Answer:
susan´s age=4
jack´s age=31
Step-by-step explanation:
Hello!
To solve the first part of this problem we must propose a system of equations of 2 x2, that is to say two equations with two unknowns where
J = is the age of jack
S = susan's age
with the above the following two equations are inferred
ecuation 1
J=S+27
ecuation 2
(J+5)=4(s+5)
J=4S+20-5
J=4S+15
now to solve we subtract equation 1 from equation 2 as follows
J=4S + 15
-
J=S + 27
___________
0=4S-S+15-27
0=3S-12
susan is 4 years old
now we use the ecuation number 1
J=S+27
J=4+27=31
jack is 31 years old
b.
Finally, to verify that the answer is correct, we replace the ages of jack and susan in equation 2.
(J+5)=4(s+5)
(31+5)=4(4+5)
36=36
as the equation is the same means that our answer is correct
So we need to represent the problem using an equation
900 = the original pile of bricks (x) + 25% more - 40% (original + 25% extra)
900 = x + .25x - .4(x + x*.25)
900 = x + .25x - .4x - .1x
900 = .75x
x = 1200
Answer:
A. x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Simplify</u>
- Factor:
- Divide:
They have to have good vision
Answer:
x = 35.1 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos x = 27/33
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1(27/33)
x =35.09680123
To the nearest tenth
x = 35.1 degrees