Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof? *


21 inches
27.5 inches
9 inches
19.8 inches

Answer:

the answer is c

Step-by-step explanation:

because it mets up

Answer:

See below

Step-by-step explanation:

Taking the readings from the graph

Rate of change for the given line is:

Equation for the line is:

For the point (40, 76) we can verify with the equation:

The point (40, 76) is close the line but the line doesn't pass through it.

Answer:

x | y

0 | 2

2 | 6

4 | 10

6 | 14

Equation of the line is

[tex] \frac{y - 2}{x - 0} = \frac{6 - 2}{2 - 0} \\ \frac{y - 2}{x} = \frac{4}{2} = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}[/tex]

When x=40, y will be (2×40)+2 =82

So the point should pass through (40,82) and not (40,76).

The expression representing the total number of people involved in the competition is 2n + 5.

Algebraic expressions are defined as the statements in mathematics which consist of constants, coefficients of the variables and variables connecting with basic operations like addition, multiplication, subtraction, etc.

Algebraic equations are something with an algebraic expression equal to something. But in algebraic expressions, there will be no equal to sign.

There are basically three classes of algebraic expressions, namely, monomial, binomial and polynomial expressions.

Number of couple dancing in a competition = n

Number of people involving in a couple dance is 2.

Total number of people dancing as couple = 2n

Number of organizers in the competition = 5

Total number of people involved = 2n + 5

Hence 2n + 5 number of people are involved in the competition program.

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Answer:

The solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Step-by-step explanation:

Let us solve and check the 4th system of equations

2x+y=5

2x – y=55

solving the system of equations

[tex]\begin{bmatrix}2x+y=5\\ 2x-y=55\end{bmatrix}[/tex]

subtracting

[tex]2x-y=55[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=5}[/tex]

[tex]-2y=50[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x+y=5\\ -2y=50\end{bmatrix}[/tex]

solve -2y = 50

[tex]-2y=50[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{50}{-2}[/tex]

[tex]y=-25[/tex]

[tex]\mathrm{For\:}2x+y=5\mathrm{\:plug\:in\:}y=-25[/tex]

[tex]2x-25=5[/tex]

Add 25 to both sides

[tex]2x-25+25=5+25[/tex]

Simplify

[tex]2x=30[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{30}{2}[/tex]

simplify

[tex]x=15[/tex]

Thus, the solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Answer: 3+4 =7 this is the right answer :)

Step-by-step explanation:

Answer:

this was so difficult but the answer is 7

Answer:

1.) -4 and 12

y-intercept: -4

x-intercept: 12

2.) -11 and 11

y-intercept: -11

x-intercept: 11

Step-by-step explanation:

x - 3y = 12

0 - 3y = 12

-3y/-3 = 12/-3

y = -4 (y-intercept)

x - 3y = 12

x -3(0) = 12

x = 12 (x-intercept)

2x - 2y = 22

2(0) - 2y = 22

-2y = 22

-2y/-2 = 22/-2

y = -11 (y-intercept)

2x - 2y = 22

2x - 2(0) = 22

2x = 22

2x/2 = 22/2

x = 11 (x-intercept)

Answer: B ) -x^2 + x-4

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is [tex]4 - 2 = 2[/tex], and the change in x is [tex]3 - (-5) = 3+5= 8[/tex]. Therefore, our slope is [tex]\frac{2}{8} = \frac{1}{4}[/tex].

Now that we know our slope, our equation in slope-intercept form looks something like this.

[tex]y = \frac{1}{4}x + b[/tex]

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

So now we know that the y-intercept is [tex]\frac{13}{4}[/tex]. Plugging that into our equation finishes it off, leaving our final equation to be [tex]y = \frac{1}{4}x + \frac{13}{4}[/tex].

Hope this helped!

Answer:

y= 1/4 + 13/4

Step-by-step explanation:

mark brainless please..

;-;

(did this question before)

lol

Answer:

x^2 - y^2) - (x^2 -3x +2)

Step-by-step explanation:

Answer:

-y to the second power + 3x-2

Step-by-step explanation:

Please mark brainlliest if you want.

Answer:

$1785

Step-by-step explanation:

you have to multiply the monthly rent by 2 since she has to pay the first and last months rent and then add the $355 security deposit

Answer:

$1985

Step-by-step explanation:

715 x 2 = 1430

1430 +355 = $1985

Answer:

6.12x10¹⁴

Step-by-step explanation:

...........................

Answer:

A

Step-by-step explanation:

3.4x10^-14 x 1.8x10^28

3.4x1.8 x 10^-14+28

6.12 x 10^14

Answer: A) The initial number of bacteria is 350.

Step-by-step explanation:

Exponential growth equation: [tex]f(x)=A(1+r)^x[/tex] , where A=Initial value, r= growth rate.          (i)

Given: A bacteria sample can be modeled by the function [tex]f(x) = 350(1.20)[/tex]which gives the number of bacteria in the sample at the end of x days.

Here, [tex]f(x)=350(1+0.20)[/tex]

Compare this equation to  (i) , we get A = 350 and r= 0.20 = 20% (growth rate)

So, the  best interpretation of one of the values in this function are:

A) The initial number of bacteria is 350.

