Step-by-step explanation:
y is directly proportional to x
y = kx
k represents the constant of proportionality.
when y = 20 and x = 8:
20 = 8k
Dividing both sides by 8 gives:
k = 2.5
Hence when x = 3.
y = 2.5(3)
y = 7.5 .
Answer:
Step-by-step explanation:
Part A ;
Part B ;
Answer:
The Answer would be $40.64
Step-by-step explanation:
To find a percentage of a certain number, you must multiply that number by the percentage in decimal form. Since the socks cost 8 dollars each 8 x 0.08 = 0.64 Meaning the tax cost is 64 cents. 8 x 5 = 40 Giving us $40.64
Answer: 
Step-by-step explanation:
Given: The number of days Jonathan ran = 5
The most he ran in 1 day = 3.5 miles
Therefore, the maximum distance he ran in a week= 
Let x be the distance Jonathan could have rum in a week, such that
Hence, the required inequality is .
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
