Answer:
$218.70
Step-by-step explanation:
You need to first convert the percentage to the decimal.
20% = 0.2
Now, you need to find 20% of each bill by multiplying each bill by 0.2.
0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)
Because of the distributive property, you can add up the bills and multiply the sum by 0.2.
0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)
0.2(1093.50)
218.7
The waiter made $218.70 in tips.
Answer:
john has a greater ratio of shirts to pants
Step-by-step explanation:
jason- 5:2
table:
shirt :5 10 15 20 25 30 35 40 45
pants:2 4 6 8 10 12 14 16 18 20
john-7:3
table:
shirts:7 14 21 28 35 42 49 56 63
pants:3 6 9 1 2 15 18 21 24 27
Answer:
1) (x + 3)(3x + 2)
2) x= +/-root6 - 1 by 5
Step-by-step explanation:
3x^2 + 11x + 6 = 0 (mid-term break)
using mid-term break
3x^2 + 9x + 2x + 6 = 0
factor out 3x from first pair and +2 from the second pair
3x(x + 3) + 2(x + 3)
factor out x+3
(x + 3)(3x + 2)
5x^2 + 2x = 1 (completing squares)
rearrange the equation
5x^2 + 2x - 1 = 0
divide both sides by 5 to cancel out the 5 of first term
5x^2/5 + 2x/5 - 1/5 = 0/5
x^2 + 2x/5 - 1/5 = 0
rearranging the equation to gain a+b=c form
x^2 + 2x/5 = 1/5
adding (1/5)^2 on both sides
x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2
(x + 1/5)^2 = 1/5 + 1/25
(x + 1/5)^2 = 5 + 1 by 25
(x + 1/5)^2 = 6/25
taking square root on both sides
root(x + 1/5)^2 = +/- root(6/25)
x + 1/5 = +/- root6 /5
shifting 1/5 on the other side
x = +/- root6 /5 - 1/5
x = +/- root6 - 1 by 5
x = + root6 - 1 by 5 or x= - root6 - 1 by 5
Since there are 14 boys and the whole class has 31 students
We get, the ratio of the part-to-whole relationship for boys is 14/31.
And since there are 17 girls
We get, the ratio of the part-to-whole relationship for girls is 17/31.
Answer:
<em>1. </em><em>B. $20</em>
<em>2.</em><em>C. 19%</em>
<em>3. </em>D. not here
Step-by-step explanation:
1. info we know
25+45+10+25+15+10 = 130
we need 20 more dollars
2. 25/130 x/100
cross multiply
2500/ 130x
divide
19 = x
3. same steps as last time
35/130 x/100
3500/130x
29%