Find the unit rate. ​

Answer:

5-18 answers below ↓

Step-by-step explanation:

5) 14/2=7

7^2=49

10^2=100

h^2+49=100

-49 -49

h^2=51 h=✓51= 3•17

6) 48/2= 24

24^2=576

44^2=1936

h^2+576=1936

-576 -576

h^2=1360 h=✓1360= 4•340

7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)

576+b^2=1024

-576 -576

b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..

8) 24^2+b^2=45^2

576+b^2=2025

-576 -576

b^2=1449 b=✓1449=9•161 length of 3rd side hypo..

9) 40^2+b^2=85^2

1600+b^2=7225

-1600 -1600

b^2=5625 b^2=✓5625 b=75 length of 3rd side leg

10) 49^2+b^2=168^2

2401+b^2=28,224

-2401 -2401

b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..

11) 72^2+b^2=78^2

5184+b^2=6084

-5184 -5184

b^2=900 b=✓900=30 length of 3rd side leg

12) 7^2+x^2=10^2

49+x^2=100

-49 -49

x=51=3•17

13) 12^2+x^2=28^2

144+x^2=784

-144 -144

x=✓640=4•160

14) 44^2+x^2=52^2

1936+x^2=2704

-1936 -1936

x=✓768=4•192

15) 120^2+h^2=125^2

14,400+h^2=15,625

-14,400 -14,400

h^2=1,225 h=✓1225 h=35

16) might be wrong but worth a try 8+8=16

16^2+x^2=16^2

256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:

Answer:

18 Non Foreign Stamps

Step-by-step explanation:

Given data

Total stamps= 150

Foreign Stamps= 88% of the total stamps

Hence the number of foreign stamps is

=88/100*150

=0.88*150

=132 Foreign Stamps

The number of stamps that is Non Foreign Stamps is

=150-132

=18 Non Foreign Stamps

Answer:

e=3.4

Step-by-step explanation:

Your equation is 2e=6.8

All you have to do is divide both sides by 2 and get that:

e=3.4

The solution for 2e=6.8 is 3.4

Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given equation is: 2e=6.8

Divide both by 2, to make the coefficient of e 1.

2e/2=6.8/2

e=3.4

Hence, the solution of the equation is 3.4.

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Answer:

$ 20,189.65

Step-by-step explanation:

Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?

From the above question, we are to find the Principal. The formula for Principal compounded continuously =

P = A / e^rt

Where:

A = Amount after time t = $100,000

r = Interest rate = 4%

t = Time in years = 40 years

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for P

P = A / e^rt

P = 100,000.00 / e ^(0.04×40)

P = $ 20,189.65

Therefore, the amount Jake's parents should invest = $ 20,189.65

Answer:

5.6

Step-by-step explanation:

Answer:

8,14,9 = yes

8 + 14 > 9 ✅

17,4,13 = yes

17 + 4 > 13 ✅

9,9,9 = yes

9 + 9 > 9 ✅

22,23,60 =  no

22 + 23 > 60 ❌

Answer:

m=3     b=-2       y=3x-2

Step-by-step explanation:

The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.

The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b

The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.

Answer:

Step-by-step explanation:

4x³ - 8x² - 12x = 4x ( x² - 2x - 3)

                       = 4x (x² + x - 3x - 3*1)

                       = 4x [ x(x + 1) - 3(x +1)]

                       = 4x [ (x +1) (x - 3)]

                       = 4x  (x + 1)(x-3)

Answer:4x^3 -8x^2- 12x

Taking common4 x

4X(x²-2x-3)

Doing middle term factorization

4x(x²-3x+x-3)

4x(x(x-3)+1(x-3))

4x(x-3)(x+1) is your answer

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

0.775

Step-by-step explanation:

is 5he answer

Step by step

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

-10+59=5m=7+3m

49=5m=7+3m

49-7=5m-3m

m=42/2

m=21

Answer:

21

Step-by-step explanation:

-10+59 = 5m = 7 + 3m

49 = 5m = 7 + 3m

49 - 7 = 5m - 3m

42 = 2m

42/2 = m

m= 21

Answer: 6

Step-by-step explanation: The way to solve this problme is to move backwards. Instead of adding you would subtract the number after the equal sign and whatever number before. It's kind of like a fact family!

10-4=6 so the answer is 6.

