Answer: 1-17/30, or 47/30
Step-by-step explanation:
Find the common denominator. In this case, it’s 30. Multiply the numerators to fit the new denominator. (10•3=30, so 9•3=27, and 2•10=20.)
Your new fractions are 27/30 and 20/30. Now add the numerators.
27+20=47.
Your new fraction is 47/30.
Now check if you can simplify. Since 47 is a prime number, this fraction is in its simplest form. However, it is an improper fraction, so you can simplify it to 1-17/30.
Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.
Step-by-step explanation:
Slope intercept form standard formula:
y = mx + c
where,
y= y intercept
x= x intercept
m = slope
c = constant
We are given:
y = - 1.3(x + 3)2 - 9
y = - 2.6x + 7.8 - 9
y = -2.6x -1.2
So,
Slope = m = -2.6
constant = 1.2
To find how many miles per hour you need to divide 50 by 5 to get the number of miles per hour and do the same thing to the 2nd step and to find the difference you need to subtract the numbers. Hope it helps!!!
Answer:
$0.72
Step-by-step explanation:
You are contrasting the numbers, so that means you are subtracting. When you subtract, the larger number goes on top..
7.47 - 6.75 = ?
So then you subtract and get $0.72.
I will make $0.72 more than I was at my current job.
-Mabel <3
Given that the area is equal to twice the perimeter and the dimensions are:
length=4x ft, width=(x+6) ft
the perimeter will be:
P=2(L+W)
P=2(4x+(x+6))
P=2(4x+x+6)
P=2(5x+6)
P=(10x+12)
Area of the rectangle is:
A=4x(x+6)
A=4x²+24x
but:
2P=A
thus
2(10x+12)=4x²+24x
20x+24=4x²+24x
thus
4x²+4x-24=0
x²+x-6=0
x²-2x+3x-6=0
x(x-2)+3(x-2)=0
(x-2)(x+3)=0
thus the answer is:
x=-3 or x=2
thus
length=4x=4*2=8 ft
width=(x+6)=(2+6)=8 ft
