Hi there
5x+3(x-5)=6x+2x-15
Simplify both sides of the equation
5x+3(x-5)=6x+2x-15
Distribute
5x+3x-15=6x+2x-15
Combine like terms
(5x+3x)-15= (6x+2x)-15
8x-15=8x-15
Subtract 8x from both sides
8x-15-8x=8x-15-8x
-15=-15
Add 15 to both sides
-15+15=-15+15
0=0
All real numbers are solutions
To solve this equation I used " The distributive property"
I hope that's help !
Good night !
Answer:
f(p)::500=25p
Step-by-step explanation:
The unknown is how many packs she has.
Therefore, the total amount 500 is equal to the number of packs (p) and how may are per pack.
Answer:
Step-by-step explanation:
P: the principal, amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
n: the number of times it is compounded.
Ex2:Suppose that $5000 is deposited in a saving account at the rate of 6% per year. Find the total amount on deposit at the end of 4 years if the interest is:
P =$5000, r = 6% , t = 4 years
a) simple : A = P(1+rt)
A = 5000(1+(0.06)(4)) = 5000(1.24) = $6200
b) compounded annually, n = 1:
A = 5000(1 + 0.06/1)(1)(4) = 5000(1.06)(4) = $6312.38
c) compounded semiannually, n =2:
A = 5000(1 + 0.06/2)(2)(4) = 5000(1.03)(8) = $6333.85
d) compounded quarterly, n = 4:
A = 5000(1 + 0.06/4)(4)(4) = 5000(1.015)(16) = $6344.93
e) compounded monthly, n =12:
A = 5000(1 + 0.06/12)(12)(4) = 5000(1.005)(48) = $6352.44
f) compounded daily, n =365:
A = 5000(1 + 0.06/365)(365)(4) = 5000(1.00016)(1460) = $6356.12
Answer:
150
Step-by-step explanation:
it is just like finding the area of a rectangle! 10*15=150
Answer:
150
Step-by-step explanation:
A=bh
A=15×10
A=150
(1 gallon = 231 in3, 1 inch = 2.54 cm)
the temperature in Austria will be 10 degrees Celsius at half past 11.
We can start by calculating how much the temperature will increase from 8 am to 12 pm:
From 8 am to 9 am: temperature increases by 2 degrees Celsius
From 9 am to 10 am: temperature increases by 2 degrees Celsius
From 10 am to 11 am: temperature increases by 2 degrees Celsius
From 11 am to 12 pm: temperature increases by 2 degrees Celsius
Therefore, the temperature at 12 pm will be:
-5 + 2 + 2 + 2 + 2 = -5 + 8 = 3 degrees Celsius
Now, we need to calculate how much the temperature will increase from 12 pm to 11:30 am:
From 12 pm to 1 pm: temperature increases by 2 degrees Celsius
From 1 pm to 2 pm: temperature increases by 2 degrees Celsius
From 2 pm to 3 pm: temperature increases by 2 degrees Celsius
From 9 pm to 10 pm: temperature increases by 2 degrees Celsius
From 10 pm to 11 pm: temperature increases by 2 degrees Celsius
From 11 pm to 11:30 pm: temperature increases by 1 degree Celsius
Therefore, the temperature at half past 11 will be:
3 + 2 + 2 + 2 + 1 = 10 degrees Celsius
learn more about temperature here:
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