First multiply all the items up with their correct prices.
5 Golf Clubs = 18.65 each
5 x 18.65 = 93.25
60 Golf Balls = 16.50 per dozen
60 = 5 dozen
5 x 16.50 = 82.5
1 pair of golf shoes = 75.80
1 x 75.80 = 75.80
Now, add them all up.
93.25 + 82.5 + 75.80 = 251.55
Lastly, multiply by 1.15 to add the 15% sales tax.
251.55 x 1.15 = 289.28
Thus, the total cost of all the equipment with tax is $289.28
Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10
Answer:
The speed of one plane = 257.5 miles per hour
And speed of second plane = 332.5 miles per hour
Step-by-step explanation:
We have given,
Distance between two cities = 960 miles
Two planes are flying towards each other.
Let the speed of one plane be x.
Then,
Speed of second plane = x+75 {Following this "one of the planes' speed exceeds the other by 75 mph"]
After 1.5 hours they are still 75 miles apart.
i.e Relative distance between two planes = Relative speed of plane × Time
Here
relative speed = x + (x+75) , and relative distance left to cover = 960-75.
i.e
(960 - 75) = {x+(x+75)}×1.5
885 = (2x+75)×1.5
or 
or 590-75 = 2x
or 515 = 2x
or x = 
= 257.5
Hence the speed of one plane = x = 257.5 miles per hour
And speed of second plane = (x+75) = 257.5 + 75 = 332.5 miles per hour
Answer:
4s+14t
Step-by-step explanation:
2*[(s+5t)+(s+2t)]
=2*(2s+7t)
=4s+14t
F(x) will = 0 when either x = 0 or x = 8. Here's how you know.
if x = 0 then 0 * (x - 8) = 0 because anything multiplied by 0 is zero.
if x = 8 then 8 * (8 - 8) = 8 * 0 = 0
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