H
Write the decimal as a fraction.
0.5 = 11
[?]
Simplify your answer completely.

Answer:

5) [tex]x=\sqrt{317}[/tex]

6) [tex]x = \sqrt{186}[/tex]

Step-by-step explanation:

You have to know Pythogeroem theorem, which is:

[tex]a^2 +b^2 = c^2[/tex],   where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)

5)

Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.

[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]

6) Hypothesis is [tex]\sqrt{226}[/tex]

 [tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]

Same steps for 7) and 8)

The interest rate Mr Frank must invest his money is at 10% per year compounded monthly

That is option 1.

The amount for Mr Frank's son school fees = R60 000.00

Cash at hand( principal amount) = R46 150.30

Therefore the simple interest needed to make up R60 000.00= R60 000.00 - R46 150.30= 14,849.70

Time of investment = 3 years

Therefore the rate = simple interest × 100/ principal×time

Rate (R) = 14,849.70 × 100/ 46 150.30× 3

= 1,484,970/135,450.9

= 10.0%

Therefore, the interest rate Mr Frank must invest his money is at 10% per year compounded monthly.

Learn more about simple interest here:

https://brainly.com/question/25793394

Answer:

55

Step-by-step explanation:

[tex]f(x) = 6{x}^{2} - x - 2[/tex]

[tex]f( - 3) = 6 { (- 3)}^{2} - ( - 3) - 2[/tex]

[tex]f( - 3) = 6(9) + 3 - 2[/tex]

[tex]f( - 3) = 54 + 1 = 55[/tex]

[tex]f( - 3) = 55[/tex]

I hope it helped you

Step-by-step explanation:

2nd one

we need 3 2/5 that is 3+ 2/5

-7 1/5 = -7-1/5

so 2nd one

Answer:

22.4

Step-by-step explanation:

Let that number be " x ".

The difference between 32.6 and a number is 10.2

32.6 - x = 10.2

Add x on both sides,

32.6 - x + x = 10.2 + x

32.6 = 10.2 + x

10.2 + x = 32.6

Substract x on both sides,

10.2 - 10.2 + x = 32.6 - 10.2

x = 22.4

Therefore,

The number is 22.4

Answer:

22.4

Step-by-step explanation:

First we can make an equation to find the unknown number:

Difference mean subtraction:

32.6 - x = 10.2

To do this we can subtract 32.6 from both sides to isolate -x or to make -x the subject:

32.6-x-32.6 = 10.2 - 32.6

-x = -22.4

Now we can multiply both sides by -1 to make x positive:

-(-x) = -(-22.4)

x= 22.4

Answer:

The ten-thousands place. :)

Step-by-step explanation:

Answer:

Ten thousands place.

Answer:

[tex]\displaystyle 5,9708213214...\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]

I am joyous to assist you at any time.

Answer:

Answer to part A:

1 notebook = $2.5

1 pen = $1.5

Answer to part B:

           = 3 pens.

Step-by-step explanation:

4n + 3p = $14.50

5n + 6p = $21.50

5(4n + 3p) = $14.50

4(5n + 6p) =$ 21.50

20n + 15p = $72.50

20n + 24p = $86

20n - 20n        = 0

15p - 24p         = -9p

$72.50 - $86   = -$13.5

-$13.5 ÷ -9 = $1.5p

4n + 3p = $14.50

4n + 3($1.5) = $14.50

4n + $4.5 = $14.50

4n = $14.50 -  $4.5

4n = $10.00

n = $2.5

1 notebook = $2.5

1 pen = $1.5

1 ($1.5) = 3($2.5)

$1.5 + $7.5 = $9.0

$27 ÷ 9 = $3

3 ( $1.5 + $7.5 ) = 3 ( $9.0 )

( $4.5 + $22.5 ) = ( $27 )

  $4.5 + $22.5 = $27

           = 3 pens.

17min

hope it helps...!!

Answer:

17 minutes

Step-by-step explanation:

Between 2:43 pm and 3:00 pm is 17 minutes. This means that by 3:00 pm, Kevin will have spent 58 minutes (75-17). By 3:58 pm, Kevin will have been done with this test. From 3:58 pm to 4:00 pm is 2 minutes in addition to the 15 minutes (4:15 pm) is 17 between the end of the test and the beginning of football practice.

Answer:

My brains wires got crossed just reading this.

（；´д｀）ゞ

So give me a second while I try to wire them back.

...

...

