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3 years ago

Suppose 3x+4y=52 and 5x+y= 30. What is the value of 8x-2y

Mathematics

1 answer:

grandymaker [24]3 years ago

6 0

Answer:

Step-by-step explanation: If you made x, 4 and y, 5 then all equations would make sense if you change the letters to numbers.

(3*4)+(4*10)=52

and

(5*4)+10=30

then

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Please help!! Question is in the picture!!

Debora [2.8K]

$\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

Solution:

Total number of times spun the spinner = 60

Number of times getting 1 = 12

Number of times getting 2 = 17

Number of times getting 3 = 15

Number of times getting 4 = 16

Experimental probabilities from the table:

Probability of getting 1 = $\frac{12}{60}=\frac{1}{5}$

Probability of getting 2 = $\frac{17}{60}$

Probability of getting 3 = $\frac{15}{60}=\frac{1}{4}$

Probability of getting 4 = $\frac{16}{60}=\frac{4}{15}$

To determine which are the experimental probabilities from the table:

Option A: 15

This is not obtained above. So, it is not the experimental probability.

Option B: $\frac{17}{60}$

This is obtained in the probability of getting 2.

So, it is the experimental probability.

Option C: $\frac{1}{4}$

This is obtained in the probability of getting 3.

So, it is the experimental probability.

Option D: $\frac{7}{15}$

This is not obtained above. So, it is not the experimental probability.

Option E: $\frac{12}{43}$

This is not obtained above. So, it is not the experimental probability.

Hence $\frac{17}{60}$ and $\frac{1}{4}$ are the experimental probabilities from the table.

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3 years ago

What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?

ElenaW [278]

First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)

nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165

This will be used in the formula below

Sn = n*(a1+an)/2
Sn = n*(151+(-14n+165))/2
S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
S26 = -624

The final answer here is choice C) -624

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3 years ago

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Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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