What is the value for x? Enter your answer in the box.

The sum of two numbers is 64. The difference between the numbers is 14. Write a system

Anastasy [175]

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

8 0

2 years ago

If a car goes 280 miles in 4 hrs how far could it go in 6 hrs and 30 mins

Zina [86]

Answer:

280/4 = 70 miles per hour. Next, take the unit rate and multiply it by the number of hours you are trying to find. In this case, you are trying to find 6 hours and 30 minutes, but this can also be rewritten as 6.5, since 30 minutes is half an hour. So, in 6.5 hours, the car can go 455 miles

7 0

3 years ago

If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee

choli [55]

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

$\frac{-3x}{-3}>\frac{-60}{-3}\\x>20$

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

8 0

3 years ago

There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the s

VARVARA [1.3K]

Answer:

The selections are dependent.

Yes, they can be treated as independent (less than 5% of the population).

Step-by-step explanation:

Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.

Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:

$P=\frac{12,345}{15,958.866}*100\\ P=0.077\%$

Thus the selections can be treated as independent for the purposes of calculations.

3 0

3 years ago

Which expression is equivalent to 5b + 30? A: b+6 B: 5b+6 C: 5(b+6) D: 5(bx6)

Kryger [21]

The correct answer is C because when using distributive property it simplifies back to 5b+30

5 0

3 years ago

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