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3 years ago

What is the value of x ? 6.75 + 3/8x = 13 1/4

Mathematics

1 answer:

Bad White [126]3 years ago

7 0

Let's solve your equation step-by-step.

6.75+38x=1314

Step 1: Simplify both sides of the equation.

38x+6.75=534

Step 2: Subtract 6.75 from both sides.

38x+6.75−6.75=534−6.75

38x=132

Step 3: Multiply both sides by 8/3.

(83)*(38x)=(83)*(132)

x=523

Answer:

x=1713

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3 years ago

What is the formula for a Arithmetic series and how can you use it in a practical situation? Show explanation!

SVETLANKA909090 [29]

A finite geometric series is that where the consecutive terms have a fix ratio.

Call r the ratio, An the nth term and An+1 the next term to n, then:

An+1 / An = r

For example, the geometric series, 1, 3, 9, 27, 81, ..

You can verify that

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So, the formula is An+1 = An * r, so if you know the first term you can find any other term.

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From this you can also see this valid formula:

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3 years ago

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how

Schach [20]

Answer:

3/2π and π/480

Step-by-step explanation:

The question given says that the minute hand on a clock moves through complete circle in 1 hour, that is 360° or 2π. It also says that the hour hand moves through 1/12 of a circle, that means 30° or π/6.

To know how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m, it's necessary to calculate how many radians move them per minute.

Between 1:00 p.m. and 1:45 p.m 45 minutes have passed. With that information, the radians can be calculated using multiplication and division.

Minute hand: To know how many radians move the minute hand per minute division wil be used.

Movement in an hour/ minutes in an hour

2π rad/60 min= π/30 rad-min

That means the minute hand move π/30 radians in a minute.

Now, multiplication can be used to calculate how many radians move the minute hand in 1h.

(π/30 rad-min)(45 minutes)= 3/2π rad

The minute hand moves 3/2π radians between 1:00 p.m. and 1:45 p.m.

Hour hand: To know how many radians move the hour hand per minute division wil be used.

Movement in an hour/ minutes in an hour

2π rad/(60 min x 12 hours)= π/360 rad-min

That means the minute hand move π/360 radians in a minute.

Now, multiplication can be used to calculate how many radians move the hour hand in 1h.

(π/360 rad-min)(45 minutes)= π/8 rad

The minute hand moves π/8 radians between 1:00 p.m. and 1:45 p.m.

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