Think you can answer this?

Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is

Art [367]

Answer:

Peter's number is 36.

Step-by-step explanation:

If you subtratct 13 from 36, you get 23.

If you multiply that times -3, you get -69.

(The way I got 23 was by dividing -69 and -3)

I hope this helped you even though it's late.

6 0

3 years ago

Help<br><br><br><br><br><br>What should be added to –7mn+2m2+3n2<br><br>to obtain 5m2+2mn-9n2

aalyn [17]

The polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.

<h3>Addition of Polynomials</h3>

Like terms should be combined together when adding polynomials.

Let x represent the polynomial expression that would be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n².

Therefore:

–7mn + 2m² + 3n² + x = 5m² + 2mn - 9n².

x = 5m² + 2mn - 9n² - (-7mn + 2m² + 3n²)

x = 5m² + 2mn - 9n² + 7mn - 2m² - 3n²

Combine like terms together.

x = 3m² - 11n² + 9mn

Therefore, the polynomial to be added to –7mn + 2m² + 3n² to obtain 5m² + 2mn - 9n² is: 3m² - 11n² + 9mn.

Learn more about polynomial on:

brainly.com/question/24662212

6 0

2 years ago

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

fredd [130]

Answer:

0.0322; 0.9929

Step-by-step explanation:

Since the data is normally distributed, we use z scores for these probabilities.

The formula for a z score of a sample mean is

$z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}$

For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.

Using 420 for X,

z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85

Using a z table, we see that the area under the curve to the left of this is 0.9678. However, we want the area to the right, so we subtract from 1:

1-0.9678 = 0.0322

For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.

Using 420 for X, we have

z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45

Using a z table, we see that the area under the curve to the left of this is 0.0071. We want the area under the curve to the right, so we subtract from 1:

1-0.0071 = 0.9929

7 0

3 years ago

3/5 + -1/5 ÷ 1/4 ÷ -1/3

aleksandr82 [10.1K]

Answer:3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfr

maw [93]

The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)

<h3>What is a Common Denominator?</h3>

A common denominator is a factor that is similar to all the fractions in the sequence of equations.

Hence the correct answer is:

(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))

See the correct sequence of steps below:

Step One - the Expression is given as:

(x/(x-3)(x-2)) + (3/(x+3))

Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.

Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)

Step 3 Apply the Law of Multiplicative Distribution:

Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)

Step 4 - Collect Like Items

This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)

Step 5 Sort for like coefficients

This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)

Step 6 - check for the sum or difference

This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)

We simplify and factor the expression to get

(2(2x²-6x+6)/(x-3)(x-2)(x+3).

See the attached for full question.

Learn more about Common Denominators at:

brainly.com/question/542317

4 0

2 years ago