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elena-s [515]
3 years ago
8

Travis has 6 engineering books to line up on a shelf. kelly has 4 finance books to line up on a shelf. if all the books are diff

erent, in how many more orders can travis line up his books than kelly?
Mathematics
1 answer:
finlep [7]3 years ago
3 0
The number of ways 6 different objects can be arranged in a row is given by 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

The number of ways 4 different objects can be arranged in a row is given by 4! = 4 x 3 x 2 x 1 = 24

Therefore, the number of ways which Travis can order his books more than that of Kelly is given by 720 - 24 = 696. 
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The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
luda_lava [24]
<h3>Answer:  Choice C.   (-1, -5)</h3>

Explanation:

The reflection rule we use is

(x,y) \to (-x, y)

when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.

Therefore, (1, -5) \to (-1, -5)

7 0
3 years ago
Read 2 more answers
Factor each completely. <br><br>10a² - 9a + 2 <br><br>​
Sophie [7]

Answer:

a= \frac{2}{5} or \frac{1}{2}

Step-by-step explanation:

Equate the equation to zero

10a^{2}-9a+2=0

10a^{2}-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= \frac{2}{5}   OR a= \frac{1}{2}

a=\frac{2}{5} or \frac{1}{2}

3 0
3 years ago
Need help on this test question ​
Lilit [14]

Answer:

D

Step-by-step explanation:

sine= opposite/hypotenuse

cosine= adjacent/hypotenuse

6 0
2 years ago
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Aré 24cd and 9cd like terms
Lapatulllka [165]

Answer:

Yes, they are

Step-by-step explanation:

Because they both end with cd, they are like terms. Anything with the same ending letters are like terms.

4 0
2 years ago
In 2005, the Summerville Journal had 110,000 subscriptions. The number of subscriptions subsequently decreased by 8% each year.
barxatty [35]

Answer:

The number of subscription will be 26,655 in 2022.

Step-by-step explanation:

In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.

After 1 year number of subscription is 110,000- 8% of 110,00

                                                              =110,000(1-8%)

After 2 years  number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)

                                                               =110,000(1-8%)(1-8%)

                                                               =110,000(1-8%)²

After 2 years  number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²

                                                               =110,000(1-8%)²(1-8%)

                                                               =110,000(1-8%)³

....

and so on.

After t year the number of subscription is

S(t)=110,000(1-8\%)^t

t= 2022-2005=17 years

\therefore S(t)=110,000(1+0.08)^{17}

          ≈26,655

The number of subscription will be 26,655 in 2022.

6 0
3 years ago
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