Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 11 3x – 4 = 3x + 4 How can her partial solution be interpreted?

Answer:

Step-by-step explanation:

-5n  =  1

÷(-5)    ÷(-5)

 n = -¹/₅

n + 15 = (-10)

 -15     -15

n  =  -25

n/5 = -1/5

×5    ×5

n =  -1

n - 13 = -12

  +13     +13

 n  =  1

Answer:

           -5n = 1 : n = -¹/₅

            n+15 = (-10): n = -25

            n/5 = -1/5 : n = -1

            n-13= -12: n = 1

Answer: 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)

Answer:

$12.55

Step-by-step explanation:

14.50-6.95=7.55

7.55 for the snacks which is what was left over after the ticket and she owes her friend 5 so u add that on

7.55+5=$12.55

Answer:

y=3x+6, y=5x,

Step-by-step explanation:

Answer:

Her door should be 3cm on scale

The actual dimension of the kitchen table is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Step-by-step explanation:

Given

[tex]Scale= 1 : 40[/tex]

[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]

[tex]Door\ Width = 1.2m[/tex]

Solving (a): The width of the door on the scale

Represent the scale width with x

So, we have:

[tex]1 : 40[/tex]

and

[tex]x : 1.2[/tex]

Equate both ratios

[tex]1 : 40 = x : 1.2[/tex]

Represent as fraction

[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]

Solve for x

[tex]x = \frac{1.2}{40}[/tex]

[tex]x = 0.03m[/tex]

[tex]x = 3cm[/tex]

Hence, her door should be 3cm on scale

Solving (b): Actual Dimension of the kitchen table

To solve this, we simply multiply the scale dimensions by 40

[tex]Length = 4cm * 40[/tex]

[tex]Length = 160cm[/tex]

[tex]Length = 1.6m[/tex]

[tex]Width = 2.5cm * 40[/tex]

[tex]Width = 100cm[/tex]

[tex]Width = 1m[/tex]

Hence:

The actual dimension is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Answer:

6.4 I think

Step-by-step explanation:

distance formula

Answer:

-35 centimeters of erosion

Step-by-step explanation:

Answer:

y=-7 :)

Step-by-step explanation:

remove the parentheses

8=16+y-1

subtract the numbers

8=15+y

move variable to the left-hand side and change it's sign

-y=15-8

subtract the numbers

-y=7

change the sides on both sides of the equation

y=-7

hope it help <3

Answer:

y=2

Step-by-step explanation:

8= 16y + 16

16-8= 16y

8= 16y

y= 2

Answer:

57°

Step-by-step explanation:

[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\

\therefore m\angle XYZ + m\angle NOP = 90\degree \\

\therefore m\angle XYZ + 33 \degree = 90\degree \\

\therefore m\angle XYZ = 90\degree - 33 \degree \\

\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}

[/tex]

Number of bracelets she can make from 15 1/6 = 91/6 foot of string is :

[tex]n_1=\dfrac{\dfrac{91}{6}}{\dfrac{1}{2}}\\\\n_1=30.33[/tex]

So, number of bracelets from 15 1/6 foot string are 30.

Now,

Number of bracelets she can make from 12 1/3 = 35/3 foot of string is :

[tex]n_2=\dfrac{\dfrac{35}{3}}{\dfrac{1}{2}}\\\\n_2=23.33[/tex]

Number of bracelets from 12 1/3 foot string are 23.

Therefore, total number of bracelets she can make is 23 + 30 = 53.

Hence, this is the required solution.

Answer:

50% reduction in price

Step-by-step explanation:

can be determined by 44- (44× X) solve for x and you get x as .5

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

Answer:

h(x ) = 3 x+ 3

 g ( x ) = − 4 x + 1

( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4

( h + g ) ( 10 )

= − 10 + 4  

= − 6

Step-by-step explanation:

Answer:  (2x-y)^2

Step-by-step explanation:

The area of a square is given by the formula A = s^2.  

We know that the length of one side is s = 2x-y.  We can substitute this into our area equation:

A = (2x-y)^2

If you need to multiply out the answer:

A = (2x-y)(2x-y)

A = 4x^2-4xy+y^2

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

Answer:

b= -3

Step-by-step explanation:

3= -b

b= -3

Answer:

b= -3

Step-by-step explanation:

3+6b=5b

6b-5b=-3

b=-3

Answer:D

Step-by-step explanation:

I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps

If you are asking what 2/3 times 15 is its 10

Answer:

The Distance is 4.7 which would round to 5

Step-by-step explanation:

Answer: 15.876kg

Step-by-step explanation: