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8090 [49]
3 years ago
15

How do I find the height of this shape?

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0
X(10)(5.75) = 230
Solve for x.
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200 + 10x = 120 + 15x now solve the equation to find x, the number of hours that both companies will charge the same ammount
torisob [31]

Answer:

16

Step-by-step explanation:

Given the equation, 200 + 10x = 120 + 15x, let's solve for x as follows,

Subtract 200 from both sides

200 + 10x - 200 = 120 + 15x - 200

10x = - 80 + 15x

Subtract 15x from both sides

10x - 15x = - 80 + 15x - 15x

-5x = - 80

Divide both sides by -5

\frac{-5x}{-5} = \frac{-80}{5}

x = 16

8 0
2 years ago
I hope its bigger so u can seeeeeeeeeee!!!
Nata [24]

Answers:

Gabe needs 30 liters of the 50% solution

Gabe needs 30 liters of the 70% solution

Both answers are 30

==================================

Explanation:

We have two beakers, each of which we don't know how much is inside. Let's call this x and y

x = amount of liquid in the first beaker (water+acid)

y = amount of liquid in the second beaker (water+acid)

We're told that the beakers have a 50% solution and a 70% solution of acid. This means that the first beaker has 0.5*x liters of pure acid, and the second beaker has 0.7*y liters of pure acid. In total, there is 0.5x+0.7y liters of pure acid when we combine the two beakers. This is out of x+y = 60 liters total, which we can solve for y to get y = 60-x. We will use y = 60-x later on when it comes to the substitution step

We can divide the total amount of pure acid (0.5x+0.7y liters) over the total amount of solution (x+y = 60) to get the following

(0.5x+0.7y)/(x+y) = (0.5x+0.7y)/60

We want this to be equal to 0.6 because Gabe wants a 60% solution when everything is said and done, so

(0.5x+0.7y)/60 = 0.60

0.5x+0.7y = 0.60*60 .... multiply both sides by 60

0.5x+0.7y = 36

0.5x+0.7( y ) = 36

0.5x+0.7(60-x) = 36 ........ replace y with 60-x (substitution step)

0.5x+0.7(60)+0.7(-x) = 36 .... distribute

0.5x+42-0.7x = 36

-0.2x+42 = 36

-0.2x = 36-42 .... subtract 42 from both sides

-0.2x = -6

x = -6/(-0.2) .... divide both sides by -0.2

x = 30

He needs 30 liters of the 50% solution

Use this x value to find y

y = 60-x

y = 60-30

y = 30

So he needs 30 liters of the 70% solution


3 0
3 years ago
A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
How do I solve (7-6i)(-8+3i)?
Alekssandra [29.7K]
I = {2.666666667, 1.166666667
6 0
2 years ago
Read 2 more answers
A cake weighs 225g and is shared equally between five people. what weight of cake does each person receive?
cluponka [151]

Step-by-step explanation:

\frac{225g}{5}  = 45

which means each person receive 45g cake

8 0
2 years ago
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