Find the value of x.
3x +7
D
2x + 7
3x 16

Answer: 9b+4n+6d+7

Step-by-step explanation:

1. 9b+9+4n−4+6d+2

2. 9b+4n+6d+(9-4+2)

3. 9b+4n+6d+7

Answer:

167

Step-by-step explanation:

15x9=135

4x9=32

135+32=167

Hope this helped!

Answer:

The unit rate is 1/2 or 0.5 kilograms per foot

Step-by-step explanation:

In order to find the unit rate we have to divide the number of kilograms by the number of feet

Given information is:

1/3 kilograms : 2/3 foot.

Let u be the unit rate

The unit rate will be calculated as:

[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]

When dealing with fractions

[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]

So

[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]

Hence,

The unit rate is 1/2 or 0.5 kilograms per foot

Here,

R = 7y-4

S = 2y+6

T = ?

now,

R-S=T

7y-4+2y+6

7y+2y-4+6

9y+2

again,

R+T

7y-4+9y+2

15y-2

Therefore,

RT = 15y-2

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a)The segment bisector of RT will be 4.5y+1.

b)The value of RT will be 9y+2.

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center. A line segment bisector divides a line segment into two equally sized pieces. It goes through the segments halfway. Line PQ in the image below serves as AB's bisector.

It is given that,

RS = 7y-4

ST = 2y+6

Lines or portions of lines that cut across the middle are known as segment bisectors. We designate the segments with segment marks when two segments are congruent. According to the midpoint formula, the midpoint for the endpoints (x₁,y₁) and (x₂,y₂) is ((x₁+x₂)/2,(y₁+y₂)/2).

We have to find the segment bisector of the RT.

RT = RS + ST

RT = 7y-4 + 2y+6

RT =9y+2

Thus, the value of RT will be 9y+2 and the segment bisector of RT will be 4.5y+1.

Learn more about the segment bisector here:

brainly.com/question/4137998

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Answer:

Step-by-step explanation:

5. m = 1/4

Equation: y = 1/4x + 2

6. m = 2

Equation: y = 2x – 3

7.  m = -1/8

Equation: y = -1/8x + 2

8. m = undefined

Equation: x = 0

Given that,

Length of a rectangular courtyard = (3x+5)

Width of a rectangular courtyard = (2x-3)

To find,

The expression for area of the courtyard.

Solution,

The area of the rectangular shaped object is given by :

A = lb

Substituting all the values,

A = (3x+5) (2-3)

= (3x)(2)-(3x)(3)+(5)(2)-(5)(3)

= 6x-9x+10-15

= -3x-5

So, the area of the courtyard is (-3x-5).

By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:

A = 6x^2 + x - 15

We know that the area of a rectangle of width W and length L is given by:

A = W*L

Here we know that:

L = 3x + 5

W = 2x - 3

Now we can just replace these in the area equation to get:

A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15

A = 6x^2 + x - 15

This is the expression that represents the area of the courtyard.

If you want to learn more, you can read:

https://brainly.com/question/2295917

Answer: Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 3/4, point (8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = − 7/2, point (−8, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, -5). #2

avatar+51

+2

I'm going to answer the solution in Point-Slope and Slope-Intercept.

Slope - Intercept form is this: y = mx + b

We know that (x, y) is a point on the line, m is the slope, and b is the y-intercept.

From the given information we have that it has a slope of 2 (m = 2), and one of the points on the line is (3, 9) which means that (x = 3, y = 9)

Plugging in we get:

y = mx + b

9 = 2*3 + b

9 = 6 + b

b = 3

Therefore the y-intercept is 3. After having this information we can construct our equation.

We now have to put this in the point-slope form which is: (y - y1) = m(x - x1)

Transferring what we had before we can plugin and get y - 9 = 2(x - 3)

Comment down if you have any queries or any questions on the solution. Tell me as soon as possible. Good luck in your Algebra Pursuit!! :)

Enjoy!! I put the answer in both point-slope and slope-intercept if you haven't noticed!! :)

So our answer is:

y - 9 = 2(x - 3)​.

