Answer:
<u>The number is 67</u>
Step-by-step explanation:
<u>Equations</u>
Let's consider the number 83. The tens digit is 8 and the unit digit is 3. Note the tens digit's addition to the number is 80, and the unit's addition is 3. This means the tens digit adds 10 times its value, that is, 83 = 8*10 + 3.
Now, let's consider the number ab, where a is the tens digit, and b is the unit digit. It follows that
Number=10*a+b
The question gives us two conditions:
1) The sum of a two-digits number is 13.
2) The tens digit is 8 less than twice the units digit.
The first condition can be expressed as:
a + b = 13 [1]
And the second condition can be written as:
a = 2b-8 [2]
Replacing [2] into [1], we have:
2b-8 + b = 13
Operating:
3b = 13 + 8
3b = 21
Solving for b:
b = 21 / 3 = 7
Substituting into [2]:
a = 2*(7) - 8 = 6
Thus, the number is 67
Answer:
rational algebraic expression
Answer:
The slope is 
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have

so
Convert to slope intercept form
Isolate the variable y



The slope is 
Answer:
15n=135
Step-by-step explanation:
first, you need to know how much of the total amount is the money needed for soccer balls, to find this you take the amount of a soccer ball and multiple it by the amount of people
14×15=210
then you subtract that from the total amount to get the amount spent on jerseys.
345-210=135
to get the amount of each jersey you take 135 and divide by the amount of people
135÷15=9