I hope this help you out, have an awesome day! :)

Answer:

8-6.14= 1.86

That's what you get

Answer:

you would get $1.86 back

Answer:

1.41226231144

Step-by-step explanation:

Answer:

Step-by-step explanation:

16cos(30)-20sin(60) -8sin(90)

look at the pattern of the numerators Millie, you can remember all of the sin and cos  functions at the special angles now. :)

sin(0) = 0 / 2

sin(30) = 1 / 2

sin(45) = [tex]\sqrt{2}[/tex] / 2

sin(60) = [tex]\sqrt{3}[/tex] / 2

sin(90) = [tex]\sqrt{4}[/tex] / 2   aka  1

now the numerators just count up from 90°

cos(90) = 0 / 2

cos(60) = 1 / 2

cos(45) = [tex]\sqrt{2}[/tex] / 2

cos(30) = [tex]\sqrt{3}[/tex] / 2

cos(0) =  [tex]\sqrt{4}[/tex] / 2   aka  1

see the pattern.. it's pretty easy to memorize, knowing that :)

now let's use the above to plug into the given equation

16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2

8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex]  -8

-2*[tex]\sqrt{3}[/tex]  - 8

this isn't quite the same answer as you got before.. I feel like it's right

Answer:

SA = 108cm² (the 2nd option)

Step-by-step explanation:

h = 4

l = 3

w = 6

SA = 2(lw + lh + wh)

SA = 2((3)(6) + (3)(4) + (6)(4))

SA = 2(18 + 12 + 24)

SA = 2(54)

SA = 108cm²

The surface area of the rectangular prism is 108cm².

Since

height = 4

length = 3

width = 6

So, here the surface area is

SA = 2(lw + lh + wh)

= 2((3)(6) + (3)(4) + (6)(4))

= 2(18 + 12 + 24)

= 2(54)

= 108cm²

hence, The surface area of the rectangular prism is 108cm².

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Answer:  -10; -2; 0

Step-by-step explanation:

≥ means greater or equal than.

-10 is equal -10, true.

-14 is less than -10, so false.

-2 is greater than -10, true

0 is greater than -10, true

so the answer is -10, -2 and 0 can make this inequality true.

Answer:

50 percent

Step-by-step explanation:

Total number of people in this car survey = 1200

Total number of people who they would still buy same car type = 600 (these are the satisfied people)

The percentage = 600/1200 x 100

= 0.5 x 100

= 50 percent

So the percentage of satisfied people who would buy this type of car again is 50%

Answer:

B. r = 3√(3V - 4π)

Step-by-step explanation:

volume of a sphere,V = 4/3πr³

Solve for r

V = 4/3πr³

V - 4/3π = r³

r³ = V - 4π/3

Cross product

r³ = V*3 - 4π

r³ = 3V - 4π

Find the cube root of both sides

3√r³ = 3√(3V - 4π)

r = 3√(3V - 4π)

Answer:

234.67 in³

Step-by-step explanation:

volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³

volume of half sphere = 523.33/2 = 261.67 in³

volume of cube = LWH = 3³ = 27 in³

261.67 - 27 = 234.67 in³

Answer:

A = 24 cm²

Step-by-step explanation:

The area (A) of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] × AB × AC

Calculate AC using Pythagoras' identity

AC² + AB² = BC²

AC² + 6² = 10²

AC² + 36 = 100 ( subtract 36 from both sides )

AC² = 64 ( take the square root of both sides )

AC = [tex]\sqrt{64}[/tex] = 8

Then

A = 0.5 × 6 × 8 = 24 cm²

Answer:

100. ~113

x ~ 5763(assume that X is price without VAT)

100×5763=113×x

X. =(5763×100)/113. (5763/113=51)

X= 51×100

X =5100

VAT=5763-5100

=RS.663

Given:

Interest rate,

Object price,

The value added tax will be:

→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]

→       [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]

                 [tex]= 663[/tex]

Thus the approach above is right.  

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Answer:

he spent $8.33 on each shirt

Answer:  -50x^3 - 25x^2 - 110x - 55

Step-by-step explanation: brainliets if its right

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

Answer:

Mark sold 12 cupcakes, meaning Gracie sold 16.

4 threes, and 4 fours.

Mark            Gracie

O O O          O O O O

O O O          O O O O

O O O          O O O O

O O O          O O O O

Answer:

Step-by-step explanation:

m/g=3/4

m=3g/4, now we can express m in terms of g

g=4+m, using m found above in this equation gives you

g=4+(3g)/4

4g=16+3g

g=16, since m=3g/4

m=3(16)/4

m=48/4

m=12

So total cupcakes sold is 12+16=38.

38 cupcakes were sold.

Answer:

Part A

The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1

Part B

It would take Lara 18 hours to clean the tank if she works by herself

Step-by-step explanation:

Part A

The time it takes Kevin to clean an aquarium tank alone = 9 hours

The time it takes Kevin and Lara to clean the tank together = 6 hours

Let '1/x' represent Lara's cleaning rate, we have;

The time it would take Lara to clean 1 tank alone = 1/(1/x) = x

Kevin's cleaning rate, y = 1/9 tank per hour

The number of tanks, z =  tank

The total time it takes both of them to clean the tank, t = 6 hours

Therefore, we get;

t × y + t × 1/x = z

When t = 6, y = 1/9, and z = 1, we get;

6 × (1/9) + 6·(1/x) = 1

Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;

6/9 + 6·(1/x) = 1

6/9 + 6/x = 1

Part B

Solving the rational equation gives;

1/x = (1 - 6/9)/6 = 1/18

∴ 1/x = 1/18)

∴ x = 18

The time it would take Lara to clean the tank if she worked by herself, x = 18 hours