This is hard for me :(

Answer: A= -3

Step 1: Simplify both sides of the equation.

a−2=

3+6a

3

a+−2=2a+1(Distribute)

a−2=2a+1

Step 2: Subtract 2a from both sides.

a−2−2a=2a+1−2a

−a−2=1

Step 3: Add 2 to both sides.

−a−2+2=1+2

−a=3

Step 4: Divide both sides by -1.

−a

−1

=

3

−1

a=−3

The total surface area of both lake superior and lake Michigan is 53,978² mi.

I used addition to add up the surface area of both lakes.

Final answer:

The total surface area of Lake Superior and Lake Michigan is 53,978 square miles, calculated by adding the surface areas of both lakes using basic arithmetic.

Explanation:

To calculate the total surface area of both Lake Superior and Lake Michigan, you simply add the surface areas of the two lakes together. The surface area of Lake Superior is 31,700 square miles and the surface area of Lake Michigan is 22,278 square miles.

Using addition, the total surface area is calculated as follows:

Lake Superior: 31,700 square miles

Lake Michigan: 22,278 square miles

Total surface area: 31,700 + 22,278 = 53,978 square miles

The strategy or tool used to solve this problem is basic arithmetic, specifically addition. By adding the two areas together, we find that the combined surface area of Lake Superior and Lake Michigan is 53,978 square miles.

Answer: I think the answer is Principal but I'm not too sure

Step-by-step explanation: Principal means denoting an original sum invested or lent.

Answer: it’s principal

Step-by-step explanation: step-by-step

The inequality is [tex]\( S > 2 \),[/tex] indicating the special sundae weighs more than 2 kilograms of ice cream.

Sure, here's a detailed stepwise solution with explanation:

1. **Understand the problem**: We're tasked with writing an inequality that describes the weight  [tex]\( S \)[/tex] of the special sundae in kilograms. The sundae contains over 2 kilograms of ice cream plus any number of toppings.

2. **Define the variables**: Let [tex]\( S \)[/tex] represent the total weight of the special sundae in kilograms.

3. **Write the inequality**: The problem states that the sundae contains over 2 kilograms of ice cream. Therefore, the weight of the sundae [tex](\( S \))[/tex] must be greater than 2 kilograms. This can be expressed as the inequality:

[tex]\[ S > 2 \][/tex]

4. **Explanation of the inequality**:

  - The inequality [tex]\( S > 2 \) indicates that the weight of the special sundae (\( S \))[/tex]  is greater than 2 kilograms.

  - This inequality ensures that the sundae contains more than 2 kilograms of ice cream, as specified in the problem statement.

5. **Conclusion**: The inequality [tex]\( S > 2 \)[/tex] accurately describes the weight of the special sundae, confirming that it contains over 2 kilograms of ice cream plus any number of toppings.

4.836 are you  a boy or not

Multiply all the numbers together to get your answer.

The three numbers are 93,94,95

The three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96

As the term consecutive implies, the numbers who come one after the other are  called consecutive.

In case of consecutive even numbers, those even numbers who are adjacent to each other.

Example: 2,4,6 are consecutive events but 2,6,12 are not as there are events between 2 and 6 and between 6 and 12, so they are not closest to each other.

Let the first even of those three consecutive numbers whose sum is 282 be denoted by [tex]2n[/tex]

Then, we get the rest of the two evens as [tex]2n + 2, 2n+4[/tex]

Since their sum is 282, therefore,

[tex]2n + (2n+2) + (2n+4) = 282\\2n +2n + 2n + 2 + 4 = 282\\6n + 6 = 282\\\\\text{Subtracting 6 from both the sides}\\\\6n = 282 - 6 = 276\\\\\text{Dividing both the sides by 6, we get}\\\\n = \dfrac{276}{6} = 46[/tex]

Thus, the three consecutive evens whose sum is 282 are:

[tex]2n = 2(46) = 92\\2n + 2 = 94\\2n + 4 = 96[/tex]

Therefore, the three consecutive even numbers whose sum evaluates to 282 are 92, 94, and 96

Learn more about consecutive numbers here:

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9(3x + 8) = 180

Distributive property.

27x + 72 = 180

Subtract 72 from both sides.

27x = 108

Divide both sides by 27.

x = 4

The value of x is equal to 4.

Your answer is 2/17. Hope this helps!

Remark

Some calculators will give you the answer directly without any intermediate steps. Just a b/c  key and the * key. Having done that the answer is 2/17

Solution

Doing this by hand can be a bit of trouble. I think the easiest way is to multiply the first and third together and then worry about the middle one.

[tex]\dfrac{2}{3}*\dfrac{1}{4}=\dfrac{2*1}{3*4}=\dfrac{2}{12}=\dfrac{1}{6}[/tex]

now just multiply your answer from the above job with the middle fraction.

