Simplify: 6-8+7-2-8+13

Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

If the first odd integer is y, then the first 4 odd integers are

y

y+2

y+4

y+6

These add up to 4y+12

The sum of the first four classroom numbers in a row is 4y+12.

It is required to find the sum of the first four classroom numbers in a row.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Since the smallest classroom​ number on the side of the building is numbered y ​ and each consecutive even integers is separated by a difference of  2.

∴

y is the first class room.

y +  2  is the second class room.

y +  4  is the third class room.

y + 6 is the third class room.

The sum of the five consecutive class rooms are given as:

y + (y + 2) + (y+ 4) + (y + 6)

collecting alike terms we get

= y + y+ y+ y + 2 + 4 + 6

= 4y + 12

Therefore, the sum of the first four classroom numbers in a row is 4y+12.

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Answer: [tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]

Now we know the slope is [tex]-\frac{5}{7}[/tex].

Answer:

[tex]\huge\boxed{157 \ \ \text{degrees}}[/tex]

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

[tex]23 + x = 90\\\\x = 90-23\\\\x = 67[/tex]

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

[tex]90+67=157[/tex]

Hope this helped!

Answer:

28.8mm

hope this helped you

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53 is a prime number !!

Answer:

53

Step-by-step explanation:

Answer is 53:)

Answer:

5.5 = x

Step-by-step explanation:

c(x)=x-2

3.5 = x-2

Add 2 to each side

3.5+2=x-2+2

5.5 = x

Answer:

B E F G

Step-by-step explanation:

Polygons are 2 dimensional shapes with straight edges (no curved edges). The shape needs to be closed up entirely to be a polygon. It cannot have any intersecting line segments

A can't be a polygon because the shape isn't closed up entirely

C can't be a polygon because it is a 3d shape

D can't be a polygon because it has curved edges.

H can't be a polygon because it isn't closed up (there are no line segments).

I can't be a polygon because polygons cannot have intersecting lines

J can't be a polygon because polygons cannot have intersecting lines

I hope this helps! If it does, a rate or brainliest would be much appreciated. :)

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

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Answer: It would cost $9.45

$28.20/188= .15

then .15 times 63=9.45

Answer:

w=-32

Step-by-step explanation:

Answer: w=32

Step-by-step explanation:

Given

w/-4 + 17=9

Subtract 17 on both sides

w/-4 + 17 - 17=9-17

w/-4=-8

Multiply -4 on both sides

w/-4 × -4=-8×-4

Answer:

Ramesh is not correct; 7^-5 is 1/ 16807

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]

Answer:

Constanza ocupará, como mínimo, para forrar la caja:

1350 cm²

para forrar la caja

Step-by-step explanation:

En un cubo cada una de las aristas que lo conforman miden lo mismo.

Un cubo tiene 6 caras.

La formula del área del área de las 6 caras del cubo es:

área total del cubo = a = 6*arista²

en este caso:

a = 6*(15cm)²

a = 6 * 225 cm²

a = 1350 cm²

Answer:1350 cm²

Step-by-step explanation:idfk

Answer:

98 was the change in elevation

Step-by-step explanation:

Answer:

Step-by-step explanation:

Point B is between points A and C and points A, B, C are collinear so

AB + BC = AC

x-7 + 2x-2 = x + 13

  3x - 9  =  x + 13

      +9           +9

   3x  =  x + 22

   - x       - x

   2x  =  22

BC = 2x - 2 = 22 - 2 = 20

Answer:

3

Step-by-step explanation:

2(7y−1)=40

14y-2=40

14y=40+2

14y=42

y=3

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Answer:

7 weeks

Step-by-step explanation:

Answer: The answer is 3.10

Step-by-step explanation: Fisrt of all you add 25+7 which gives you 32. Add 32 and 55, gives you 87. You need to figure out w and b is 270. So 270 divided by 87 is 3.10. So you need 3.10 weeks.

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

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Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]3x - 2 = 4x + 1[/tex]

Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .

[tex]-2-1 = 4x - 3x[/tex]

Now solving this , we get the value of x.

[tex]4x - 3x = -2 -1\\=> x = -3[/tex]

Answer:

The answer for x is x = -3

Step-by-step explanation:

hope this helps

Answer:

aogswoans skskdme skdbdnshsbemdhdksjdhskd

Answer:

B. False

Hope this helps!

Answer:

its 60. u gotta know this stuff man

Answer:

i. 48%

ii. 220%

iii. 2.5%

The given percentage into fractions.

[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]

[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]

[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]

Answer:

Equation: [tex]Height = \frac{75}{Area}[/tex]

Step-by-step explanation:

The question is incomplete as the dimension of the phone was not given.

However, the following explanation will guide you

Given

[tex]Volume = 75\ in^3[/tex]

Required

Determine the Height

Volume is calculated as thus;

[tex]Volume = Area * Height[/tex]

Substitute 75 for Volume

[tex]75= Area * Height[/tex]

Divide through by Area

[tex]Height = \frac{75}{Area}[/tex]

The above represent the equation to solve for Height

To solve for height, we need the dimension of the phone or the area.

Take for instance; the length and width of the phone is 5 by 5 inches;

The height would be:

[tex]Height = \frac{75}{5 * 5}[/tex]

[tex]Height = \frac{75}{25}[/tex]

[tex]Height = 3\ inches[/tex]

Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

Answer:

D.) ordered pairs : {(1,-1),(2,0), (3,1)}

Answer:

[tex]50<x<150[/tex]

Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

So, let's solve both inequalities.

1)

[tex]110<2x+10[/tex]

Subtract 10 from both sides:

[tex]100<2x[/tex]

Divide both sides by 2:

[tex]50<x[/tex]

2)

[tex]2x+10<310[/tex]

Subtract 10 from both sides:

[tex]2x<300[/tex]

Divide both sides by 2:

[tex]x<150[/tex]

So, our inequality is now:

[tex]110<2x+10\text{ and } 2x+10<310[/tex]

Since we solved the equations:

[tex]50<x\text{ and } x<150[/tex]

Written as a compound inequality, this is:

[tex]50<x<150[/tex]

In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Answer:

110

Step-by-step explanation:

Answer:

if they are being equaled to each other, then x=7