some come in clutch and do this for me

Answer:

Step-by-step explanation:

10)a) Let the number = x

4x + 8 = 16

Subtract 8 form both sides

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides by 4

4x/4 = 8/4

x = 2

The number is 2

b) Let the number = x

4x - 8 = 6

Add 8 to both sides

4x - 8 + 8 = 6 + 8

4x = 14

Divide both sides by 4

4x/4 = 14/4

x = 3.5

The number is 3.5

11) a) Increase in cost = 105 - 100 = $ 5

b) Percentage increase = [tex]\frac{5}{100}*100[/tex]

                                       = 5%

12)  Number of girls = 35

Number of girls wearing glasses  = 15

Number of boys = 40

Number of boys wearing glasses  = 10

a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]

                                                                 = 25%

b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]

                                                                 = 42.86%

c) Total children = 35 +40 = 75

Total children wearing glasses = 15 + 10 = 25

Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]

                                                                        = 33.33%

Answer:

it's option d you were right

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:

Step-by-step explanation:

even #s between (or including) 1 and 12:

2, 4, 6, 8, 10, 12

there are 6

6/12 for the first one

5/11 for the second one (one even # less)

4/10 for the third one

To find the probability of picking three even numbers from 1 to 12 in a row three times:

multiply the probabilities together:

(6/12)*(5/11)*(4/10)=(24/120)*(5/11)=(12/60)*(5/11)=(1/5)*(5/11)=5/55=1/11

Answer:

50 years

Step-by-step explanation:

the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.

brainliest pls

Answer:  x=3

Step-by-step explanation:

5x+9 =24   subtract 9 from both sides

    -9    -9

5x = 15    Divide both sides by 5

x = 3

Answer:

[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

Answer:

Step-by-step explanation:

   45=5*3^2

    75=5^2*3

1.  LCM=product of the common and uncommon prime factors  at the biggest   power

LCM=3^2*5^2=9*25=225

2. HCF= product of the common prime factors at the lowest power

HCF=3*5=15

3. 10*x-3

4. 6^2-7^2=36-49=-13

5. I. K=4-1=3 drinks

    II. Total=4+3=7 drinks

6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm

Answer:

Step-by-step explanation:

LCM of two numbers is the smallest number that is evenly divisible by the two numbers

1) 45 = 3 * 3 * 5 = 3² * 5

75 =  3 * 5 * 5  = 3 * 5²

LCM = 3² * 5² = 9 *25 = 225

LCM = 225

2) HCF of two numbers is the greatest number which divides each of them exactly.

HCF of 45 and 75  = 3*5 = 15

HCF = 15

3) 10x  - 3

4) m² - n² = 6² - 7²

               = 36 - 49

               = -13

m² - n² = -13

When two numbers are in different sign, subtract and the result will have the sign of the bigger number.

5)a)  Kate prepared  (4-1) 3 drinks

  b) Total volume of drinks = 4 + 3 = 7

Answer:

Step-by-step explanation:

The deductible amount will be controlled constantly in which the asset is arranged.

Answer:

[tex]-12-10i[/tex]   is the required answer.

Step-by-step explanation:

[tex]\left(-9-8i\right)-\left(3+2i\right)\\\\\mathrm{Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number}\\\\=\left(-9-3\right)+\left(-8-2\right)i\\\\=-12-10i[/tex]

Best Regards!

Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

V = 960 cm ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base

B = 1/2 bh since the base is the triangle

B = 1/2 *12*8 =48

V = 48 * 20

V = 960 cm ^3

Answer:

960 cm^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

This is a triangular prism, so the base is a triangle.

area of base of prism = area of triangle = bh/2

The base of the triangle is 12 cm. The height of the triangle is 8 cm.

The height of the prism is 20 cm.

volume = (12 cm)(8 cm)/2 * 20 cm

volume = 960 cm^3

Answer:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

Step-by-step explanation:

According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same

. (as in the diagram)

So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

With the help of a diagram, we can better understand which has been attached.

The ratios  AD : DB  and  AE : EC  are equal.

Answer:

Complete Question :

In golf, a score below zero is “under par” and a score above zero is “over par.”

Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?

A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.

C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.

D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.

Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.

Step-by-step explanation:

Given that :

a score below zero is “under par” and a score above zero is “over par.”

Same score on each of the first 14 holes

Total score on first 14 holes = - 42

Therefore, score on each hole = ( total score / number of holes)

= - 42/14 = - 3

Negative signifies that it is 'under par'

Score on each of the next four holes is also the same.

Therefore, total score on next four holes :

(final score - total score on first 14 holes)

(-34 - (-42))

(-34 + 42) = 8

Total score on next four holes = 8

Score on each hole = 8/4 = 2

Positive score means he scored over par

Answer:

a

Step-by-step explanation:

I did quiz

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

Answer:

False

Step-by-step explanation:

A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.

Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

a. distance around the circle

Answer:

[tex]\large \boxed{\sf \ \ \pi r^2 \ \ }[/tex]

Step-by-step explanation:

Hello,

We will follow the instructions and then we need first to find the area of any regular n-gon.

I attached one graph so that it is easier to understand.

