MATHEMATICS COLLEGE

Two cars simultaneously left Points A and B and headed towards each other, and met after 2 hours and 45 minutes. The distance between points A and B is 264 miles. What is the speeds of the cars, if one of the cars travels 14 mph faster than the other?

Answers

Answer 1
Answer: Hello!

The answer is:

Why?

To calculate the speed of the cars, we need to write two equations in order to create a relation between the two speeds and be able to isolate one in function of the other.

So, let be the first car speed "x" and the second car speed "y", writing the equations we have:

For the first car:

For the second car:

We know that the speed of the second car is the speed of the first car plus 14 mph, so:

Now, we already know that both cars met after 2 hours and 45 minutes, meaning that positions will be the same at that moment, and the distance between A and B is 264 miles,  so, we can calculate the relative speed between them.

If the cars are moving towards each other the relative speed will be:

Then, since from the statement we know that the cars covered a combined distance which is equal to 264 miles of distance in 2 hours + 45 minutes, we have:

Writing the equation, we have:

So, we have that the speed of the first car is equal to 41 mph.

Now, substituting the speed of the first car in the second equation, we have:

Hence, we have that:

Have a nice day!


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HIGH SCHOOL

Find the product. y4 · y6

Answers

Using the property for multiplication of terms with same base and different exponents, it is found that the product is given by:

Product of terms with same base and different exponents

When multiple factors in a product have the same base and different exponents, we keep the base and add the exponents.

In this problem:

  • The base is y.
  • The exponents are 4 and 6.

Hence, the product is:

More can be learned about the property used in this problem at brainly.com/question/234372

HIGH SCHOOL

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces? (–3, –18) (–0.5, –3) (0, 0) (0.5, 3)

Answers

Only 0,0    You don't order negative numbers of books which eliminates the first two pairs.  And you don't order 1/2 a book which eliminates the last pair.

If you order 0 shirts they will weight 0 ounces is the only viable solution.
Yet I consider this a trick question since you don't fill out an order form for 0 books.  Perhaps the answer is none of them??

The ordered pair with a viable solution is (0,0). The correct option is C.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have given :

The Weight of each book = 6 ounces

The Number of books = x

The Total weight of the books = y

Here, x and y must be positive values.

Therefore it could not be a negative value or a fraction or decimal value.

By keeping this point in mind, the ordered pair with a viable solution is (0,0)

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ5

MIDDLE SCHOOL

Nate borrowed $400 to pay for car repairs. If he agreed to repay the loan at a simple annual interest rate of 6%, how much interest will he owe at the end of 2 years? A. $12
B. $24
C. $32
D. $48
Please help me out :)

Answers

Okay so 6% of 400 is 24 and 24 times 2 is 48, so the answer is D
The correct answer would be D
HIGH SCHOOL

Keiko runs 8 miles in 59 minutes. how many miles does she run per minute?

Answers

Answer:

7 Minutes  and 22.5 Seconds Per Mile

Step-by-step explanation:

58/8 = 7.375

Then you have to get the .375 into minutes.

0.375*60 = 22.5


7.4 miles approximately
MIDDLE SCHOOL

Which answer shows a correct slope calculation? (A (3-0)/(0-6)


(B (3-0)/(-6 - 0)


(C (3-0)/(0--6)

Answers

If the lines with those given slopes go trough 2 points then

A) is correct if the points are (6, 0) and (0, 3)

B) is correct if the points are (0, 0) and (-6, 3)

C) is correct if the points are (-6, 0) and (0, 3)

MIDDLE SCHOOL

What is the factorization of x^3-12x^2+35x

Answers

the answer is x(x-5)(x-7)

1. take out the common factor x

2. use quadratic formula

3. solve

HIGH SCHOOL

Rewrite the expression without using grouping symbols. –6(8 + 12)

A.
(–6) • 8 + 12

B.
(–6) • 8 + (–6) • 12

C.
–68 + 612

D.
(–6) + 8 • (–6) + 12

Answers

When we distribute, we multiply the number outside of the parenthesis to every number inside the parenthesis.

So we have:



We use the distribution method that says a(b + c) = a x b a x c, so your answer would be B.
HIGH SCHOOL

What is th result of converting 20 ounces into pounds?

Answers

Hello!

The Correct Answer would be:

"1.25 Pounds"

Why? Well:

1 ounce (oz) is equal to 0.0625 pounds (lb).

1 oz = (1/16) lb = 0.0625 lb

The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:

m(lb) = m(oz) / 16


So as Result, The Answer is 1.25 Pounds.


Hope this Helps! Have A Wonderful Day! :)

16 oz = 1 lb.....so 20 oz = 1 lb 4 oz or 1.25 lbs
MIDDLE SCHOOL

Top Cat Car wash buys liquid soap in 5 gallon buckets. How many liters in one 5 gallon bucket? A)0.1 liters
B)1.3 liters
C)18.9 liters
D)19.0liters​

Answers

Answer:

Answer would be C.

1 Gallon=3.78

3.78x5

= 18.9

Step-by-step explanation:

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