solve for x: 27=17+2x

The distance between -15 and 20 on the number line is 35 units, calculated by taking the absolute difference between the two numbers.

The distance between two points on a number line can be found by taking the absolute difference between those points. To find the distance between -15 and 20, you subtract the smaller number from the larger one and take the absolute value:

|20 - (-15)| = |20 + 15| = |35| = 35

Therefore, the distance between -15 and 20 is 35 units.

Isolate the y. Note the equal sign. What you do to one side, you do to the other. Subtract 4.58 form both sides

4.58 (-4.58) + y = 2.5 (-4.58)

y = 2.5 - 4.58

y = -2.08

-2.08 is your answer

hope this helps

N= (3×5²×X³)

N = 75 * X³

N = 75 X³

Comment.

Just write out all the factors.

N = 3*5*5 * x*x*x

Note that the "x"s don't combine with anything but themselves. The numbers do.

3*5*5 = 75

N = 75 * x³    Answer

This is a great life skill to learn and something you will use everyday.  To find tax, multiply the cost by the tax rate as a decimal.  Here is how it is done:

cost: $85

tax rate: 9%=0.09 as a decimal

85 times 0.09= 7.65

You will pay $7.65 in taxes on the new cell phone.

Answer:

7.65

Step-by-step explanation:

just did the lesson

Answer:

The answer is A.

Step-by-step explanation:

When I had these kinds of problems, I'd count how many negatives there were. If there more or less negatives to positives, then it is negative. If there's the same amount of positives and negatives, then it's positive since they cancel out! The answer to this is A. (-2)(-4)(8)(-1)=-64.

In mathematics, the product −2⋅(−4)⋅8⋅(−1) is negative. This occurs because it has an odd number (three) of negative numbers being multiplied, leading to a negative product. The other options will give either a positive product or zero.

In the realm of mathematics, when we multiply equal numbers of positive and negative values, we arrive at positive products. However, when we multiply an unequal number of positive and negative values, the product is negative. Let's apply this rule to the given products:

Among the provided choices, only the first product, −2⋅(−4)⋅8⋅(−1), will yield a negative product.

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7x + 8 = 120

Subtract 8 from both sides.

7x = 112

Divide both sides by 7.

x = 16

Hey there!!

Given equation :

... 4x² ( -3x )

... We know, 4 times -3 would be -12 and x² times x would be x³.

Hence,

the answer of 4x² × -3x is

... -12x³

Hope my answer helps!!

Answer:

Answer:

I believe it is 3/13

Im not sure...

Correct Me if im wrong...

false

hope this helps :)

Step-by-step explanation:

1.) The average nightly ticket sales can be calculated as

Average sales = Average no. of customers per night x Charge per ticket

For the second night, we have

$1750 = (N)($7)

This gives us N = 250.

So, the average number of customers decreased as a result of the price increase.

To calculate the percentage change, we use the following formula:

% change = [tex]\frac{250 -300}{300} X 100[/tex]

We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.

2.) % change in prices = [tex]\frac{Final price - Initial price}{Initial price} X100[/tex]

Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.

3.) Elasticity of Demand = [tex]\frac{ percentage change in quantity demanded}{percentage change in price}[/tex]

Hence, we have [tex]\frac{-17}{40}[/tex] = -0.425

This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.

4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.

Answer: Number of children is 5268

Step-by-step explanation:

Since we have given that

The ratio of men to women to children is given by

17:9:12

So,

Number of men be 17x

Number of women be 9x

Number of children 12x

According to question, we have there are 3512 more men than women ,

so,

[tex]17x-9x=3512\\\\8x=3512\\\\x=\frac{3512}{8}\\\\x=439[/tex]

So, Number of children is given by

[tex]12x=12\times 439=5268[/tex]

The number of children who attend the game are:

                   5268

The ratio of number of men to number of women to the number of children is given by:

           17:9:12

Let x be a constant such that we may define:

Number of men are: 17x

Number of women are: 9x

and the number of children are: 12x

There are 3512 more men than women.

This means that:

        17x-9x=3512

i.e.    8x=3512

i.e.  x=439

Hence, the number of children who attend the game are:

           12x=12×439

               = 5268

Answer:D

Step-by-step explanation:

14 is a multiple of 7 and 14.

It is also the least common multiple of 7 and 14.

14 is a multiple of 7 and 14

The statement that "14 is a multiple of 7 and 14" is accurate because 14 can be evenly divided by both 7 and 14. A multiple of a number is the result of multiplying that number by any integer. In this case, 7 multiplied by 2 equals 14, making 14 a multiple of 7. Similarly, 14 multiplied by 1 equals 14, making it a multiple of itself.

Regarding the claim that "14 is the least common multiple of 7 and 14," it is actually incorrect. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. In this case, the LCM of 7 and 14 is 14, not 14 itself.

The correct statement would be that 14 is a common multiple of 7 and 14, but it is not the least common multiple. The LCM is the smallest positive integer that is divisible by both numbers, and in this case, it is 14.

