Alex rents a car for one day. The charge is $18
plus $0.12 per mile. Alex wants to spend exactly
$30. How many miles can he drive?

Answers

Answer 1

Answer:

100

Step-by-step explanation:

30 - 18 = 12

12 / .12 = 100

plz mark brainliest if helpful

Answer 2

Miles that alex can drive is 100

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

The calculation is as follows;

Number of days alex rents a car = 1 day

The charge for the car = $18 plus $0.12 per mile

Alex wants to spend; $30

The number of miles he will drive can be calculated as follows

= $30 - $18

= $12

= 12÷0.12

= 100

Therefore, if Alex spends $30 he will drive for 100 miles

Learn more about the unitary method, please visit the link given below;

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Related Questions

y(x + x - y) ; when x = 5 and y = 3

Answers

Answer:

39

Step-by-step explanation:

3(5+5-3)

15+15+9

30+9

39

Answer:

your answer would be 21 hope i helped:)

Step-by-step explanation:

Triangle ABC is given by the points A(−1, 5), B(0, 3), and C(2, 4). It is reflected over the line y = −2x − 2. Does the image contain each of the points? Select Yes or No for A-C.
1. A' (-5,3) Yes or No
2. B' (-4,6) Yes or No
3. C' (-6,0) Yes or No

Please help!

Answers

Answer:

1.A'(-53) yes

2. yes

3 no

3. Simplify i41. (2 points)
0
-1
O
-1.
O
1

Answers

-1 I think but we need a picture!!

wut is the soulotion to this eqation2x+10=28

Answers

Answer:

x=9

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2x+10−10=28−10

2x=18

Step 2: Divide both sides by 2.

2x /2  =  18 /2

X=9 because 9 times 2= 18+10=28

18ac - 12a - 15c + 10

Answers

Answer:

[tex]\left(3c-2\right)\left(6a-5\right)[/tex]

Step-by-step explanation:

[tex]18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)[/tex]

(3c-2)(6a-5)

Explain

18ac-12a-15c+10

(18ac-12a)+(-15c+10)

Factor out -5 from-15c+10: -5(3c-2)

Factor out 6a from 18ac-12a: 6a(3c-2)

= -5(3c-2)+6a(3c-2)

Factor out common terms 3c-2

(3c-2)(6a-5)

:) Hope you enjoy :)

In this graph, the y-intercept of the line is The equation of the line is y =​

Answers

where is the graph? it doesn’t show a graph.

This is 1.5 Finding the missing Angle Relationship. Can someone help me or correction, (DO) lol Problems 1-10. :) thank you. ​

Answers

brbshshsbsbdndmdibsbsnsidjnsbsisns sjsnd d. shane be

simplify.show work
30-2(3²+6)


thanks

Answers

Answer:

30−2(32+6)

=30−2(9+6)

=30−(2)(15)

=30−30

=0

you pay a processing fee and a daily fee to rent a beach house. the table shows the total cost of renting the beach house for different numbers of days.

a) what is the processing fee? the daily fee?

b) you can spend no more than $1200 on the beach house rental. what is the maximum number of days you can rent the beach house?​

Answers

Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  [tex]{}[/tex]                       Total cost, T (dollars)

2               [tex]{}[/tex]                                       246

4   [tex]{}[/tex]                                                   450

6  [tex]{}[/tex]                                                    654

8   [tex]{}[/tex]                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

a) D = $102

   P = $42

b) t = 11 days

Step-by-step explanation:

Given :

Data in the table -

Days (t)                    Total cost (dollors) (T)

 2                                        246

 4                                        450

 6                                        654

 8                                        858

Calculation :

a) Let the total processing fee is P and the daily fee is D.Now,

[tex]\rm T = D \times t + P[/tex]     ------------  (1)

Now, from the table we have ,

When t = 2 days and T = $246 than equation (1) becomes  

[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]  

246 = 2D + P   ------- (2)  

Similarly, when t = 6 days, and T = $654, then equation (1) becomes  

[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]  

654 = 6D + P   --------- (3)  

Subtracting equation (2) from equation (3) ,  

654 - 246 = 6D + P - (2·D + P)  

408 = 4D  

D =  $102    

From equation (2),  

246 = 2·D + P = 2 × 102 + p  

p = 246 - 2 × 102 = 42  

P = $42    

b) Given:

The maximum amount available for spending on the beach house rental = $1200

 Now,

[tex]\rm T= D\times t + P[/tex]  

Where, D = $102 and P = $42 are constants and T = $1,200,  

1200 = 102t + 42  

t = 11.35 days  

Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.

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convert 7.2 • 10^-3 to standard form.

A) 72,000
B) 7,200
C) 0.0072
D) 0.00072

Answers

Answer:

i think the answer is C

Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.

I need help 0ls respond ​

Answers

Hi what’s your question

PLEASE HELP ME i will give points

Answers

Answer:

40 degrees

Step-by-step explanation:

There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.

5x-5=3x+13

Move the variables on one side and numbers on the other. 2x=18

Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.

Answer:

Step-by-step explanation:

Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B   meaning

5x-5=3x+13 and then you solve

5x - 3x = 13 + 5

2x = 18

x = 9

PLEASE HELP IM BEING TIMED!!

Then DS+ST=DT what is the property?

Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given

Answers

The answer should be C. Segment addition

Answer:

hope you have a good day it is cccccccc

richard is walking around his neighborhood. if he walks 1/3 mile in 1/6 hour, how fast is richard walking, in miles per hour?

Answers

Answer:

2 miles per hours

Step-by-step explanation:

You divide 1/3 mile by 1/6 hour

Use the reciprocal.

1/3 x 6/1 = 2/1

Simplify

2/1 = 2

You can also solve it this way:

If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.

