(1 + 15 ➗ 5 + 3) evaluate each expression

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!

Answer:

I)

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Step-by-step explanation:

We are given the three equations:

[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]

I)

We want to find:

[tex]\displaystyle A + B + C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

We want to find:

[tex]\displaystyle A - B + C[/tex]

Likewise, substitute:

[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]

And combine like terms. Hence:

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

We want to find:

[tex]\displaystyle A + B - C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

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:

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

Answer:

$159.09

Step-by-step explanation:

Math

Answer: respuesta A EN 40000 millas

en  EN 1000000B

Step-by-step explanation

Answer:

(4, 4)

Step-by-step explanation:

A (5,7) and B (3,1)

To find the midpoint of a line segment, use this formula.

[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]

(x1, y1) = coordinates of first point

(x^2, x^2) = coordinates of second point.

Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.

Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.

[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]

[tex]midpoint = (4, 4)[/tex]

Therefore, the midpoint of segment AB is (4,4).

Let me know if you have any further questions.

The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:

Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]

The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).

Plugging in the coordinates:

x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4

y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4

Therefore, the midpoint of segment AB is (4, 4).

Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ3

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:

y = 0

Step-by-step explanation:

To find the slope, we have to plug the values into the slope-intercept formula.

y2 - y1 / x2 - x1

0 - 0 / 4 - (-10)

0 / 14

= 0

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)

Use the Pythagorean theorem to solve for the diagonal distance

Diagonal = sqrt(50^2 + 150^2)

Diagonal distance = sqrt(25,000)

Diagonal distance = 158.11 feet

Round to 158 feet.

If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.

The distance they saved = 200-158 = 42 feet

Answer: 42 feet.

Answer:

B .-12 and -12

Step-by-step explanation:

it is because when we multiply two -digit the answer is in +

so like in the same -12 * -12=144

And when we add the digit we get -24

Hence, it is proved

Answer:

x>1

Step-by-step explanation:

m at h w ay

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

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:

$4.25

Step-by-step explanation:

11+22+54+14=112

$220+$256= 476

476÷112=$4.25

Answer:

pura na hune kaam hunxa vanera jabarjasti garnu. maybe

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:

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.

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

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:

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:

(x) = -x/4+2

Step-by-step explanation:

Inverse the function, so swap the places of x and y

x = -4y + 8

Then solve for y

x - 8 = -4y

-x/4 + 2 = y

y = -x/4 + 2

g(x) = -x/4+2

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

  =2( x-2 + 2x+1)

Combine like terms

P = 2(3x-1)

Distribute

P = 6x-2

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:

E. a=10.

it's the answer

hope it helps