Answer:
Step-by-step explanation:
We want to find an equation of a line that's perpendicular to x=1 that also passes through the point (8,-9).
Note that x=1 is a <em>vertical line </em>since x is 1 no matter what y is.
This means that if our new line is perpendicular to the old, then it must be a <em>horizontal line</em>.
So, since we have a horizontal line, then our equation must be our y-value of our point.
Our y-coordinate of our point (8,-9) is -9.
Therefore, our equation is:
And this is in standard form.
And we're done!
Answer:
add it up to see if it's 180
Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels
Multiply 4 by 10%.
10% ⇒ 0.1
4 × 0.1 = 0.4
Subtract 0.4 from 4.
4 - 0.4 = 3.6 (price with discount)
Multiply 3.6 by 6%.
6% ⇒ 0.06
3.6 × 0.06 = 0.216
Add 0.216 to 3.6.
0.216 + 3.6 = 3.816
Round 3.816 to the hundredths.
3.816 ⇒ 3.82 (price with tax)
The new price of toothbrushes is $3.82.
Answer:
18 months
Step-by-step explanation:
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