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Art [367]
2 years ago
11

Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how long will it take her to pick 486 berries?

Mathematics
2 answers:
lutik1710 [3]2 years ago
7 0
\begin{array}{ccc}135\ berries&-&15\ min\\\\486\ berries&-&\ x\ min\end{array}\ cross\ multiply\\\\\\135x=15\times485\\\\135x=7275\ \ \ \ \ |divide\ both\ sides\ by\ 135\\\\x=\frac{7275}{135}\\\\x=\frac{485}{9}\\\\x=53\frac{8}{9}\ (min)\approx54\ (min)
nikklg [1K]2 years ago
4 0
We can use proportion to solve it
135 berries -------------15min
486 berrier --------------x
Our x is equal to =x= \frac{486*15}{135} =54min
Its our result
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Piper claims that 3(2a + 2) is equivalent to 5a + 6. She checks her claim by substituting -3 for a. Is Piper's claim correct? Wh
Paha777 [63]

Answer:

Piper's claim is not correct.

Step-by-step explanation:

3(2(-3)+2) = 5(-3)+6

3(-6+2) = -15 + 16

-18 + 6 = 1

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6 0
3 years ago
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
Barry is thinking of a number.
Virty [35]

Answer:

10 and 30

Step-by-step explanation:

Let's focus on the first 2 parts of the hints :  

The number must be even and a factor of 30 :

Let's write out the factors of 30 :

1 , 2 , 3 , 5 , 6 , 10 , 15 , 30

Now let's pick out the even ones :

2 , 6 , 10 , 30

Now let's take out the multiples of 5 :

10 and 30

These are the answers

Hope this helped and have a good day  

7 0
1 year ago
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Answer:

the equation of the line is y=6x+1

hope you have a great day! hope this helped :D

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3 years ago
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arsen [322]

Answer:

True

Step-by-step explanation:

Cells must make proteins to make vesicles move and operate.

5 0
2 years ago
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