The n-gon can be divided in n similar isosceles triangles.

So we can find the area of one of these triangles and then multiply by n to get the total area, right?

Let's focus on the triangle OAB then. OA = OB = r, right?

The area of this triangle is the (altitude * AB ) / 2

The angle AOB is [tex]\dfrac{2\pi}{n}[/tex] by construction of the regular n-gon.

So half this angle is [tex]\dfrac{\pi}{n}[/tex] and we can use cosine rule to come up with the altitude:

   [tex]\boxed{ altitude = r\cdot cos(\dfrac{\pi}{n}) }[/tex]

Using the sine rule we can write that

   [tex]\boxed{ AB=2r\cdot sin{\dfrac{\pi}{n}} }[/tex]

So, the area of the triangle is

   [tex]\dfrac{1}{2}\cdot r\cdot cos(\dfrac{\pi}{n}) } \cdot 2r\cdot sin(\dfrac{\pi}{n})\\\\=r^2\cdot cos(\dfrac{\pi}{n})\cdot sin(\dfrac{\pi}{n})[/tex]

Ok, but wait, we know how to simplify. We can use that

[tex]sin(2\theta)=2cos(\theta)sin(\theta)[/tex]

So it gives that the area of one triangle is:

   [tex]\dfrac{1}{2}r^2sin(\frac{2\pi}{n})[/tex]

Last step, we need to multiply by n.

[tex]\large \boxed{\sf \ \ A(n)=\dfrac{1}{2}nr^2sin(\dfrac{2\pi}{n}) \ \ }[/tex]

Now, let's use a result from Calculus:

[tex]\displaystyle \lim_{x\rightarrow0} \dfrac{sin(x)}{x}=1[/tex]

How to use it here? Just notice that

[tex]\displaystyle \lim_{n\rightarrow +\infty} \dfrac{sin(\dfrac{2\pi}{n})}{\dfrac{2\pi}{n}}=1\\\\\lim_{n\rightarrow +\infty} \dfrac{n}{2\pi}sin(\dfrac{2\pi}{n})=1\\\\\lim_{n\rightarrow +\infty} nsin(\dfrac{2\pi}{n})=2\pi[/tex]

So, finally

[tex]\Large \boxed{\sf \lim_{n\rightarrow +\infty} A(n)=\dfrac{1}{2}r^22\pi=\pi r^2 }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

This is an arithmetic sequence with a common difference d of -9

Step-by-step explanation:

When you find out d, you realize the difference between the numbers to be -9. Since it is d and not common ratio r, it is an arithmetic sequence.

Answer:

Step-by-step explanation:

2^{60}=8^x

2^{60}=(2^3)^x

2^{60}=2^{3x}

60=3x

x=20

Answer:

8^20 would be the answer

Step-by-step explanation:

It's not cos x^2

[tex]\cos^2x\neq\cos x^2[/tex]

----------------------------------------------

[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]

It's the same as

[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]

Answer:

The answer is option B

Step-by-step explanation:

t^12/t^6

Use the rules of indices.

Since they have the same base and they are dividing we subtract the exponents.

That's

t^12 - 6

= t^6

Hope this helps you

Answer:

Option B is the right option.

Solution,

[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]

Explanation:

To divide expression with same base, we copy the base and subtract the indices.

Hope this helps...

Good luck on your assignment..

Answer:

x = 6 , − 5

Step-by-step explanation:

Move  x   to the left side of the equation by subtracting it from both sides.  x^ 2 − 30 − x = 0

x2-30-x=0

Use the quadratic formula to find the solutions. − b ± √ b 2 − 4 ( a c )/ 2 a  

-b±b2-4(ac)/2a  

Substitute the values  

a = 1  ,  b = − 1  , and  c = − 30  

into the quadratic formula and solve for  x

x . 1 ± √ ( − 1 ) 2 − 4 ⋅ ( 1 ⋅ − 30 )/ 2 ⋅ 1    

Simplify.

x = 1 ± 11/ 2    

The final answer is the combination of both solutions.

x = 6 , − 5

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

Expand the brackets.

x + 3x - 2 = 6

Add like terms.

4x - 2 = 6

Add 2 on both sides.

4x = 6 + 2

4x = 8

Divide 4 into both sides.

x = 8/4

x = 2

Answer:

x=5/4

Step-by-step explanation:

Answer:

A =256 cm^2

Step-by-step explanation:

The perimeter of a square is 64 cm

P = 4s where s is the side length

64 = 4s

Divide by 4

64/4 = 4s/4

16 =s

The side length is 16 cm

The area of a square is

A = s^2

A = 16^2

A =256 cm^2

Answer:

16

Step-by-step explanation:

Perimeter=64

Since there are four sides, we divide 64 by 4

64/4=16

1 side = 4 cm

Area = l x w

4 x 4 = 16

Therefore your area of the square is 16

Hope this helps!

Answer:

56,735 people

Step-by-step explanation:

We can set up an equation to model this:

The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.

We can plug in the corresponding values and solve:

y = 62500(1 - 0.016)^6

y = 62500(0.984)^6

y = (62500)(0.9077)

y = 56,734.94, which we can round to 56,735 people