Make chart (rate=speed)
distance=time times rate
D=TR
T=D/R
R=D/T
D T R
J 60 x-2 y+10
M 50 x y
xy=50
(x-2)(y+10)=60
solve for x and y
xy=50
divde both sides by x
y=50/x
subsitute
(x-2)(50/x+10)=60
distribute
50x/x-100/x+10x-20=60
50-100/x+10x-20=60
add like terms
10x-100/x+30=60
10x^2/x-100/x+30=60
(10x^2-100)/x+30=60
subtract 60 from both sides
(10x^2-100)/x-30=0
add 30 to both sides
(10x^2-100)/x=30
multiply both sides by x
10x^2-100=30x
subtract 30x from both sides
10x^2-30x-100=0
factor out the 10
(10)(x^2-3x-10)=0
if you have xy=0 then x and/or y=0 so
10≠0 so (x^2-3x-10)=0
factor by finding what 2 numbers multiply to get -10 and add to get -3
the numbers are -5 and 2 so
(x^2-3x-10)=(x-5)(x+2)=0
so x-5=0
x+2=0
x-5=0
add 5 to both sides
x=5
x+2=0
subtract 2 from both sides
x=-2
false since time cannot be negative
x=5
x times y=50
x=5
5 times y=50
divid eby 5
y=10=Maureen's speed
y+10=10+10=20=Jenny's speed
Jenny's speed is <u>20</u> miles per hour
Maureen's speed is <u>10</u> miles per hour
Answer
s = 11
Step-by-step explanation:
Find the value of S:
57 + s = 68
Substract 57 from both sides of the equation
s = 68 - 57
s = 11
This calculator will first reduce the improper fraction to lowest terms by dividing numerator and denominator by the greatest common factor (GCF). The GCF of 45 and 10 is 5. The remainder is 1. With 1 as the numerator and 2 as the reduced denominator, the fraction part of the mixed number is 1/2.
Answer:
equation; P=A(1+r/n)^nt
P=principal amount
A=value of investment
r= interest rate in decimals
n=number of times compounded
t=time in years
P=1000(1+0.16/12)^12(5)= $2213.8 rounded
Step-by-step explanation:
The "Property<span> of </span>Zero" of Multiplication <span>shows that the product of </span>zero<span> and any number is </span>zero<span>.
</span>
Here is one example:
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5 x 0 = 0 .
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{"Five times zero equals zero."}.
{"Five multiplied by zero equals zero".}.
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