Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smal
numbers?
o (X+ 1) + (x+2) = 30
X+(x+1)+(x+2) = 30
x(x+ 1)(x+2) = 30
3x(x+ 1)(x+2) = 30

Answer:

Zero

Step-by-step explanation:

To find the additive inverse, you merely change the sign of the number

For Example 5 {5 is the number} + (-5) {-5 is the additive inverse} = 0.

i.e. 6 + (-6) = 0

i.e (-7) + 7 = 0

Answer:

x = [tex]\frac{1}{12}[/tex] y

Step-by-step explanation:

Given

y = 4x + 8x, that is

y = 12x ( divide both sides by 12 )

[tex]\frac{y}{12}[/tex] = x, or

x = [tex]\frac{1}{12}[/tex] y

Answer:

20, 60, 15

Step-by-step explanation:

Let the third number be n, then

The first number is n + 5 and the second number is 4n

Sum the 3 numbers and equate to 95, that is

n + 5 + 4n + n = 95 ← collect like terms on left side

6n + 5 = 95 ( subtract 5 from both sides )

6n = 90 ( divide both sides by 6 )

n = 15

Thus

The first number is 15 + 5 = 20

The second number is 4 × 15 = 60

The third number is 15

Check the picture below.

Answer: 4 meters per sec.

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following equation:

[tex]3N + S = 79[/tex]

where [tex]N[/tex] is the number of tickets each friend got, and [tex]S[/tex] is the number of tickets that Shaunee got. We know that Shaunee got 25, so we know [tex]S = 25[/tex] and can plug that into the equation:

[tex]3N + 25 = 79[/tex]

Subtracting 25 from each side gives us the following:

[tex]3N = 54[/tex]

Dividing both sides by 3 gives us the answer:

[tex]N = 18[/tex]

79 tickets minus 25 is 54

Shawnee has 54 tickets to split between her friends.

54 divided by 3 friends equals 18 tickets.

You can check the answer by multiplying: 18x3 equals 54.

Hence, her friends each got 18 tickets...

Answer:

140°

Step-by-step explanation:

180° is a full degree, so if one is 40° less than two 180°-40° (don't quote me on this bc I'm not that good at math oops)

Answer:

The first one is 35 5/6. The second is 8 1/3

Step-by-step explanation:

5/1 * 7 3/6

= 5/1 * 45/6

=215/6

= 35 5/6

3 1/3 * 2 2/4

= 10/3 * 10/4

= 100/12

= 8 1/3

Answer:

3

Step-by-step explanation:

first mulitply 2×2 then add 3 it equals in total 7. then subtract 7-4 and your final answer is 3.

Answer:

y= 2x + 0.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = [tex]\frac{3-0}{9-0}[/tex] = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex], thus

y = [tex]\frac{1}{3}[/tex] x

Or

y = [tex]\frac{x}{3}[/tex] → C

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, 3) ← 2 points on the line

m = \frac{3-0}{9-0} = \frac{3}{9} = \frac{1}{3}, thus

y = \frac{1}{3} x

Or

y = \frac{x}{3} → C

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-9 and -3 are both 3 units from -6 on the number line.

Answer:  -9 and -3 are numbers which are 3 units from -6 on the number line.

Step-by-step explanation:

Since we have given that

3 units from -6 on the number line.

As we know that

there is right hand side and left hand side on the number line.

Left hand side is for negative numbers, and right hand side is for positive numbers.

So, the number which is 3 units from -6 on the left is given  by

[tex]-6-3=-9\ units[/tex]

The number which is 3 units from -6 on the right is given by

[tex]-6+3=-3\ units[/tex]

Hence, -9 and -3 are numbers which are 3 units from -6 on the number line.

Answer:

bisection, trisection etc.

Step-by-step explanation:

It depends on how many parts a shape will be divided in. for example if a shape is divided in two equal parts, it will be called as halves or bisection or if a shape is divided in three equal shapes it will be known as trisection and so on.

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

2) Absolute Value: |-2 - 4| = -6 HOWEVER, because it is in the absolute value signs, it becomes 6. 6 - 4 = 2

2 in the final answer.

3) 4 + 4 + 2 = 10 Because they are all negatives, we add back the negative sign.

-10 is the final answer.

4) 15x + 1 = 26

Subtract 1 from each side.

15x = 25.

25/15 = 1.6...

x = 1.6...

