Answer:
Step-by-step explanation:
You can represent Morgan's scenario with the expression, 25w + 615, and you can represent Kendall's scenario with the expression, 15w + 975. To find out when they both have the same amount of money in their accounts, you set them equal to each other and solve for w:
25w + 615 = 15w + 975
25w = 15w + 360
10w = 360
w = 36
Morgan and Kendall will have the same amount of money after 36 weeks.
Answer:
<h3>
m∠BAC = 80° </h3>
Step-by-step explanation:
m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°
From ΔABC:
m∠ABC + m∠BCA + m∠BAC = 180°
65° + 35° + m∠BAC = 180°
m∠BAC = 180° - 100°
m∠BAC = 80°
Notice that the pattern is "previous term plus 2". This is an arithmetic sequence where the difference (d) equals +2
= a₁ + d(n - 1) ; where a₁ is the first term, d is the difference, and n is the term.
f(n) = 1 + 2(n - 1)
f(n) = 1 + 2n - 2
f(n) = 2n - 1
********************************
f(10) = 2(10) - 1
f(10) = 20 - 1
f(10) = 19
Answer: 18 1/6 feet
Step-by-step explanation:
From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.
The perimeter would be calculated as:
= 2(length + width)
= 2( 5 1/3 + 3 3/4)
= 2( 5 4/12 + 3 9/12)
= 2( 8 13/12)
= 2 (9 1/12)
= 2 × 9 1/12
= 2 × 109/12
= 218/12
= 18 2/12
= 18 1/6 feet
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
