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2 years ago

Solve the proportion. 2/3/4 = 10 LO x = [?]

Mathematics

1 answer:

Setler79 [48]2 years ago

8 0

Answer:

x = 6

Step-by-step explanation:

We want to find x,

$\frac{3}{5} = \frac{x}{10}$

to get x alone, we multiple both side by 10

$\frac{3}{5} * 10 = \frac{x}{10} *10$

$\frac{30}{5} = x$

30 divided by 5 is 6

Check:

We can see that 5 x ____ = 10 where ____ is 2

5 x 2 = 10

so 3 x 2 = 6

Learn more about Equivalent Fractions here: brainly.com/question/1612

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2yx3x+46 can some help me please

const2013 [10]

2y*3x+46
3x+46=2y
(3x+46)/2=y
3/2x+23=y
y=3/2x+23

4 0

4 years ago

A blind man wanders under a door into an empty room. After running into the walls repeatedly for a while, it stops to think and

Nostrana [21]

From the side where the man is located in the 10' by 12' rectangular room, we have;

A) 0.046

B) The average time to escape in first attempt is approximately 605.02 seconds

<h3>Which concept can be used to find the odds and time of escape?</h3>

A) From The given diagram, we have;

Width of the door = 10 - 6 - 2 = 2

Therefore, the door is 2 feet wide

Distance, d1, from the man to the side of the door closer to him is given by Pythagorean theorem as follows;

d1 = √(6² + 7²) = √(85)

From the furthest side of the door to the man, we have;

d2 = √(7² + 8²) = √(113)

According to the law of cosines, we have;

2² = 85+113 - 2×√(85)×√(113) cos(A)

Where angle A is the angle formed by the lines from the man to the closer and farther sides of the door.

2×√(85)×√(113) cos(A) = 85+113 - 2²

A = arccos((85+113 - 2²)/(2×√(85)×√(113)))

A = arccos (194/(2×√(9605)) ≈ 8.213°

The angle of the possible directions in which the man can turn is 180°.

Therefore;

The probability, P(E), of escaping in the first move is therefore;

P(E) = 8.213°/180° ≈ 0.046

B) Given that the man escapes in the first move, the shortest and longest distances the man moves are;

d1 = √(85) and d2 = √(113)

Speed of the man, v = 0.5 cm/sec

Therefore by unit conversion function of a graphing calculator;

v = (25/1524) ft./sec

The times taken are;

t1 = √(85)/(25/1524) ≈ 562.023

t2 = √(113)/(25/1524) ≈ 648.014.

Average time, t = (t1 + t2)/2

Which gives;

t = (562.023 + 648.014)/2 ≈ 605.02

The average time it takes the man to escape in first move is t ≈ 605.02 seconds.

Learn more about Pythagorean theorem and probability here:

brainly.com/question/27180985

brainly.com/question/654982

brainly.com/question/24756209

#SPJ1

3 0

1 year ago

How do I figure out 1b?

taurus [48]

300/5= 60
60x4(children)=240
240 seats will be for children and 60 seats for adults.

4 0

3 years ago

HELP ME HELP ME PLEASE

lina2011 [118]

Answer:

11126

Step-by-step explanation:

The mean of a set of data is another name for its average. It is the sum of the data, divided by the number of numbers in the sum.

If you use a calculator to help you with the computation of the addition or division, you may as well use the calculator's "mean" function to do the job.

The mean of the given 6 values is their sum, divided by 6. The units of the mean are the same as those of the contributors.

(1117 +1409 +675 +536 +1398 +1621)/6 = 6756/6 = 1126 . . . . degrees F

The mean of the data is 1126 °F.

6 0

2 years ago

Read 2 more answers

Use the graphs of f(x) = 2

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

The solution to f(x) = g(x) occurs where the two graphs cross. That's at the point (-2, -1).

Answer A.

7 0

3 years ago