Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Answer: 21/400
Step-by-step explanation:
Multivitamin:
8 cherry, 5 grape, and 7 orange
Total fruits in Multivitamin container :
(8 + 5 + 7) = 20
P(orange) = Total required outcome / Total possible outcomes)
P(orange) = 7/20
Calcium vitamin :
11 berry, 3 lemon, and 6 pineapple
Total fruits in calcium vitamin container:
(11 + 3 + 6) = 20
Probability of picking a lemon:
P(lemon) = Total required outcome / Total possible outcomes)
P(lemon) = 3/20
Therefore, probability of picking an orange and a lemon equals:
P(orange) × p(lemon) = (7/20) × (3/20) = 21/400
Answer:
length of the photograph will be 4.2 in. after pressing the button 5 times.
Step-by-step explanation:
By pressing the button, every time size of the photograph gets reduced by 12%.
Therefore, the sequence formed by the reduced sizes of the photo will be a geometric sequence and the formula for the size of the reduced image will be,
L = 
Where l = Actual length of the photograph
L = length of the reduced image
n = Number of times the button has been pressed
For l = 8 in. and n = 5
L = 
= 
= 4.22 in
L ≈ 4.2 in.
Therefore, length of the photograph will be 4.2 in. after pressing the button 5 times.
When we solve these equations x= 7.5 and y= 1.5.