10² - (-10)² - (-10)²​

Answer:

hi there ☺️

Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 345

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 345

3X + 3 = 345

3X + 3 - 3 = 345 - 3

3X = 342

3X/3 = 342/3

X = 114

Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.

114 + 115 + 116 = 345

We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.

Step-by-step explanation:

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Answer:

Option (3)

Step-by-step explanation:

Given : 3x + 12 = 8x - 18

To prove : x = 6

        Statements                  Reasons

1). 3x + 12 = 8x - 18                 1). Given

2). 12 = 5x - 18                       2). Subtraction property of equality

3). 30 = 5x                             3). Addition property of equality

4). 6 = x                                  4). Division property of equality

5). x = 6                                  5). Symmetric property

For step 1 in the given proof Option (3) will be the answer.

Answer:

(-y,x) The coordinates are switched and the y becomes a negative.

Answer:

3

Step-by-step explanation:

- 3 + 5 - (-1)

We are subtracting a negative so it becomes a positive.

- 3 + 5 + 1

-3 + 6 = 3

Step-by-step explanation:

Remember: We have to know the PEMDAS rule: Parenthesis first, then Exponents, then mulitplication/division, and then addition/subraction.

Since -1 is in parenthesis, we solve for that first. 5-(-1) is equal to 5+1, which is equal to 6. Then, we solve from left to right: -3 + 6, which is 3.

Our final answer: 3

Answer:

8

Step-by-step explanation:

Answer:

35*F

Step-by-step explanation: aren't you just adding?

Answer:

8 inches

Step-by-step explanation:

Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.

Answer:

Oliver rolls his ball 8 inches.

the equation that was used to solve this was : 9n = 72 inches.

Step-by-step explanation:

Since the 72 inches was nine times the distance that Oliver rolled his ball, it means that the unknown number (n), was multiplied by 9 to get Fabienne's inches. So, 9n = 72.

divide both sides by the number next to the unknown to get (n), the number of inches that Oliver rolled his ball.... which is 8.

Answer:v = 9

Step-by-step explanation:

Simplifying

2(3v + 8) = 70

Reorder the terms:

2(8 + 3v) = 70

(8 * 2 + 3v * 2) = 70

(16 + 6v) = 70

Solving

16 + 6v = 70

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-16' to each side of the equation.

16 + -16 + 6v = 70 + -16

Combine like terms: 16 + -16 = 0

0 + 6v = 70 + -16

6v = 70 + -16

Combine like terms: 70 + -16 = 54

6v = 54

Divide each side by '6'.

v = 9

Answer: the answer is 9

Step-by-step explanation:

1. open the bracket by multiplying: 2(3v+8)=70

6v+16=70

2. take the 16 over the equals sign.  note:(the plus sign in front of the 16 changes to a minus sign.)

6v=70-16

6v=54

3. divide both sides by 6

6v/6=54/6

final answer: v=9

Answer:

first part c

second part d

Step-by-step explanation:

complimentary angles add up to 180

your looking for the halfway so the distace apsrt was 8 you divide that by 2 to get 4

Answer:

third one and the 2nd ? is 4

Step-by-step explanation:

complementary =180

between 8 and -2 is 4

Answer:

0 to 100 miles

Step-by-step explanation:

Trust me I know  say thanks ppl

An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.

For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.

Learn more about 3d -geometry here:

https://brainly.com/question/15451289
#SPJ7

Answer:

Step-by-step explanation:

the answer is 12 miles okay so subtract $1.30 from the $11.50 because that is the prize pf being in the car then the pries of a mile is $0.85 if that the case $11.50 -$1.30 would equal $10.2 and $10.2 divide $0.85 is 12 hopefully this helps

Answer:

The discount = $1,128

New price = $17,672

Step-by-step explanation:

Price of car before discount = $18,800

Discount given = 6% of price of car

Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128

Thus, the discount is $1,128

New price = Price of car before discount - discount = $18,800- $1,128

New price = $17,672

Answer:

what is the question?

Step-by-step explanation:

show the full picture

Answer:

10⁰ =1

why?

because when everything ⁰ =1

hope it helped you:)

Answer:

3

Step-by-step explanation:

Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

The coefficient in the expression 3n +8 is; 3.

