Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Let
y ----> the total amount of savings
x ----> the number of months
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
<em>Herman</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation A
<em>Jackie</em>
The slope is equal to 
The y-intercept is 
substitute
----> equation B
Part 1) In how many months will they have the same amount of savings?
equate equation A and equation B
solve for x
Part 2) How much will each of them have saved?
substitute the value of x=10 months in any of the equations
equation A
equation B
Multiply first example by 3 and subtract by second example, you will get the following:
3*(5x + 2y) = 3*22 => 3*5x + 3*2y = 66 => 15x + 6y = 66
now subtraction:
(15x + 6y) - (-2x + 6y) = 66 - 3
15x + 6y + 2x - 6y = 63
15x + 2x + 6y - 6y = 63
17x = 63
x = 63/17 ≈ 3.705..... and as it says to round to the nearest tenth our answer would be: x = 3.7
Answer:
9(4/3)
Step-by-step explanation:
you add up the hours of each of the girls so, 3(1/2)+4(1/3)+2
Answer:
0.12
Step-by-step explanation:
Suppose there are 100 kids
60% have fever, so <em><u>what is 60% of 100?</u></em>
We convert percentage to decimal and multiply:
60/100 = 0.6
0.6 * 100 = 60 have fever
20% of the people having fever (60 of them) have sore throats, so,
<u><em>What is 20% of 60?</em></u>
We convert percentage to decimal and multiply:
20/100 = 0.2
0.2 * 60 = 12 have sore throat
So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:
