Susan gave of a pizza to her brother, Joe. Then, she gave of what was left to her mother, and ate the rest herself. What percent of the pizza did Susan eat?
A.
6.25%
B.
5.625%
C.
93.75%
D.
56.25%

Answer:

The data is skewed left

Less than

Median is 22

mean is 20.2

Step-by-step explanation:

median: 15,16,18,19,22,22,22,22,23,23

mean: 15+16+18+19+(22x4)+(23x2)=

31+37+88+46=

68+134=202÷10=20.2

Answer:

1) 7420

2) 7865.5

Step-by-step explanation:

The Formula for Compound Intertst is Amout(rate/100+1)^number of years

7000(.06+1)^1

7000(.06+1)^2

Answer:

300 lbs

Step-by-step explanation:

We know that Larry bench pressed 200 lbs last week, and that he is supposed to increase by 15%. We know that any number times one is that same numbers. That means a number that is increaseing has to be greater than 1. So, we have to convert 15% into a decimal. That is 0.15. That plus one is 1.15. Now we just have to multiply 1.15 with 200. We get 300.

Answer:

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

We are given a radius of 12

SA = 4 pi ( 12) ^2

SA = 4 pi * 144

SA = 576 pi

Using 3.14 for pi

SA =1808.64 cm^3

Using the pi button

SA =1809.557368 cm^3

Answer:

4620.

Step-by-step explanation:

The number of combinations of 3 men from 9

= 9!/(9-3)!3!

=  9*8*7/3*2*1

= 84 ways.

The number of combinations of 2 women from 11

= 11!/11-2)!2!

=  11*10/2*1

= 55 ways.

So the total number of ways  of men and women in the committee

= 84*55

= 4620.

Answer:

I'm not sure if it's correct

Answer:

Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Step-by-step explanation:

Step 1:  Subtract 153 from both sides

[tex]-9f^2 + 153 = 0[/tex]

[tex]-9f^2 + 153 - 153 = 0 - 153[/tex]

[tex]-9f^2 = -153[/tex]

Step 2:  Divide both sides by -9

[tex]\frac{-9f^2}{-9} = \frac{-153}{-9}[/tex]

[tex]f^2 = 17[/tex]

Step 3:  Square root both sides

[tex]\sqrt{f^2} = \sqrt{17}[/tex]

[tex]f =[/tex] ± [tex]4.12[/tex]

Answer: Option D, [tex]f =[/tex] ± [tex]4.12[/tex]

Answer:

2.5

Step-by-step explanation:

i am not absolutely sure but according to me it is right

ANSWER:

2.45

Expalnation:

If you add/subtract 0.75 to the corrct side, you'll get 2.45.

3.2-2.45=0.75

2.45-1.7=0.75

Hence, this is the corrct answer.

Answer:

Step-by-step explanation:

For mixture problems, it is convenient to let the variable represent the quantity of the high-value contributor.

Here, we can let x represent the number of quarters. Then the number of nickels is (52-x), and the total value of the coins is ...

  0.25x +0.05(52 -x) = 6.40

  0.20x +2.60 = 6.40 . . . . . . . . simplify

  0.20x = 3.80 . . . . . . . . . . . subtract 2.60

  x = 3.80/0.20 = 19 . . . . divide by the coefficient of x

The number of quarters is 19. The number of nickels is 52-19 = 33.

Answer:

a = 60°

b = 3cm

Step-by-step explanation:

Congruent angles

Parallel/congruent sides

Answer:

a=120 b=3

Step-by-step explanation:

For A you use 180-60 so you will get 120 for answer.

For B line PQ is parallel to line SR so 3 will be the answer

Answer:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Step-by-step explanation:

5+4i=4i+5

5i-4=-4+5i

-5i-4=-4-5i

Find the two that are the same with the terms swiched around and you get the answer.

Answer:60 pages

Step-by-step explanation:

first take away the zero then devide by 2 then add the zero the the number that your left with.

Answer:

1. No sol.

2. One Sol. x=4

3. One Sol. w=22 1/2

Step-by-step explanation:

1.

