6. Solve each equation and check your solution. 3x - 6 = 4(2 - 3x) - 8x
1/2z + 6 = 3/2(z + 6)
9 - 7w = 8w + 8

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

9514 1404 393

Answer:

  11/30 of a tank

Step-by-step explanation:

The amount used is the difference between the starting amount and the ending amount:

  7/10 -1/3 = 21/30 -10/30 = 11/30 . . . . of the tank

Answer:

40,51.5,88.5

Step-by-step explanation:

According to the question

2x+3+3x-4+5x-4=180

10x-5=180

10x=185

x=18.5

2×18.5+3

40

3×18.5-4

51.5

5×18.5-4

88.5

Answer:

40, 51.5, 88.5

Step-by-step explanation:

Add all three angles and set it equal to 180. Solve for x and then plug in and simplify.

Answer:

4 5/6 feet.

Step-by-step explanation:

The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.

3 3/6 + 1 4/6= ?

(Written as an Improper fraction)

21/6 + 10/6 = 31/6

31/6 = 4 5/6.

I hope this helps!

Answer:

first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so

Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6

chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6

now just add to figure out so

3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6

so chrystelles mom is 5 1/6 feet tall

Answer: f(x) = 3x + 10

Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.

This is is the correct function notation:

g(x)=3x+10

Hope that helps!!!

Answer:

The slope is 2/1(rise over run)

So,2/1 is 2

Answer is 2

Answer:

h = 1/5

Step-by-step explanation:

The formula to find the volume of this prism is b × w × h (base × width × height). Since you are given the volume, you can divide the volume by the other two dimensions to find the height.

V = b × w × h

1/100 = 1/4 × 1/5 × h

1/100 ÷ 1/4 ÷ 1/5 = h

h = 1/5

Answer:

Plan A equation:   y = 10x + 30

Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

When does Plan A cost the same as Plan C?

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

Which plan is best if you only use 0-4 GBs of data a month?

Test the maximum and minimum values to check which plan costs less

At 0 GBs of data used per month

Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

Plan C: y = 0 + $50 = $50 total

At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

Plan B: y = $ 4 + $ 80 = $ 84

Plan C: y = $ 20 + $ 50 = $ 70

Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

When does Plan B become the best deal?

When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

Answer:

The first one.

Step-by-step explanation:

because it a parallel.

Answer:

88 is the average

Step-by-step explanation:

78 + 88 + 98 = 264

264 / 3 = 88  ( you divide by the amount of numbers you have, in this case there are three numbers)

Answer:

20.5%

Step-by-step explanation:

Here, we want to calculate the % spent on Jewelry

To get that, we divide the amount spent on Jewelry by the total budget and multiply by 100

That will be;

61.5/300 * 100% = 20.5%

Answer:

1st Option is correct

Step-by-step explanation:

Just keep adding 150 to see the results

Answer:

The amount the car will be worth after 6 years is £21,917 and 22 pence

Step-by-step explanation:

The amount for which Colin buys the car, PV = £28,100

The amount by which the car depreciates each year, r = 4%

The number of years after which the value of the car is sought, n = 6 years

The future value, FV, based on an annual depreciation is given as follows;

[tex]FV = PV \times \left ( 1 + \dfrac{r}{100} \right ) ^n[/tex]

Substituting the known values gives;

[tex]FV_6 = 28,000 \times \left ( 1 - \dfrac{4}{100} \right ) ^6 = 21,917.22[/tex]

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence

Answer:

10 units and (- 5, - 1 )

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(- 8, - 5) and (x₂, y₂ ) = D(- 2, 3)

d = [tex]\sqrt{(-2+8)^2+(3+5)^2}[/tex]

   = [tex]\sqrt{6^2+8^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

    = [tex]\sqrt{100}[/tex]

    = 10

Calculate the midpoint using the midpoint formula

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

= [tex]\frac{-8-2}{2}[/tex], [tex]\frac{-5+3}{2}[/tex] )

= [tex]\frac{-10}{2}[/tex], [tex]\frac{-2}{2}[/tex] )

= (- 5, - 1 )

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

The correct answer is 0.86

Answer:

to blurry

..............

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

Answer:

1232 m^3 to nearest whole number.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h     where r = radius of base and h = height.

The radius of the base = 1/2 * 14 = 7m.

The height can be found by using the Pythagoras theorem:

25^2 = h^2 + 7^2

h^2 = 625 - 49 = 576

h = √576 =  24m

So the volume = 1/3 π *  7^2 * 24

=  1231.504 m^3.

Answer:

$9800

Step-by-step explanation:

Given that:

Annual salary = $50,000

Average monthly expenses = $3350

Average amount spent per annum:

Number of months in a year = 12

12 * $3350 = $40,200

Since, all amount not used as expenses is saved :

Total amount saved = $50,000 - $40,200

Total amount saved = $9800

Answer:

$9,800, just took the test

Step-by-step explanation:

took the test

Answer:

68

Step-by-step explanation:

F = 1.8(20)+32 = 68

I'm just going to take a chance and say 1.A, and 2.D.