Answer:

108°

Step-by-step explanation:

In order to find the measure of the exterior angle, we first need to solve for a. We know that the sum of a triangles' angles is always 180°.

Now we set up an equation:

180 = 44 + (a + 10) + (180 - 2a)

180 = 44 + a + 10 + 180 - 2a

180 = -a + 234

-54 = -a

54 = a

Because we know that a = 54, we can now solve for the exterior angle:

2(54) = 108

Therefore, the measure of the exterior angle is 108°.

Answer:

14/3(I believe you mean improper fraction)

Step-by-step explanation:

4 mutiply 3 plus 2

Answer:

m=8

Step-by-step explanation:

Answer:

a variable

Step-by-step explanation:

a variable can change and is a letter or symbol that represents a number

A letter or symbol that represents a number (quantity) that can change is a variable

Answer:

$15.25

Step-by-step explanation:

You divide 610 and 40 and the will get

$15.25

Because you wanna know how much does he get per hr

Answer:

x=−6

Step-by-step explanation:

4x−5=x−23

Step 1: Subtract x from both sides.

4x−5−x=x−23−x

3x−5=−23

Step 2: Add 5 to both sides.

3x−5+5=−23+5

3x=−18

Step 3: Divide both sides by 3.

3x /3=-18/3

x=-6

Answer: $30

Step-by-step explanation:

John earns $15 and spends $7. The amount left for saving is;

= 15 - 7

= $8

He started with $22 so the new total is;

= 22 + 8

= $30

Answer:

x = 102 degrees

Step-by-step explanation:

Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.

2x-37 = x+65

Subtract x from the left to isolate the variable and add 37 to the right.

x = 102

Answer:

The shorter side of pentagon is 6cm long

Step-by-step explanation:

Given two equations are:

[tex]y = x + 2\\2x + 3y = 36[/tex]

We can use any one of the methods to solve the simultaneous linear equations

As it is also given that x is the length of shorter side, we have to find the value of x

Using the substitution method

We will put the value of y i.e. x+2 in the 2nd equation

So,

[tex]2x+3(x+2) = 36[/tex]

Simplification gives us:

[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]

Hence,

The shorter side of pentagon is 6cm long

9514 1404 393

Answer:

  see attached (black dot)

Step-by-step explanation:

We assume you want to plot (r, θ) = (-3, -π/3), where the angle is in radians.

The basic idea is to locate the ray that is in the direction -π/3 radians, then go 3 units in the opposite direction. The point (3, -π/3) is identified in the attached graph by a red circle. Its reflection across the origin is how you plot the point for a negative radius. That reflected point is the black dot.

The equivalent coordinates are ...

  (r, θ) = (-(-3), -π/3+π) = (3, 2π/3)

Answer:

x (total number of hours) = 15

Step-by-step explanation:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

So he needs to tutor more than 6 hours in order to make more than $180

Answer:

1. x = 3

2. p = -3

3. a = 4

4. n = -2

5. g = 2

6. k = -18

7. s = 18

8. c = -8

9. a = -6

10 v = 9

Answer:

the answer is 390

Step-by-step explanation:

you see M means = when youre talking about money you put a M so the question is 14x35=390 hope it HELPS!!!!!!!!!

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

The first one shows the associative property.

In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.

The last one displays the commutative property.

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

Answer:

ok some idiot mod deleted my answer but literally all i put was k=6

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10.  Subtract x on both sides to get 2x - 24 = 10.  Add 24 on both sides to get to this equation 2x = 34.  Divide 2 on both sides to get your x value which is 17.

Answer:

35 books

Step-by-step explanation:

40*3=120

120-85=35

Answer:

69 xD Funny LOL GeT ReKt

Step-by-step explanation:

Answer:

3a=4.5

Step-by-step explanation:

it says that "a is equal to 3 times b", which translates to a=3b

We can substitute a as 3b in 2a+4b=5

2(3b)+4b=5

multiply

6b+4b=5

add

10b=5

divide by 10

b=1/2

since it's given that a=3b, we can multiply 1/2 by 3

a=3/2

3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5

Hope this helps!

Answer: i think it may be b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

first equation is y=3/4x+2

second equation is -2x+17