Select the correct answer.
weight/calories per day: 1000 to 1500 cal./1500 to 2000 cal./2000 to 2500 cal./total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
total 140 250 110 500
based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day?

a. 0.22
b. 0.28
c. 0.35
d. 0.50

Explanation:

1. Two-way table:

                Calories per Day:

                1000 to 1500      1500 to 2000     2000 to 2500   Total

Weight

120 lb.               90                        80                        10                180

145 lb.               35                       143                        25               203

165 lb.                15                        27                        75                 117

Total                 140                     250                       110               500

2. Total number of persons

Look at the intersection of the totals for the columns and the rows: 500

3. Number of persons that consume 1,500 to 2,000 calories in a day

Look at the total for the column 1,500 to 2,000 calories per day: 250

4. Probability that a person consumes 1,500 to 2,000 calories in a day, P

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316