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ycow [4]
3 years ago
5

There are 2 miners in a mine. Miner 1 mines 19,687 m of ore in one hour. Miner 2 mines 19,687 m of ore in 51 minutes. Find out h

ow much ore Miner 2 mines in 1 hour.
Mathematics
1 answer:
patriot [66]3 years ago
8 0
Miner #2 mines 19,687 m (meters ?) of ore in 51 minutes.

That's  (19,687/ 51) m (meters ?) per minute.

There are 60 minutes in one hour.  So if he maintains that same
average rate for a whole hour, he will mine

           (19,687 / 51) x (60)   =   23,161 m (meters) of ore.
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Write an equation in slope-intercept form for the line with slope −2/3 and y-intercept 2.
Damm [24]

Answer:

\huge\boxed{\sf y = -\frac{2}{3}x + 2 }

Step-by-step explanation:

Slope = m = -2/3

y-intercept = b = 2

<u>Slope-intercept equation/form:</u>

y = mx + b

y = -2/3 x + 2

\rule[225]{225}{2}

Hope this helped!

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7 0
2 years ago
Simplify;<br> 26 ⋅ 26^8<br><br> Please also explain how you got the answer.
antoniya [11.8K]

26 ⋅ 26^8

Multiply by adding the exponents:

Raise 26 to the power of 1 to get:

26^1 * 26^8

Now when you multiply the same number raised to different powers, you add the powers together:

26^1 * 26^8 = 26^(8+1) = 26^9

So 26 * 26^8 simplifies is 26^9

6 0
3 years ago
The school that Scott goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult ti
harina [27]

Answer:

The price of one adult ticket = $13

The price of one student ticket = $4

Step-by-step explanation:

Let the price of 1 adult ticket = x

Let the price of 1 student ticket = y

On the first day of ticket sales the school sold 12 adult tickets and 10 student tickets for a total of $196.

12 × x + 10 × y = $196

12x + 10y = 196....... Equation 1

The school took in $59 on the second day by selling 3 adult tickets and 5 student tickets

3 × x + 5 × y = $59

3x + 5y = 59.......... Equation 2

Using Elimination method

We eliminate y, by Multiplying equation 1 by 5 and Equation 2 by 10

12x + 10y = 196....... Equation 1 × 5

3x + 5y = 59.......... Equation 2 × 10

60x + 50y = 980....... Equation 3

30x + 50y = 590......... Equation 4

Subtract Equation 4 from Equation 3

30x = 390

x = 390/30

x = $13

Therefore, the price of one adult ticket = $13

Remember: x = $13

3x + 5y = 59.......... Equation 2

Substitute

3(13) + 5y = 59

39 + 5y = 59

5y = 59 - 39

5y = 20

y = 20/5

y = $4

Therefore, the price of one student ticket = $4

8 0
3 years ago
Absolute power of x minus 8 equals -5 solve
Shalnov [3]

Your answer is "x=3"!

8 0
3 years ago
Read 2 more answers
Which sequence is geometric? 1, 5, 9, 13, ... 2, 6, 8, 10, ... 5, 7, 9, 11, ... 4, 8, 16, 32, ... ​
Sliva [168]

Answer:

4, 8, 16, 32

Step-by-step explanation:

4, 8, 16, 32 is a geometric sequence. The value multiplies by 2 every time.

6 0
3 years ago
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