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3 years ago

Evaluate the expression using the distributive property (2 1/4) x (-8)

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

So you first have to change the first part into an improper fractions

So (9/4)*-8 Then you expand and you get (9*-8)/4

Then you get -72/4

The answer is -18

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family

lianna [129]

There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0

3 years ago

Holly and 2 her best friends went to dinner. Their total bill was $32.20. They use a coupon for 15% off the total. If they split

V125BC [204]

Answer:

$9.12 each

Step-by-step explanation:

15 percent of 32.20 = 4.83. 32.20 - 4.83 = 27.37.

27.37/3 friends = about $9.12 each

7 0

3 years ago

Jacob went camping with his family. At 7:15 A.M., Jacob set out to go fishing. It took 1 hour and 45 minutes to hike to the lake

GREYUIT [131]

Answer:

7:15 A.M.
1 hour and 45 min = 105 min
3 hour 45 min= 225 min
1 hour and 15 min = 105 min
105(2)+ 225= 435 min= 7 hours and 25 min.
Add that to the original total you get 14:40 P.M

7 0

3 years ago

A tablet is on sale for 30% off. the regular price is $185. how much money will you save?

Burka [1]

Answer:

185×30÷100=55.5

HERES YOUR answer

8 0

3 years ago

they hold an anual pass that cost $40.00. each canoe rental costs $26.00 and each bicycle rental cost $15.00. use an algebraic e

postnew [5]

Answer:

Cost = 40.00 + 26.00c + 15.00b

Step-by-step explanation:

Let c = number of canoe rentals

and b = number of bicycle rentals. Then

Annual pass = 40.00

Canoe rentals = 26.00c

Bicycle rentals = 15.00b

Total cost = 40.00 + 26.00c + 15.00b

6 0

3 years ago