Ok so,

Here's a little scale

0 1 2 3 4 5 6 7 8 9

^ ^ ^

Here is 0 Here is 5 And here is 9

So,

You say 9 is farther from 9 than 5. How if 9 is at 9? (っ °Д °;)っ

Can't help you there m an.

¯\_(ツ)_/¯

Then you say 5 is farther from 0 than 9.

Its actually closer to 0 than 9 is from 0. Like literally count backward and you can see you have to count less from 5 to 0 than you would for 9 to 0.

Im not sure dude.

Im a little confused now.

What were you even asking for in the first place?

｢(ﾟﾍﾟ)

Answer:

this question have the 552.792 and centimeters of square

Answer:

26

Step-by-step explanation:

(5x3) + (8+3)

 15 + 11

    26

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{= 5x^3 \: + \: 19}[/tex]

[tex]\sf{5x^3 \: + \: 8 \: + \: 8 \: + 3}[/tex]

[tex]\sf{Add \: the \: numbers: \: 8 \: + \: 8 \: + \: 3 = 19}[/tex]

[tex]\sf{= 5x^3 \: + \: 19}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

The Answer is 108, simply you find the volume of the cube 6 x 6 x 6 = 216. Since there are 108  "1-inch" cubes that fill the big cube half way you divide the volume of the big cube 216 by 2, so 216/2 which 108 will be your answer because, if you have a big cubed box that measures 6 inches in width, height, and length and you have 216 "1-inch" cubes, then you fill the box halfway, you will be left over with 108 "1-inch" cubes. You can also think about this with a cup of water, if you pour 3 cups of water into a glass and you drink half of that glass you will have half a cup of water or 1.5 cups of water left, if you drink 1/3 of the glass you will have 2 cups left. Hope I helped and Brainliest would be appreciated

Step-by-step explanation:

:)

Answer:

108

Step-by-step explanation:

hopefully it helps :)

Answer:

The answer is x(4)

Step-by-step explanation:

you multiply

By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Ratio simply compares values, it shows how much of one thing is related or compared to another thing.

Given the data in the question;

To determine the weight of Ellie, we simply say;

0.75pounds : 0.9pounds = 6.4pounds : X

0.75pounds / 0.9pounds = 6.4pounds / X

Cross multiply

0.75pounds × X = 0.9pounds × 6.4pounds

0.75pounds × X = 5.76pounds²

X = 5.76pounds² / 0.75pounds

X = 7.68pounds

X = 7.7pounds

Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Learn more about ratio here: https://brainly.com/question/13419413

The number of years it will take the balance to reach $5,518.73 with annual compounding is  9.87 years.

When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.

The formula that can be used to determine the number of years is:

Number of years =  (In FV / PV) / r

(in 5518.73/4228) / 0.027 = 9.87 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Answer:

Step-by-step explanation:

Sam published his first book, a collection of poetry, at the age of 16.

Answer:

Destin

Step-by-step explanation:

Only one that passes 85

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

To learn more about the range visit:

https://brainly.com/question/10197594

Answer:

i'd say an estimate of 1/4

im just guessing im only good at middle school math

Step-by-step explanation:

Answer:

hello the answer is B

Step-by-step explanation:

because 2+2+2+2+22+2+2+2+2++2+2+2+2++2++2+2+2+2++2+2+2+2++2+2+2+2+2+2+2+2+2+2++2=I don't know

Answer:

5/15

Step-by-step explanation:

15 students and 10 passed which means 5 failed

Answer:

The fraction is 1/3 or one-third.

Step-by-step explanation:

Have you smiled today? its very important:)

Look at the screenshot.

Answer:

Given, the dimension of a rectangular block in from of cuboid is in the ratio 5:4:3. The volume of the block is equal to the volume of cube of length 28 cm. Let the length , breadth and height of the cuboid be 5x , 4x and 3x respectively. Therefore the length of the longest side of the cuboid is = (7.2×5)cm=36 cm.

Step-by-step explanation:

Using it's concept, it is found that there is a 85% probability that the moviegoer is not in the 65-74 age range.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the total number of moviegoers is given by:

T = 1224 + 1220 + 940 + 830 + 730 = 4944.

Out of those, the number not in the 65-74 age range is:

D = 4944 - 730 = 4214.

Hence, the probability is given by:

p = 4214/4944 = 0.85 = 85%.

There is a 85% probability that the moviegoer is not in the 65-74 age range.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

8

Step-by-step explanation:

put in '2' where 'x' is

2 (2^2) + 3 ( 2) - 6 = 8