Alan is paid $8.20 per hour for a regular 40-hour work week as a restaurant host. His overtime rate is 1.5 times his regular hourly rate. This week he worked 50 hours. What is his total pay?


The break-even point for the division is as follows:

The break-even point is the unit or dollar value where the total revenue equals the total costs.

The total costs consist of the fixed and variable costs.

Selling price per unit of the income tax app = $8

The variable cost per unit = $3

Contribution margin per unit = $5 ($8 - $3)

Contribution margin ratio = 62.5% ($5 ÷ $8 x 100)

Fixed cost per month = $20,000

Break-even point in units = Fixed Costs/Contribution margin per unit

= 4,000 units ($20,000 ÷ $5)

Break-even point in dollars = Fixed Costs/Contribution margin ratio

= $32,000 ($20,000 ÷ 62.5%)

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Find the break-even point for the division.

Answer

-25/27

Step-by-step explanation:

The value of angle 1 given the value of angle 4 as 47° will be 133°

Parallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.

Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.

The value will be:

= 180° - 47°

= 133°

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Answer:both a and b are correct

Step-by-step explanation:

Comparing the √17 and 29/7 using <, > or = , we have √17 < 29/7.

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than." Comparing amounts is a technique for figuring out how much to compare units in relation to a different standard or reference unit. A common reference point is necessary for two comparing units to be compared; otherwise, they cannot be compared.

Given,

Comparing the following using <, > or = ,

Numbers:

√17 and 29/7

For √17

Simplifying,

√17 = 4.123

For 29/7

29/7 = 4.14

√17 < 29/7

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Answer:

$5 dollars per lawn

Step-by-step explanation:

Hey there!

To get how the amount of money earned per lawn, you have to divide 60 by 12 to get 5.

Hope this helped!

Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:

Distance from center = sqrt(r^2 - (c/2)^2)

Where r is the radius of the circle and c is the length of the chord.

In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.

So, substituting these values in the formula, we get:

Distance from center = sqrt(3.7^2 - (7/2)^2)

= sqrt(13.69 - 12.25)

= sqrt(1.44)

= 1.2 cm

Therefore, the distance of the chord from the center of the circle is 1.2 cm.

Step-by-step explanation:

Answer:

i

Step-by-step explanation:

dont know

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer:

Step-by-step explanation:

Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.

Answer:x=-3 y=26

Step-by-step explanation:

3x+y=17.............(1)

x+2y=49..............(11)

From (11) x=49-2y

Substitute x=49-2y in 3x+y=17

3(49-2y) + y=17

Open bracket

147-6y+y=17

147-5y=17

Collect like terms

5y=147-17

5y=130

Divide both sides by 5

5y/5=130/5

y=26

Substitute y=26 in x+2y=49

x+2(26)=49

x+52=49

Collect like terms

x=49-52

x=-3

Answer:

It has a single solution: x = -3, y = 26.

Step-by-step explanation:

If AOC and BOD are diameters of a circle, centre O, we can prove that triangle ABD and triangle DCA are congruent by RHS.

First, we can observe that angle AOB and angle COD are both right angles since they are angles subtended by diameters of the circle.

Since AO and BO are equal radii of the circle, they have the same length. Similarly, CO and DO are equal radii of the circle and have the same length. Thus, we have:

AO = BO = CO = DO

Now, consider triangle ABD and triangle DCA. We have:

AB = DC (both are diameters of the circle, hence have the same length)

AD = AD (common side)

∠ADB = ∠CDA = 90° (both are right angles)

Therefore, by the RHS (Right Angle-Hypotenuse-Side) congruence criterion, we can conclude that triangle ABD and triangle DCA are congruent.

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Answer:

Value of x = 19.42 unit (Approx)

Step-by-step explanation:

Given:

Base = 6 unit

Angle θ = 72°

Find:

Value of x

Computation:

Cos θ = base / Hypotenuse

Cos 72° = 6 / x

0.3090 = 6 / x

x = 19.4174

Value of x = 19.42 unit (Approx)

Answer: d.12

Step-by-step explanation:

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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9514 1404 393

Answer:

  A.  an altitude

Step-by-step explanation:

Label the remaining vertex C.

AB is the altitude from vertex A to base BC.

Answer:

A

Step-by-step explanation:

- to find x we use tan 60 = x/7

- rearrange, tan60*7 = x, x = \(7\sqrt{3}\)

- now you have two sides so you can use pythagoras  to find z

y^2 + x^2 = z^2

z = \(\sqrt{(7\sqrt{3})^2 + (7)^2 }\)

z = 14

Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18

Answer:

Parallel

Step-by-step explanation:

-x+6 slope:-1

X+y=20 slope -1

Hence the answer is parallel

h = -120 + 13m This is the expression that they ask you for.

The solution was given in the problem.

Answer:     b

Step-by-step explanation:

i took the quiz duhh

Answer: (b)

Step-by-step explanation:

Given

The letter "BHUTAN" has to be arranged

For filing the first place of 6 letter word, we have 6 choices

Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.

In this way, the remaining places can be filled in 4, 3, 2, and 1 way

On combining the above, 6 places can be filled in  

\(\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}\)

Thus, option (b) is correct.

Answer:

s = 6

Step-by-step explanation:

1/2s=4s-21

Multiply each side by 2 to get rid of the fractions

2*(1/2s)=2*(4s-21)

s = 8s - 42

Subtract 8s from each side

s - 8s = 8s -42 -8s

-7s = -42

Divide by -7

-7s/-7 = -42/-7

s = 6

The calculated value of x in the circle is 15

From the question, we have the following parameters that can be used in our computation:

The circle and the tangent lines

The sum of angles on the circumference of a circle is 360 degrees

So, the value of x can be calculated using

17x + (180 - 75) = 360

When evaluated, we have

17x = 255

Divide both sides by 17

x = 15

Hence, the value of x is 15

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Answer:

13 5/7

Step-by-step explanation:

7 can fit into 96 13 times, So 96-(7x13) is 5. 5/7 is remaining.

Answer:

\(f=12-\frac{t}{20}\)

Step-by-step explanation:

Answer:

8.09s + 3.79c

Step-by-step explanation:

The $8.09 is pertaining to the satin (s) and the $3.79 is pertaining to the cotton fabric (c).

Answer:

70.77

Step-by-step explanation:

Hope this helps

Answer:

16

Step-by-step explanation:

5x / -6 = -40 / 3

Cross multiply

5x * 3 = -6 * -40

15x = 240

x = 16

Answer:

The value of x is 16.

Step-by-step explanation:

\(\star{\tt{\underline{\underline{\purple{CONCEPT : -}}}}}\)

Here, we will use the below following steps to find a solution using the transposition method:

\(\star{\tt{\underline{\underline{\pink{SOLUTION : -}}}}}\)

Solve for X.

\(\implies{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}\)

Enter your answer is the box.

\(\begin{gathered}\qquad{\dashrightarrow{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}}\\\\\qquad{\dashrightarrow{\sf{5x \times 3 = - 40 \times - 6}}}\\\\\qquad{\dashrightarrow{\sf{15x = 240}}}\\\\\qquad{\dashrightarrow{\sf{x = \dfrac{240}{15}}}}\\\\\qquad{\dashrightarrow{\sf{x = \cancel{\dfrac{240}{15}}}}}\\\\\qquad{\dashrightarrow{\sf{x = 16}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{x = 16}}}}}\end{gathered}\)

Hence, the value of x is 16.

\(\rule{300}{2.5}\)