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astra-53 [7]
3 years ago
7

For what values of x does the value of the fraction (3-x)/8 belong to the interval (−2; 5]?

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

-37\leq x\:

Step-by-step explanation:

To find the values of x for which, the value of \frac{3-x}{8} belongs to (-2,5],we solve the inequality;

-2\:

We multiply through by 8 to obtain;

-16\:

We subtract 3 to get

-19\:

Divide through by -1 to obtain;

19\:>x\ge-37

Or

-37\leq x\:

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Alex saved x dollars.
steposvetlana [31]
Answer:
Ethan = 1.(3x)

Step-by-step explanation:
Let's split "Ethan saved 1/3 more than that"
That = x
So, Ethan saved 1/3 more than x
Meaning that Ethan = x + 1/3x
Combine like terms
Ethan = 1 1/3x
which equals to
Ethan = 1.(3x)

Hope this helps :)
Have a great day


4 0
3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Peter earned $180 working at a store during the summer months. He bought 4 books worth $12 each from his earnings at the store.
irina1246 [14]

180 - (4 x 12) = 180 - 48 = 132


$132 left.

3 0
3 years ago
Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles,
umka21 [38]

Answer:

They rode 14 miles before replacing each horse

Step-by-step explanation:

We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.

From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.

Distance each horse rode = 182/ 13 = 14 miles.

Therefore, each horse was ridden for 14 miles before it was changed.

5 0
3 years ago
How do i write 5,972,000,000,000,000,000,000,000kg in Scientific Notation
never [62]
In order to write this in scientific notation, we must move the decimal from the beginning all the way to between the 5 and the 9
Note: you can move the decimal anywhere you want but typically scientific notation will have the decimal in between the first and second digit.

Since we move the decimal 24 digits to the right, our answer will be

5.972 * 10^24
or
5.972E24

Hope this helps!!
8 0
3 years ago
Read 2 more answers
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