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11111nata11111 [884]

4 years ago

6

For a tax rate of 8.25%, find the amount of tax that will be paid on an automobile tube-up costing $76. Find the total price of

the tune-up with tax.

1 answer:

dedylja [7]4 years ago

6 0

76(1.0825) is 82.27. I hope this helps have a wonderful night!

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A room is 12 m long and 8 m wide and 10 m high, find the area of the room.

Vikki [24]

Answer:

96 square meters

6 0

3 years ago

Find all solutions of the given system of equations and check your answer graphically. hint [see examples 1-4.] (if there is no

zlopas [31]

x − y = 0 = difference

x + y = 4 = sum

Can be solved by the sum and difference rule (most of the time without pen and paper)

x=(sum+difference)/2=0+4/2=2

y=(sum-difference)/2=(4-0)/2=2

6 0

3 years ago

Given g(x)=|-3x+16|, if g(x)=18, find x.

LenaWriter [7]

Answer:

x = - $\frac{2}{3}$ , x = $\frac{34}{3}$

Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

- 3x = 2 ( divide both sides by - 3 )

x = - $\frac{2}{3}$

or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = $\frac{34}{4}$

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- $\frac{2}{3}$ ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3( $\frac{34}{3}$ ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - $\frac{2}{3}$ and x = $\frac{34}{3}$ are the solutions

8 0

3 years ago

Read 2 more answers

The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure at what

Ilia_Sergeevich [38]

Answer:

4 inches

Step-by-step explanation:

The computation of the scale that should be required to reproduced that fitted on the brochure is

Given that

Length of rectangular park = 4 inches

And the Breadth of rectangular park = 6 inches

As we know that

Area of rectangular park = length × breadth

= 4×6

= 24 square inches

Now the scale that required to reproduced is

= 24 ÷ 6

= 4 inches

5 0

3 years ago

wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surfa

nikdorinn [45]

Answer:

25 miles per hour

Step-by-step explanation:

Given

$W = Wind\ resistance$

$A = Surface\ Area$

$V = Velocity$

The joint variation can be represented as:

$W\ \alpha\ A*V$

Where:

$V = 55; A = 20; W = 220$

Required

Find V, when: $A = 55; W = 275$

We have:

$W\ \alpha\ A*V$

Express as an equation

$W= k *A*V$

Where k is the constant of variation

Make k the subject

$k = \frac{W}{A*V}$

When: $V = 55; A = 20; W = 220$

We have:

$k = \frac{220}{20 *55 }$

$k = \frac{220}{1100}$

$k = 0.2$

When: $A = 55; W = 275$

We have:

$k = \frac{W}{A*V}$

Substitute: $A = 55; W = 275$ and $k = 0.2$

$0.2 = \frac{275}{55 * V}$

Make V the subject

$V= \frac{275}{55 * 0.2}$

$V= \frac{275}{11}$

$V= 25$

3 0

3 years ago