Kaya rented a limousine for prom. The company charges a cleaning fee of $100 and an hourly rate of $45. Her total cost for the night was $437.50. For how many hours did Kaya rent the limousine?

Answer:

  54

Step-by-step explanation:

The Pythagorean theorem applies.

  (x +36)^2 = 72^2 + x^2

  x^2 +72x +1296 = x^2 +5184

  72x = 3888 . . . . . . subtract x^2+1296

  x = 54 . . . . . . . . . . . divide by 72

Answer:

Option C

Step-by-step explanation:

[tex] {9x}^{10} \times ( - {12}^{13} )[/tex]

[tex] = > {( - 12 \times 9)}x^{10 + 13} [/tex]

[tex] = > { - 108x}^{23} [/tex]

Answer:

20 minutes

Step-by-step explanation:

.58 times 3 equal 1.74

4.29 - 1.74 = 2.55

2.55 divided by .15 = 17

17 + 3 = 20

hopefully this helps you :)

pls mark brainlest ;)

Answer:

The answer is c.

Answer:

Step-by-step explanation:

Option 1

[tex]\left|-0.2\right| = 0.2\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|-a|=a,\:\quad \:a>0\\\\0.2 =0.2\\\\True[/tex]

Option 2

[tex]-\left|0.2\right| = 0.2\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\\\-0.2 =0.2\\False[/tex]

Option 3

[tex]\left|0.2\right| =0.2\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\\\0.2 =0.2[/tex]

Option 4

[tex]-\left|0.2\right| =- 0.2\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\\\-0.2 =-0.2\\True[/tex]

Answer:

i'm not sure what the statements are but here is some information

p + j + m = 3000

1533 + 837 + m = 3000

m = 630

Marina has 630 cards

Answer:

40,550

Step-by-step explanation:

Given that 12 people can comfortably fit in a 5 × 5 foot square

Area of square = 5²= 25 ft²

The dimension Given by : 8 feets depth on both sides along a 2 mile section signifies a rectangular area.

Area of rectangle = (length × width)

Recall :

1 mile = 5280 feets

2 miles = 5280 × 2 = 10,560 feets

Area = 8 × 10560 = 84480 sq feets

84480 / 25 = 3379.2

Estimated number of people will be :

3379.2 × 12 = 40,550.4

Hence, estimated number of people = 40,550

Answer:

(-3/2, 5)

Step-by-step explanation:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-4 + 1) / 2 , (6 + 4) / 2

-3/2 , 10/2

(-3/2, 5)

Answer:

____________

the answer is B

___________

explanation

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(x^2 - 2x) - 3xy + 6y

Factor out the greatest common factor (GCF) from each group.

x(x - 2) - 3y (x - 2)

Factor the polynomial by factoring out the greatest common factor, x - 2

(x - 2) (x - 3y)

Answer:

Step-by-step explanation:

your answer would be B.

add and subtract the second turn to the expression and Factor by grouping

Answer =2n^2+11n

you welcome:)

2n² + 11n

5(n² + n) – 3(n²2 – 2n) =

= 5n² + 5n - 3n² + 6n

= 2n² + 11n

Answer:

x = 79.

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

Answer:

-3a + 6 + 36a = 32a + 4

a = - 2

Answer:

C(r) is the area of the base of a cylindrical tank with radius r.

We know that this area is:

C(r) = pi*r^2

S(x) is the area of the square base where x is the side length of the base.

S(x) = x*x

Now, we have the expression:

S( C(r)) wich means that we are evaluating the function S(x) in the point x = C(r)

Now, we have a problem here.

In S(x), S(x) is in units of area, and x is in units of length.

And the same for C(r), C(r) is in units of area, and r in units of length.

then we can not have x = C(r)

Then this expression does not represent anything, because the units do not match, so it has no physical sense.

Explanation:

Multiply 0.66666667 with 18 to get

0.66666667*18 = 12.00000006

The 6 at the very end is due to rounding error. In reality the 6's in 0.66666667 should go on forever. That 7 is from rounding up.

Anyways, the result 12.00000006 should be 12 exactly.

Note how

12/18 = 0.66666667

when using a calculator.

Answer:

12

Step-by-step explanation:

Use equilvalent fractions 0.6 repeating is 2/3 than convert it over 18 students which is equal to 12/18 students chose granola bars.

