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3 years ago

6/7 (7/6)x=5 (6/7) what is the value of x?

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

x is 30/7

Step-by-step explanation:

You want to isolate x.

First, solve 5 * 6/7. The answer is 30/7.

Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.

Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.

You can plug it back into the equation to check.

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Decide whether the sequence 4,10,20,34,52 ....... is a linear model,

Alecsey [184]

Answer:

Lineal.

Step-by-step explanation:

To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:

4 to 10 = +6

10 to 20 = +10

20 to 34 = +14

34 to 52 = +18

Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.

Therefore, since there is no quadratic or cubic relationship, the sequence is linear.

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2 years ago

The cost for n teachers to attend the technology conference is 3n+5 dollars. What is the cost for 7 teachers to attend

Veronika [31]

If it costs 3n+5, you have to plug 7 in for n and solve. 3(7)+5=26 so $26

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3 years ago

Place the following from last to greatest Square root of 40 Square root of 11 6 5

lidiya [134]

Square root of 11, 5, 6, square root of 40

4 0

3 years ago

Solve: 22,064 ÷ 394=

Kay [80]

Answer: 56

394 goes into 22064 56 times.

5 0

2 years ago

Read 2 more answers

An astronaut drops a rock into a crater of the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

ASHA 777 [7]

The average rate of change of the position of an object with respect to time is the average speed of the object, so to find the average speed of the rock over the interval [5,10], we are going to use the average rate of change formula: $V(t)= \frac{d(b)-d(a)}{b-a}$
where
$V(t)$ is the average rate of change (the speed)
$d(a)$ is the position function evaluated at $a$
$d(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We know for our problem that the first point in the interval is 5 and the second point is 10, so $a=5$ and $b=10$ . Lets replace those values in our formula:
$V(t)= \frac{d(b)-d(a)}{b-a}$
$V(t)= \frac{d(10)-d(5)}{10-5}$
$V(t)= \frac{0.8(10^2)-0.8(5^2)}{10-5}$
$V(t)= \frac{80-20}{5}$
$V(t)= \frac{60}{5}$
$V(t)=12$

We can conclude that the speed of the rock between 5 and 10 seconds is 12 meters per second.

4 0

3 years ago