The sum of a number, x, and the opposite of another number, y, is 66. The difference of x and y is also 66. Find x and y.
Please help lol im giving 100 points.
Answer:
-1
Step-by-step explanation:
The y-intercept is the point when the x-value is zero. If this graph is going by ones, it would be -1. In other words, the y-intercept is the dot that is on the y line.
Answer: -1
Reason: So, on the Y-axis on the graph, only one point is actually touching that. That point is -1. Thus with thus information, we can assure that it's -1. I hope I didn't confuse you.
I hope this helps, and Happy Holidays! :)
A lost turtle - swimming 13 feet below the surface of the water - begins to ascend at 0.5 foot per second. In hopes of (harmlessly) capturing the turtle, a diver jumps into the water to a depth of 4 feet before descending at a rate of 0.25 foot per second.
a) Write an equation to model the position of the turtle at any given time.
b) Write an equation to model the position of the diver at any given time.
c) After how long will the diver be able to catch the turtle?
d) At what depth will the diver be able to catch the turtle?
9514 1404 393
Answer:
a) T(t) = -13 +0.5t
b) D(t) = -4 -0.25t
c) 12 seconds
d) 7 feet
Step-by-step explanation:
a) The turtle starts at -13 feet and increases its elevation relative to the water's surface by 0.5 ft/second. After t seconds, the turtle will be 0.5t feet closer to the surface, so its depth will be ...
T(t) = -13 +0.5t
__
b) The diver starts at -4 feet and decreases their elevation relative to the water's surface by 0.35 ft/second. After t seconds, the diver will be 0.25t lower than the initial position, so their depth will be ...
D(t) = -4 -0.25t
__
c) The diver and turtle will be at the same depth when ...
T(t) = D(t)
-13 +0.50t = -4 -0.25t
0.75t = 9 . . . . . . . . . . . . add 13+0.25t
t = 12 . . . . . . . . . . . . . . . divide by 0.75
The diver and turtle will be at the same depth after 12 seconds.
__
d) That depth will be ...
T(12) = -13 +0.5(12) = -13 +6 = -7
The diver and turtle meet at a depth of 7 feet.
Mr. Jamison will stain the deck in his backyard, the deck has an area of 752.4 sqaure feet. If the deck is 33 feet long how wide is it? Justify your procedure.
answer:The width of the deck is 22.8 feet.
Step-by-step explanation:
Since we have given that
Area of the deck = 752.4 square feet
Length of deck = 33 feet
Let width of deck be 'x'.
Since Deck is in the shape of rectangle.
As we know the formula for "Area of rectangle ":
\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}
Area=Length×width
752.4=33×x
33
752.4
=x
22.8=x
Hence, the width of the deck is 22.8 feet.
16). The sales tax rate in Jan’s town is 7.5%. If she buys 3 lamps for $23.59 each and
a sofa for $769.99, how much sales tax does she owe?
A. $58.85
B. $63.06
C. $67.26
D. $71.46
Please answer right
Answer:
B 63.06
Step-by-step explanation:
23.59 x 3 = 70.77
7.5% x 70.77 = 5.31
7.5% x 769.99 = 57.75
57.75 + 5.31 = 63.06