A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

Answers

Answer 1

Answer: let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
4x + 3y = 37

x = 10 - y
4x + 3y = 37
4(10-y) + 3y = 37
40 - 4y + 3y = 37
-y = 37 - 40
-y = -3
y = -3/-1
y = 3

x = 10 - y
x = 10 - 3
x = 7

x = 7 ; y = 3

4x + 3y = 37
4(7) + 3(3) = 37
28 + 9 = 37
37 = 37

Answer 2

Answer:

Answer:

D. 4r + 3(10 - r) = 37

Step-by-step explanation:

worked on edge 2022

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A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle.

Answers

Answer:

$1.998\n$

Step-by-step explanation:

Given

Width of the rectangle $= 2^{(1)/(5) } \n$

Length of the rectangle $= 16^{(1)/(5) } \n$

The area of rectangle

$= Length * width\n$

= $2^{(1)/(5) } * 16^{(1)/(5) } \n= 1.148 * 1.741\n 1.998\n$

Hello,

It 's difficult to translate that in french.

l=16 ^(1/5)
w=2^(1/5)
Area=32^(1/5)=(2^5)^(1/5)=2 (in²)

What is 24/40 in simplest form??

Answers

it is 3/5 because 40 divided by 8 is 5, and 24 divided by 8 is 3

Final answer:

The fraction 24/40 can be simplified to 3/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 8.

Explanation:

To simplify the fraction 24/40, you have to find the greatest common divisor (GCD), also called the greatest common factor, for 24 and 40. The GCD refers to the largest integer that divides two numbers without leaving a remainder. In this case, the GCD for 24 and 40 is 8.

Now, divide both the numerator and the denominator of the fraction 24/40 by the GCD. This gives us:
24 ÷ 8 / 40 ÷ 8 = 3/5

So, the fraction 24/40 in simplest form is 3/5.

Learn more about Simplifying Fractions here:

brainly.com/question/26436699

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A star has a diameter of 4,680,000,000 units. Express this number in scientific notation.

Answers

Answer:

$4.68*10^9$

Step-by-step explanation:

Scientific notation is defined as a way of writing very large or very small numbers.

A number between 1 to 10 is written in scientific notation when it is multiplied by a power of 10.

Here the given scenario is :

A star has a diameter of 4,680,000,000 units.

So, in scientific notation we can write this as :

$4.68*10^9$

We can check this if we multiply this by 10^9. This will shift the decimal to 9 places in the right side.

the answer should be 4.68x10^9.

A direct variation function contains the points (–8, –6) and (12, 9). Which equation represents the function?

Answers

Answer:

Step-by-step explanation:

The direct variation is defined as

where, k is constant of proportionality.

It is given that a direct variation function contains the points (-8,-6) and (12, 9).

Substitute x=-8 and y=-6 in the above equation.

Divide both sides by -8.

The value of constant of proportionality is . So, the required equation is

At x=12,

It means, the line passing through (12,9). Hence, the equation is correct.

Therefore, the equation of the function is .

Answer:

Step-by-step explanation:

I can't figure this equation out, help!!!!!!!!!!!!!!!!!!!!!!!***The answer is 1 and -0.5, but I just can't figure out how to work it out.***

Answers

$(4)/(2x-1)-(2)/(x)=2;\ D:2x-1\neq0\ \wedge\ x\neq0\Rightarrow x\neq(1)/(2)\ \wedge\ x\neq0\n\n(4)/(2x-1)=2+(2)/(x)\n\n(4)/(2x-1)=(2x)/(x)+(2)/(x)\n\n(4)/(2x-1)=(2x+2)/(x)\n\ncross\ multiply\n\n(2x-1)(2x+2)=4x\n4x^2+4x-2x-2-4x=0\n4x^2-2x-2=0\n4x^2-4x+2x-2=0$

$4x(x-1)+2(x-1)=0\n(x-1)(4x+2)=0\iff x-1=0\ \vee\ 4x+2=0\nx=1\in D\ \vee\ x=-(1)/(2)\in D\n\nSolutions:x=-(1)/(2)\ or\ x=1.$

Marny can type 20 words in 1/3 of an hour. How many words can she type per hour? *

Answers

Answer:

60 words

Step-by-step explanation:

20*/X3=60

Answer:

60 words

1/3 of an hour is 20 minutes

20 words every 20 minutes is 1 word per minute, 60 minutes is 60 words.

20 = 1/3 (hour)

60= 1 (hour)

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