Answer:
The y-intercept is -15.
Step-by-step explanation:
y - 5 = 5(x - 4) is our equation in point-slope form.
point slope form is = y - y1 = m( x - x1)
So, we know that the slope is 5 and one point is (4, 5)
We can use this point and the slope to find the y -intercept.
y = mx + b is slope intercept form.
Let's input the values we know to find the y-intercept.
5 = 5(4) + b
5 = 20 + b
-15 = b
The y-intercept is -15.
Answer:
5/8
Step-by-step explanation:
Subtract the total computers from the old computers.
40-15=25
Then put the number of new computers over the total computers
25/40
Then, simplify
5/8
I'd turn the fraction into a decimal. 56.25% but the answer in simplest form is <span>-5/7(2/5). i hope this helped you. :)</span>
Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
First, we can convert both of them to improper fractions.
We do that by multiplying the denominator to the whole number, adding it to the numerator, and keeping the denominator.
2 5/3 - 2 3/2
So we have:
11/3 - 7/2
Convert both of them to denominators of 6:
22/6 - 21/6
Subtract the numerators and keep the denominators:
1/6
