3 x +11 = 10 Does this problem have one, many, or no solutions?

Answers

Answer 1

Answer: it has just one solution and dats elimination method

Answer 2

Answer: one

3x+11=10
minus 11 both sides
3x=-1
divide by 3 boths ides
x=-1/3
one solution

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Rosa read 10 pages of a book on monday. She read 1/3 of the remainder on tuesday. If she still had 24 pages to read, how many pages were there in the book

Answers

The total pages in the book are 46.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Rosa read 10 pages of a book on Monday. She read 1/3 of the remainder on Tuesday, and she still had 24 pages to read,

Let the total number of pages be x,

Establishing the equation, we get,

10+(x-10) / 3+24 = x

30 + x - 10 + 72 = 3x

92 = 2x

x = 46

Hence, The total pages in the book are 46.

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Answer:

There are 46 pages in the book.

Step-by-step explanation:

if she already read 10 pages of the book and the remainder is split into 3rds and she already read 1/3 of the book then the 24 pages get divided by the 2/3 left which equals 12 so each third is 12 pages so 12 x 3 = 36 + 10= 46

There are 46 pages in the book.

What is the median of the data set?

{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}

Answers

The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.

Solve -3/5y=-9
What does y=?

Answers

Answer:

Step-by-step explanation:

3/5

Mr. Smith went to buy a refrigerator. He had $346. The refrigerator cost $783.Part A
About how much more money does Mr. Smith need in order to buy the refrigerator?
Round your answer to the nearest hundred dollars.
Part B
After visiting the bank ,Mr.Smith paid $800 for the refrigerator.How much change did he receive Mr.Smith receive in change ?

Answers

Answer:

Part A- $400

Part B- $17

Step-by-step explanation:

Answer:

A- 400.00 more dollars.

B- 17 dollars in change.

Step-by-step explanation:

783-346 and then round up.

800-783 for change

Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?

Answers

The angle of depression is the angle between the line of sight and a vertical line.

The distance between the two skyscrapers is 1269ft

I've added as an attachment, a figure that illustrates the scenario

First, we calculate distance AB using the following tangent ratio

$\mathbf{\tan(\theta) = (Opposite)/(Adjacent)}$

So, we have:

$\mathbf{\tan(60) = (AB)/(1250)}$

Make AB the subject

$\mathbf{AB = 1250 * \tan(60)}$

Next, we calculate distance AC using the following tangent ratio

$\mathbf{\tan(\theta) = (Opposite)/(Adjacent)}$

So, we have:

$\mathbf{\tan(60+10) = (AB + BC)/(1250)}$

$\mathbf{\tan(70) = (AB + BC)/(1250)}$

Make AB + BC, the subject

$\mathbf{AB + BC = 1250 * \tan(70)}$

Make BC the subject

$\mathbf{BC = 1250 * \tan(70) - AB}$

Substitute $\mathbf{AB = 1250 * \tan(60)}$

$\mathbf{BC = 1250 * \tan(70) - 1250 * \tan(60)}$

$\mathbf{BC = 1269}$

Hence, the distance between the two skyscrapers is 1269ft

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Answer:

Step-by-step explanation:

$500 principal earning 4% compounded quarterly, after 10 yrCompound Interest Formula: $A = P(1 + (r)/(n))^(nt)$

Answers

The compound interest formula is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, we can plug in the values given in the question to find the final amount earned after 10 years. The principal is $500, the annual interest rate is 4%, which is divided by 4 to get 1% per quarter, the number of times compounded per year is 4, and the time in years is 10. Plugging in these values, we get A = 500(1 + 0.01)^(4*10) = $740.60. Therefore, the final amount earned after 10 years is $740.60.

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