Answer:

62*50=3100

enjoy

Answer:255.601

Step-by-step explanation:

Answer: Choice B

Coffee Brand A is a better buy because its unit rate is $0.44 per ounce

=======================================================

Explanation:

Brand A is sold for $6.99 per pound, which is the same as saying $6.99 per 16 ounces. The unit rate is 6.99/16 = 0.436875 = 0.44 dollars per ounce

Brand B is sold for $5.69 for 12 ounces. The unit rate is  5.69/12 = 0.47416 = 0.47 dollars per ounce

Brand A is cheaper per ounce compared to brand B.

------------------

Here's another way we can look at it

Brand A is $6.99 per 16 ounces. We can set up the equation below

6.99 dollars = 16 ounces

then divide both sides by 16 to turn "16 ounces" into "1 ounce"

So,

6.99 dollars = 16 ounces

6.99/16 dollars = 16/16 ounces

0.436875 dollars = 1 ounce

0.44 dollars = 1 ounce

is the unit rate for brand A.

Similar steps would happen with brand B as well.

Answer:

3000

Step-by-step explanation:

0.7 is a rational number.

Because it is a terminating decimal expansion.

Answer:

The decimal 0.7 is a rational number. It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction

Answer:

Infinite Solutions.

Step-by-step explanation:

3x+2y=8 for x:

3x+2y=8

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8 3x 3 = −2y+8 3 (Divide both sides by 3)

x= −2 3 y+ 8 3

Substitute −2/3y + 8/3 for x in 4.5x+3y=12:

4.5x+3y=12

4.5( −2/3y+ 8/3 )+3y=12

12=12(Simplify both sides of the equation)

12+−12=12+−12(Add -12 to both sides)

0=0

Infinitely many solutions.

Answer:

Infinite Solutions.

Step-by-step explanation:

3x+2y=8 for x:

3x+2y=8

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8 3x 3 = −2y+8 3 (Divide both sides by 3)

x= −2 3 y+ 8 3

Substitute −2/3y + 8/3 for x in 4.5x+3y=12:

4.5x+3y=12

4.5( −2/3y+ 8/3 )+3y=12

12=12(Simplify both sides of the equation)

12+−12=12+−12(Add -12 to both sides)

0=0

Infinitely many solutions.

Answer:

56

Step-by-step explanation:

Step-by-step explanation:

Hey there!!

The cost of 6 orange = nu.48

The cost of 1 orange = nu.48/6

= nu.8

Therefore, the cost of each orange is nu.8.

Hope it helps...

Answer:

W= -3

Step-by-step explanation:

3w=6+5w

-5w on each side

-2w=6

Divide by - 2 on each side

W=-3

Answer:

y < 5/3x -3

Step-by-step explanation:

Used Desmos graphing calculator :)

Answer:

x is 7

Step-by-step explanation:

-3-(-8)-(-2) = x

             7 = x

Answer:

1/2 = m

Step-by-step explanation:

3/4=m+1/4

Subtract 1/4 from each side

3/4 - 1/4=m+1/4-1/4

2/4 = m

Simplify

1/2 = m

Answer:

m=  

2

1

​  

=0.500

Step-by-step explanation:

The solution is $ 9.50

The weekly per hour rate of Tasha is $ 9.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The weekly per hour of Tasha last week = $ 422.75

The extra overtime pay of Tasha for 3 hours = $ 42.75

The total number of hours working = 40 hours

So , the equation will be

The weekly per hour of Tasha without overtime = weekly per hour of Tasha last week - overtime pay of Tasha for 3 hours

Substituting the values in the equation , we get

The weekly per hour rate of Tasha without overtime = 422.75 - 42.75

The weekly per hour of Tasha without overtime = $ 380

So , The weekly per hour rate of Tasha A = The weekly per hour rate of Tasha without overtime / total number of hours working

Substituting the values in the equation , we get

The weekly per hour rate of Tasha A = 380 / 40

The weekly per hour rate of Tasha A = $ 9.50

Therefore , the value of A is $ 9.50

Hence , The weekly per hour rate of Tasha is $ 9.50

To learn more about equations click :

https://brainly.com/question/19297665

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If you divide the circumference C over the radius r, you get 2pi

2pi = C/r

this is because

C = 2pi*r

is one formula to find the circumference. Another formula is

C = pi*d

which works because d = 2r, ie the diameter is twice the radius.

Answer:

x = 34

Step-by-step explanation:

(x - 9(16/8)) = 16

(x - 9(2)) = 16                        Divide 16 and 8

x - 18 = 16                             Multiply 9 and 2

x = 34                                   Add 18 to both sides

Answer:

B

Step-by-step explanation:

all the other ones are either 50 - 12 or 50 + 12, but B is the total amount of money (x) minus 50($) is 12($).

not sure if that makes sense.

Answer:

Step-by-step explanation: