A high-end interior designer charges an hourly rate for his services plus a consultation fee. As a courtesy to his clients, after working on a job for over 20 hours, his hourly rate drops and the consultation fee is waived. The fees for the interior designer's services can be modeled with the following piecewise equation, where x represents the number of hours. f(x)={150x+300, x≤20100x, x>20 How much would it cost for 18 hours of interior design services? Enter your answer in the box. $

Answer:

y = 1/2x

Step-by-step explanation:

Slope: 1/2

y = 1/2x

Answer:

[tex]r^{3} t^{3}[/tex]

Step-by-step explanation:

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

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Answer:

60°

Step-by-step explanation:

1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.

Therefore, ∠L is 60°.

Answer:

where's the picture?

Step-by-step explanation:

can I have the pic po

please mark this answer as brainlist

Answer:

I think it's actually 3 ÷ 4 because there are 4 little segments that are equally divided amongst the 3 groups.

Step-by-step explanation:

Hope this helped :)

If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth

(3,000,000 shares) × ($0.000007/share) = $21

If the price increases to $0.01 per share, then the same number of shares would have a value of

(3,000,000 shares) × ($0.01/share) = $30,000

So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a

$29,979 / $21 = 1,427.57 = 142,757%

increase in value.

The equation that can be used to represent this situation is 8x + 10y = 1600

Let x represent the number of student tickets sold and y represents the number of adult tickets sold.

Since students ticket cost $8 and adult tickets cost $10, and the total ticket sold was $1600, hence this can be represented by the equation:

8x + 10y = 1600

Therefore the graph of the above equation is attached

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Answer:

she sold 5,115 ml of fruit juice and in liters is 5.115 liters

Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.

Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.

Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:

4,300,000 turns into 4.300000

Step 2) Count the number of digits you've moved.

Above, we moved 6 spaces to the left.

Step 3) Add the decimal to the front, and then 10^the number of spaces you moved

4.3 (from step one) × 10^6 (from step two)

= 4.3 × 10^6

It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)

The scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.

Example:

310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.

We have,

Distance = 4,300,000 meters

1 meter = 1000 millimeters

So,

4,300,000 meters = 4,300,000,000 millimeters

We can write 4,300,000 in scientific notation as:

= 4.3 x [tex]10^{6}[/tex] meters

We can write 4,300,000,000 millimeters in scientific notation as:

= 4.3 x [tex]10^{9}[/tex] millimeters

Thus the scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

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Answer:

L= -11/9p

Step-by-step explanation:

put me brailiest

Answer:

It is still going to be Saturday

Step-by-step explanation:

Because 3724 can be divided by 7

Since the remainder is 0, it's the same day:

Saturday

Answer:

saturday

Step-by-step explanation:

Answer:

yes they are inverses.

a.). x

Step-by-step explanation:

that's all

Answer:

w= -1

Step-by-step explanation:

-1.01 = 1.4(w + 2) - 2.41

add 2.41 to both sides

1.4 = 1.4(w + 2)

divide by 1.4 on both sides

1=w+2

subtract 2 on both sides

-1 =w

Answer:

-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)

Answer:

that’s nice good for him

Answer:

70

Step-by-step explanation:

I added the numbers given then subtracted from the given number which left 140. The answer is the same number twice which would be 70.

Answer:

The graph on the y-axis.  All real numbers ( any negative number and any positive number)

Step-by-step explanation:

it does not show the question

Answer:

x=-9

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

the cost for 2 shirts, prior to the discount, is $140

60% of 140 is 84

therefore, reduce 140 by 84 to get 56

you pay 70-56 more to get 1 shirt, or $14

Answer:

-11

i hope that helps!

Answer:

2

Step-by-step explanation:

Answer:

The answer is that you have to find tan x which is by slanted by o,n,2

Step-by-step explanation:

Answer:

1 cup of flour is needed to make 18 cookies

Answer:

3

Step-by-step explanation:

Answer:

[tex]27[/tex]

Step-by-step explanation:

Let Sara's number be [tex]x[/tex]. Now, we can build an equation.

We have that [tex]-3(x-12)=-45[/tex]. Aha! Now we have a path to the solution!

We can divide both sides of the equation by [tex]-3[/tex] to get [tex]x-12=15[/tex].

Lastly, we add [tex]12[/tex] to both sides to get [tex]x=27[/tex].

So, Sara's number is [tex]\boxed{27}[/tex].

Answer:

465 I think is the answer

% / 100 = Part / Whole

replace the given values:

85 / 100 = Part / 620

Cross multiply:

= 85 x 620 = 100 x Part

= 52700 = 100 x Part

Now, divide by 100 and get the answer:

Part = 52700 / 100 = 527

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

Answer: 3/4 are eqivelent to 6/8

Step-by-step explanation: