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3 years ago

Suppose an airplane climbs 15 feet for every 40 feet it moves forward. What is the slope of this airplane's ascent?

Mathematics

1 answer:

zimovet [89]3 years ago

4 0

$\frac{15}{40}$
thats the slope, you can also get a decimal out of it

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if the cost of a movie ticket now averages $11.50 , interpret the meaning of the expression 11.50(1.083)

LUCKY_DIMON [66]

I believe the correct expression is: 11.50(1.083)^t where t is the time.

Now, we are given that the average price of the ticket is $11.5
The given expression means that this average value is dependent on the variable t. Therefore, the average price of the ticket increases exponentially with the time with the rate of growth equals 1.083

Now, to better understand this, we will get the price of the ticket at different times:
At t = 1: price = 11.50(1.083)^1 = $12.4545
At t = 2: price = 11.50(1.083)^2 = $13.4882235
At t = 3: price = 11.50(1.083)^3 = $14.60774605
We can notice that the price of the ticket increases exponentially as the time increases.

Hope this helps :)

5 0

3 years ago

Can someone help me with number 4?

Rashid [163]

The US: 300m World: 9b Most accurate: B

300m•20=6b population

B is the most accurate

4 0

3 years ago

the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls

Inessa05 [86]

First, make up some variables to represent the number of Girls and Boys in the choir.

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
$\frac{B}{G} = \frac{1}{4}$

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0

3 years ago

Find the solution to the system of equations

Neko [114]

Answer:

x=1

y=-4

Step-by-step explanation:

Since -x-3=y subsitue that in at the top equation

$- x - 3 = - 7x + 3$

$- x = - 7x + 6$

$6x = 6$

$x = 1$

Plug x=1 back into the equation to solve for y.

$y = - 7(1) + 3$

$y = - 4$

3 0

3 years ago

A company purchased a machine for $970,000. the machine has a useful life of 12 years and a residual value of $4,500. it is esti

harina [27]

Cost less salvage value = 970,000 - 4500 = 965,500
Capacity of machine = 1,000,000 units.
units consumed at the end of second year = 200,000 + 300,000 = 500,000 units.
Capacity remaining = 1,000,000 - 500,000 = 500,000 units
Book value at end of second year = (500,000/1,000,000)*965,500 + 4500
= $487,250

8 0

3 years ago