Group like terms:

4+3p=6p-3p+5

Add similar elements (6p-3p=3p):

4+3p=3p+5

Subract 4 from both sides:

4+3p-4=3p+5-4

Simplify:

3p=3p+1

Subtract 3p from both sides:

3p-3p=3p+1-3p

Simplify:

0=1

There is no solution.

2.

One Sol. x=4

Switch sides:

3x-2=10

Add 2 to both sides:

3x-2+2=10+2

Simplify:

3x=12

Divide both sides by 3:

3x/3=12/3

Simplify:

x=4

There is a solution.

3.

One Sol. w=22 1/2

Subtract 7 from both sides:

2/3w+7-7=22-7

Simplify:

2/3w=15

Multiply both sides by 3:

3*2/3w=15*3

Simplify:

2w=45

Divide both sides by 2:

2w/2=45/2

Simplify:

w=22 1/2

There is one sol.

Answer:

- 3/2 x²y

Step-by-step explanation:

Multiply the numbers and constant separately.

constant means x any y.

( - 2/3 x ) ( 9/4 xy )

- 2/3 * 9/4 * x * xy

= ( - 2/3 * 9/4 ) * ( x * xy )

= ( - (2*9)/(3*9) ) * ( x²y )

= ( - 18/12 )* x²y

= - 3/2 x²y

Answer:

Step-by-step explanation:

you can think of it backwards,

-50 = 3x - 8y

x = 6y

X x 3 = 3x

6y x 3 = 18y

3x = 18y

18y - 8y = -50

10y = -50

y = -5

6 x -5 = -30

x = -30

Answer:

Ok so i think you can just count it i dont know; edit : i counted, it turns out the answer is 15 :)

Answer:

Between 0 and 1 there is 12, between 1 and 2 there is 112=3/2, and so on. In fact, there are infinitely many fractions between any two whole numbers. Let's see why. Between 0 and 1 there are also 13, 14, 15, and any number that can be written as 1n where n is some whole number.
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Answer:

152 in^2

Step-by-step explanation:

If you take the left side and consider it a whole rectangle, you can calculate the area of that triangle to be 80. Using the same method, you can find the area of the rectangle of the right to be 72. Then add them together.

80 + 72 = 152 in^2

Answer:

It should be D

Step-by-step explanation:

I think it’s D since that’s what I got

Answer: 11.4

Step-by-step explanation:  In the fraction 57/5, 57 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 57/5 is same as "57 divided by 5" or "57 ÷ 5".

When we calculated 57 divided by 5, we found that 57/5 in decimal form is:57 ÷ 5 = 11.4 Therefore, the decimal form of 57/5 is 11.4

Hope I helped <3

Answer:

f(-2) = -3

Step-by-step explanation:

Step 1. Find equation

Step 2. Plug (-2) into f(x)

m, rise/run = (-2-0)/(0-4) = -2/-4 = 1/2

b, y-intercept = (0, -2)

y = 1/2x - 2

f(-2) = 1/2(-2) - 2

f(-2) = -1 - 2

f(-2) = -3

If you want to cheat, simply look for x = -2 on the graph and see where it touches the line. Then match the y-value and BOOM: (-2, -3), f(-2) = -3

Answers:

a) See the table below

b) The equation is [tex]y = 32000(1.01125)^x[/tex]

c) $40,024.02

d) See the graph below

=========================================================

Explanations:

a)

Start with part (b) where I detail how to get the equation.

Once the equation is found, plug in x = 0 to get

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^0\\\\y = 32000\\\\[/tex]

Repeat for x = 1

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^1\\\\y = 32360\\\\[/tex]

Repeat for x = 2, x = 3, x = 4 and x = 20 to get the table shown below.

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

b)

The template for any exponential equation is [tex]y = a(b)^x[/tex]

a = starting amount = 32000

b = growth factor

The annual interest rate is 4.5%

We compound quarterly, so the quarterly rate is (4.5%)/4 = 1.125% which converts to the decimal form 0.01125; adding one to this leads to the growth factor of b = 1.01125

We go from [tex]y = a(b)^x[/tex] to [tex]y = 32000(1.01125)^x[/tex]

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

c)

Plug in x = 20 to represent 20 quarters have elapsed (aka 20/4 = 5 years)

[tex]y = 32000(1.01125)^x\\\\y = 32000(1.01125)^{20}\\\\y \approx 32000(1.25075052084381)\\\\y \approx 40024.016667002\\\\y \approx 40024.02\\\\[/tex]

The investment would be worth $40,024.02 after five years, aka twenty quarters.