To learn more about multiple

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Answer: The values of the function V(x) over the domain (2, 5, 7) are 17881.66, 12,606.01 and 9985.224.

Explanation:

The cost of car is $22575 and the value of car depreciate at a rate of 11% per year.

The value of car can be modeled by the equation,

[tex]V(x)=22,575(0.89)^x[/tex]

Where is number of years after purchase of car or the age of car. We have to find the value of the function over the domain (2,5,7), so put x=2,

[tex]V(x)=22,575(0.89)^2=17881.66[/tex]

It means the value of car will be $17881.66 after two years.

put x=5,

[tex]V(x)=22,575(0.89)^5=12,606.01[/tex]

It means the value of car will be $12,606.01 after five years.

put x=7,

[tex]V(x)=22,575(0.89)^7=9985.224[/tex]

It means the value of car will be $9985.224 after seven years.

When rotating a figure in the first quadrant 180 degrees clockwise, the x-coordinates and y-coordinates of the points are negated.

When an object in the first quadrant is rotated 180 degrees clockwise, its position is reflected across both the x-axis and y-axis. This means that the x-coordinates are negated and the y-coordinates are also negated.

For example, if a point A is located at (3, 4) in the first quadrant, after rotating it 180 degrees clockwise, it will be reflected across the x-axis and y-axis to the position (-3, -4).

Therefore, all points in the figure will have their coordinates negated when rotated 180 degrees clockwise in the first quadrant.

Answer:

Colton will rake and fill [tex]\frac{237}{5}[/tex] bags of leaves.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that Colton can rake [tex]\frac{79}{10}[/tex] bags of leaves each hour.

2. Then, to calculate the amount of bags of leaves that he will rake and fill in 6 hours (which you can call [tex]x[/tex]), you must multiply these hours by the amount of bags he can rake in 1 hour:

[tex]x=(6)(\frac{79}{10})\\x=\frac{474}{10}[/tex]

3. Simplify:

[tex]x=\frac{237}{5}[/tex] bags of leaves.

Colton can rake and fill 47.4 bags of leaves in 6 hours.

The student has asked how many bags of leaves Colton can rake in 6 hours if he can rake 79/10 bags of leaves each hour. To find the total bags Colton can rake, we need to multiply the number of bags Colton can rake per hour by the total number of hours he works. Here is the calculation step-by-step:

Therefore, Colton can rake and fill 47.4 bags of leaves in 6 hours.

4+2=6 then you bring the 6 to the other side so you have combine like terms. 6-6=0 so its 0

A = 36

Check:

6 = 36/4 + 2

6 = 36/ 6

6 = 6 (True)

If you set up a proportion, this will make sense.

[tex]\frac{6}{1}= \frac{12.5}{x}[/tex]

Now, Cross Multiply

6x = 12.5

x = 25/12

$22.25 will be your answer for this one

Answer:

Your answer will be 22.25 because 0.89 times 25 equals that

Step-by-step explanation:

-1  1/64

Hope that helps!!

[tex]- \frac{65}{64}[/tex] as a mixed nombre, The correct answer is [tex]-1 \frac{1}{64}[/tex]

[tex]f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12[/tex]

16 and 9 since 16 - 9 = 7

Yes it is.

-3(-3)^2 = -27

-3(9) = -27

-27 = -27

Answer:

The numbers are 1, 2 ,3, 4, 5 and 6.

Therefore 4 of the 6 numbers are greater than 2 so the probability is 4 out of 6 or 2/3.

Step-by-step explanation:

The question relates to probability while rolling a six-sided die for a number greater than 2. There are four favorable outcomes; 3, 4, 5, or 6. Therefore, the probability of this event is 4/6 or 2/3.

The question you asked pertains to the concept of probability, specifically within the context of a fair, six-sided die. In this experiment, there are 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6. When asked for the probability of rolling a number greater than 2, the outcomes we consider favorable are 3, 4, 5, and 6. That's 4 favorable outcomes. So, to calculate the probability of this event, you must divide the number of favorable outcomes by the total number of possible outcomes. Thus, the probability of rolling a number greater than 2 on a six-sided die is 4/6 or reducing to its simplest form becomes 2/3.

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Hello...

The sum of twice a number six is the same as three subtracted from the number itself.

Answer - 2x + 6 = 3 - x

The first equation is open, since it has an unsolvable variable. 1x could be anything!

The second equation is false, because 20 - 11 = 9    not 11.

The last equation is true,  7 + 10 does equal 17!

1x + 4 = 10

x = 10 - 4

x = 6 (true)

--------------------

20 - 11 = 11

20 - 11 = 9 (false)

-----------------------

7 + 10 = 17 (true)

The answer would be -9/11 because since the denominator is the same, we can ignore it for now. Just add -4 and -5, you get -9. Finally, add the denominator of 11 back to get the answer