To convert 0.45 to percent multiply by 100
<span>0.45 × 100 = </span>45 %
<span>Write the decimal number as a fraction
(over 1)
0.45 = 0.45 / 1
Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's
Numerator (N)
N = 0.45 × 10 × 10 = 45
Denominator (D)
D = 1 × 10 × 10 = 100
N / D = 45 / 100
Simplifying our fraction
= 45/100
= 9/20
</span>
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6
Answer:
5 8/15 Gallons
Step-by-step explanation:
Step 1: Change mixed numbers into improper fractions.
14 1/5 = 71/5
8 2/3 = 26/3
Step 2: Change the improper fractions to have the same denominator.
71/5 = 213/15
26/3 = 130/15
Step 3: Subtract
213/15 - 130/15 = 83/15
Step 4: Simplify
83/15 = 5 8/15
Hope this helps! :D
The complete question in the attached figure
Let
w --------> represent the number of weeks that Jack saves
s --------- > represent the total amount saved, in dollars
step 1
find the equation of the line
points
(2,12) and (4,24)
slope m=(s2-s1)/(w2-w1)------->m=(24-12)/(4-2)-----> m=6
step 2
with m=6 and point (2,12)
s-s1=m*(w-w1)--------> s-12=6*(w-2)-----> s=6w-12+12-----> s=6w
the answer is
s=6w