Apply the distributive property to create an equivalent expression,
1/3(3j+ 6)

Answer:

Step-by-step explanation: You have to add the number

420

+77

497

Katrina is using 21//6 (B) packs per year

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Answer:

it should be $100,000

Step-by-step explanation:

Answer:

I believe c.

Step-by-step explanation:

Answer:

its a i did it and it was correct

Step-by-step explanation:

Answer:

3 and 1/4

Step-by-step explanation:

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:

Answer:

The answer to the question provided is 14.4 ft.

Step-by-step explanation:

We can solve this using proportion!

[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]

Answer:

whats the subject? science?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Answer:

[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]

Step-by-step explanation:

x^2 + 4x - 45

= (x+9)(x-5)

x^2 + 10x + 9

= (x+9)(x+1)

So the fraction goes to

[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].

Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Answer:

Area of big rectangle - area of mini rectangle

56in2 - 3in2

B. 53 in2

Step-by-step explanation:

Separate the two rectangleulsr shapes. 3x6 which equals 18.

8-3=5

5×7= 35

35+18= 53

B. 53 in sq

Answer:

3

Step-by-step explanation:

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer: (hope I got them correct)

A) -15/7

B) [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex]

C) It cuts the x-axis at (-4/15,0) and the y-axis at (0,-4/7).

Step-by-step explanation:

A) Slope = [8-(-7)]/(-4-3) = -15/7

B) Let [tex]y=-\frac{15}{7}x+c[/tex] be the required equation.

Substitute x=-4, y=8.

8=(-15/7)(-4)+c

c=-4/7

The equation is therefore [tex]y=-\frac{15}{7}x-\frac{4}{7}[/tex].

C) Substitute y=0, we will get x = -4/15 i.e. it cuts the x-axis at (-4/15,0).

Substitute x=0, we will get y = -4/7 i.e. it cuts the y-axis at (0,-4/7).

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

Answer:

the correct answer is 131

Step-by-step explanation:

5^3 +3(2)

= 125 +6

=131

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.

1.2 x 2.5 is 3

3 ft is the answer

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

Answer:

1/4

Step-by-step explanation:

I simplified before multiplying

8/12=2/3

2/3*3/8

Cross simplilify and get

1*1/4

1/4

Answer:

$49.50

Step-by-step explanation:

Simple interest formula => interest = principal x rate x time period

interest = 500 x .033 x 3 years

interest = 49.50

I hope this helps!

-TheBusinessMan

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

Answer:

x=2;DE,EF=9,DF=5

Step-by-step explanation:

Since DEF is isoceles, you can set the equations

x+7 and 2x+5 equal to each other

x+7=2x+5, now solve for x

-x=-2,

x=2, now plug in for each side

DE,EF=9

DF=3(2)-1=5

Answer:

[tex] {5}^{7} [/tex]

Step-by-step explanation:

[tex]5^3•5^4 = {5}^{3 + 4} = \purple{ \bold{ {5}^{7} }}[/tex]