slove the following equation.
6n - 3(n + 2) + 3(7n + 1) = 0​

Answer:

x = 37

m∠a = 104°

m∠b = 76

Step-by-step explanation:

Two supplementary angles will add up to 180 degrees. We can create an equation and solve for x.

3x - 7 + 2x + 2 = 180

~Combine like terms

5x - 5 = 180

~Add 5 to both sides

5x = 185

~Divide 5 to both sides

x = 37

~Find the measure of angle A

3(37) - 7

104

~Find the measure of angle B

2(37) + 2

76

Best of Luck!

Thinner candle:

y = length of the candle

x = rate it burns at every minute

y = -1/8x + 30

Thicker candle:

y = length of the candle

x = rate it burns at every minute

y = -1/10x + 30

To find the length after 3 hours:

y = -1/8(180) + 30

y = -1/10(180) + 30

Answer:

true

Step-by-step explanation:

5(1+2x)= 5 +10x =10x + 5

Answer:

Yes, they are eqivelant.

Step-by-step explanation:

5(1+2x) and 10x+5

The first step is to set them equal to each other, to see if they are equivelent.

5(1+2x) = 10x+5

Distribute the 5 to both terms in the parentheses by multiplying.

5(1) + 5(2x) = 10x +5

5 + 10x = 10x +5

The communative property of addition proves that these are equal.

Answer:

100

Step-by-step explanation:

Here, the series is in A.P.

first term a = 359

common difference d = 352-359 = -7

therefore, 38th term = a + [n-1] d

= 359 + (38 -1) (-7)

= 359 - 259

= 100

Answer:

$159.09

Step-by-step explanation:

Math

Answer:

11. 10, 20,30,40,50,60,70

12. 35, 45,55,65,75,85,95

Step-by-step explanation:

10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.

If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)

Answer:

4

Step-by-step explanation:

Answer:

To convert the measurements of metric system into another units of metric system we have to either multiply it by 10, 100, 1000, 10000, 100000, etc or divide by 10, 100, 1000, 10000, 100000, etc.

If we have to convert bigger unit into smaller unit then we have to multiply the unit by the multiples of 10, then the decimal point is shifted to right by 1 or 2 or 3 or 4 , etc. places.

For example, 1.2 kg is converted into g so we have to multiply it by 1000, so decimal point is shifted to right by 3 places, i.e.,

1.2 x 1000 = 1200 g

If we have to convert smaller unit into bigger unit then we have to divide the unit by the multiples of 10, then the decimal point is shifted to left by 1 or 2 or 3 or 4 , etc. places.

For example, 12 cm is converted into m so we have to divide it by 100, so decimal point is shifted to left by 2 places, i.e.,

12 / 100 = 0.12 m  

Step-by-step explanation:

Answer: respuesta A EN 40000 millas

en  EN 1000000B

Step-by-step explanation

Answer:

x>1

Step-by-step explanation:

m at h w ay

Answer:

18

Step-by-step explanation:

Answer:

7(10−[tex]2^{3}[/tex])+ [tex]\frac{8}{2}[/tex]

=18

Step-by-step explanation:

7(10−[tex]2^{3}[/tex])+[tex]\frac{8}{2}[/tex]

=7(10−8)+ [tex]\frac{8}{2}[/tex]  

=(7)(2)+[tex]\frac{8}{2}[/tex]  

=14+[tex]\frac{8}{2}[/tex]  

=14+4

=18

The equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4) is y = [tex]-\frac{5}{x} x-1[/tex]

Parallel lines have the same slope. Therefore, using slope intercept form.

y = mx + b

m = slope

b = y-intercept

Therefore,

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2} x+12[/tex]

The slope of the line is [tex]-\frac{5}{2}[/tex]

Base on parallelism, for the line that passes through (-2, 4)

y = mx + b

4 = [tex]-\frac{5}{2} (-2)+b[/tex]

b = -1

Therefore,

y =

learn more on parallel lines here: https://brainly.com/question/18245473

Answer:

1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex]   (x ≠ 2,5)