Discussion;

By definition, a coefficient is termed a multiplicative factor in some term of a polynomial, a series, or any expression as the case may be.

Read more on coefficients;

https://brainly.com/question/10726089

Answer: 14

Step-by-step explanation:

To find the distance, find the difference in the x and y values,square them and add them. Then finally find the square root of the number you got after adding them together.  

-2-(-1)= -1

-8 -6 = -14

-14^2 + -1^2 = d^2  where d is the distance

196 + 1 = d^2

197 = d^2

d= [tex]\sqrt{197}[/tex]  

d= 14.0356     rounded to the nearest tenth is 14.

Answer:

-3a

V/12

M/10=x

4f

Step-by-step explanation:

I hope this is the answer not sure...

Answer: 6

Step-by-step explanation:

So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x

56-32=4x

24=4x

now divide 4 from bboth sides of the equation getting:

x=6

so Sameer ate 6 strawberries

Answer:

$1290

Step-by-step explanation:

1250x3.2%=40

1250+40=1290

Step-by-step explanation:

100:1250

103.2:x

(103.2x1250)/100

=1290

he made additional $40

Answer:

8

Step-by-step explanation:

When there are 2 minuses, they convert into + so that the ewuation turns into:

x+15=23

Then you move the +15 after the = sign

Now that you changed the side, you have to change sign so :

x= 23-15

x=8

Answer:

m = 0

Step-by-step explanation:

[tex]-2(8m+8)=-16\\\\\frac{-2(8m+8)=-16}{-2}\\\\ 8m+8=8\\\\8m+8-8=8-8\\\\8m=0\\\\\frac{8m=0}{8}\\\\ \boxed{m=0}[/tex]

Hope this helps.

Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

% increase = 1.07 × 100

Multiply

% increase = 107%

The percentage increase is 107%

Hope this helps :)

Answer:

107%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

new number = 29; old number = 14

percent change = (29 - 14)/14 * 100%

percent change = 15/14 * 100%

percent change = 107%

Answer:

28 ft below the surface.

Step-by-step explanation:

A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?

    You subtract 25 ft from 53 ft leaving you with 28 ft.

      53 ft

   - 25 ft

       28 ft  below the surface  

Hope this helps.

Answer:

18 inches and 57 inches

Step-by-step explanation:

The diameter and the circumference of a circle are proportionate to each other.

The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as

[tex]2 \pi r[/tex]

Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].

1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.

2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.

3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.

So the 1st option is reasonable.

Hope this helped!

Answer:

First option: 18 inches diameter, 57 inches circumference

Step-by-step explanation:

Circumference of a circle is...

2 * radius * pi

We can approximate pi (3.14159...) to 3.

So the circumference of a circle is approx.

2 * radius * 3

We know the diameter of a circle is 2 times the radius...

diameter = 2 * radius

Thus, the circumference of a circle is approximately...

diameter * 3

First option:

Diameter 18, circumference 57

Let's try our approximation

18 * 3 = 54

We see that 57 is pretty close and is a reasonable approximation.

Second option:

Diameter 3, circumference 28

3 * 3 = 9

Not even close to 28.

Third option:

Diameter 33, circumference 80

3 * 33 = 99

Closer, but much further off than our first option.

Answer:

21 minutes

Step-by-step explanation:

Given the following :

Taking CITY STREET:

Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours

Speed of travel = 30 miles per hour

Taking FREEWAY:

speed of travel = 65miles per hour

If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :

.

Distance to bowling alley taking city center :

Speed = distance / time

30 mph = distance / 0.75 hour

Distance = 30 × 0. 75 = 22.5 miles

Since distance is the same :

Time taken along FREEWAY :

Time taken = distance / speed

Time taken = 22.5 / 65 = 0.3461538 hour

Converting to minutes :

0.3461538 × 60 = 20.769 minutes

= 21 minutes ( to the nearest minute)

Answer:

4

Step-by-step explanation:

3x-12=24

-12 to both sides

3x-12-12=24-12

3x=12

3x/3=12/3x

x=4

Answer:

See below.

Step-by-step explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

[tex]f(x)=x^2[/tex]

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

[tex](-\infty,\infty)[/tex]

And the range in interval notation is:

[tex][0,\infty)[/tex]

This is interpreted as all values greater than or equal to 0.

And we're done!