The amount of money Kyle paid is $25.
<h3>Determine the price of nachos and chocolates </h3>
Two simultaneous equations can be derived from the question:
3n + 3c = $45 equation 1
n = 2c equation 2
Where:
- n = price of nachos
- c = price of chocolate
In order to determine the price of chocolates, please substitute for n in equation 1.
3(2c) + 3c = $45
6c + 3c = $45
9c = $45
c = $45/9 = $5
In order to determine the price of nachos, please substitute for c in equation 2:
n = 2($5)
n = $10
<h3>Amount Kyle paid </h3>
2($10) + $5
$20 + $5
= $25
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X 
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 <u> 8 </u> 84.5 <u> 676 </u>
Total <u> 242 </u> <u> 10389 </u>
Now, the mean of the frequency distribution is given by the following formula;
Mean =
=
= 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Answer: 54
<u>Step-by-step explanation:</u>
replace "a" with "-2" in the g-equation
g(a) = a² - 4a + 42
g(-2) = (-2)² - 4(-2) + 42
= 4 + 8 + 42
= 54
Answer:
30 m
Step-by-step explanation:
Please consider the attached file.
We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.
We will use Pythagoras theorem to solve for KJ as:




Now we will take positive square root on both sides:



Therefore, the length of line segment KJ is
and option D is the correct choice.