Answer:
Step 1) Convert the 3.15 percent to a decimal number.
To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.
3.15 ÷ 100 = 0.0315
Step 2) Convert the decimal number to a fraction.
To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.
0.0315 =
0.0315
1
Step 3) Remove the decimal point in the numerator.
To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.
0.0315 × 10000
1 × 10000
=
315
10000
Step 4) Simplify the fraction.
The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.
315 ÷ 5
10000 ÷ 5
=
63
2000
Step 5) Convert the fraction to a ratio.
To convert the fraction to a ratio, replace the fraction divider line with a colon.
63
2000
= 63:2000
That was the final step. Below is the answer to 3.15 percent as a ratio.
3.15% = 63:2000
Step-by-step explanation:
Answer: Step-by-step explanation:
What is 5.56666666667 as a fraction?
To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000
And finally we have:
5.56666666667 as a fraction equals 556666666667/100000000000
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35
step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
y+36=(x-1)²------> equation in the vertex form
the vertex is the point (1,-36)
the answer Part a) is
the vertex is the point (1,-36)
Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
(+/-)(x-1)=√36-------> (+/-)(x-1)=6
(+)(x-1)=6------> x=6+1-----> x=7
(-)(x-1)=6-----> x=1-6-----> x=-5
the x-intercepts are the points
(7,0) and (-5,0)
the answer part b) is
the x-intercepts are the points (7,0) and (-5,0)
the total answer is the option
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
Answer:
2(3(8))+2(8)=64
Step-by-step explanation:
Here, w represents the width of the rectangle,
∵ length of the rectangle is 3 times the width of the rectangle,
So, length = 3w,
Since, the perimeter of a rectangle, P = 2(length + width)
= 2(w + 3w)
= 2w + 2(3w)
If P = 64 feet,
⇒ 2w +2(3w) = 64
⇒ 2w + 6w = 64
⇒ 8w = 64
⇒ w = 8
Verification :
P = 2(8) + 2((3(8)) = 16 + 48 = 64 feet
Hence, the first step that should be taken to verify that the width of the rectangle is 8 is 2(3(8))+2(8)=64
Note : a solution obtain from an equation is verified by substituting the value in the equation.
