M represents miles
35+0.10m=25+0.15m
35-25+0.10m=25-25+0.15m
10+0.10m=0.15m
10+0.10m-0.10m=0.15m-0.10m
10=0.05m
m=200
Check:
35+0.10(200)=25+0.15(200)
35+20=25+30
55=55
The solution: m=200 is true.
After 200 miles driven, prices charged by both companies will be the same.
X^2 - 10x - 9 = 0
first we will move the constant term to the other side
x^2 - 10x = 9
then, to both sides we will add the number that makes the polynomial on the left a perfect square trinomial. Take half of the coefficient of x, then square it. half of the coefficient of x (-10) is -5, and -5 squared is 25. so:
x^2 - 10x + 25 = 34
factor the perfect square trinomial
(x - 5)^2 = 34
x - 5 = plus or minus sqrt(34)
x = 5 plus or minus sqrt(34)
Answer:
<h2>He will use flowers per vase</h2><h2>but will have one left</h2>
Step-by-step explanation:
In this problem we are required to place flowers evenly across 3 flower vases.
Given that we have 25 flower to collect from and distribute evenly.
we are going to divide 25 by 3
We have
<u><em>From the result in the improper fraction we can see the Darren can place 8 flowers evenly of the 25 flowers and there will be just one left over</em></u>
Answer:
8.2
Step-by-step explanation:
Area of triangle is calculated by multiplying height to the base and that divided by two
20 × h ÷ 2 = 56^2
h = 5.6
The square length of CD is equal to sum of square length of height and base
6^2 + 5.6^2 = CD^2
CD = 8.2