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

⇔ 2x + 6 = 6x - 15

⇔ 4x = 6 + 15

⇔ 4x = 21

⇔ x = 5,25

2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)

⇒6( 5y - 2) = 5(2y + 8)

⇔30y - 12 = 10y + 40

⇔ 20y = 52

⇔ y = 2,6

3) the denominator of the rational number is x (x ≠ 0)

because the denominator is greater than the numerator by 6

=> the numerator is x - 6

If the numerator is decreased by 1 and the denominator increased

by 1 , the number obtained is 1/3. so we have:

[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]

⇒ 3(x - 7) = x + 1

⇔ 3x - 21 = x + 1

⇔ 2x = 22

⇔ x = 11

with x = 11 => the rational number is 5/11

4) the number we need to find is ab (a ≠ 0)

because Sum of the digits of this number is 8

=> a + b = 8 (*)

When we interchange  the digits , it is found that the resulting new number is less than the  original number by 18, we have:

ab - ba = 18

⇔ 10a + b - (10b + a) = 18

⇔ 9( a - b) = 18

⇔ a - b = 2 (**)

(*)(**) => a + b = 8

             a - b = 2

=> a = 5

    b = 3

=> the original number is 53

5) the present Arjun's age is x (years old)( x, y E N*)

the present Shriya's age is y

because now, Arjun is twice as old as Shriya => x = 2y

Five years ago, his age was three  times Shriya’s age, we have:

=> x - 5 = 3(y - 5)

⇔ x - 5 = 3y - 15

⇔ 3y - x = 10

but x = 2y => y = 10

=> x = 20

so now, Arjun is 20 years old, Shriya is 10 years old

Step-by-step explanation:

Answer:

[tex] -( x) + 2 = 2(3x - 6) \\ - x + 2 = 2 \times 3x - 2 \times 6 \\ - x + 2 = 6x - 12 \\ x \: terms \: togther \\ - x - 6x = - 12 - 2 \\ - 7x = - 14 \\ x = \frac{ - 14}{ - 7} = 2 \\ x = 2 \\ thank \: you[/tex]

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

Answer:

pura na hune kaam hunxa vanera jabarjasti garnu. maybe

a18 − a12 = 24 == 24

d == 24

I hope this is correct and helps..

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Answer:

STAY SAFE STAY UGLY.

Step-by-step explanation:

BY ELON MUSK

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

============================================================

Explanation:

The area of any given sheet of paper is 8.5*11 = 93.5 square inches.

Divide the volume over this area to get the height of the stack

187/(93.5) = 2

The stack is 2 inches tall.

Extra info: The thickness of each piece of paper is 2/500 = 0.004 of an inch which approximates to about 0.1016 mm.

Answer:

functional relationship

Step-by-step explanation:

2 goldfish per month

how many in a year

12 months in a year

24 goldfish in one year

Answer:

locks that raise or lower the boat. Traveling East a boat would have to be lowered 12' at Amsterdam, 11' at Trives Hill, and 8' at Randall. By how much does the elevation of the boat change between Amsterdam and Randall

Answer:

9.6 square inches.

Step-by-step explanation:

We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.

First, find the scale factor k from ΔBAC to ΔDEF:

[tex]\displaystyle 5 k = 4[/tex]

Solve for the scale factor k:

[tex]\displaystyle k = \frac{4}{5}[/tex]

Recall that to scale areas, we square the scale factor.

In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.

Hence, the area of ΔEDF is:

[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]

In conclusion, the area of ΔEDF is 9.6 square inches.

9514 1404 393

Answer:

  x -y = -2

Step-by-step explanation:

The coefficients of x and y in the equation of the perpendicular line will be swapped, with one of them negated. That is, the perpendicular line will have the equation ...

  x -y = constant

The value of the constant can be found using the x and y of the given point.

  x -y = 2 -4 = -2

The perpendicular line is ...

  x -y = -2

Answer:

36

Step-by-step explanation:

of means multiply and is means equals

2/3 *x = 24

Multiply each side by 3/2

3/2 * 2/3 *x = 24 * 3/2

x = 36