Find x. Give reasons to justify your solution.

Answer:

-7

Step-by-step explanation:

First, distribute. 30 = 14 - 12 - 4x

Then, simplify and get the regular numbers one the left side.

30 = 2 - 4x                             28 = -4x

Finally, divide both sides by -4 to get x by itself.

-7 = x

Answer:

x= -29

Step-by-step explanation:

hi! let's start off by distributing.

4x+2(x+7)=5(x-3)

4x+(2x+14)=5x-15   combine like terms

6x+14=5x-15   subtract 5x on both sides

x+14=-15   subtract 14 on both sides

x= -29

there's your answer!

Answer:

x = -29

Step-by-step explanation:

4x + 2x +14 = 5x - 15

6x + 14 =5x - 15

x = -29

Please correct me if I'm wrong.

Answer:

7/16

Step-by-step explanation:

Divide each side by 5

Answer:

the uncovered part is 3 by 7

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]5m-4n+p[/tex]

You would substitute in the given values and then combine like terms

[tex]m=4\\n=3\\p=2[/tex]

[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]

Answer:

Option (C)

Step-by-step explanation:

Option (A)

Rise-run ratio from the smaller triangle = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

Rise-run ratio from the large triangle = [tex]\frac{4}{6}[/tex]

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

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

Therefore, the ratios of the rise to run are equivalent in both the triangles.

True.

Option (B)

Slope the line AC will be same as segments AB and BC which lie on the same line AC.

Slope of AC = [tex]\frac{2}{3}[/tex]

True.

Option (C)

Since, the segments AB and BC are the parts of line AC

Slope of AB = Slope of BC = Slope AC

Therefore, slope of AB and BC can not be the same.

False.

Option (D)

Since, segment AB is a part line AC, slope of both will be same.

True.

Option (C) is not true.  

Answer: The slope of AB is different than the slope of BC

Step-by-step explanation:

That’s the answer

Answer:

Around 2.67

Step-by-step explanation:

Dived 834 by 312 and try to simplify

Answer/Step-by-step explanation:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Therefore, rate travelled for t hours would be:

[tex] r = \frac{180}{t} [/tex]

The rate of travel gives the average speed the car will be going if it covers

the 180 miles in different times

Part 1. The table showing the rate at which the car was going is presented as follows;

[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]

Part 2. To  make it easy to find the rate of travel, the following equation may be uses;

Reasons:

Part 1.

The given distance travelled by the car = 180 miles

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Therefore, we have;

[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]

Part 2.

The equation that would simplify the finding of the car's travel rate is given

by the following expression;

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Where:

The constant distance traveled = 180 miles

The time taken = t

The equation that will make finding the rate of travel, easy in therefore;

[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

Learn more:

https://brainly.com/question/17374284

Answer:

4

Step-by-step explanation:

Answer:x = -12

Step-by-step explanation:<!>BRAINLIEST APPERICATED<!>

Answer:

x=−12

Step-by-step explanation:

can you mark me as branlest if right

Answer:

I'm pretty sure its 18!

Step-by-step explanation:

Negative times Negative is a positive.

2×9 is 18 so that's the answer!

Answer:

18

Step-by-step explanation:

-2 x -9 = -2(-9)

Multiplying two negatives equals a positive

and 2 x 9 equals 18.

(-) x (-) = (+)

Sorry if it doesn't make sense.

Answer:

30

Step-by-step explanation:

Answer: 30 students                        

Answer:

x = 3

Step-by-step explanation:

6x - 2 = x + 13

6x - x = 13 + 2

5x = 15

x = 3

Answer:

where is the graph??

Step-by-step explanation:

Answer:

an = 10 – 4(n – 1)

Step-by-step explaination

answer is an = 10 – 4(n – 1)

Answer: Define variables:

x = Cost of orange

y= Cost of lemon

System of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Step-by-step explanation:

Let x = Cost of orange

y= Cost of lemon

Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)

As per given,

6x+5y = 5.67

3x+7y = 4.32

Hence, system of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Answer-

Step by step explanation:

We know that perimeter of a triangle is equal to sum of the sides of a triangle.

So, we need to add the sides,

(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle

6x - 1 + 5x + 16 + 3x + 40

14x + 55

Answer:

k=9/3= 3

Step-by-step explanation:

Mark me the brainliest please

okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

Answer:

The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

The form of the slope-intercept form of the linear equation is

y = m x + b, where

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

Let us choose two points on the line to form the equation

∵ Points (6, 0) and (0, 6) lie on the line

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the y-intercept

∵ The y-intercept is the value of y at x = 0

∵ At x = 0, y = 6

∴ b = 6

→ Substitute the value of b in the equation

∵ y = -x + 6

∴ The equation of the line in slope-intercept form is y = -x + 6

Answer:

the answer is B :)

Step-by-step explanation:

edgen 2020

Answer: It is a vertical COMPRESSION

Step-by-step explanation:

"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!

Answer:

c

Step-by-step explanation:

Answer:

B. 55

Step-by-step explanation:

The angle measurements on the top are the same as the bottom, so we know  the angle next to (x+70) is 55. You then subtract 55 from 180 and you are left with 125. Then you have to subtract 70 to find x, which gives you 55. Therefore, x=55

Answer:

5750

Step-by-step explanation:

add the 3 populations together, divide by the number of populations (3)