All categories

3 years ago

Help I don’t understand. Pic above

Mathematics

1 answer:

vfiekz [6]3 years ago

7 0

Answer:

110

Step-by-step explanation:

x = adult's tickets

y = student's tickets

{x + y = 250

{5x + 7y = 1530

{- 5x - 5y = - 1250

{5x + 7y = 1530

--------------------------

2y = 280

y = 280/2

y = 140

x + y = 250

x + 140 = 250

x = 250 - 140

x = 110

I hope I've helped you.

You might be interested in

Whats the mean of 137 and 441

Vlad1618 [11]

Can you show all the numbers so I could do the math

6 0

3 years ago

Write -8 5/6 as the decimal round to the nearest hundredth

LenKa [72]

Answer:

-8.83

Step-by-step explanation:

I took 5/6 and converted into a decimal and it is 0.83333333333 and it is 0.83 rounded to the nearest hundredth and then I added -8 to get -8.83.

5 0

3 years ago

A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min

Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

$A \to Amount$

$t \to time$

Given

$A(0) = 200$ --- initial

$A(5) = 200 * (1 - 20\%) = 160$ --- the amount left, after 5 minutes

Required

$A(10)$ --- amount left after 5 minutes

To do this, we make use of:

$A(t) = A(0) * e^{kt}$

$A(5) = 160$ implies that:

$160 = 200 * e^{k*5}$

Divide both sides by 200

$0.80 = e^{k*5}$

Take natural logarithm of both sides

$\ln(0.80) = \ln(e^{k*5})$

$\ln(0.80) = \ln(e^{5k})$

$\ln(0.80) = 5k\ln(e)$

So, we have:

$-0.223 = 5k$

Divide by 5

$k = -0.045$

So, the function is:

$A(t) = A(0) * e^{kt}$

$A(t) = 200 * e^{-0.045t}$

The amount after 10 minutes is:

$A(10) = 200 * e^{-0.045*10}$

$A(10) = 200 * e^{-0.45}$

$A(10) = 127.53$

3 0

3 years ago

Can someone find the slope?

Charra [1.4K]

I think it is 2/17. If you do 2-0 over 17-0 you get 2/17. The equation for this is y2-x2 over y1-y2=slope

3 0

3 years ago

If the sum of four consecutive numbers is n, what is the first one?

serg [7]

$x - first\ number\\\\x,\ x+1,\ x+2,\ x+3-\text{four consecutive integers}\\\\\text{The equation:}\\\\x+(x+1)+(x+2)+(x+3)=n\\\\4x+6=n\ \ \ \ |-6\\\\4x=n-6\ \ \ \ \ |:4\\\\\boxed{x=\dfrac{n-6}{4}}$

$m, m+1,\ m+2,\ m+3,\ m+4,\ m+5,\ m+6-\text{seven consecutive numbers}\\\\\text{The sum}\\\\m+(m+1)+(m+2)+(m+3)+(m+4)+(m+5)+(m+6)=7m+21$

4 0

4 years ago