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2 years ago

Identify the correct solution to the problem 3 x 9/10

1 answer:

3 0

Step by step:

3 x 9/10
Turn 3 into a fraction
3/1 x 9/10
Now multiply straight across
3x9=27 and 1x10=10
So you get
27/10 or 27/10 or 2.7

This can also be completed by simply turning 9/10 into a decimal and doing
3 x 0.9 = 2.7

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Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Basel

Nat2105 [25]

Answer:

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step

That is $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$ Calvin's step is the correct step.Because this is the correct way to do simplify the rational expression. And also because Nadine made a blender mistake in her operations in step

Step-by-step explanation:

Given that Nadine and Calvin are simplifying the expression (StartFraction r Superscript negative 5 Baseline s Superscript negative 3 Baseline Over r Superscript 8 Baseline s Superscript negative 2 Baseline EndFraction) Superscript negative 4

Their expression can be written as below

$(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}$

Nadine's first step is to simplify the expression is to raise the numerator and denominator to the power of 4 to get StartFraction r Superscript negative 20 Baseline s Superscript negative 12 Baseline Over r Superscript 32 Baseline s Superscript 8 Baseline EndFraction

That is $\frac{r^{20}s^{12}}{r^{-32}s^8}$

Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4

That is $r^{-13}s^{-1}$

Now simplify the given expression to check whose step is correct:

$(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}$

$=(r^{-5}s^{-3}r^{-8}s^{2})^{-4}$ ( using the property $\frac{1}{a^m}=a^{-m}$ )

$=(r^{-5-8}s^{-3+2})^{-4}$

$=(r^{-13}s^{-1})^{-4}$

Therefore $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$

Therefore Calvin's first step is to simplify the expression is to apply the quotient of powers to get (r Superscript negative 13 Baseline s Superscript negative 1 Baseline) Superscript negative 4 is the correct step.

That is $(\frac{r^{-5}s^{-3}}{r^8s^{-2}})^{-4}=(r^{-13}s^{-1})^{-4}$ Calvin's step is the correct step .Because this is the correct way to do simplify the rational expression.And also because Nadine made a blender mistake in her operations in step

6 0

3 years ago

Read 2 more answers

What is the distance between the following points?<br> WILL GIVE BRAINLIEST

frutty [35]

Answer:

D.√85

Step-by-step explanation:

We can find the distance between two points using the distance between two points formula

Distance between two points formula:

d = √(x2 - x1)² + (y2 - y1)²

Where the x and y values are derived from the given points

We are given the two points (-2,7) and (7,9)

Using these points let's define the variables ( variables are x1, x2, y1, and y2)

Remember points are written as follows (x,y)

The x value of the first point is -2 so x1 = -2

The x value of the second point is 7 so x2 = 7

The y value of the first point is 7 so y1 = 7

The y value of the second point is 9 so y2 = 9

Now that we have defined each variable let's find the distance between the two points

We can do this by substituting the values into the formula

Formula: d = √(x2 - x1)² + (y2 - y1)²

Variables: x1 = -2, x2 = 7, y1 = 7, y2 = 9

Substitute values in formula

d = √(7 - (-2))² + (9 - 7)²

Evaluation:

The two negative signs cancel out on 7-(-2) and it changes to +7

d = √ (7+2)² + (9-7)²

Add 7+2 and subtract 9 and 7

d = √ (9)² + (2)²

Simplify exponents 9² = 81 and 2² = 4

We then have d = √ 81 + 4

Finally we add 81 and 4

We get that the distance between the two points is √85

5 0

3 years ago

510 boys worked for 12 days and produced 12,000 mat how many boys are needed to produce 10,000 mat in 10 days.

Taya2010 [7]

Answer:

1000 Boys

Step-by-step explanation:

Substitute 510 and Keep on trying numbers untill you reach 10,000 mats in 10 days.

3 0

2 years ago

What factors should be considered in determining the issue price of a debenture

GenaCL600 [577]

Answer:

The rate of interest

The duration of the debenture

The periodic interest payment

Step-by-step explanation:

The issue price of a bond is computed using the excel formula present value,which is given below:

=-pv(rate,nper,pmt,face value)

The rate refers to yield to maturity of the debt instrument.This has impact on how much the debenture is sold,hence the rate of interest to be given to investors would go a long way in determining how much the bond or debenture is sold for.A high credit rating company would pay a minimum yield to maturity while a low credit rating company needs to offer a higher yield so as to encourage investors to take the higher risk of investing in the company.

The length of time is also which is denoted by the nper,the longer the loan would be repaid the higher of uncertainty of the company defaulting in repaying.

The coupon interest payable periodically,annually or semiannually is a also an important factor in determining the price of the debenture

8 0

3 years ago

Hi! I was putting up a test on other people with this question and i wanted to see if anyone solves this correctly? PLEASE ANSWE

djyliett [7]

Answer:

Assuming the shape is a half-circle, there's two right angles.

Step-by-step explanation:

The angle between the straight segment and the half-circle can be measured by taking a tangent line at the intersection point and it will of course be perpendicular to the straight segment, assuming the segment is the diameter of the circle).

7 0

3 years ago