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3 years ago

F (x + 5) - 2(4x - 1) = 0, what is the value of x?

Mathematics

1 answer:

schepotkina [342]3 years ago

4 0

It is a.1

(1+5) - 2(4(1)-1) = 0

(6) - 2(3) = 0

6 - 6 = 0

0=0

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A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of

lisabon 2012 [21]

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

First term = 65,536

$\texttt{Common ratio = }\frac{1}{2}$

Now we need to find which term is 1 in this GP.

N th term of GP is given by

$t_n=ar^{n-1}$

Substituting

$1=65536\times \left ( \frac{1}{2}\right )^{n-1}\\\\\frac{1}{65536}=\left ( \frac{1}{2}\right )^{n-1}\\\\2^{n-1}=65536\\\\2^{n-1}=2^{16}\\\\n=17$

Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

3 0

3 years ago

The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c

lana66690 [7]

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100 Eqn 1

20x+45y=2600 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600$

Dividing both sides by 25

$\frac{25y}{25}=\frac{600}{25}\\y=24$

Putting in Eqn 1

$x+24=100\\x=100-24\\x=76$

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Please help please please help

arsen [322]

46.19 should be the answer

4 0

3 years ago

Need help on this question

AnnZ [28]

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

6 0

2 years ago

a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse

Sonbull [250]

Answer:

The power of horse is: P = 72000 W

Step-by-step explanation:

Given

F = 1800 N

v = 40.0 m/s

To determine

P = ?

Using the formula

$\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}$

The ⋅ in the formula represents a scalar product, defined by:

$\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta$

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is: P = 72000 W

3 0

2 years ago