15$ is what percent of 240$

Write (-2,5) and (0,8) linear equation in slope intercept form

maxonik [38]

Answer: y= 3/2x+8

Step-by-step explanation:

5 0

2 years ago

Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and

B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

(x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

A B = $\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }$

A B = $\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }$

AB = $\sqrt{(9)^{2} +(-9+9)^{2} }$

AB = √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

3 0

2 years ago

For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. About how many times do the wheels turn in 5 miles

Mars2501 [29]

Answer: The wheels turn about 3771 times in 5 miles.

Step-by-step explanation:

Given, Kelly rides on her bicycle such that the number of times wheels turn for every 140 feet = 20

Turns for every feet = $\dfrac{20}{140}=\dfrac{1}{7}$ ...(i)

To find : Number of times wheels turn in 5 miles.

Since , 1 mile = 5,280 feet

Then, 5 miles = 5 x (5,280 feet) = 26,400 feet

Now , Number of times the wheels turn in 26,400 feet = 26400 x (Turns for every feet)

$26400\times\dfrac{1}{7}=3771.42857143\approx3771$ [From (i)

Hence, the wheels turn about 3771 times in 5 miles.

5 0

3 years ago

A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire

Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B ft

Now, AREA of the given park = L x B

⇒ L x B = 3,600 sq ft ... (1)

Also, the perimeter of three sides = 180 ft

⇒ 2 L + B = 180 ..... (2)

Now, from (1) and (2), we get:

L x B = 3,600

2 L + B = 180 ⇒ B = 180 - 2 L

Substitute this in(1) , we get:

L x B = 3,600 ⇒ L x (180 - 2 L) = 3600

$\implies 180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0$

⇒ L = 30 or L = 60

So, if L = 30 ft , then B = 180 - 2L = 180 - 60 = 120 ft

So, if L = 60 ft , then B = 180 - 2L = 180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the length of the field is 60 ft, then width is 60 ft.

4 0

3 years ago

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

sdas [7]

Answer: $8.76\%$

Step-by-step explanation:

The formula to find the final amount after getting simple interest :

$A=P(1+rt)$ , where P is the principal amount , r is rate of interest ( in decimal )and t is time(years).

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 and t= 5 years

He has just withdrawn $2,876.

i.e. we assume that A = $2876

Now, Put all the values in the formula , we get

$(2876)=(2000)(1+r(5))\\\\\Rightarrow\ 1+5r=\dfrac{2876}{2000}\\\\\Rightarrow\ 1+5r=1.438\\\\\Righhtarrow\ 5r=0.438\\\\\Rightarrow\ r=\dfrac{0.438}{5}=0.0876$

In percent, $r=0.0876\times100=8.76\%$

hence, He earned $8.76\%$ of interest on account.

6 0

3 years ago

15$ is what percent of 240$​

15$ is what percent of 240$