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

d)

See below for the graph. I'm using GeoGebra to make the graph. Another option is Desmos. It's preferable to use technology than to graph by hand. If you wanted to graph by hand, then you'd plot each of the points found in the table. Then draw a curve through all those points.

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

[tex]\implies y=32000(1+\frac{0.045}{4})^{4 \times 0.25x}[/tex]

[tex]\implies y=32000(1.01125)^x[/tex]

[tex]\begin{tabular}{|c | c |}\cline{1-2} \bf Quarterly & \bf \$ \\\cline{1-2} 0 & 32000.00\\\cline{1-2} 1 & 32360.00\\\cline{1-2} 2 & 32724.05\\\cline{1-2} 3 & 33092.20\\\cline{1-2} 4 & 33464.48\\\cline{1-2} --- & --- \\\cline{1-2} 20 & 40024.02\\\cline{1-2}\end{tabular}[/tex]

[tex]y=32000(1.01125)^x[/tex]  (where x is the number of quarterly periods)

$40,024.02

see attached

Answer:

v = -3

Step-by-step explanation:

1) Expand.

3v + 4v - 8 = -29

2) Simplify 3v + 4v - 8 to 7v - 8.

7v - 8 = -29

3) Add 8 to both sides.

7v = -29 + 8

4) Simplify -29 + 8 to -21.

7v = -21

5) Divide both sides by 7.

v = -21/7

6) Simplify 21/7 to 3.

v = -3

Answer:

-10 + 28i

Step-by-step explanation:

Multiply the binomials ↓

1*5+3i+(5i*5)+(5i*3i)

Simplify ↓

5+3i+25i+15i²

Combine like terms ↓

5+28i+15i²

Now, since i is the square root of -1, i² (i times i) is equal to -1 ↓

5+28i-15

28i-15+5

28i-10

hope helpful ~

Answer:

x=75

Step-by-step explanation:

99/66=1.5

30x1.5=45

30+45 =75

Step-by-step explanation:

If you were to round 398 to the nearest hundred, you would get 400. that's only 2 off of 398. when you add 400 + 257 that would equal 857 because 4 + 2= 6 and then the other two digits on 400 are zeros so 5 and 7 stay the same. with 857, you must now subtract 2 because you added 2 earlier. 857 - 2 = 855.

Answer:

2515 number of copies sold to date

There are 2 tangent lines that pass through the point

[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]

and

[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]

Explanation:

Given:

[tex]y=\frac{x}{x+1}[/tex]

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

[tex]y=m(x-1)+2[/tex] [tex][1][/tex]

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for [tex]m[/tex]:

[tex]\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\[/tex]

[tex]\frac{dy}{dx} =\frac{x+1-x}{(x+1)^2}[/tex]

[tex]\frac{dy}{dx}= \frac{1}{(x+1)^2}[/tex]

[tex]m=\frac{1}{(x+1)^2}[/tex] [tex][2][/tex]

Substitute equation [2] into equation [1]:

[tex]y=\frac{x-1}{(x+1)^2}+2[/tex] [tex][1.1][/tex]

Because the line must touch the curve, we may substitute [tex]y=\frac{x}{x+1}:[/tex]

[tex]\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2[/tex]

Solve for x:

[tex]x(x+1)=(x-1)+2(x+1)^2[/tex]

[tex]x^2+x=x-1+2x^2+4x+2[/tex]

[tex]x^2+4x+1[/tex]

[tex]x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex]

[tex]x=-2[/tex] ± [tex]\sqrt{3}[/tex] [tex]and[/tex] [tex]x=-2-\sqrt{3}[/tex]

There are 2 tangent lines.

[tex]y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2[/tex]

and

[tex]y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2[/tex]

Answer:

one hundred twenty-five and sixty-five thousandths

Step-by-step explanation:

The 125 part is simply one hundred twnty five.

The .065 has the 5 in the thousandths place, so it is sixty-five thousandths.

Answer: one hundred twenty-five and sixty-five thousandths