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1 year ago

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Valery spent 1/5 of her money buying 8 pencils and 2 markers. Each marker cost twice as much as each pencil. She used 58 of her

remaining money buying more markers. How many markers did Valery buy in all?

1 answer:

vovangra [49]1 year ago

4 0

1/10 and his Valero in all is 2862

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Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is highe

Alex

Answer:

a rotation about point H

Step-by-step explanation:

i just took the test

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1 year ago

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Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre

Oksi-84 [34.3K]

Answer:

Andre subtracted 3x from both sides
Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

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<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

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<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

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1 year ago

Find the 89th term of 25,35,45

MAXImum [283]

Answer:

The 89th term would be 895.

Step-by-step explanation:

There is a pattern of adding 10 each time. Notice that the 5 at the end doesn't change and that the first number continues (i.e. 2, 3, 4, 5, 6). All you have to do is add an 89 in front of the 5 and that is your answer, 895.

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1 year ago

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Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by

bulgar [2K]

Answer:

a. Mean doesn't change.

b. Median doesn't change.

c. Mode can change.

Step-by-step explanation:

Let us assume the data set with 10 observations

{2,6,4,3,2,6,4,9,4,7}.

Arranging data set in ascending order

{2,2,3,4,4,4,6,6,7,9}

mean=2+2+3+4+4+4+6+6+7+9/10=4.7

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Mode

The most repeated value is 4. So, mode is 4 for assumed data.

Increasing highest value by 10 and decreasing lowest value by 10

{-8,2,3,4,4,4,6,6,7,19}

a.

mean=-8+2+3+4+4+4+6+6+7+19/10=4.7

Mean doesn't change

b.

median

n/2=10/2=5 is an integer so,

median= average of n/2 and n/2 +1

median= (5th value+6th value)/2

median=(4+4)/2=8/2=4

Median doesn't change

c.

Most occurring value is still 4. But mode can change if the value the highest value becomes most concurring value.

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2 years ago

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How many possible values for y are there where y = cos^-1 0?

Arada [10]

Possible values for y are<u> infinite</u>

<h3>Further explanation </h3>

Trigonometry is the science of mathematics that studies the relationship between sides and angles in triangles

Given special angles of trigonometric functions, for example

$\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.$

In the trigonometric function equation y = cos⁻¹ 0, then the value of y can be determined:

y = cos⁻¹0

y = arc cos 0

cos y = 0

Then the value of y :

$\displaystyle \frac{\pi }{2},\frac{3}{2}\pi,\frac{5}{2}\pi , etc$

Or can be formulated :

$\displaystyle y=\frac{\pi }{2} (2n-1)$ ⇒ y: arithmetic sequence

So there are infinite values for y

<h3>Learn more</h3>

trigonometric identities

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Keywords: trigonometric, infinite values,arithmetic sequence

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2 years ago

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