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Irina-Kira [14]
3 years ago
5

The opposite process rule says to solve for ________. a known variable by replicating the process used to form the original equa

tion an unknown variable by reversing the process used to form the original equation an unknown variable by replicating the process used to form the original equation a known variable by reversing the process used to form the original equation
Mathematics
1 answer:
ioda3 years ago
4 0

Answer:

An unknown variable by reversing the process used to form the original equation.

Step-by-step explanation:

The opposite process rule says to solve for - an unknown variable by reversing the process used to form the original equation.

If an equation indicates an operation such as addition, subtraction, multiplication, or division, solve for the unknown variable by using the opposite process.

For example:

Lets say we have to find x+25=35

Here 25 is subtracted from both sides of the equation to isolate x.

x+25-25=35-25

we get x = 10

Check this : 10+25=35

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40 centimetres to inches​
Agata [3.3K]

Answer: 40 centimeters is 15.748 inches.

Step-by-step explanation:

To start things off, a centimeter is equal to about 39.37 inches. If you want to know how to multiply a centimeter to get an inch, just multiply the quanity in centimeter by 0.39370078740157 or into smaller terms, 39.37. By doing so, you will get the answer, 15.748 inches by multiplying by centimeters.

5 0
3 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
A discount voucher offering 15% off is used to pay a bill. After using the voucher, the bill is reduced to £36.72.
Elena-2011 [213]

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve  for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

3 0
3 years ago
Read 2 more answers
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
Shtirlitz [24]

Answer:

Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

<u><em>Let </em></u>\mu<u><em> = mean power consumption of microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W  

Alternate Hypothesis, H_A : \mu > 250 W    

Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0
3 years ago
The area of a square is 64n^36 square units. what is the side length of one side of the square
sesenic [268]
Area = (side length)^2

Here,
 64n^36 = s^2.  Take the sqrt of both sides, obtaining 8n^18 = s.  This is the principal square root.  We use this positive quantity because the measure of side length must be positive.

8 0
3 years ago
Read 2 more answers
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