You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25 reservation fee plus another $20 per hour. Write and solve a linear equation to find the number of hours at which the total cost is the same for both companies.

Answer:

y=14

x=25

Step-by-step explanation:

Answer:

Simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Step-by-step explanation:

We need to simplify the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Solving:

[tex](6^{-2})(3^{-3})(3*6)^4[/tex]

Applying exponent rule: [tex]a^{-m}=\frac{1}{a^m}[/tex]

[tex]=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\[/tex]

Factors of [tex]18=2\times 3\times 3=2\times3^2[/tex]

Factors of [tex]6=2\times 3[/tex]

Replacing terms with factors

[tex]=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\[/tex]

Using exponent rule: [tex](a^m)^n=a^{m\times n}[/tex]

[tex]=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}[/tex]

Using exponent rule: [tex]a^m.a^n=a^{m+n}[/tex]

[tex]=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}[/tex]

Now using exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108[/tex]

So, simplifying the expression [tex](6^{-2})(3^{-3})(3*6)^4[/tex] we get [tex]\mathbf{108}[/tex]

Answer: [tex]45.21^{\circ }[/tex]

Step-by-step explanation:

Given

[tex]\angle J=90^{\circ }[/tex]

HI=88 ft

IJ=62 ft

From the figure, we can write

[tex]\cos I=\frac{IJ}{HI}=\frac{62}{88}=\frac{31}{44}\\I=\cos^{-1} (\frac{31}{44})=45.207^{\circ }\approx 45.21^{\circ }[/tex]

Answer:

it would be 60 on the previous test because 80-20=60

i dont know what the answer choice would be

hope this helps

have  great day/night

Answer:

12- 706.5

13- true, false, true

14(A)- x= 4.50 + 0.75m

(B)- x= 8.25

x= 4.50 + 0.75(5)

x= 8.25

Step-by-step explanation:

sorry for the other time

Answer:

The age of the person now is 16 years old

Step-by-step explanation:

Let us solve the question

Assume that the age of the person now is x years old

∵ The age of the person now is x years old

∵ His age 10 years ago = x - 10

∵ His age 10 years after = x + 10

∵ The product of his ages 10 years ago and 10 years after is 156

→ Multiply his ages before and after and equate the product by 156

∴ (x - 10)(x + 10) = 156

∵ (x - 10)(x + 10) = (x)(x) + (x)(10) + (-10)(x) + (-10)(10)

∴ (x - 10)(x + 10) = x² + 10x - 10x - 100

→ Add the like terms

∴ (x - 10)(x + 10) = x² + (10x - 10x) - 100

∴ (x - 10)(x + 10) = x² - 100

→ Substitute it in the equation above

∵ x² - 100 = 156

→ Add 100 to both sides

∴ x² - 100 + 100 = 156 + 100

∴ x² = 256

→ Take √  for both sides

∴ √x² = √256

∴ x = 16

∵ x represents his age now

∴ The age of the person now is 16 years old

Answer:

2,4,5 - obtuse angle

3,4,5 - right angle

6,7,8 - acute angle

7,9,15 - obtuse angle

3,3,10 - cannot form a triangle

Answer:

15min : 4 3/4 laps

30min : 9 2/4 laps

45min: 14 1/4 laps

60min: 20 laps

Step-by-step explanation:

Answer:

v = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Geometry

Step-by-step explanation:

Step 1: Set Up Equation

2v + 3v + 75 = 180

Step 2: Solve for v

Answer:

21 degrees

Step-by-step explanation:

3v + 2v + 75 = 108

3v + 2v = 5v

5v + 75 = 108

-75 -75

÷5. 105

÷5 = 21

X=21

Answer:

4 side is the answer I am sure

Answer:

None.

Step-by-step explanation:

I assume we are talking about a regular heptagon.

This has 7 sides and 7 internal angles.

Each internal angle = 180 - (360/7) = 128.6 degrees which is an obtuse angle.

Answer:

top-left and bottom-right are decreasing

Step-by-step explanation:

Decreasing means as you move to the right, the function gets smaller (as x increases, y decreases).

Answer:

y = x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (13, 1) into the partial equation

1 = 13 + c ⇒ c = 1 - 13 = - 12

y = x - 12 ← equation of line

Answer: the answer is C. 14.7 mm

Step-by-step explanation:

Just took the quiz :)

Answer:

It's 14.7

Step-by-step explanation:

I just did the assignment(:

Answer:

is 18

Step-by-step explanation:

simple you just subtract 27 for the original number

Step-by-step explanation:

the answer is the third one hope it helps though

Answer:

2(7+9) = (2) (7) + (2)(9)

i took the test

Answer:

Yes it is

Step-by-step explanation:

Answer:

A is the answer ,I am very sure

Step-by-step explanation:

Answer:

-11/6

Step-by-step explanation:

Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

Think of the possibilities of #s each dice can roll: 1 - 6. Only 2 is prime and even meaning that's only one of six possibilities. Since rolling two dice are two subsequent events, multiply the probabilities which should be exactly the same. [tex]\frac{1}{6} *\frac{1}{6}=\frac{1}{36}[/tex]

Answer:

the equation has one solution, p = 1/4

Step-by-step explanation:

8p + 1 = 4p + 2

subtract 4p from both sides of the equation

8p - 4p + 1 = 4p - 4p + 2

8p - 4p + 1 = 2

4p + 1 = 2

subtract 1 from both sides of the equation

4p + 1 - 1 = 2 - 1

4p = 2 - 1

4p = 1

divide both sides of the equation by 4

4p/4 = 1/4

p = 1/4

Step-by-step explanation:

111/300 x 100

111/3

=37%

Answer:

8=73 degrees

5=107 degrees

Step-by-step explanation:

Please mark me brainliest :D

Answer:

Angle 5 is 107 degrees

Angle 8 is 7s degrees

Step-by-step explanation:

First find angle 5. Since the lines are parallel and cut by a transversal, we can say that Angle 3 and Angle 5 are congruent (same measure) since they are alternate interior angles.

Since Angle 3 is 107 degrees, Angle 5 would also be 107 degrees.

Angle 8 is supplementary to Angle 5.

Angle 5 + Angle 8 = 180

Since we know Angle 5 is 107: 107 + Angle 8 = 180

Angle 8 would then be 73 degrees.

Answer:

hope it helps thnk u .....ask if any queries

Answer:

The answer is 0.001.

Step-by-step explanation:

1% of 0.5 = 0.5/100 = 0.005.

0.2% of 0.5 = 0.2 x 0.005 = 0.001.

Answer:

0.10

Step-by-step explanation:

Solution given:

Over here

of means multiplication.

so

0.2 of 0.5=0.2*0.5=0.10

Answer:

the answer is b 12

Step-by-step explanatio

Answer:

30

Step-by-step explanation:

Answer:

measure of what?

Step-by-step explanation:

Answer:

Answer is<

Step-by-step explanation:

the square root of 54 is 7.34<7.4