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2 years ago

What is the value of x in the equation 2x + 1/2x + 2(1+x) = 29?

Mathematics

1 answer:

erica [24]2 years ago

5 0

Answer:

Step-by-step explanation:

$2x + \frac{1}{2} x + 2(1 + x) = 29$

Multiply through by 2

That's

$4x + x + 4(1 + x) = 58$

<u>Expand</u>

That's

5x + 4 + 4x = 58

9x = 58 - 4

9x = 54

Divide both sides by 9

That's

$\frac{9x}{9} = \frac{54}{9}$

We have the final answer as

Hope this helps you

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Ryan has a school bag. He has 6 books, of which 2 are math books. What is the probability that a randomly selected book will be

Pavel [41]

1/3

2 of the books are math books and there are 6 books. This is 2/6. Now, divide both sides of the fraction by 2 to simplify it. This gives you a final answer of 1/3.

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2 years ago

What is the gcf of 18 and 9?

Zanzabum

The gcf of 9 and 18 is 18

8 0

2 years ago

Read 2 more answers

The sum of two numbers is 15. Using x to represent the smaller of the two numbers, translate "the sum of twice the smaller numbe

Paladinen [302]

Answer:

Step-by-step explanation: Let x be the smaller and y be the largest number.

Since x+y=13, we deduce y=13-x

Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x

Their sum is y+2+2x

And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x

4 0

7 months ago

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of

Alenkinab [10]

Answer:

The statement that best interprets the z-score is;

D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations

Step-by-step explanation:

The given parameters are;

The length of the gestation period of the cattle breed = 284 days

The standard deviation = 5.5 days

The z-score of one length of gestation period was z = -1.70

The formula for finding the z-score, z is presented as follows

$Z=\dfrac{x-\mu }{\sigma }$

Where;

x = The observed value for the gestation period

μ = The sample mean length for the gestation period = 284

σ = The gestation period standard deviation = 5.5

When Z = -1.70, we have;

$-1.70 =\dfrac{x-\mu }{\sigma }$

∴ x - μ = -1.7 × σ

∴ x is shorter than μ by 1.7×σ

Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.

8 0

2 years ago

Read 2 more answers

a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet lon

Vikentia [17]

(A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
(B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

<h3>What exactly is sines law?</h3>

The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
SinA/a = SinB/b = SinC/c
Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.

So, Part A:

By employing the sines law,

SinA/10 = SinB/13
SinA/10 = Sin50/13
A = 36.10
C = 180-(180-36.10)
C = 93.90

So,

Sin36.10 / a = Sin50/ b = Sin93.90/c
Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
c = Sin93.90 × 13 ÷ Sin50
c = 16.93 ft

Now, Part B:

Area of the mainsail:

= 1/2 × abSinC
= 1/2 × 10 × 13 × Sin93.90
= 64.85

Therefore, the answers to both parts are:

(A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
(B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

Know more about sines law here:

brainly.com/question/27174058

#SPJ4

The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

6 0

1 year ago