[tex]\dfrac{1}{6}*\dfrac{12}{17} =\dfrac{1*12}{6*17}=\dfrac{2}{17}[/tex]

because 12 ÷ 6 = 2

A = 5/6(B + C)

multiply 6 on both sides

6A = 5(B + C)

divide 5 from both sides

6A/5 = B + C

subtract B from both sides

6A/5 - B = C

The solution of the equation for C will be 6A / 5 - B.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

The expression is given below.

A = 5/6 (B + C)

Then solve the equation for C, then we have

6A / 5 = (B + C)

      C = 6A / 5 - B

More about the Algebra link is given below.

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I got the answer 18.79

I believe this is correct, Please tell me if im wrong. :)

0.00486101 is the answer

32 divided by 6583 is approximately 0.0049.

Division is a fundamental arithmetic operation that involves splitting a quantity into equal parts. It is the opposite of multiplication and is denoted by the symbol "/". In division, the number being divided is called the dividend, the number by which it is divided is the divisor, and the result is the quotient. Division helps distribute or share items equally and is crucial in various mathematical and real-life situations.

To find the result of 32 divided by 6583, we divide 32 by 6583. The quotient is the result of the division.

= 32/ 6583

= 0.004864647

Therefore, 32 divided by 6583 is approximately 0.0049.

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Answer:

Speed of Charles = 12 Km per hour

To convert it into meters per minute, we follow the following procedure

1 Km =1000 meter

1 hour = 60 minute

Now 12 Km per hour = [tex]\frac{12\times 1000}{60}[/tex]

    = 12,000 ÷ 60

   = 200 meter per minute

Charles, who runs at a rate of 12 kilometers per hour, runs at a speed of 200 meters per minute when converted using the facts that there are 1,000 meters in a kilometer and 60 minutes in an hour.

The speed of Charles, who runs at a rate of 12 kilometers per hour, can be converted to meters per minute using the fact that there are 1,000 meters in one kilometer and 60 minutes in one hour.

First, convert the distance from kilometers to meters. 12 kilometers is equal to 12,000 meters because one kilometer is equal to 1,000 meters.

Next, since the speed is given per hour and the question asks for the speed in terms of minutes, we need to convert the time component. There are 60 minutes in an hour, so we divide 12,000 meters by 60 minutes to get the speed in meters per minute.

So, following these steps: (12 kilometers * 1,000 meters) / 60 minutes = 200 meters per minute. So, Charles’s speed is 200 meters per minute.

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I believe your answer would be 6 because 3 times 5 is 15 minus the 9 is 6. Hope this helps!

Find -4 on the number line.

Go to the right 6 place values (+6)

You will find your answer

-4 (+6) = 2

2 is your answer

hope this helps

the beginnings of the sentence are dependent and after is independent. (The dependent variable is what is being studied and measured)

f(t)=7x

1. The wording tells you the independent variable: it is the phrase following "based on" or "depends on." The other variable is the dependent variable. Your variables are (independent, dependent) ...

A) (expenses, cost of running the business)

B) (area, house price)

C) (distance, time to run it)

D) (size of the carton, number of items in it)

2. f(h) = 7h . . . . . . . where h is the number of hours of babysitting and f(h) is the cost of babysitting. 0 ≤ h ≤ 4 is the domain for which this function is defined.

18 because it is most often.

The "mode" is the value that occurs most often.

18 is the number that occurs most often.

Answer:

A. [tex]t=25\ln(5)[/tex]

Step-by-step explanation:

We want to solve for t in [tex]500=100e^{0.04t}[/tex]

Divide through by 100

[tex]5=e^{0.04t}[/tex]

Take natural logarithm of both sides

[tex]\ln(5)=\ln(e^{0.04t})[/tex]

This simplifies to: [tex]\ln(5)=0.04t[/tex]

Divide both sides by 0.04

[tex]\frac{\ln(5)}{0.04}=t[/tex]

[tex]t=25\ln(5)[/tex]

Here is your equation:

[tex](-8+35) + |-16+4|[/tex]

Let's start with the equation in | |. ←These signs are used for absolute value. Absolute value is the distance between a number and 0. Absolute value is ALWAYS positive.

Here is the equation in the | |:

[tex]-16 + 4[/tex]

The negative number is greater than the positive number. That means your answer will be negative. When adding a greater negative number and a positive number, you can just subtract the positive number from the negative number and add the negative(-) sign.

[tex]16-4 = 12[/tex]

Add the (-) sign and it becomes:

[tex]12 \rightarrow -12[/tex]

Remember you have to find the absolute value of it, and absolute value is ALWAYS positive.

[tex]|-12| \rightarrow 12[/tex]

Here is your new equation:

[tex](-8+35)+12[/tex]

In the parentheses, the positive number is greater than the negative number. An easier way to do it is to subtract the negative number from the positive number.

