Answer:
Money raised by each team = 94 + 11 = <em>$105</em>
Number of cars washed = <em>11</em>
Step-by-step explanation:
Money already present with volleyball team = $50
Money raised by washing each car by volleyball team = $5
Let the number of cars washed = 
Money raised by washing cars = $5
Money already present with volleyball team = $94
Money raised by washing each car by volleyball team = $1
Money raised by washing cars = $1 = $
Given that, both the teams have raised same amount of money:
Money raised by each team = 94 + 11 = <em>$105</em>
Number of cars washed = <em>11</em>
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15
There 60 pints in 15 gallon
Answer: Roses= 75, Sunflowers= 45
Step-by-step explanation:
Add the ratios- 5 + 3 = 8
Divide the total by the sum = 120 ÷ 8 = 15
Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45
∴ 5:3 = 75 , 45
