hours will take two days.

Step-by-step explanation:

People dont matter here. but what does is hours. 2 hrs a day = 5 days

3hrs a day = 4 days, 4 hrs a day = 3 days, 5hrs = 2 days.

When hrs a day go up 1 the amount of days is reduced at a rate of 1. It's about finding the rate of change. So our rate of change was +1 hour = -1 day.

2,5

3,4

4,3

5,2

Answer:

a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.

b) 0.778 = 77.8% probability that (s)he carries a balance

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?

20% of 30%(carry no balance).

30% of 70%(carry balance). So

[tex]P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27[/tex]

0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.

b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?

Conditional probability.

Event A: Annual income of $20,000 or less.

Event B: Carries a balance.

0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less

This means that [tex]P(A) = 0.27[/tex]

Probability of a income of $20,000 or less and balance.

30% of 70%, so:

[tex]P(A \cap B) = 0.3*0.7 = 0.21[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778[/tex]

0.778 = 77.8% probability that (s)he carries a balance

Answer:

4

Step-by-step explanation:

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

[tex]ER = 12cm[/tex]

Step-by-step explanation:

Given

See attachment for the given shape

Required

Length of ER

The given shape is a parallelogram and the opposite sides are: CA and ER

Given that:

[tex]CA= 12cm[/tex]

We have:

[tex]CA = ER[/tex] --- opposite sides of a parallelogram

So:

[tex]ER = 12cm[/tex]

Answer:

Triangle a was reflected across the x-axis to form triangle b

Answer:

x=18

Step-by-step explanation:

Answer:

first group like terms

16+2=x

18=x

x=18

Answer: Where is the square?

Step-by-step explanation:

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Where

l is the length of the prism

Substitute all the values,

[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]

So, the length of the prism is equal to 24 feet.

Answer:

6/8 and 9/12

Step-by-step explanation:

You can find any by multiplying numerator and denominator by any given number. The number multiplied has to be the same for the top and the bottom

1. Number is 2

3/4 * 2/2 = 6/8 (3*2 = 6  and 4*2 = 8)

2. Number is 3

3/4*3/3 = 9/12 (3*3 = 9 and 3*4 = 12)

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

The length of the longer side is:

The area of the quilt is:

Answer:

4.25.                                            

8 divides into 34 4 times, which is 32, then do 34−32, which is 2 (make sure to add your decimal) , then drop the 0 and it goes into 20 twice, subtract and get 4, drop a 0, then subtract 40 by 40 again and get 4.25

Step-by-step explanation:

-2<-1<1, so f(-1)=-1-2=-3

Answer:

Area = 12

Step-by-step explanation:

The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.

Area = b * h / 2

b = 2 + 2 = 4

h = 8

Area = 1/2  * 4 * 8

Area = 1/2 * 32

Area = 16

The smaller triangle is found from all the twos.

b = 2 + 2 same as the larger triangle

h = 2

Area = 1/2 2 * 4

Area = 1/2 8

Area = 4

Total Area = 4 + 16

Total Area = 20

Answer:

Area=20

Step-by-step explanation:

A = 20 cm

9514 1404 393

Answer:

  A.  g(x) = √(x -5), x ≥ 5

Step-by-step explanation:

You can use the definition of an inverse function to solve for g(x).

  x = f(g(x))

  x = (g(x))^2 +5

  x -5 = (g(x))^2 . . . . . subtract 5

  √(x -5) = g(x) . . . . . take the square root

The radical contents cannot be negative, so this is only defined for x-5 ≥ 0, or x ≥ 5.

  g(x) = √(x -5),  x ≥ 5

Step-by-step explanation:

Original price- $250

Discount 20% x   20

                       -----------

                        5000

Equals amount taken off $5000

Subtract original price        -250

                                      ---------------

                 Sale Price          4750

Hope this helps! If this is not the answer please tell me!