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Galina-37 [17]
3 years ago
14

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Mathematics
1 answer:
Semenov [28]3 years ago
6 0
The two numbers are 9 and 12.
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aivan3 [116]

Answer:

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7 0
2 years ago
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What is 4.58 when approximated to the nearest hundredth
Ann [662]

Answer:

The answer would be 4.6

Step-by-step explanation:

4.58

8 is closest to 10 so round the 5 to 6.

6 0
3 years ago
Read 2 more answers
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
2 years ago
TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these
Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

first we get here total no of probability that is

n(s) = 15 C 9

n(s) = \frac{15!}{9!(15-9)!}  

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = \frac{9!}{3!(9-3)!}  

n(3) =  84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = \frac{6!}{4!(6-4)!}  

n(4) = 15

so

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15  = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = \frac{1260}{5005}  

probability = 0.2517

6 0
3 years ago
Elapsed time in minutes<br> Start time 3:10pm <br> end time 4;00pm
gizmo_the_mogwai [7]
50 minutes has elapsed.  
6 0
3 years ago
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