30 x 2 = 60

Either way, Richard walks 2 miles per hour.

Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

The total time taken = 1/6 hour

Average speed = the total distance / the total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, he is at an average speed of 2 miles per hour

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we are going to paint the walls in our living room. two walls measure 22 feet by 9 feet and two walls measure 26 feet by 9 ft what is the total wall area that will be painted if a gallon of paint cover 144 square feet how many gallons will we need

Answers

Answer:

You will need 3 gallons and the total square feet is 432.

Step-by-step explanation:

I hope this helps. Have a good day!

Find the slope of the following line containing the following points (4,5) and (11,33)

Answers

The answer would be 4. You use the equation y2-y1/x2-x1 so you would have 33-5/11-4 which would equal 28/7which reduces to 4

Hope this helps.

Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3.5liters of the liquid solution, and Christopher uses 2,580milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters?

Answers

Answer:

129:175

Step-by-step explanation:

Andy and Christopher are measuring a liquid solution using a graduated cylinder

Andy uses 3.5 liters of the liquid solution

3.5 liters to mililiters

= 3.5 ×1000

= 3500 mililiters

Christopher uses 2580 mililiters

Therefore the ratio of Christopher's measurement to Andy's measurement can be calculated as follows

= 2580/3500

= 129 : 175

Hence the ratio of Christopher's measurement to Andy's measurement is 129:175

ANSWER ASAPPPP ‼️‼️‼️
ANSWER PICTURE!!!!!!!

Answers

Answer:

1/2

Step-by-step explanation:

see attached picture.


7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150

Answers

Answer:

C

Step-by-step explanation:

11/5 - 7/4 + 2/1 evaluate​

Answers

Step-by-step explanation:

11/5−7/4+2/1

=49/20(Decimal: 2.45)

Mr. Freeman has a square cornfield. Which of the following could be the area of the cornfield if the sides are measured in whole numbers? Select all that apply.
A.164,000 ft2
B.156,816 ft2
C.174,724 ft2
D.215,908 ft2

Answers

Step-by-step explanation:

i think both B and C are correct. for whole numbers 0,1 ,2... there must not be decimal.

area of square is l^2. so here square root of B and C are whole numbers.

Evaluate x2+8x+5 when x=−2.

Answers

Answer:

25

Step-by-step explanation:

Hope This Helps!

Plz Mark Brailiest!

you substitute the value of the variable into the equation and simplify so i think the answer is -7

hope this helps :)

if a=1/8 and c=4, find b

Answers

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

What is the mean of two numbers?

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

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Put the following numbers in order (from
largest to smallest):
-55.5, -12.2, -12, -55

Answers

Answer:

-12.2, -12, -55.5 and -55

Answer:

Hey mate......

This is ur answer......

-55.5< -55< -12.2< -12

hope it helps,

mark me as the brainliest,

follow me....

how do i graph using slope intercept form

Answers

Answer:

Rise/Run

Step-by-step explanation:

how many you go up over how many to go over

B. Between what 2 integers the square root of the numbers can be found.
1. 23 2. 113 3. 339 4. 640 5. 75​

Answers

3737383747374373737373737373

The Charles River in Massachusetts is 130 km long.
How long will it be on a map drawn at the scale 1:2,000,000?

Answers

Answer: 6.5 cm

Step-by-step explanation: 1 km = 100,000 cm, so 130 km= 130,000,00 cm, 130,000,00÷2,000,000=6.5 cm

The Charles river will be "6.5 cm" long. A complete solution is provided below.

On the map,

→ 1 : 2,000,000

As we know,

The conversion of kilometer in to centimeter is:

→ [tex]1 \ km = 100,000 \ cm[/tex]

then,

→ [tex]130 \ km= 130,000,00 \ cm[/tex]

hence,

The river will be:

= [tex]\frac{130,000,00}{2,000,000}[/tex]

= [tex]6.5 \ cm[/tex]

Thus the above answer is the appropriate.

Learn more:

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HELP PLEASE!!!!!! FASTS!!!!! THANK YOU PLEASE AND THANK YOU KUCH APPRECIATED

Answers

B 1/2

Step-by-step explanation:

Rewrite as a simplified fraction.
\large{0.7\overline{8} = {?}}0.7
8
=?
was is 0.788888 8 is the number that is recoring HELP ME

Answers

0.78 can be written as the fraction 71/90 after simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 0.1.

To rewrite the repeating decimal 0.78 as a simplified fraction, we can use the concept of geometric series.

Let x = 0.78

Multiply both sides by 10 to shift the decimal point:

10x = 7.88

Subtract the original equation from the multiplied equation to eliminate the repeating part:

10x - x = 7.88 - 0.78

This simplifies to:

9x = 7.1

Now, divide both sides of the equation by 9 to isolate x:

x = 7.1/9

To express the fraction in simplest form, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:

GCD(7.1, 9) = 0.1

Dividing both the numerator and denominator by 0.1 yields:

7.1/9 ÷ 0.1/0.1 = 71/90

Therefore, the repeating decimal 0.78 is equivalent to the simplified fraction 71/90.

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Prove that the value of the expression is not divisible by 6 for any whole n:
(2n+1)(n+5)–2(n+3)–(5n+13).

Answers

Answer:

Step-by-step explanation:

(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)

+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14

2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but  14∦3

⇒ with n =3k, (*)∦ 3 (1)

+) if n = 3k + m (m∦ 3)

⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14

= 3(2.3k² + 2.km + 4k) +2m² + 4m -14

3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3

⇒ with n = 3k+m, (*) ∦ 3 (2)

(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3

⇒ (2n+1)(n+5)–2(n+3)–(5n+13)   is not divisible by 6 for any whole n

║is divisible∦ is not divisible
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