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2 years ago

A consistent, dependent system of equations is a system with __________. (1 point)

Mathematics

1 answer:

Lesechka [4]2 years ago

6 0

Answer: hope this helps

Step-by-step explanation: intersecting lines that have the same slope and the same y-intercept

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

2 years ago

A student wishes to compare the cost of textbooks from two sellers. The same forty textbooks are priced at both seller A and sel

MrRissso [65]

Would it like.. not be C?? Im guessing its C (:

6 0

2 years ago

Last week kellie ran 28 miles. This week she ran 32 miles. What is the perecent of change in the number she ran?

Oksana_A [137]

Answer:

60%

Step-by-step explanation:

first do 28+32.

Next it equals 60. So change 60 to percentage form. It would be 60%

7 0

2 years ago

Read 2 more answers

Find the missing angle.

Colt1911 [192]

128 pls tell me if I’m wrong

6 0

2 years ago

Dayren is driving ti visit family. She drives at an average of 65 miles per hour. She drives 227.5 miles before lunch and then 9

lianna [129]

Answer:

5 hours

Step-by-step explanation:

227.5+97.5=325

325/65=5

3 0

2 years ago