Answer:

A

Step-by-step explanation:

I did the prep

the slope is 0.1 or one tenth as a fraction.

slope equation:

change in Y divided by change in X

**underlined numbers are x values and bold numbers are y values**

(3,-5) and (-7, -6)

our two Y values looking at the coordinates are -5 and -6, since coordinates are (x,y)

our two X values are 3 and -7

now plug these into the equation:

-5 - (-6)

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

3 - (-7)

**PAY ATTENTION TO THE SIGNS**

now the numerator is -5+6 which is 1

and the denominator is 3+7 which is 10

that makes 1/10 as a fraction -your slope

simplify it and you have:

slope = 0.1 or 1/10

i hope this helps!!

Step-by-step explanation:

your welcome

....................

Answer:

x=65

Step-by-step explanation:

90 degree angle

90-25= 65

It is a straight line with angle measures of 90°, x° and 25° opposite to the angle marked 180°.

Hence, their sum is 180°.

➛[tex]90 \degree + x + 25 \degree = 180 \degree[/tex]

➛[tex]115 \degree + x = 180 \degree[/tex]

Then,

➛[tex] x = 180 \degree - 115 \degree[/tex]

➛[tex]x = 65 \degree[/tex]

The measure of the angle will be 65° (Ans)

~[tex] \large{ \blue{ \sf{FadedElla}}}[/tex]

Step-by-step explanation:

c

Answer:

c.3x+5

A.x+3

D.x-3

Step-by-step explanation:

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

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Answer:

Equation is = 5+1.75m

Step-by-step explanation:

Given that,

A taxi service charge is $5.00 for each fare.

In addition, the service charges a $1.75 per minute fee.

It means, for every minute, $1.75 increases with time and $5.00 is fixed.

ATQ,

Total cost = 5+1.75m

Where m is time in minutes

Hence, the required equation is "5+1.75m".

Answer:

An equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where

Given the line

y = -13x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -13

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -13

Thus, the slope of the the new perpendicular line = – 1/m = -1/-13 = 1/13

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

substituting the values of the slope m = 1/13 and the point (4, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=\frac{1}{13}\left(x-4\right)[/tex]

Add 3 to both sides

[tex]y-3+3=\frac{1}{13}\left(x-4\right)+3[/tex]

[tex]y=\frac{1}{13}x-\frac{4}{13}+3[/tex]

[tex]y=\frac{1}{13}x+\frac{35}{13}[/tex]

Therefore, an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation will be:

Answer:

57.5 MPH

Step-by-step explanation:

You have to divide to find unit rate.

You will get 57.5 once you divide.

Answer:

C5, [5]+, (55)

i think this is it but i might be wrong

Step-by-step explanation:

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3.5, y = 8.

=> (3.5)²(8) = k, k = 98.

When y = 8/9,

we have x²(8/9) = (98).

=> x² = 110.25

=> x = 10.5 or x = -10.5.

Since we want the negative value,

the answer is x = -10.5.

The required negative value of variable x when y = 8/9 is -10.5. To understand the calculations, check below.

Important information:

Using the given inverse proportional statement, we get

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{k}{x^2}[/tex]     ...(i)

Substitute [tex]x=3.5,y=8[/tex].

[tex]8=\dfrac{k}{3.5^2}[/tex]

[tex]8=\dfrac{k}{12.25}[/tex]

[tex]8\times 12.25=k[/tex]

[tex]98=k[/tex]

Substitute [tex]k=98[/tex] in (i).

[tex]y=\dfrac{98}{x^2}[/tex]

Substitute [tex]y=\dfrac{8}{9}[/tex].

[tex]\dfrac{8}{9}=\dfrac{98}{x^2}[/tex]

[tex]x^2=98\times \dfrac{9}{8}[/tex]

[tex]x^2=110.25[/tex]

[tex]x=\pm \sqrt{110.25}[/tex]

[tex]x=\pm 10.5[/tex]

We need only negative value.

[tex]x=-10.5[/tex]

Therefore, the required value of variable x is -10.5.

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Answer:

4%

Step-by-step explanation:

4% percent of 625 is 25 and the price used to 635 and now  its 650 which means there was a $25 increase which means 4% is correct

BRAINLIEST PLZ!!!

Answer:

yes

Step-by-step explanation:

They both have a 25 degree angle, and the second one is just the first one but put on the page at a different angle

Answer:

c

Step-by-step explanation:

Answer:

Adults =1500 and student= 2500

Step-by-step explanation:

Step one:

GIven data

let Adults be x and student be y in numbers

so

5x+3y=15000------------1

x+y=4000---------------------2

from 1

x=4000-y, put this in 2, we have

5(4000-y)+3y=15000

20000-5y+3y=15000

-2y=15000-20000

-2y= -5000

2y=5000

divide both sides by 2

y= 2500

put y= 2500 in 2

x+2500= 4000

x= 4000-2500

x=1500

Answer:

His test IS a solution.

Step-by-step explanation:

Both LHS and RHS are equal so it is a solution.

I think that (His test point is a solution) is the answer

Answer:

A

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

50° is an exterior angle of the triangle, thus

38 + 4x - 24 = 50 , that is

14 + 4x = 50 ( subtract 14 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Answer:

[tex]\huge\boxed{\sf x = 9}[/tex]

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

50 = 38 + 4x - 24

50 = 4x + 14

Subtract 14 to both sides

50 - 14 = 4x

36 = 4x

Divide 4 to both sides

36 / 4 = x

x = 9

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!