Answer: The numbers are 10.8 and 46.2.
Step-by-step explanation: The sum of two numbers is 57.
x + y = 57
Assume x is the larger number.
x - 3 = 4y
x = 4y + 3
Use subsitution.
4y + 3 + y = 57
y = -4y - 3 + 57
y = -4y + 54
5y = 54
y = 10.8
Plug in y.
x + 10.8 = 57
x = 46.2
Check.
46.2 - 3 = 4(10.8)
43.2 = 43.2
Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
$1020
Step-by-step explanation:
1/2 of 170 is 85.
85 x 12 = 1020
WOOOO!!!!
092MLBO
Solution:
<h3>
Step-by-step explanation:</h3>
<h3>1. Apply rule : a(-b) = -ab</h3>
<h3> </h3>
2. Apply radical rule : 
, 
, 
<h3>3.Multiply the numbers : 2 • 5 = 10</h3>
=
<h3>4.Multiply the numbers : - 6 • 3= - 18</h3>
P = 0.11
1-p = .89
n = 200
mean = n*p = 22
std dev = n*sqrt(p(1-p)/n) = 4.425
find z values for standard normal distribution
Z= (30-22)/4.425 = 1/808
look up table to find P(Z less than 1.808) which is same P(x less than 30)
for 2nd part, you need 2 Z values
Z1 = (25-22) / 4.425 = 0.678
Z2 = (15-22) / 4.425 = -1.58
P(-1.58 less than Z less than 0.678) = P(Z less than .678) - P(Z less than - 1.58)
