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scoray [572]
3 years ago
10

Lou says to his granddaughter Audrey, "Even if you tripled your age and added 9, you still wouldn't be as old as I am.” Lou is 6

0 years old. Write and solve an inequality to determine the possible ages Audrey could be.
​
Mathematics
1 answer:
luda_lava [24]3 years ago
8 0

Answer:

3x+9 < 60 where x = Audrey's age

Step-by-step explanation:

Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.

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Half of a set of the parts are manufactured by machine A and half by machine B. Ten percent of all the parts are defective. Six
baherus [9]

Answer:

The probability that a part was manufactured on machine A is 0.3

Step-by-step explanation:

Consider the provided information.

It is given that Half of a set of parts are manufactured by machine A and half by machine B.  

P(A)=0.5

Let d represents the probability that part is defective.

Ten percent of all the parts are defective.

P(d) = 0.10

Six percent of the parts manufactured on machine A are defective.

P(d|A)=0.06

Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective :

P(A|d) =\frac{P(A \cap d)}{P(d)}

P(A|d) =\frac{P(d|A)\times P(A)}{P(d)}\\P(A|d)= \frac{0.06\times 0.5}{0.10}

P(A|d)= 0.3

Hence, the probability that a part was manufactured on machine A is 0.3

8 0
3 years ago
The ball park is selling a hamburger combo. At the end of the day, they collected $103.95. If a total of 21 hamburger combos wer
Evgesh-ka [11]

Answer:

Each combo costed $4.95

Step-by-step explanation:

To solve, simply divide 103.95 by 21, and then put a dollar sign. (Most teachers would count no dollar sign as incorrect/points off, so don't forget it!)

103.95 ÷ 21 = 4.95 → $4.95

<em>Hope this helps!</em>

5 0
3 years ago
If a 30% discount is put on an item, and the sale price is $206.50, then what was the original price?
s2008m [1.1K]

Answer:

295

Step-by-step explanation:

.3 x 295 = 88.5

295 - 88.5 = 206.5

8 0
4 years ago
0.15, 0.17, 0.19.<br><br> what is going up by ?
Tpy6a [65]

Answer:

It goes up by 2 each time

Step-by-step explanation:

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lyudmila [28]

9514 1404 393

Answer:

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Step-by-step explanation:

4 × (1 3/4) = 4×1 + 4×3/4 = 4 + 3 = 7

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7 0
3 years ago
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