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Fynjy0 [20]
3 years ago
9

5x + 5 – 3x = 14 – 2x + 7 + 8x

Mathematics
2 answers:
kap26 [50]3 years ago
8 0
5x-3x+2x-8x=-5+14+7
-4x=16
x=-4
o-na [289]3 years ago
5 0
5x+5-3x=14-2x+7+8x -8x -8x ------------------------------ -3x+5-3x=14-2x+7 -5 -5 ------------------------------- -3x-3x=14-2x+2 -6x=16-2x ---------------------- -6x=16-2x +2x +2x ---------------------- -4x=16 --- --- -4 -4 x= -4
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If the mountain is 1,200 feet tall, find the length of the ski lift
Nina [5.8K]
The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
7 0
2 years ago
Luke’s basketball team went to an amusement park at the end of the season. The cost of the admission for 5 coaches and 12 player
Finger [1]

Answer:

The admission cost for each player was <u>22.50</u>.

Step-by-step explanation:

Given:

Luke’s basketball team went to an amusement park at the end of the season.

The cost of the admission for 5 coaches and 12 players was 407.50.

The admission cost for each coach was 27.50.

Now, to find the admission cost for each player.

Total admission cost = 407.50.

Number of coaches = 5.

Admission cost for each = 27.50.

So, the cost of admission of all coaches:

27.50\times 5

=137.50.

Then, we deduct the cost of admission of all coaches from the total admission cost:

407.50-137.50

=270.

<em>Remaining cost = 270.</em>

Number of player = 12.

Now, to get the admission cost for each player we divide the remaining cost  by number of players:

270\div 12

=22.50.

Therefore, the admission cost for each player was 22.50.

7 0
3 years ago
If two thirds of a number decreased by 20 is 40, what is the number
oee [108]

Answer:

The unknown number is 90

Step-by-step explanation:

This question requires a good understanding so as to interprets it well

And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better

So back to the question,let the unknown number be x

And two thirds of the unknown number is 2/3x

2/3x was decreased by 20 which can be written as 2/3x-20

And this decrease gives 40

That's,2/3x-20=40

Then go ahead to solve the question

Start by finding the LCM and the LCM is 3

2x-60/3=40

Cross multiply

2x-60=40×3

2x-60=120

Collect like terms by adding 60 to both sides

2x=180

Divide both sides by 2

x=90

Therefore the final answer is 90

8 0
3 years ago
A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. If the wheel rotates 15 time
Oksi-84 [34.3K]
To fint the length first one must find circumference to do that we use the formula D*Pi (diameter times Pi. Diameter = 8 Pi is the constant of 3.1415
so. 8*3.1415 = appox 25.1327. cow that we have  circumference we should multiply by the amount of times the wheel rotates (15)
so. 15*251327 = appox 376.9911in now convert to feet. 12 in = 1 foot so divide by 12
so 376.9911 / 12 = about 31.4
round down to 31 feet
8 0
3 years ago
PLEASE HELP ME QUICKLY!!! Given that N:{1,2,3,5,8,13} and M:{−9,−8,−6,−4,−2,4}, which statements about N and M are true?
Lelechka [254]

Answer:

The intersection of N and M contains only those elements that are in both N and M.

The intersection of N and M is ϕ.

​N∩M=∅

Step-by-step explanation:

Given

M = { 1, 2, 3, 5, 8, 13}

N = {-9, -8, -6, -4, -2, 4}

Now let us see each statement one by one.

The intersection of N and M contains only those elements that are in both N and M.

The statement is true because by definition intersection of two sets consists of common elements of both sets.

The intersection of N and M is ϕ.

The statement is true. As there is no common element in both sets.

The intersection of N and M is {−9,−8,−6,−4,−2}.

The statement is false because there is not common element in M and N.

N∪M=∅

The statement is false as the union consists of elements of both sets so it can't be empty.

​N∩M=∅

True. Because no common element so intersection will be an empty set..

4 0
3 years ago
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