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Savatey [412]
3 years ago
11

3(2x + 5) = 2 (x-8)​

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

x = -31/4

Step-by-step explanation:

3(2x+5) = 2(x-8)

or, 6x+15 = 2x-16

or, 6x-2x = -16-15

or, 4x = -31

or, x = -31/4

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Laura sold t-shirts at a festival. She made $4 for each t-shirt she sold. Her expenses were $25. If she made a profit of $71, ho
Mamont248 [21]

Answer:

24 t shirts

Step-by-step explanation:

revenue - expenses = profit

profit = $71

expenses = $25

revenue = money made from t shirts = $4 for each t shirt, x times (she makes $4 for each t shirt and sells x t shirts) = $4 * x

4 * x - 25 = 71

add 25 to both sides to isolate the variable and its coefficient

4x = 96

divide both sides by 6 to isolate x

x = 24

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=2%20%5Ctimes%202" id="TexFormula1" title="2 \times 2" alt="2 \times 2" align="absmiddle" class
Kruka [31]
The answer for this is 4
4 0
3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
A ferry charges $30 per car plus $5 for each passenger in the car.
ad-work [718]
They have to pay the 30$ fee first then it depends on how many people are coming with you
5 0
3 years ago
Read 2 more answers
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
Read 2 more answers
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