On a trip, the fare was 50¢ for each adult and 25¢ for each child. If 30 passengers paid $12.25, how many adults and children went?Is this the right way to set up the equation?
50x + 25(30 - x) = 1225

Answers

Answer 1
Answer: Fare for each adult = 0.50 dollars
Fare for each child = 0.25 dollars
Total number of passengers = 30
Total amount paid for the trip = 30 dollars
Lat us assume the number of adults = x
Then
The number of children = 30 - x
So
0.50x + 0.25(30 - x) = 12.25
50x + 25(30 - x) = 1225
This is the right way of setting up the equation and you have done it correctly. 
Answer 2
Answer:

25x + 50x = 30(1225) is the equation that wouldn't work

Step-by-step explanation:

Given,

Total passenger = 30

There can be only two cases,

Case 1 : Let x be the number of adults,

So, the number of children = 30 - x,

Since, the total fare is $12.25 or 1225¢ ( 1 dollar = 100 cents ) in which 50¢ is for each adult and 25¢ is for each child,

⇒ 50x + 25(30 - x) = 1225,

Case 2 : let x be the number of children,

So, the number of adult = 30 - x,

The equation would be,

⇒ 50(30 - x) + 25x = 1225

Hence, the equations that could not be used to solve the given problem is,

25x + 50x = 30(1225)

Step-by-step explanation:


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Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)]. f[c(p)] = 1.83p f[c(p)] = 1.83cp f[c(p)] = 0.81p f[c(p)] = 0.81cp

On federal income tax returns, self-employed people can depreciate the value of business equipment. Suppose a computer valued at $2765 depreciates at a rate of 30% per year. Estimate the number of years it will take for the computer's value to be less than $350.

Answers

After 6 years and with a depreciation rate of 30%, the computer's book value would be less than $350. 

Create a table of values for the given function.Function: f(x)=−4x+3

x
y
−2
−1
0
1
2

Answers

To create a table of values for the given function f(x) = -4x + 3, we need to substitute the given values of x into the function and calculate the corresponding y values.

Here's the table:

x y

-2 11

-1 7

0 3

1 -1

2 -5

To find the corresponding y values, we plug each x value into the function:

f(-2) = -4(-2) + 3 = 11

f(-1) = -4(-1) + 3 = 7

f(0) = -4(0) + 3 = 3

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

f(2) = -4(2) + 3 = -5

So, the table of values for the function f(x) = -4x + 3 is as follows:

x y

-2 11

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Nuclear fusion within the sun takes place within the_______________________

Answers

The best answer that would complete the sentence above would be within 'its core'. Nuclear fusion within the sun takes place within the very core of its body. The core of the sun is where the nuclear fusion takes place because of the amount of pressure exerted within it.

Answer:

Nuclear fusion within the sun takes place within the 'core'.

Step-by-step explanation:

Consider the provided information.

Nuclear fusion:

Nuclear fusion is a reaction in which, with the release of energy, more than one atomic nucleus fuses into a heavier nucleus.

The light and heat generated by the sun come from the nuclear fusion process, that happens inside the core of the sun. the pressure inside the core of the sun is millions of times more as compared to the surface of the earth.

Thus, the answer for the provided statement is 'Nuclear fusion within the sun takes place within the core.'

A shipping company sells a rectangular box with dimensions of 12inches by 12 inches by 18 inches. Find the length of the longest
diagonal in the box.
24.7.
24.8
O 288
0 612

Answers

Answer:

24.7 inches

Step-by-step explanation:

Length = 18 inches

Width = 12 inches

Height = 12 inches

Length of the longest diagonal,d = length^2 + width^2 + height^2

d^2 = 18^2 + 12^2 + 12^2

d^2 = 324 + 144 + 144

d^2 = 612

d = √612

= 24.7 of inches

Length of the longest diagonal in the box = 24.7 inches

Final answer:

The length of the longest diagonal in a box with dimensions 12 inches by 12 inches by 18 inches, calculated using the three-dimensional Pythagorean theorem, is approximately 24.7 inches.

Explanation:

The longest diagonal of a rectangular box can be found using the Pythagorean theorem, but in three dimensions. This length is also known as the space diagonal of the box. Specifically, if you have a box with length (l), width (w) and height (h), the equation for the space diagonal (d) is d = √(l2 + w2 + h2).

Substituting the given dimensions into the equation: d = √[(12)2 + (12)2 + (18)2] = √(144 +144 + 324) = √(612) which is approximately 24.7 inches long.

Learn more about Space Diagonal Length here:

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Answers

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Clayton drove at a constant rate on the highway for a trip to the beach. He did not make any stops along the way. The distance Clayton had driven at any given time describes a linear function. At 3:00 p.m., he had driven 90 miles. At 4:30 p.m., he had driven 180 miles. Which statement about Clayton’s trip is true?1.Clayton started driving at 1:30 p.m., and he drove 60 miles per hour.


2.Clayton started driving at 3:00 p.m., and he drove 60 miles per hour.



3.Clayton started driving at 1:30 p.m., and he drove 90 miles per hour.


4.Clayton started driving at 4:30 p.m., and he drove 90 miles per hour.

Answers

The answer is the first 1 !!

Here is how we see if it is true!

If Clayton drives 60 miles per hour, that means, that after one hour has passed, they should have traveled 60 miles!

If we look at the number of hours that have passed between 1:30 and 4:30, it is 3 hours.

If someone travels 60 miles every hour that has passed, and they traveled for 3 hours. To find how far they have traveled we just need to multiply 60 miles by 3 hours!

Let's solve that!

60 × 3 = 180 miles!

Clayton started driving at 1:30 pm and went 60 miles per hour.