Answer:
a) 7 : 20
b)There will be 35 people with blue eye
Step-by-step explanation:
a)
This question is asking you the ratio of the number of people with blue eyes to the total number of people.
So seven people with blue eyes to the total number of 20 people.
7 : 20
b)
you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.
so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.
so then you use 5 times 7, then you got the number 35.
That means, there are 35 people with blue eyes in 100 people.
Given the equation:
We will use the following rule to find the solution to the equation:
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
From the given equation: a = 6, b = 7, c = 2
So,
![\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B7%5E2-4%5Ccdot6%5Ccdot2%7D%7D%7B2%5Ccdot6%7D%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B1%7D%7D%7B12%7D%3D%5Cfrac%7B-7%5Cpm1%7D%7B12%7D%20%5C%5C%20x%3D%5Cfrac%7B-7-1%7D%7B12%7D%3D-%5Cfrac%7B8%7D%7B12%7D%3D-%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%20or%2Cx%3D%5Cfrac%7B-7%2B1%7D%7B12%7D%3D-%5Cfrac%7B6%7D%7B12%7D%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
So, the answer will be option B) x = -1/2, -2/3
1. 3t + 2b = 16....multiply by -3
5t + 3b = 25...multiply by 2
----------------
-9t - 6b = -48 (result of multiplying by -3)
10t + 6b = 50 (result of multiplying by 2)
---------------- add
t = 2
3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5
so tacos (t) cost $ 2 and burritos (b) cost $ 5
===================
d + q = 75......d = 75 - q
0.10d + 0.25q = 10.95
0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23....so there are 23 quarters
=====================
x = 2 point shots, y = 3 point shots
x + y = 24.....multiply by -2
2x + 3y = 54
----------------
-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
----------------add
y = 6.......so there was 6 three point shots
x + y = 24
x + 6 = 24
x = 18......and 18 two point shots
======================
5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4......they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guys....more then 4, use Game Bank
=======================
(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2
y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)
(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1
y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)
y = 2x + 1
y = x + 5
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)
=====================
sorry..not 100% sure about the bonus
Exact form
-3/2
Decimal form
-1.5
Mixed number form
-1 1/2
Answer: 300
Explanation: $13.00 x 20 + 40 I think
