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iris [78.8K]
3 years ago
14

Help me solve these two questions please!

Mathematics
1 answer:
ozzi3 years ago
5 0
They are simple linear equations with one unknown, lets tackle them, one step at the time solving for the unknown:
4x - 2(x - 5) = x + 13
4x - 2x + 10 = x + 13
2x + 10 = x + 13
2x - x = 13 - 10
x = 3
that is the solution.

3(6 - x) - 4 = 5x + 2(7x + 3)
18 - 3x - 4 = 5x + 14x + 6
14 - 3x = 19x + 6
14 -  6 = 19x + 3x
8 = 22x
x = 8/22 = 4/11
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Which pair of sneakers has the lowest sale price? 15% off $30 20% off $35 10% off $29 30% off $38
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15% off $30..................
4 0
4 years ago
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Ts Which conclusions can you draw from the data shown<br> in the table? Select all that apply.
timama [110]

Answer:

Twelve tickets cost $30.00

Step-by-step explanation:

7 0
3 years ago
Please help<br>mathematics ​
fomenos
<h3>Given:</h3>
  • Trapezium
<h3>To find:</h3>
  • Length of BC
  • Value of "x"
<h3>Solution:</h3>

We can divide the given shape into a triangle and a rectangle.

We'll have to use Pythagoras Theorem.

\large\boxed{Formula:{a}^{2}={b}^{2}+{c}^{2}}

In this question we have to find the hypotenuse so we'll have to add.

Let's substitute the values according to the formula.

BC= {6}^{2}+{7}^{2}

BC= 85

BC =  \sqrt{ 85}

\boxed{BC=9.22 \: cm}

Now, we can find the value of "x"

  • Adjacent= 7 cm
  • Opposite= 6 cm
  • Hypotenuse= 9.22 cm

We can use any one from SOHCAHTOA.

Here I'm using tan.

\large\boxed{Formula: tan(a)= \frac{opp}{adj}}

Let's substitute the values according to the formula.

tan \: x= \frac{6}{7}

We'll have to use tan inverse.

x= {tan}^{-1}(\frac{6}{7})

\boxed{x=40.6°}

4 0
3 years ago
Read 2 more answers
The equation d=11cos(8pi/5 t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the cente
charle [14.2K]

Answer:

The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Step-by-step explanation:

Given the equation

d = 11cos( \frac{8\pi}{5}*t)-----------Equation 1

where d, in inches of the pendulum of a grandfather clock from the center.

Comparing with the standard equation of an oscillating pendulum bob.

d = Acos (wt + \alpha ) ----------Equation 2

         where ω =  angular velocity

                     t =  time taken

                     α =  The angular displacement when t = 0

Comparing equation 1 and 2,

α = 0

w =\frac{8\pi }{5}

Recall that w = 2\pi fTherefore,[tex]2\pi f = \frac{8\pi }{5} \\\\f = \frac{4}{5}[/tex]

f = 0.8 Hertz

Recall that f = \frac{1}{T}

T = \frac{1}{0.8}

T = 1.25 seconds

Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

5 0
3 years ago
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Yolanda wants to complete the 50-mile biathlon in 5 hours. she gets her jogging rate up 6 miles/hour and her biking rate up to 1
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Let x be the number of hours she jogs, and y be the number of hours she bikes.
The total time would then be x + y = 5
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Subtract this from the second equation to get 6y = 20
y = 10/3 or 3 1/3
Substitute this value back into the first equation to get x = 5/3 or 1 2/3
Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.
6 0
4 years ago
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