A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?

Answer:

Step-by-step explanation:

To change a decimal into a percent you multiply by 100.

If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5

Answer:

how to get a percentage from a decimal is when you take the decimal point and move it twice to the left

Step-by-step explanation:

for example

.07 = 7%

does that make sense?

Answer:

A or B

Step-by-step explanation:

sry if im wrong-happy new year!

Answer:

x ≈ 58.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

Answer:

I think 53

Step-by-step explanation:

If the biggest line is 100 the do 100-47=53

Sorry if I’m wrong

Answer:

3x²y==

Step-by-step explanation:

Multiple the number

Answer:

y  = 3

Step-by-step explanation:

P ( 1 , 3)    and  Q ( 3 , 3 )

The straight line is parallel to the x-axis since the two points have the same y.

The intercept with the y-axis is 3.

The slope-point equation for a line is:

y  = m*x + b             (1)

m is the slope and  b is the intercept with the y-axis

To calculate the slope

m =  (  y₂ -  y₁ ) /  ( x₂  -  x₁ )

m =  3 - 3 / 3 - 1          m   = 0 / 2      m  = 0

therefore, equatio (1) becomes

y  =  0*x + 3

y  = 3

Answer: are there choices?

Step-by-step explanation:

Answer:

Given:

Principal= $5,000

After 3 years, Amount= $7,100

After 8 years, Amount= $10,350

Step-by-step explanation:

Interest after 3 years= $7,100- $5,000

                                   =$2,100

Interest in last 5 years= $10,350- $7,100

                                    =$ 3,250

Difference between first 3 years and last 5 years= $3,250- $2,100

                                                                                 =$1,150

Amount= Principal*[tex](1+r/100)^{t}[/tex]

10,350=5000[tex](1+r/100)^{8}[/tex]

[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]

2.07=[tex](1+r/100)^{8}[/tex]

[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]

1.095-1=[tex]\frac{r}{100}[/tex]

0.095*100=r

r=9.5%

Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]

                    =$475

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

Answer:

a) x = 24

b) x = 20

Step-by-step explanation:

a) x÷3 - 2 = 6

+2 +2

x÷3 = 8

×3 ×3

8 × 3 = 24

x = 24

b) x÷5 + 1 = 5

-1 -1

x÷5 = 4

×5 ×5

4 × 5 = 20

x = 24

Answer:

16 lessons

Step-by-step explanation:

12 divided by .75 = 16

Answer:

16

Step-by-step explanation:

Given that,

A TV is 27 inch diagonally across the screen.

To find,

The dimensions that best describes a 37 inch TV.

Solution,

Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

[tex]c=\sqrt{a^2+b^2}[/tex]

If dimensions are 15 x 34,

[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]

If dimensions are 16.5 x 32,

[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]

If dimensions are 17 x 28,

[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]

If dimensions are 17 x 32,

[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).

Answer:

___________________________________________________________

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

___________________________________________________________

Answer:

27 units

Step-by-step explanation: 21 +6 = 27 they are 27 units apart

Answer:

SRT

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

a L is a right angle, a right angle is 90 degrees.  if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.

Sell price = purchase price x Mark up

Sell price = 140 x 220%

Sell price = 140 x 2.2 = 308

Sell price = $308

Answer:

both angles are acute

Step-by-step explanation:

Answer:

First/Top graph.

Step-by-step explanation:

First, we need to solve the inequality for n:

-6n + 5 < 11 (Given)

-6n < 6 (Subtracted 5 on both sides)

n > -1 (Divided -6 on both sides)

NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.

Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.

Therefore, the first graph is the correct answer.

Answer:

the answer is b the solution is 6

Answer:

[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]

[tex]b) \: x = \frac{2}{5} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

Answer:

8 weekend hours can now be purchased.

Note: The prior information required is:

You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.

Step-by-step explanation:

Initial cost of weekday hours = $2/ hour

Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour

Total week hours purchased = 26 hours

Let the number of weekend hours be x; number of weekday hours will be 26 - x

Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;

(26 - x) × $6 + $10 × x = $220

$10x - $6x + $156 = $220

$4x = $(220 -156)

x = 64/4

x = 8 hours

Therefore, 8 weekend hours can now be purchased

Answer:

e represent a fraction happy to help

Answer:

15 centimeters

Step-by-step explanation:

Ratio of Mr. Thompson rectangle = length : width

= 5 : 2

Audrey plans to draw a rectangle with a width of 6 centimeters.

Ratio of Audrey rectangle = length : width

= x centimeters : 6 centimeters

Equate the two ratios to find the value of x

5 : 2 = x : 6

Cross product

5 * 6 = 2 * x

30 = 2x

Divide both sides by 2

x = 30 / 2

= 15

x = 15 centimeters

Audrey's rectangle should have a length of 15 centimeters

Answer:

15

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3.  Multiply 0.6 on both sides to get 1 as your final answer.

Answer:

1

Step-by-step explanation:

0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1

Answer:

3b = 27

Step-by-step explanation:

They will each receive 9 books

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358

Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]

[tex]=\dfrac{29}{6}[/tex] miles

Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.

[tex]=6\dfrac{5}{4}[/tex]   miles.

Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Answer:

-7

Step-by-step explanation:

-7x-5= -10x-26

-7x= -10x-21

3x= -21

x=-7