Answer:
Change the value of years to months.
Step-by-step explanation:
Western Beach: f(x) = -2x + 100
Dunes Beach: g(x) = 5x + 20
1 Year = 12 Months
Months will make the width interception more accurate.
Answer:
Area = (22 ft)(12 ft) + (22 ft)(w)
Step-by-step explanation:
The area is the product of length and width. The length is given as 22 ft (the same for both rooms). The width is the total of the widths of the two rooms.
Straightforward application of the area formula gives ...
... Area = length×width
... = (22 ft)×(12 ft + w)
This is one side of the equation that expresses the distributive property:
... a(b +c) = ab + ac
The other side is
... area = (22 ft)(12 ft) + (22 ft)(w)
The equation in bold above is a direct application of the area formula. The bold equation immediately above here is the result of applying the distributive property, which is apparently what the problem statement wants.
(You may be expected to write it as ... 22×12 + 22×w . . . . without any units.)
Answer:
(3, 5)
Step-by-step explanation:
y = 2x - 1
3x + 2y = 19
In the second equation, substitute 2x - 1 in for y, since y equals 2x - 1 in the first equation. Solve for x.
3x + 2(2x - 1) = 19
3x + 4x - 2 = 19
7x - 2 = 19
7x - 2 + 2 = 19 + 2
7x = 21
7x/7 = 21/7
x = 3
Pick the first equation to solve for y since it says y =. Substitute 3 in for x.
y = 2x - 1
y = 2(3) - 1
y = 6 - 1
y = 5
Answer:
30.2 - 13.7=n
Step-by-step explanation:
To get how far he ran you have to subtract 30.2 from 13.7 therefore giving you 16.5 which will be the total distance he ran after lunch.
Answer:
CPQ = 135
JCY = 25
Step-by-step explanation:
The two angles form a straight line, so the sum of the angles is 180
8x-7 + 12x+57 = 180
Combine like terms
20x +50 = 180
Subtract 50 from each side
20x+50-50 = 180-50
20x = 130
Divide each side by 20
20x/20 = 130/20
x =6.5
We want to find CPQ
CPQ = 12x+57
=12(6.5) +57
=78+57
135
These angles are vertical angles and vertical angles are equal
4x+5 = 2x+15
Subtract 2x from each side
4x-2x+5 = 2x-2x+15
2x+5 = 15
Subtract 5 from each side
2x+5-5 =15-5
2x = 10
Divide each side by 2
2x/2 = 10/2
x =5
We want to find JCY
JCY = 4x+5
= 4(5)+5
=25