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scoundrel [369]
4 years ago
6

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon's age and j + 3 represents Laura's ag

e, what value of j
could be Jon's age?
Mathematics
1 answer:
Serga [27]4 years ago
8 0

Answer:

35

Step-by-step explanation:

j(j + 3) = 1330

Trial and error method:

j and j + 3 are pretty close to each other. Start by taking the square root of 1330.

sqrt(1330) = 36.5. One number is less than 36.5 and the other number if 3 more than that.

Since the product of j and j + 3 is 1330 which ends in 0, it is a multiply of 10 and 5.

Try 35 and 38. 35 * 38 = 1330

Answer: 35

Equation method:

j(j + 3) = 1330

j^2 + 3j - 1330 = 0

(j + 38)(j - 35) = 0

j = -38 or j = 35

Answer: 35

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3. Write the standard equation of the circle with the given center that passes through the given
bearhunter [10]

Answer:

D is  correct.

Step-by-step explanation:

(x + 2)^2 + (y - 6)^2 = r^2

(-2+2)^2 + (10 - 6)^2 = r^2

r^2= (10 - 6)^2

r^2=16

5 0
3 years ago
An event is three times as likely as its complement. What is the probability of the event?
serg [7]
E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1

We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"

So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4

The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)

Answer: 3/4

note: in decimal form, 3/4 = 0.75
5 0
3 years ago
Simplify the expression (x12)3
Grace [21]
I think its just 36x
3 0
4 years ago
Which is 35/42 closest to? 0, 1/2, 1
Kobotan [32]
                                                              HOI!!!


it would be 1/2 because 42 divided by 35 

hope this helps

:)  :) :)
5 0
4 years ago
5 trays with 90 ice cubes
myrzilka [38]

Answer:

450

Step-by-step explanation:

90 ice cubes time 5 trays equals a total of 450 ice cubes

4 0
3 years ago
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