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2 years ago

8

What is the reciprocal of 3/5

2 answers:

Sunny_sXe [5.5K]2 years ago

8 0

The reciprocal is basically the number flipped. It would be 5/3 or 1 2/3.

zzz [600]2 years ago

6 0

The reciprocal of a fraction simply means the opposite. So the reciprocal of 3/5 would be 5/3.

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Some help please? 20 points !!

drek231 [11]

Answer:

72m^3

Step-by-step explanation:

l x w x h

l = 2

w = 9

h = 4

2 x 9 x 4 = 72

4 0

2 years ago

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Determine the value of a 10 year old car that costs $24,500 new and depreciates by 9% every year

son4ous [18]

First, we need to know how much the car depreciates each year. Multiply the price of the car by the percentage.

We can turn 9% into a decimal by moving the decimal point two places to the right.

9% = .09

24500 * .09 = 2205

Multiply the product by the amount of years you want to predict the price at.

2205 * 10 = 22050

Subtract that from the original price of the car.

24500 - 22050 = 2450

The value of a 10 year old car that costs $24500 and depreciates 9% every year will cost $2450.

7 0

2 years ago

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Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

3 0

2 years ago

From your home, the route to the store that passes the beach is 2 miles shorter than the route to the store that passes the park

densk [106]

Then, distance of route passes the beach = x

Let the distance of route that passes the park = x+2

So, their sum would be: x+x+2 = 2x+2

So, option C Is your answer.......

8 0

2 years ago

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For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

lorasvet [3.4K]

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

$f(x)=4^{x-1}+2$

The average rate of change of a function over an interval $(x_1,x_2)$ is given by

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

where

$f(x_1),f(x_2)$ are the values of the function calculated in $x_1,x_2$ respectively

For the function in this problem we have:

$x_1=1$ , so

$f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3$

$x_2=2$ , so

$f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6$

So, the average rate of change is

$r=\frac{6-3}{2-1}=\frac{3}{1}=3$

Learn more about rate of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

4 0

2 years ago