[tex]35-8 = 27[/tex]

Here is your new(and last) equation:

[tex]27+12[/tex]

Add:

[tex]27+12=39[/tex]

The answer choice that matches is C, so that means your answer is C. 39

If you have any questions, feel free to ask in the comments! :)

Answer:

D) The 2 represents the two sets of length and width pairs.

Hope I Helped!

Given

formula for the perimeter of a rectangle = 2 ( l + w)

where l represents the length and w represents the width.

What does the 2 represent in this formula

To proof

As given in the question

Formula for the perimeter of a rectangle = 2 ( l + w)

where l = length , w = width

Perimeter of a rectangle is equal to the sum lengths of all the four sides.

Rectangle consisted of four sides.

Rectangle opposite sides are of equal length.

The diagram of rectangle given below.

option (D) is correct.

Therefore 2 represents the two sets of length and width pairs.

Hence proved

1.  Straight lines are 180 degrees.  That means 180-126=x.  So, x=54.  

You can then use x to find y.  180-54=y.  y=126.  OR  You can use vertical angles to find y.  Vertical angles are the same degree.  So if y is vertical to the angle with 126 degrees, then y=126.

Either way, you will get x=54 and y=126.

2.  You would solve problem 2 the same way as problem 1.  I encourage you to try to do it yourself, but here's how you would do it.

180-103=y, so y=77.  You can either use vertical angles or x=180-77 to find x.  You will end up with x=103.

So y=77 and x=103.

3.  Here you would use vertical angles.  Remember, vertical angles have the same degree!  So 2x+29=5x+20.  Then all you have to do is solve it.

You would end up with x=3.

I hope that helps!

Answer is provided in the image attached.

Y-intercept is 14/3.

The first thing we need to do is define our unknowns.

Jiri's age can be represented by x

Pamela's age can be represented by 2x

So,

2x+x = 69

3x = 69

x = 23

So, Jiri is 23, and Pamela is 46.

Answer:

Answer is A. 12

Step-by-step explanation:

Volume of a rectangular prism     = Length * Width * Height

Volume of the rectangular prism  = [tex]2376cm^{3}[/tex]

Length of the prism                       = 18cm

Width of the prism                         = 11cm

We need to find the Height of the Prism,

For that first make the Height as subject of the equation,

Height = [Volume of the rectangular prism/(Length * Width)]

            =[tex]2376cm^{3}[/tex]/(18cm*11cm)

            =[tex]2376cm^{3}[/tex]/[tex]198cm^{2}[/tex]

            =[tex]12cm[/tex]

Therefore,

Answer is A. 12

I think it will be 6. So, absolute value is making everything positive, so even if your answer in the absolute value is negative it will be positive.

The new expression will be 1+2+3. Your answer will be 6!

Hi!

If the pattern starts off with 5 going to 10, then that would be multiplying by 2. Then, from 10 to 30 would be multiplying by 3. From 30 to 60 would be 2, and 60 to 180 would be 3. So, the pattern is multiply by 2, then multiply by 3, then by 2, then by 3, and so on. So, if we multiply 180 by 2, we get 360, the answer.

Hope this helps!

270 because you can realize it starts going up by 30 so you had to multiply 3 × 30 to get 90 then add 90 to 180 and get 270

Since it is perp. to y = 5x +4, the slope would be the negative reciprocal of 5, which is -1/5. In order to find the y-in. you have to plug in the values you already know into y=mx+b.

-2 = -1/5(3) + b

b=-7/5

y = -1/5x -7/5

The equation of the line perpendicular to y = 5x + 4 and passes through the point (3, -2) is y = -1/5x - 7/5.

The standard form equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The question provides a line equation y = 5x + 4 and informs that the desired line is perpendicular to it. Two lines are perpendicular if the product of their slopes is -1. Hence, the slope of the perpendicular line will be the negative reciprocal of 5 which is -1/5.

Then to find the y-intercept, we use the point that the line passes through which is (3, -2). Insert these values into the equation:y = mx + b, so -2 = -1/5(3) + b, solve to find b = -7/5.

Therefore, the equation of the line in standard form is y = -1/5x - 7/5.

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Answer:

5 is the solution with the greater value; -2/3 is the other solution.

Step-by-step explanation:

Set each factor of (3x+2)(x-5)=0 equal to zero and solve for x in each case:

3x+2 = 0 => 3x = -2 => x = -2/3

x-5 = 0 => x = 5

To solve the given equation, set each factor equal to zero and solve for x. The solutions are x=-2/3 and x=5, with x=5 as the highest value.

To solve the equation (3x+2)(x-5)=0, we will use the basic principle that if the product of two factors is zero, then at least one of them needs to be zero. Therefore, either 3x+2=0 or x-5=0.

If 3x+2=0, then 3x=-2, which simplifies further to x=-2/3.

If x-5=0, then x=5.

Therefore, the solutions are x=-2/3 and x=5. Among these solutions, the highest value is x=5.

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