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2 years ago

Round 15,680 to the nearest thousand

1 answer:

7 0

To round to the nearest thousand, we check the digit in the hundreds place. If it is less than 5, we round down, else we round up to the next thousand.

In this case, the digit in the hundreds place is "6" and "6" is 5 or more, so we round up to the next thousand.

15 680 ≈ 16 000

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What value of x makes this equation true? -12 + 5x = -24 + x

Alex

Answer:

Step-by-step explanation:

-12+5x=-24+x

4x=-12

x=-3

4 0

2 years ago

The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000

Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means $x+y\leq 20000$

For concert to be held $x+y\geq 5000$

$lawn seats\leq reserved$ means $y\leq x$

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) = $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0

2 years ago

The time at which the mailman delivers the mail to ace bike shop follows a normal distribution with mean 2:00 pm and standard de

ivolga24 [154]

There are three questions related to this problem.

First, the probability of the mail will arrive after 2:30 PM

Find the z-score of 2:30 which is 30 minutes after 2:00.

z(2:30) = (2:30 – 2:00)/15 = -30/15 = -2

P(x < 2:30) = P(z<-2) = 0.0228

Second, the probability of the mail will arrive at 1:36 PM

Find the z-score of 1:36 which is 24 minutes before 2:00.

z(1:36) = (1:36 – 2:00)/15 = -24/15 = -1.6

P(x < 1:36) = P(z<-1.6) = 0.0548

Lastly, the probability of the mail will arrive between 1:48 PM and 2:09 PM

Find the z-score of 1:46 and 2:09 PM which will result to a z value of 0.034599

P(1:48 < x < 2:09) = P(z<0.034599) = 0.5138

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2 years ago

How many leap years occur between the years 1700 and 1875?

Zina [86]

Step-by-step explanation:

A leap year occurs every 4th year.

So, 1875 - 1700 = 175

Now let us divide 175 by 4

$175 \div 4 = 43.75 \\ here \: 43 \: represents \: the \: number \: of \: \\ leap \: years.$

So, 43 leap years occur between the years 1700 and 1875.

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2 years ago

Teo makes a necklace of x wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads in the neckl

Ainat [17]

Answer:

0.50x + 7.50 = 0.75(x+6)

Hope this helps :)

4 0

2 years ago