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Write an equation that illustrates the following: a number with two decimal places multiplied by a number with one decimal place the product has only 2 nonzero digits.

Answers

Answer 1

Answer:

One of the equation which illustrates and meets the conditions given is :

First number = 1.25
First number = 1.25Second number = 0.2.
Product = 0.25

First number, x = 1.25

First number, x = 1.25 Second number, y = 0.2

Result = first Number × second number

Result = 1.25 × 0.2

Result = 1.25 × 0.2 Result = 0.25

Evaluating the result : 0.25

Number of digits = 3

Non - zero digits = 2

There are several values of x and y which will satisfy the 3conditions given.

Therefore, the product of the values 1.25 and 0.2 gives the required output.

Learn more : brainly.com/question/18109354

Answer 2

Answer:

Answer:

Step-by-step explanation:

Represent the equation as follows:

$a * b = c$

Where a,b and c are decimal numbers

To solve further, we make use of trial by error method

Let

$a = 2.52$

$b = 0.6$

Such that

$2.5 * 0.6 = c$

$1.512 = c$

$c = 1.512$

This set of digits do not follow the rule in the question

Let

$a = 2.55$

$b = 1.6$

$2.55 * 1.6 = c$

$4.08 = c$

$c = 4.08$

The result has only 2 non zeros (4 and 8)

Hence

$2.55 * 1.6 = 4.08$ answers the question.

However, there are other set of numbers that can be used too

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IWhat is the sale price of a stereo that normally sells for $250.00 and is on sale for 10% off?

Answers

Answer:

$225.00

Step-by-step explanation

First, take the percentage and switch it to a decimal. 10%= 0.10

Next, take $250.00 and multiply that by 0.10. 250x0.10=25

Lastly, subtract 25 from 250. 250-25= 225.

So you’re final answer is $225.00 Hope this helped!

Answer:

$225

Step-by-step explanation:

To find the sale price you convert 10% to decimals so that is equal to .10. Then you multiply the .10 by the original price, and that equals $25. After you have to subtract the found price by original price (250-25) then that should give you $225.

the width of a rectangle is fixed at 8ft. what lengths will make the perimeter at least 200 ft at most 200

Answers

it will be 2(1+8)<=200

Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8

Answers

Answer: The required equation of the ellipse in standard form is $(y^2)/(25)+(x^2)/(16)=1.$

Step-by-step explanation: We are given to find the equation of an ellipse in standard form with the vertical major axis of length 10 units and minor axis of length 8 units.

Since the major axis is vertical, so it will lie on the Y-axis. Let the standard form of the ellipse be given by

$(y^2)/(a^2)+(x^2)/(b^2)=1,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where the length of major axis is 2a units and length of minor axis is 2b units.

According to the given information, we have

$2a=10\n\n\Rightarrow a=(10)/(2)\n\n\Rightarrow a=5$

and

$2b=8\n\n\Rightarrow b=(8)/(2)\n\n\Rightarrow b=4$

Substituting the values of a and b in equation (i), we get

$(y^2)/(5^2)+(x^2)/(4^2)=1\n\n\n\Rightarrow (y^2)/(25)+(x^2)/(16)=1.$

Thus, the required equation of the ellipse in standard form is $(y^2)/(25)+(x^2)/(16)=1.$

(x/h)^2+(y/v)^2=1 where h is the horizontal radius and v is the vertical radius

In this question it seem that they are saying the length of the axis and not radius so I would cut them in half so that they are radii...then:

(x/4)^2+(y/5)^2=1

x^2/16+y^2/25=1

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered? Assume that the lifetime of a motor follows a normal distribution.

Answers

Answer:

A guarantee of 6.24 years should be offered.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 10, \sigma = 2$

If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?

The 3rd percentile, that is, the value of X when Z has a pvalue of 0.03. So X when Z = -1.88.

$Z = (X - \mu)/(\sigma)$

$-1.88 = (X - 10)/(2)$

$X - 10 = -1.88*2$

$X = 6.24$

A guarantee of 6.24 years should be offered.

If the first common multiple of two numbers is
6, find the fourth common multiple

Answers

24

6 x 4 = 24

And to check it is safe to assume the two numbers are 2 and 3

2 4 6 8 10 12 14 16 18 20 22 24

3 6 9 12 15 18 21 24

6 is the first common multiple, 12 is second, 18 third and 24 fourth.

A brainliest would be appreciated!!

Hope this helped!

Answer:

The first common number are 2 and 3

their comnon multiple is 6

So, the fourth number will be 24 because

multiple means we should multiply 4*6 it will be 24.

Find the six rational numbers between -4 and 5/4