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alexdok [17]
3 years ago
8

In a card game, you gave 3 cards. These 3 cards add up to positive 6 and multiply to be negative 64. What are the 3 cards in you

r hand?
Mathematics
2 answers:
Dafna11 [192]3 years ago
7 0
The values of the cards are +8,+2, and -4.

8+2-4=6

8 x 2 x -4 = -64
Agata [3.3K]3 years ago
6 0
The values of the cards are +8,+2, and -4.. Hope it help!
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Due to a packaging error, 4 cans labeled diet soda were accidentally filled with regular soda and placed in a 12 pack carton of
Sophie [7]

Answer:

Probability that both cans were regular soda =  \frac{1}{11}

Step-by-step explanation:

Probability = \frac{Desired outcome}{Total possible outcomes}

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

Total possible outcomes are, n(total) = 12

Desired outcome: 4 (cans of regular soda)

P(1st can) =  \frac{4}{12} = \frac{1}{3}

Probability that 2nd can is a regular soda:

<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>

Total possible outcomes are, n(total) = 11

Desired outcome: 3 (cans of regular soda as one has already been taken)

P(2nd can) =  \frac{3}{11}


Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

             = \frac{1}{3} * \frac{3}{11}

             = \frac{1}{11}

3 0
4 years ago
Read 2 more answers
Samuel is a teacher and takes home 75 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many pa
Alina [70]

Answer: 19

Step-by-step explanation:

75 papers need to be marked

He grades 7 papers per hour

To find out how many paper he graded in 8 hours:

7 x 8

(7 is the number of papers graded in an hour)

(8 is the number of hours)

7 x 8 = 56

(56 is the number of papers he graded in 8 hours)

Now, there was a total of 75.

To find the remaining number of test sheets:

75 - 56

(75 is the total number of papers)

(56 is the number of papers graded)

75 - 56 = 19

Therefore, there are 19 papers remaining to grade.

7 0
3 years ago
Could you take sometime to help me on this please?
mariarad [96]

ANSWER = -1

hi, take x = -1

-1\leq -1 \ so \ x\leq -1 \\ \\\text{ BUT } x^3=-1 < -1 \text{ is wrong}

Thanks

8 0
3 years ago
Read 2 more answers
How to workout and the answer for -27x^3(-x^7) ÷16x^4
Helen [10]

Answer:27x^6 /16

Step-by-step explanation:27x^3 x x^7 divided by 16x^4

then simplify the expression which will be 27x^3 x x^3 divided by 16

then calculate the product which is x^3 x x^3 which is x^6 so your answer is  27x^6/16.

4 0
3 years ago
Find the exact value of the trigonometric expression given that sin(u) = -(3/5),
GuDViN [60]

Recall that

\cot(u+v)=\dfrac{\cos(u+v)}{\sin(u+v)}=\dfrac{\cos u\cos v-\sin u\sin v}{\sin u\cos v+\cos u\sin v}=\dfrac{\cot u\cot v-1}{\cot v+\cot u}

Also, recall that for all \theta,

\cos^2\theta+\sin^2\theta=1

With \frac{3\pi}2, we can expect \cos u>0, and with 0, \sin v>0. So from the above identity it follows that

\cos u=\sqrt{1-\sin^2u}=\dfrac45\implies\cot u=\dfrac{\cos u}{\sin u}=-\dfrac43

and

\sin v=\sqrt{1-\cos^2v}=\dfrac8{17}\implies\cot v=\dfrac{\cos v}{\sin v}=\dfrac{15}8

and so

\cot(u+v)=\dfrac{-\frac43\frac{15}8-1}{\frac{15}8-\frac43}=\boxed{-\dfrac{84}{13}}

6 0
3 years ago
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