5) 2x -4 + 3x = - 1

2x + 3x = 5x

5x - 4 = -1

Add 4 to each side

5x = 3

3/5 = 0.6

x = 0.6

6) x-2/3 = x+4/5

I don't remember the steps, but the answer is x = 11

7) Finding the relationship between x:4 and 5:20

20/5 = 4

x = 1

The smaller rectangle has a reduction of 5 times.

8) Mean is found by adding all the number, then dividing by the amount added.

18 + 27 + 15 + 24 + 18 + 26 + 19 + 24 = 171

171/8 = 21.375

Mean = 21.375

Median is found by putting the numbers in increasing order, then finding the middle number, 15, 18, 18, 19, 24, 24, 26, 27. 24 + 19 = 43. 43/2 = 21.5

Median = 21.5

9) Circumference of a circle = 2(pi)(r)

Circumference = 30πin (thats the pi symbol)

If you use the typical pi fill-in (3.14) the its 2 * 3.14 * r then it would = 94.5in.

10) Combing Like Terms: 5x + 7y - 8y^2 + 2x - y

5x + 2x = 7x

7x + 7y - 8y^2 - y

-y + 7y = 6y

Answer: -8y^2 + 7x + 6y

Answer:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

Step-by-step explanation:

The point where the quadratic function changes direction (which is the maximum or the minimum of the function) is called the turning point. In options A, B and C the turning point is at (-2, 3), and in option D the turning point is at (-2, -1).

Given that all of them correspond to the same x-value and options A and B are the same, I assume one of them was mistyped. Given the following option:

x -3 -2 -1 0 1 2 3

y 28 19 12 7 4 3 4

we see that the turning point is at (2, 3) which represents a different x-value.

Answer:

The correct answer is A. Two inches.

Check the picture below.

8x + 6 = m<4

m<4 = 180 - 118 = 62

8x + 6 = 62

8x = 56

x = 7

Answer:

mathw ay .com

Step-by-step explanation:

Question:

The table shows the total distance that Myra runs over different time periods.

Which describes Myra’s distance as time increases?

Answer:

A.) Increasing.

Answer:

-40 x 5 = -200. his score is -200

]

Answer:

Last option: It is not a function because there are two different y-values for a single x-value.

Step-by-step explanation:

It is necessary to remember that, by definition, a relation is a function if each input value (x-value)  has one and only one output value (x-value) .

In this case, the following points:

[tex](-2, -5), (- 1, 3), (1, -2), (3, 0), (4,- 2), (4, 4)[/tex]

You can observe that the input value 4 ([tex]x=4[/tex]) has two ouput values. These are:

[tex]y=-2\\\\ y=4[/tex]

Therefore, since there are two different y-values for a single x-value, you can conclude that the given graph is not a function.

Answer:

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get  that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Step-by-step explanation:

(This is the answer form the assignment if it helps)

Answer:

29

Step-by-step explanation:

Substitute a = 6 and y = 7 into the expression

- a + 5y = - 6 + (5 × 7) = - 6 + 35 = 29

Final answer:

The calculation 4.629 + 78.2 - 57, when rounded to the appropriate number of significant figures, results in 25.8. This takes into account the number with the least decimal places in the original equation.

Explanation:

To solve the calculation 4.629 + 78.2 - 57 with the appropriate number of significant figures, follow these steps:

Add 4.629 to 78.2 to get 82.829.

Subtract 57 from 82.829 to get 25.829.

When considering significant figures, the least number of decimal places in the given numbers is one (in the number 78.2), which means our final answer should also be rounded to one decimal place. Therefore, the correct answer, rounded and with the appropriate number of significant figures, would be 25.8.

Answer:

She is right, it won´t always work.

Step-by-step explanation:

Hi, in the examples this tactic works because the first numbers, when multiplied, don´t equal 10 (7x6=42 and 8x7=56). If you multiply both numbers and give you 10, you will have to add another zero to the final number and the trick would crash.

Example:

    200    x       500      =    100,000

(2 Zeros)      (2 zeros)        (5 zeros)

Best of luck.

Answer: x is 2

Step-by-step explanation:

Add the 1 to 7 and get 8 then 4x=8 then divide 4 into 8 and x=2 to plot it on the line just go to 2 I’m guessing

Answer:

x=2

Step-by-step explanation:

[tex]\bf \stackrel{\mathbb{P~~E~~M~~D~~A~~S}}{6-(5-(3\times 2-3))\implies 6-(5-(\stackrel{\downarrow }{6}-3))\implies 6-(5-(\stackrel{\downarrow }{3}))} \\\\\\ 6-(\stackrel{\downarrow }{2})\implies 4[/tex]

The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and with three angles.

