The prime factorization of 100 is 4x25. Show a factor tree!

Percentage discount

[tex]\\ \rm\rightarrowtail \dfrac{2}{86.25}{100}[/tex]

[tex]\\ \rm\rightarrowtail 0.0232(100)[/tex]

[tex]\\ \rm\rightarrowtail 2.32\%[/tex]

Answer:

2.3% (nearest tenth)

Step-by-step explanation:

[tex]\sf percentage \ change =\dfrac{|final \ value - initial \ value|}{initial \ value} \times 100\%[/tex]

Given:

[tex]\sf \implies percentage \ change =\dfrac{|84.25-86.25|}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =\dfrac{2}{86.25} \times 100\%[/tex]

[tex]\sf \implies percentage \ change =2.3\% \ (nearest \ tenth)[/tex]

Answer:

D

Step-by-step explanation:

They all move 1 unit up.

The mapping notation essentially tells you, what you do to each point to get the image point.

In this case (x,y)→(x,y+1) is telling you, for any given coordinate on the original, you add 1 to its y coordinate. Adding 1 to a y coordinate moves it up one unit.

Answer:

9 miles

Step-by-step explanation:

0.75x12=9

or

75x120=90

90/10=9

If Ben runs 3/4 mile each day than he runs 9 miles in 12 days.

To find out how many miles Ben runs in 12 days

we need to multiply the distance he runs each day (3/4 mile) by the number of days (12).

First, let's convert 3/4 mile to a decimal:

3/4 mile = 0.75 mile

Now, we can calculate the total distance Ben runs in 12 days:

0.75 mile × 12 days

= 9 miles

Therefore, Ben runs 9 miles in 12 days.

To learn more on Unit of Measurement click:

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Answer:

Im thinking the answer is 90.

Step-by-step explanation:

There are 360 and that is a small section for 120 or 180 people to all take a break at.

-Hope this helps!

-Justin

Answer:

4.2

Step-by-step explanation:

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.

Answer:

y = 0

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values of the function.

maximum = 0.5 and minimum = - 0.5 , then

y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

the equation of the midline is y = 0 ( that is the x- axis )

Answer:

y=0

Step-by-step explanation:

y = 0.5−0.52\(0.5-0.5)(2)

2

0.5−0.5

= -0.02/0

= 0

The midline is y=0

Circle KJI center L, radius LK/diamter KI?

Answer:

$0.90

Step-by-step explanation:

0.0725(12.40) = 0.899
0.899 = 0.90
Hope this helps :)

Answer:

 2a2 • (a + 1) • (a - 3)

Step-by-step explanation:

The slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Surface area (SA) = a² + 2al

Given the following parameters:

Plug in the values into (SA) = a² + 2al:

304 = 8² + 2(8)l

304 = 64 + 16l

304 - 64 = 16l

240 = 16l

240/16 = l

15 = l

l = 16

Therefore, the slant height of the square pyramid that has a surface area of 304 sq. in. is: 16 inches.

Learn more about surface area of a square pyramid on:

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Answer:

-4.1-4.1212

Step-by-step explanation:

Log2^2-log 2^16

log2^2/2^16

log2^2-16

log2^-14

-14log2

-14×0.3010

-4.1-4.1214

Answer:

one real solution

Step-by-step explanation:

it has only one solution since it is a linear graph and only intercepts the x axis once

Answer:

D (last one)

Step-by-step explanation:

You figure out the ordered pair for E which is (3,-4)

Then you apply the rule given in the instructions.

so you do 3+8= 11 so x = 11

then -4+5= 1 so y = 1

So you get (11,1)

Answer:

200

Step-by-step explanation:

4 multiplied by 50 = 200

400 divided by 200 = 2

so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)

Answer:

x is 6 degrees

Step-by-step explanation:

so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90  because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)

7x + 8x = 90

15x = 90

x = 90/15

x = 6

Answer:

Explanation:

Both the angles lie inside a right angle, whose total sum is 90 degrees.

Solve:

Each of the angle:

Answer:

6 gallons

Step-by-step explanation:

30-----------4

45------------x

30x = 45x4

30x=180

x=6

                        A shortcut:

45 is ( 30+ half of 30)

( 4 + half of 4) = 4+2 =6

6 gallons

[tex]Assuming\ that\ it\ will\ take\ x\ gallons\ waters[/tex]

[tex]to\ water\ 45\ plants.[/tex]

[tex]4:30=x:45[/tex]

  [tex]30x=4\times 45[/tex]

     [tex]30x=18[/tex]°

         [tex]x=180\div 3\\ x=6[/tex]

[tex]\left\{If\right.\ a:b=c:d,\ then\ ad=\left.\ bc\right\}[/tex]

I hope this helps you

:)

This question is asking for the y-intercept. The y-int is when x = 0.

First, plug in x as 0...

y = 3(0) + 5

y = 0 + 5

y = 5

Lines come in the form y = mx + b

m is slope, b is the y-intercept

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Answer:

x= -2, 0

Step-by-step explanation:

First, you know that Jackson (let call her J) scored 42 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.

So the equation will be J=42+x.

We also know that the total points is 1,144.

To find out what x is we first subtract 1,144-42.  We then get 1,102.

We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.

551=x so now we can plug that in.

J = 551 + 42

Jackson scored 593 points and Leslie scored 551 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06

Answer:

9/12

Step-by-step explanation:

There are 3 pies, the total amount of slices before they were eaten is 12. If you add the slices left..3+3+3 that would be 9

Answer:

D: 2 1/4

Step-by-step explanation:

I'm not really sure though. But since there are 3 apple pies if you take one slice from one of the pies and add it to another pie it will make one whole pie and then after there is one whole pie you do the same to another pie and their is 2 whole pies and their is one slice remaining and there is 4 whole slices in a whole pie so there fore I'm guessing that the answer is 2 1/4

I hope that helped. :)

Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350

Answer:

n = 17

Rule:  y = 2x + 1

Step-by-step explanation:

By inspection of the first two ordered pairs in the given table, it appears that for each 1 unit increase in x, y increases by 2 units.

To check this, write the ordered pairs with 5 ≤ x ≤ 10 using this rule:

(5, 11)  (6,13)  (7, 15)  (8, 17) (9, 19) (10, 21)

As the ordered pair (10, 21) appears in the table, then we can confirm that this is the rule and that it is a linear function.

If y increases by 2 units for every 1 unit increase of x, then the slope of the linear function will be 2.

Using the point-slope form of a linear function: [tex]\sf{y-y_1=m(x-x_1)}[/tex]

(where m is the slope and [tex]\sf(x_1,y_1)[/tex] is a point on the line)

Given:

Substituting these values into the formula:

[tex]\implies \sf{y-11=2(x-5)}[/tex]

[tex]\implies \sf y=2x+1[/tex]

Therefore, the rule is [tex]\sf y=2x+1[/tex]

To find n, simply substitute x = 8  and y = n into the equation:

[tex]\implies \sf n=2(8)+1=17[/tex]

Therefore, n = 17

Take 2 points and form equation

Slope:-

Equation in point slope form

So

for n

Answer: $284.20

Step-by-step explanation:

In the picture

Answer:

8a-9=7a+1 (inscribed angle are equal standing on the arc)

8a-7a=1+9

a=10

Answer:

Step-by-step explanation:

I'll work on the left triangle first:

tan 20 = x /10

x = 10tan 20 = 3.64

cos 20 = 10/y

y = 10/cos20 = 10.64.

tan 70 = 12/x

x = 12/tan 70 = 4.37.

sin 70 = 12/y

y =  12/sin70 = 12.77.