To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.

c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved

Answers

Answer 1

Answer:

6.5 hours

Step-by-step explanation:

123-45=78

78/12=6.5

Answer 2

Theo had the limousine reserved for 6.5 hours.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Theo's equation for the cost of renting a limousine is:

c = 45 + 12h

where c is the total cost,

and h is the number of hours reserved.

If the final bill amounts to $123,

we can set c equal to 123 and solve for h:

123 = 45 + 12h

Subtracting 45 from both sides:

78 = 12h

Dividing both sides by 12:

h = 6.5

Therefore, Theo had the limousine reserved for 6.5 hours.

Learn more about algebraic Expression here:

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Related Questions

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

MN/sin72=10/sin18

MN=30.8

Write your answer as a decimal or whole number % of 80 =60

Answers

Step-by-step explanation:

number = 15/2 or 7.5

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

If 9 x 7 = 3545 and 4 x 3 = 1520 then 6 x 8 = ?

Answers

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16

Answers

Answer:

multiply the second equation by - 2

Step-by-step explanation:

Given the 2 equations

5c + 4d = 10 → (1)

3c + 2d = 16 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate d

- 6c - 4d = - 32 → (3)

Add (1) and (3) term by term to eliminate d

- c + 0 = - 22

- c = - 22 ( multiply both sides by - 1 )

c = 22

Substitute c = 22 into either of the 2 equations and solve for d

Substituting into (2)

3(22) + 2d = 16

66 + 2d = 16 ( subtract 66 from both sides )

2d = - 50 ( divide both sides by 2 )

d = - 25

solution is c = 22, d = - 25

-2 would be your answer




Hope it helps

Question 1 of 10
What is the area of the rectangle below?
J
8
15
A. 23 sq. units
B. 120 sq. units
C.46 sq.units
D.60 sq.units

Answers

Area of rectangle

L × B

8 × 15

15

×8

= 120 sq units

Solve 3(x - 2) < 18.
What is x?

Answers

Answer:

x  <  8

Step-by-step explanation:

First you divide 18 by 3, which gives you 6.

x  −  2  <  6

Then, you add 2 to 6, which gives you 8, which leaves you with :

x  <  8

:)

Answer:

X<8

Step-by-step explanation:

Distribute the 3 to get 3x-6<18. Then add the 6 to 18 leaving 3x<24. Then divide 24 by 3 to leave x by itself. x<8

I hope this helped! :)

anlatarak cozmicekseniz cevaplamayin:) ​

Answers

Wish I could help! But maybe one day I can and hopefully there’s someone on here that and assist you!

in a 5th grade class, 9/10nof the students like going to the movies. Of those students 4/5 like popcorn. Of the students that like popcorn, 2/3 of them also like candy. what fraction of the students class like popcorn at the movies? What faction lf the students in class like popcorn and candy at the movies?

Answers

Answer:

48%

Step-by-step explanation:

9/10 of the students like going to the movies.

4/5 of 9/10 is 72/100 or 72%.

2/3 of 72 is 48.

So, 48% of the students like popcorn, candy, and going to the movies.

The weights of four puppies are shown in pounds

9.5 9
9.125 9 3/4


Which list shows these weights in order from greatest to least?

Answers

Answer:

Least to greatest would be the following: 9, 9.125, 9.5, 9 3/4

I need help with this please :(

Answers

Answer:

b

Step-by-step explanation:

b= luck

PLEASE HELP! ASAP please help

Answers

Answer:

( 3 , -5 )

Step-by-step explanation:

Se sabe q la suma de tres numeros es de 850. El primer es un tercio del segundo y el tercer número es el doble del segundo.¿Cuales son los numeros apollese en el esquema de barra para solucionar el problema?

Answers

Answer:

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510

Step-by-step explanation:

Se sabe que la suma de tres números es 850. El primero es un tercio del segundo y el tercer número es el doble del segundo.

Representamos:

Primer número = x

Segundo número = y

Tercer número = z

Se sabe que la suma de tres números es 850.

x + y + z = 850 ...... Ecuación 1

El primero es un tercio del segundo

x = 1/3 años

El tercer número es el doble del segundo.

z = 2 años

Sustituimos 1 / 3y por x y 2y por z en la Ecuación 1

1 / 3y + y + 2y = 850

y / 3 + 3y = 850

Multiplica ambos lados por 3

y + 9y = 850 × 3

10 años = 2550

y = 2550/10

y = 255

Resolviendo para x

x = 1/3 años

x = 1/3 × 255

x = 85

z = 2 años

z = 2 × 255

z = 510

Por eso,

Primer número = x = 85

Segundo número = y = 255

Tercer número = z = 510

Please answer this question CORRECTLY!!!!!

Answers

The answers are the ones in the boxes. All you had to do was substitute x for the numbers on the left.

Select all that apply. Select the formulas that give the amount P in the account after the first period.

Answers

Options :

a.) P=1.005Po

b.) P=1.02Po

c.) P=Po(0.02/4)

d.) P=Po(4.02/4)

e.) P=Po(1+ 0.02/4)

Answer:

a.) P=1.005Po

d.) e.) P=Po(1+ 0.02/4)

Step-by-step explanation:

From the compound interest formula:

P = P0(1 + r/n)^t

Rate = 2% = 2/100 = 0.02

n = Number of compounding times per period, quarterly ; n = (12 /3) months

P = P0(1 + 0.02/4)^1

P = p0(1 + 0.02/4)

Simplifying further :

P = P0(1 + 0.005)

P = p0(1.005)

Please help me solve this I have work and i can't have anything due late ..​

Answers

Answer:

the answer is C i hope this helps

Step-by-step explanation:

If f(x) = x2, and
g(x) = x - 1, then
f(g(x)) = ?

