Answer:
x=14
Step-by-step explanation:
x+7=21
x=14
Answer:
-12x - 9xy
Step-by-step explanation:
-3x(4x - 5xy + 8y)
distribute
-12x + <u>15xy - 24xy</u>
combine like terms
-12x - 9xy
Answer:
(1) F(n) = 8050 -400n
(2) 16 days
Step-by-step explanation:
Tylor first day he has left 7,250feet left to climb, this means that he has already climbed his 400ft on his first day
This will produce an arithmetic series for the distances left to climb as each day passes
initial climb = 7,250+400 = 7,650
Arithmetic Series
7650 , 7250 , 6850 , 6450 ......
a = 7650 , d = -400
(1) Explicit formula
F(n) = a + (n-1)d
= 7650 + (n-1)(-400)
= 7650 +400 -400n
F(n) = 8050 -400n
(2) 8050 -400n = 1750
6300 = 400n
n = 6300 /400 = 15.75 = 16 days( approximately)
So after 16days (approximately) Taylor will have 1750ft left to climb.
P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.
Answer:
The area of the circle with a 3-inch diameter is 7.07 square inches.
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
If you are given diameter, take half of that to get the radius: 3 ÷ 2 = 1.5
Then take the radius, 1.5 and square it (multiply by itself) 1.5 × 1.5 = 2.25
Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)
2.25 × 3.14 = 7.065
Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."
You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.
Then you put in the units measure. Inches are given, so the Area will be square inches
7.07 in²
