What is the greatest common factor of 28 and 42.

Answer:

a) y=1/3x-2

b) y=1/5x+2

c) y=[tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

rational numbers and real numbers

Step-by-step explanation:

Answer:

24.00

Step-by-step explanation:

24.oo to the nearest hundred

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]

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

Answer: 0.15 meters taller

Step-by-step explanation:

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:

A

Step-by-step explanation:

Given

- k - (- 8k + 7) ← distribute parenthesis by - 1

= - k + 8k - 7 ← collect like terms

= 7k - 7 → A

Answer:

7k + 7

Step-by-step explanation:

-k - (-8k + 7)

-k + 8k + 7

7k + 7

give brainliest please I need it to level up

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:

Step-by-step explanation:

All the reasons are correct apart from the 4th.

Step 4 involves multiplication of both sides by (2/3). Thee reason given is: "Division property of equality", which is wrong as division is not applicable.

Answer:

Reason 4 is correct I just did the quiz

Answer:

25 and 20 milies/gallons

Step-by-step explanation:

Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.

Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.

Since we also know that 1250 is the total distance traveled then

30 f + 25 s = 1250    (1)

Moreover we know that the efficiency is 45 miles/gallon. Hence

f + s  = 45

Multiply by 30 we have

30 f  + 30 s = 1350   (2)

Subtract the (1) equation from (2) we have

5s = 100

s = 20

f + 20 =45

f = 25

So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.

Answer:

$4.25

Step-by-step explanation:

11+22+54+14=112

$220+$256= 476

476÷112=$4.25

Answer:

the play area is a circle with radius = 12

Step-by-step explanation:

Circle area = A= π r²

r = radius

A = 144 π = 452.39

Diameter = 2r

= 24

circumference = C = 2π r

= 24 π = 75.4

Q2)

Area = π r²

r = 15

r²= 225

area = 706.5

Width = 2w , Length = w+5 , perimeter = 40

Perimeter of rectangle = 2 (Length + Width)

P= 2 (L + w)

40 = 2 [ (w+5) + (2w) ]

40 = 2 ( 3w+5)

40= 6w +10

6w= 40 – 10

6w= 30

w = 30/6

w = 5

Width = 2w = 2(5) = 10

Length = w + 5 = 5+5 = 10

I hope I helped you^_^

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:

[tex]y = \frac{3}{5} x + \frac{49}{5} [/tex]

Step-by-step explanation:

slope = -5/3

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b

the new slope = 3/5

y = 3/5 x + b

8 = -9/5 +b

b = 40/5 + 9/5 = 49/5

y=3/5x + 49/5

Answer:

12 sides

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180° , then

3x + x - 20 = 180

4x - 20 = 180 ( add 20 to both sides )

4x = 200 ( divide both sides by 4 )

x = 50

Then

exterior angle = x - 20 = 50 - 20 = 30°

The sum of the exterior angles of a polygon = 360°

The number of sides n is sum divided by 1 exterior angle , that is

n = 360° ÷ 30° = 12

Answer:

Answer: My estimation is 5

Step-by-step explanation:

[tex] {x}^{3} = 95[/tex]

Introduce power of ⅓ on all sides:

[tex]( {x}^{3} ) {}^{ \frac{1}{3} } = {95}^{ \frac{1}{3} } \\ \\ {x}^{ \frac{3}{3} } = {95}^{ \frac{1}{3} } \\ \\ x = 4.5629....[/tex]

Approximation / estimation :

[tex]x \approx5[/tex]

Step-by-step explanation:

A

3(6+15)

=3(21)

=63

B

5[15-(6+1)]

=5(8)

=40

B

⅓(15)

=5

C

⅓(6+15)

=⅓(21)

=7

E

15/6

=2/1/2 or 2.5

W

2(6)(15-3)

=2(7)

=36

L

4(⅓+⅓+⅓)

=4(1)

=4

L

6/15 - 15/6

=36/90 - 225/90

= -189/90

= -21/10

Answer:

The answer is B

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]

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:

d = 13

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

d = √[7 - (-6)]² + (1 - 1)²

d = √(13)² + (0)²

d = √169

d = 13

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)

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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:

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.

Answer:

The number is 775

7=7

7+7+5=19

775 is a multiple of 5