Since, The sum of all three angle in a triangle will be 180 degree.

Now, For option A;

The angles are 40° , 50°, 60°.

Sum of angles = 40° + 50° + 60°

                      = 150°

Hence, These set are not possible.

For option B;

The angles are 50° , 60°, 70°.

Sum of angles = 50° + 60° + 70°

                      = 180°

Hence, These set are possible.

So, The measure of angles in a triangle are 50°, 60° and 70°.

Option B is true.

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There are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

To find the numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11, we can analyze the problem systematically.

For a number to leave a remainder of 4 when divided by 7, it must be of the form [tex]\(7k + 4\)[/tex].

Similarly, for a number to leave a remainder of 6 when divided by 11, it must be of the form [tex]\(11m + 6\).[/tex]

We need to find the intersection of these two sets of numbers between 650 and 780.

Let's start by finding the smallest number of the form \(7k + 4\) greater than or equal to 650:

[tex]\[7k + 4 \geq 650\][/tex]

[tex]\[7k \geq 646\][/tex]

[tex]\[k \geq \frac{646}{7} \approx 92.2857\][/tex]

Since [tex]\(k\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(92.2857\)[/tex] is 93.

So, the smallest number of the form [tex]\(7k + 4\)[/tex] greater than or equal to 650 is [tex]\(7 \times 93 + 4 = 655\).[/tex]

Now, let's find the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780:

[tex]\[7k + 4 \leq 780\][/tex]

[tex]\[7k \leq 776\][/tex]

[tex]\[k \leq \frac{776}{7} \approx 110.857\][/tex]

Again, since [tex]\(k\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(110.857\)[/tex] is 110.

So, the largest number of the form [tex]\(7k + 4\)[/tex] less than or equal to 780 is [tex]\(7 \times 110 + 4 = 774\).[/tex]

Next, let's find the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650:

[tex]\[11m + 6 \geq 650\][/tex]

[tex]\[11m \geq 644\][/tex]

[tex]\[m \geq \frac{644}{11} \approx 58.5455\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the smallest integer greater than or equal to [tex]\(58.5455\)[/tex] is 59.

So, the smallest number of the form [tex]\(11m + 6\)[/tex] greater than or equal to 650 is[tex]\(11 \times 59 + 6 = 655\).[/tex]

Finally, let's find the largest number of the form[tex]\(11m + 6\)[/tex]less than or equal to 780:

[tex]\[11m + 6 \leq 780\][/tex]

[tex]\[11m \leq 774\][/tex]

[tex]\[m \leq \frac{774}{11} \approx 70.3636\][/tex]

Since [tex]\(m\)[/tex] must be an integer, the largest integer less than or equal to [tex]\(70.3636\)[/tex] is 70.

So, the largest number of the form [tex]\(11m + 6\)[/tex] less than or equal to 780 is [tex]\(11 \times 70 + 6 = 776\).[/tex]

Now, we need to find the intersection of the sets of numbers [tex]\([655, 774]\) and \([655, 776]\).[/tex]

This can be done by finding the range of overlap between these two sets.

The range of overlap is [tex]\([655, 774]\),[/tex] which contains 774 - 655 + 1 = 120 numbers.

So, there are 120 numbers between 650 and 780 that leave remainders of 4 when divided by 7 and remainders of 6 when divided by 11.

Answer:

x = 3

Step-by-step explanation:

First open the brackets. While opening brackets, you've to be careful about signs. So when you open bracket of (15-x), there's negative sign in front of it, so it makes the signs inside the brackets to change. Then you solve the it.

Answer: x=3

Step-by-step explanation:Step 1: Simplify both sides of the equation.

(8x-11)-(15-x)=1

(8x-11)+-1(15-x)=1 (distribute the negative sign)

8x+-11+-15+x=1

8x+x+(-15+-11)=1 (combine like terms)

9x+-26=1

Step 2: Add 26 to both sides

9x-26+26=1+26

9x=27

Step 3: Divide both sides by 9.

9x/9=27/9

x=3

Answer:

a

Step-by-step explanation:

you would add three to both sides because you are subtracting on the left side, so you would use inverse operations

Answer:

A &d

Step-by-step explanation:

A pex