D=number of dimes
q=number of quarters
let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents
10d+25q=700
divide both sides by 5
2d+5q=140
he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation
2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15
sub back
q=7+d
q=7+15
q=22
22 quarters and 15 dimes
Answer:
y+8=-5(x-3)
Step-by-step explanation:
The formula for point-slope form is y-y1=m(x-x1)
The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.
So, start by writing your equation like this: y--8=m(x-3)
For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).
We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)
And there you have it!! The equation is now in point-slope form!!
y+8=-5(x-3) is the final answer!!
Hope that helps you!! Please give me brainliest!!
"f(x)=(5x)/(x-x²)" is the one function among the following choices given in the question that <span>has a removable discontinuity. The correct option among all the options that are given in the question is the third option or option "C". It is the only function having a term cancelling out each other at the top and the bottom. </span>
Answer:
6 1/12 miles total
Step-by-step explanation:
3 1/4 = 13/4
2 5/6 = 17/6 to ADD fractions, you must have a common denominator
I will use 12 for these
13/4 = 39/12
17/6 = 34 /12
now you can add and simplify 39/12 + 34/12 = 73/12 = 6 1/12 miles
Let's break this up:
let x = the number
"when I triple my number" is the same as
3x
"and add five" is the same as
+5
We combine it to get
3x+5
"I get twenty-six"
=26
combine to get
3x+5=26
Now we just solve:
subtract 5 from both sides to get
3x=21
divide by 3 to get
x=7