Answers

Answer:

f(g(x))=1x^2 +-2x+1

Step-by-step explanation:

your inputs should be

1

-2

1

If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given

f(x) = [tex]x^{2}[/tex]

g(x) = [tex]x -1[/tex]

f(g(x)) = [tex](x-1)^{2}[/tex]

It is in the form of [tex](a-b)^{2}=a^{2} -2(a)(b) +b^{2}[/tex]

= [tex]x^{2} -2(x)(1) +1^{2}[/tex]

= [tex]x^{2} -2x+1[/tex]

f(g(x)) = [tex]1x^{2} -2x+1[/tex]

Hence, If f(x) = [tex]x^{2}[/tex], g(x) = [tex]x -1[/tex] then f(g(x)) = [tex]1x^{2} -2x+1[/tex].

Find out more information about function here

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Is this a right triangle?

Answers

Answer:

No, one of the angles has to be 90º for it to be a right triangle

Step-by-step explanation:

Answer:

no. it doesn't have a right angle.

7/10 - ___ + 3/2 = 6/5 ??????
Help me please

Answers

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

What's the answer pleaseewwww

Answers

Pretty sure it’s the third one

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

Answers

Answer: 5 2/6

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

3 1/3 + 2 1/3

10/3 + 7/3

= 17/3

= 5 2/3

I hope I helped!!

Plzzzzz help!
What is the perimeter of the composite figure?

Answers

Answer:

107.5 cm

Step-by-step explanation:

find the length of the missing side of triangle which is 22.5 rounded then add all the sides together

A savings account earns 7% interest each year, compounded quarterly (4 times a year). If a person invests $300 and makes no further deposits or withdrawals, what is the balance in the account after 5 years​

Answers

Answer:

.

Step-by-step explanation:

√32+√42 ÷ √8 +√12 simplify

Answers

Note: It should be 48 instead of 42 because √42 cannot be simplified.

Given:

Consider the given expression is

[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}[/tex]

It can be written as

[tex]=\dfrac{\sqrt{16\times 2}+\sqrt{16\times 3}}{\sqrt{4\times 2}+\sqrt{4\times 3}}[/tex]

[tex]=\dfrac{4\sqrt{2}+4\sqrt{3}}{2\sqrt{2}+2\sqrt{3}}[/tex]

[tex]=\dfrac{4(\sqrt{2}+\sqrt{3})}{2(\sqrt{2}+\sqrt{3})}[/tex]

[tex]=\dfrac{4}{2}[/tex]

[tex]=2[/tex]

Therefore, the simplified form of the given expression is 2.

Business woman Maya spends 1⁄4 hours a day on her cell phone. Her husband Larry spends 3⁄16 hours a day on his cell phone. What is the total time spent on the phone between the couple per day?

Answers

Answer:

45 minutes, or 3/4 hours

Answer:

the 3/4 is wrong this is how it was explained in the answer screen

Step-by-step explanation:

The correct answer is:

Create Equal Denominators

1⁄4 × 4⁄4 = 4⁄16

Total Time Spent

4⁄16 + 3⁄16 = 7⁄16 hours in a day

A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.

Answers

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

[tex]V = P e ^{r t}[/tex]

substitute

[tex]V = 103*e^{0.019 *6}[/tex]

[tex]V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\[/tex]

Hence the final amount is $115.36

A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?

Answers

Answer:

i like cats uwu

Step-by-step explanation:

I NEED HELP NOW ITS 100 points!!!!!
You are going to paint 3 rooms in your house. Two of the rooms measure 12 ft. by 15 ft. and the third is 15 ft. by 20 ft. The ceilings are 9 ft. high. You are going to paint the 2 rooms the same size the same color. The third room will be a different color. You will paint the ceilings in all three rooms with ceiling white paint. This ceiling paint costs $39.99 per gallon and will cover 250 square ft.. The paint for the two rooms will be tan and costs $27.95 per gallon and covers 320 sq. ft. The paint for the third room will be waterfall blue and will cost $32.50 per gallon and covers 288 sq.ft. How much will it cost to paint these three rooms if the store has a 20% off your entire purchase and sales tax is 7.35%?? *
40 points

Answers

Answer:

im sorry i dont know

Step-by-step explanation:

Lara made some chocolate tarts for every 5 cups of chocolate chips she added 3 cups of sugar.What is the ratio of chocolate chips into the sugar?

Answers

Answer:chocolate chips : Sugar

                                      5  :  3

Step-by-step explanation:

A ratio tells us the relationship between 2 or more items, explaining how many times the value of one item is contained in another and denoted as either a/b, a to b or a:b.

Here, Lara made chocolate tarts , For every 5 cups of chocolate chip, 3 cups of sugar are added, Therefore the ratio of chocolate chips to sugar is expressed as

chocolate chips : Sugar

                        5  :  3

What is the NPV of (x-5)

Answers

Np is = to positive 5

help me for brainlistt

Answers

Answer:

120 ft squared

Step-by-step explanation:

First you find the areas of all the triangle surfaces and add them up

1/2 * b * h = 21

21 *4 = 84

Find the area of the square base and add the 2 values up

6^2 = 36

36+84 = 120

120 ft squares

First you find the areas of all the triangle surfaces and add them up

1/2 * b * h = 21
21 *4 = 84

Find the area of the square base and add the 2 values up
6^2= 36
36+84= 120
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