A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips?

Answer:

It will cost $36.38 to travel 8.9 miles.

Step-by-step explanation:

In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is [tex]y=mx+b[/tex] ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the [tex]b[/tex] slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the [tex]m[/tex] in slope-intercept form. That makes the equation look like:

[tex]y=3.75x+3[/tex]

The [tex]x[/tex] in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for [tex]x[/tex].

[tex]y=3.75(8.9)+3[/tex]

Simply solve the equation and you will have how much it will cost to travel 8.9 miles.

[tex]y=33.375+3[/tex]

Now add the like terms:

[tex]y=36.375[/tex]

Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:

[tex]y=36.38[/tex]

Therefore, it will cost $36.38 to travel 8.9 miles.

Answer:

Let the total charge is y, the number of small arrangements is x.

Total charge will be:

Total charge will be:

Since the total charge is same in both shops, we have:

Solve for x:

Total cost is:

Small arrangements = 3, cost = $86

Answer:

12*18

Step-by-step explanation:

18*12 is the same as 12*18 and they both equal 216

Answer

180 - x

Step-by-step explanation:

opposite angles of a quadrilateral inscribed in a circle are supplementary

Answer:

180-x !!!

Step-by-step explanation:

i had some time to think about it

Answer:

68

Step-by-step explanation:

Answer: 5^2 + 4^3 - 21= 68

Answer:

3150 ft³ or 89.1981 m³ or 116.6667 yd³

Step-by-step explanation:

1. H

2. A

3. E

4. C

I have to type extra words to turn this in so basically I just found the slop of the line then matched it with the letters...

Answer:

159.25 ft²

I hope this helps! :)

Step-by-step explanation:

Formulas:

For the Rectangle... bh = a

For the Semicircle... 1/2 × πr²

Step 1:

Solve the area for the rectangle:

bh = a

10 × 12 = 120

a = 120 ft²

Step 2:

Solve the Area for the Semicircle:

1/2 × πr²

1/2 × 3.14 = 1.57

Radius = Diameter ÷ 2

10 ÷ 2 = 5

Radius = 5

1.57 × 5²

1.57 × 5 × 5

= 39.25 ft²

Step 3:

Add the two areas together:

120 + 39.25 = 159.25 ft²

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

Answer:

0.03333333333 = 33/1000 = 3.3%

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

Joe's been riding 4 hours because if you divide 48 by 12 it gives you 4 and it's by hours so it would be 4 hours. point blank period.

Step-by-step explanation:

Answer:

27.5

Step-by-step explanation:

pythagorean theorem. a^2+b^2=c^2.

so 12^2+b^2=30^2

meaning 144+b^2=900

900-144=756

square root 756

b=27.5

Answer:

Distance from the moon is 2.4 × 10⁵ miles

Step-by-step explanation:

Length of 1-inch paperclip = [tex]1.6\times 10^{-5}[/tex] miles

Number of paperclips used to reach the moon = 1.5 × 10¹⁰

Total distance from the moon = Number of paper clips used × Length of one clip

= (1.5 × 10¹⁰) × (1.6 × 10⁻5)

= (1.5 × 1.6) (10¹⁰× 10⁻⁵)

= 2.4 × 10⁽¹⁰⁻⁵⁾ miles

= 2.4 × 10⁵ miles

Distance from the moon is 2.4 × 10⁵ miles.

Answer:

c. 60

Step-by-step explanation:

Given

[tex]n = 61[/tex] --- sample

[tex]\bar x = 23[/tex]

Required

Determine the degrees of freedom (df)

This is calculated as:

[tex]df = n - 1[/tex]

[tex]df = 61 - 1[/tex]

[tex]df = 60[/tex]

Answer:

Upper right corner.

Step-by-step explanation:

I took the test and that one was right. Hope this helps!

Answer:

y= 3

x= -2

Step-by-step explanation:

..,............

Answer:

7. 78

8. 169

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

Answer:

576

Step-by-step explanation:

6 papers an hour. 7 hours spent grading.

So 7•6 = 42

618-42

576

Hope this helps

Answer:

x=8

Step-by-step explanation:

Because you are solving for x, you want to cancel out the y terms. You can do this by multiplying the entire equations by numbers that will make the y terms have equal numbers but opposite signs.

2(2x-5y=1)

5(-3x+2y=-18)

This turns into

4x-10y=2

-15x+10y=-90

The y terms cancel out, and the other terms can be added together.

-11x=-88

x=8

Answer: √113 or 10.63

Step-by-step explanation: the exact answer is √113, or 10.63 if you're looking for the decimal form

Step-by-step explanation:

Let the distance between two points A = (-4,7) and B = (4,0).

Here, x1 = -4 , y1 = 7

x2 = 4 , y2 = 0

Use the distance formula to find out the distance between two points are:

AB = √[(x2-x1)²+(y2-y1)²]

= √[{4-(-4)}²+(0-7)²]

= √[(4+4)²+(-7)²]

= √[(8)² + (-7)²]

= √[(8*8)+(-7*-7)]

= √[64+49]

= √[113] ⇛10.630 units approximately.

Answer:

could you add a form?

Step-by-step explanation:

Answer:

Step-by-step explanatio

Answer:

help with what problem?

Step-by-step explanation:

Answer:

Sure

Step-by-step explanation:

Answer:

Positive association is correct

Step-by-step explanation: The dots form are going up, forming a positive line. If they were to go down they would be negative. So in this case positive association is correct

Answer:

109.9 cm

Step-by-step explanation:

Circumference = (pi)(diameter)

They tell you diameter = 35

c = (3.14)(35)

c = 109.9 cm

Please lmk if you have questions.

Answer:

circumference : 109.96 cm

Step-by-step explanation:

The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.

The circumference of a circle is found by 2πr . So that would be 2π 17.5

which would be equal to 109.96cm (2 sig. fig.).

The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).

Answer:

69-43= 26

therefore "U" is worth 26 U=26

Step-by-step explanation:

Answer:

its 26, because whaen u subtract 43 from 69 u will get 26

Answer:

Step-by-step explanation:

Lets break the 2 boxes apart so you have 4*4*3 =48 and then you have 10*3*2 = 60

60 +48 = 108

108cm^3