Answer:
(−2)×5<(−20)
Step-by-step explanation:
Evaluating the options given :
(−2)×5<(−20)
Open the bracket
- 10 < - 20 (false) ` This expression isn't true
(−2)×(−5)>(−25)
Open the bracket
10 > - 25 (true)
2×5>(−25)
Open the bracket
10 > - 25 (true)
2×(−5)<20
Open the bracket
- 10 < 20
the first two are correct, but the answer for c should be 125
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer:
1
pages
Step-by-step explanation:
Since the concert promoter started with 2
pages of ads but had to cancel 1
, subtracting the cancelled amount from the original amount will give the amount of advertising space the promoter is now actually using:
2
= 2 
- <u>1
</u> - <u>1
</u>
1
pages
In order to subtract fractions, you need to have like denominators, so you need to convert
into an equivalent fraction with a denominator of '8'. Since 4 x 2 = 8, then you also need to multiply the numerator by the same factor: 3 x 2 = 6.
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.