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Andrej [43]
3 years ago
8

Dr.Bolton was born in an interesting year. The tens digits was twice the thousands digits, the ones Digits was three times the t

ens digits, and the hundreds digits was equal to the sum of the other three digits. In what year was he born?
Mathematics
1 answer:
kap26 [50]3 years ago
5 0
Answer: Dr. Bolton was born in 1926.

Work: 

Let x be the thousands digit. So, you will have the tens digit be 2x, the ones digit be 6x, and the hundreds digit be 9x. Now, let's try x as 1. Then, you will have the thousands digit be 1, the tens digit be 2, the ones digit be 6, and the hundreds digit be 9. Hope it helps!

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12-4x+2x1-7 standard form​
Naily [24]

Answer:

The answer is − 2 x + 5

Step-by-step explanation:

7 0
3 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
bonufazy [111]

Answer:

a) The demand function is

q(p) = -4 p + 107

b) The nightly revenue is

R(p) = -4 p^2 + 107 p

c) The profit function is

P(p) = -4 p^2 + 133.75 p - 939

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

s = \frac{79-43}{7-16} = \frac{36}{-9} = -4

Since the demand takes the value 79 in 7, then

q(p) = -4 (p-7) + 79 = -4 p + 107

b) The nightly revenue can be found by multiplying q by p

R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0
3 years ago
Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

6 0
3 years ago
3a) There were 25 red markers, 32 blue markers, and 38 green markers in a tub. Explain how you would construct a bar graph for t
Tema [17]

Answer:

Step-by-step explanation:

you would show x and y lines and title frequency to side and colours to bottom

0-40 on the y axis title is frequency

and on bottom graph put the colours. red blue and green always using equal intervals for names or time or colours along the x axis.  

5 0
2 years ago
Read 2 more answers
Find the area of a circle with the diameter of 3 centimeters. Use 3.14 for pi ().
wlad13 [49]

Answer:

7.065 sq. cm

Step-by-step explanation:

Diameter= 3 cm

Since 2r=d, the radius is 1.5 cm

Circle area formula:

πr^2 --> 3.14(r^2)

Plug in r:

A=3.14(1.5^2)

A=3.14(2.25)

A=7.065

3 0
3 years ago
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