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andrew-mc [135]
3 years ago
8

When this 3-digit number is rounded to the nearest hundred, it rounds to 200.  Rounded to the nearest ten, this number rounds to

200.  The sum of the digits of this number is 19.  What is the number.
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0
199, it rounds to 200 because it's closer to 200 than 100. It is also closer to 200 than to 190. And finally, 1 + 9 + 9 = 19
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Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each
swat32

Answer:

The system is of equations is:

\left\{        \begin{array}{ll}            10g+15r=725 & \quad  \\            g+r=60 & \quad         \end{array}    \right.

Where g is the amount of general tickets and r is the amount of reserve tickets.

35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Let general tickets be represented by g and reserved tickets be represented by r.

Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:

10g+15r=725

And a total of 60 tickets were sold. Hence:

g+r=60

Our system of equations is:

\left\{        \begin{array}{ll}            10g+15r=725 & \quad  \\            g+r=60 & \quad         \end{array}    \right.

We can solve by substitution. First, divide both sides of the first equation by 5:

2g+3r=145

Next, we can subtract a variable (r in this case) from the second equation:

g=60-r

Substitute:

2(60-r)+3r=145

Distribute:

120-2r+3r=145

Simplify:

120+r=145

Subtract:

r=25

Using the previous equation:

g=60-r

Substitute and evaluate:

g=60-(25)=35

So, 35 general tickets and 25 reserve tickets were sold.

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3 years ago
From long experience, it is known that the time it takes to do an oil change and lubrication job on a vehicle has a normal distr
djyliett [7]

Answer: 29.916 minutes

Step-by-step explanation:

Given the following :

Mean of distribution = 17.8 minutes

Standard deviation of distribution = 5.2 minutes

Percentage of customers to give free lube and oil change service should not exceed 1% if the customer waits beyond the guaranteed time ;

Length of guarantee :

Since % of customers should not exceed 1%

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Using the z table to find the Zscore of 0.99,

Zscore of 0.99 = 2.33

This is 2.33 standard deviations above the mean

(2.33 × standard deviation) + mean value

(2.33 × 5.2 minutes) + 17.8 minutes

12.116 + 17.8

= 29.916 minutes

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The answer is C (0,6)
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