#9 Can anyone please help me, this is Pythagoras Theorem Converse.

Answer:

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

Step-by-step explanation:

System of Equations

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

3x + 5y = 185        [2]

We have formed the system of equations:

5x + 12y = 400        [1]

3x + 5y = 185        [2]

Multiply [1] by -3 and [2] by 5:

-15x - 36y = -1200

15x + 25y = 925

Adding both equations:

-11y = -275

Dividing by -11:

y = -275/(-11) = 25

y = 25

Substituting in [1]:

5x + 12*25 = 400

5x + 300 = 400

5x = 400 - 300 = 100

x = 100/5 = 20

x = 20

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

Answer:

Let the maximum time be x

She can work 30 hrs or below ( maximum of 30 hrs)

Therefore, the equation is

[tex] \huge \boxed{x \leqslant 30 \: hours}[/tex]

Answer:

4.5%

Step-by-step explanation:

I am pretty sure that 6 percent of 75 is 4.5..

I hope that this helps u

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \underline{ \text{Solution}}}: [/tex]

First , finding the amount of interest :

[tex] \boxed{ \sf{Interest = \frac{PTR}{100}}} [/tex]

⇢ [tex] \sf{Interest = \frac{1800 \times 5 \times 3}{100}} [/tex]

⇢ [tex] \sf{Interest = \frac{27000}{100}} [/tex]

⇢ [tex] \sf{Interest = £ 270}[/tex]

Now , Finding the total amount :

[tex] \boxed {\sf{Total \: amount = Principal + Interest}}[/tex]

⇢ [tex] \sf{Total \: amount = 1800 + 270}[/tex]

⇢ [tex] \sf{Total \: amount = \: £ 2070}[/tex]

[tex] \red{\boxed{ \boxed{ \tt{Our \: final \: answer : brian \: will \: have £ 2070 \: after \: 3 \: year.}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

(x-6)/8

Step-by-step explanation:

it cannot be simplified any further

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

the red skittles be 44 and yellow skittles be 17

Step-by-step explanation:

The computation of the number of each color are in the bowl is as follows;

Let us assume the red skittles be y

And, the yellow skittles be x

The first equation is

x + y = 61

And, the second equation is

y = 2x + 10

Now put the second equation in the first equation

x + 2x + 10 = 61

3x = 51

x = 51 ÷ 3

= 17

And, y = 2 (17) + 10

= 34 + 10

= 44

Hence, the red skittles be 44 and yellow skittles be 17

Answer:

13°C

Step-by-step explanation:

The number of hours that the temperature fluctuates is irrelevant to the problem.

This problem is asking how many degrees did the temperature increase in order to go back to 30°C after being decreased by 13°C.

Find the new temperature after it decreased:

If the temperature after decreasing is 17°C, it needs the same amount it was decreased by to go back to 30°C.

Therefore, the temperature subsequently increased by 13°C to go back to 30°C after being decreased by 13°C.

Answer:

5 X 6 = 30

12 X 10 = 120

120/30 = 4

answer is C quadrupled

Answer:

14%

Step-by-step explanation: Just count the boxes they show you what percent it is

Answer:

12.3693

Step-by-step explanation:

use distance formula

Answer:

and 4 easy

2

Step-by-step explanation:

Answer:

D) 180°

Step-by-step explanation:

Answer:  

Step-by-step explanation:

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

Answer:

are parallel

Step-by-step explanation:

Answer:

Your answer is:

Step-by-step explanation:

dun, dun, DUNNN

parallel lines!

I hope this helps!

- sincerelynini

Answer:

7a - 21 + 28b

Step-by-step explanation:

using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:

7a - 21 + 28b

Answer:

22π

Step-by-step explanation:

Answer:

B, C, D, E

Step-by-step explanation:

Answer:

50ml

Step-by-step explanation:

5 + 4 = 9

450ml/9 = 50ml

one share is 50ml

Answer:

The answer is A. $421.29

Step-by-step explanation:

Just keep finding 19% of the numbers next, and you add that all up and you get the answer.

250 x 19%=47.5. (250+47.5)=> 297.5x19%= 56.525. (297.5+56.525) =>354.025x19%=67.26475

354.025+67.26475=> 421.28975, which can round up to 421.29.

Answer:

easports

Step-by-step explanation:

its in the game

Answer:

a= 22.5

b= 37.5

Step-by-step explanation:

In △BCD:

Applying Pythagoras' Theorem,

a² +30²= b²

a² +900= b² -----(1)

In △ABC:

Applying Pythagoras' Theorem,

b² +50²= (40 +a)² -----(2)

Substitute (1) into (2):

a² +900 +50²= 40² +2(40)(a) +a² (expand bracket)

a² +900 +2500= 1600 +80a +a²

a² +3400= a² +80a +1600 (simplify)

a² +3400 -a² -80a -1600= 0 (bring everything to 1 side)

-80a +1800= 0

80a= 1800 (+80 on both sides)

a= 1800 ÷80

a= 22.5

Subst. a= 22.5 into (1):

22.5² +900= b²

b²= 506.25 +900

b²= 1406.25

b= √1406.25 (square root both sides)

b= 37.5 (reject negative value since b is a length)

☆(a +b)²= a² +2ab +b²

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

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https://brainly.com/question/1844971

Answer:

a.

[tex]h=\dfrac{2A}{b}[/tex]

b.

A = 220 mm²

b = 20 mm

[tex]h=\dfrac{2 \cdot 220}{20}=22 \: {mm}[/tex]

Answer:

A=1/2bh

2*A=1/2bh*2

2A/b=bh/b

h=2A/b

b)h=2(220)/20

height=22mm

Step-by-step explanation:

Answer:

z=-13/7

Step-by-step explanation:

1. Add 3z(7z+5=-8)

2. Subtract 5(7z=-13)

3. Divide 7(z=-13/7)

Answer:

pineapples

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

7x15=105

Answer: 35

Step-by-step explanation:

If you multiply 5X7 it gives you 35 if 3lbs cost 15 that means every lb cost 5 , or you can add 5 +5 till you get 35

Answer:

84%

Step-by-step explanation:

[tex]\frac{21}{25}[/tex]

25 needs to be equal to 100, so it would need to be multiplied by 4.

So, do the same thing the numerator 21.

[tex]\frac{84}{100}[/tex]

84/100 is equal to 84%

Answer:

[tex]\frac{21*4}{25*4} =\frac{84}{100}=84%[/tex]%