1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zigmanuir [339]
3 years ago
11

pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition

al costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?
Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

  • y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

  • y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

You might be interested in
A recipe for cookies calls for 3/5 of a cup of sugar per batch. Jackie uses 12 3/5 cups of sugar to make multiple batches of coo
Vitek1552 [10]
She made 21 batches! Can I have brainlyest please?
8 0
3 years ago
What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part
Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

1.5\times39.4=59

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

\frac{59}{39.4}=1.5

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

\frac{186}{1.06}=175

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

175\times1.06=186

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0
1 year ago
Find the factors of 4x2-16x-9.
zzz [600]

Answer:

Step-by-step explanation:

4x^2-16x-9.\\Writ -16x - as -a -difference\\ 4x^2 +2x-18x -9 \\Factor -out- common- terms\\2x(2x+1)-9(2x+1)\\ Factor -out (2x+1)\\(2x+1)(2x-9)

I Hope It Helps :)

5 0
3 years ago
Read 2 more answers
A photo of a beetle in a science book is increased to 535​% as large as the actual size. If the beetle is 14 ​millimeters, what
AnnZ [28]

Answer: 74.9 millimeters

Step-by-step explanation:

From the question, a photo of a beetle in a science book was.increased to 535​% as large as its actual size and the beetle.has a actual size of 14 ​millimeters,

The size of the beetle on the photo will be 535% of 14 millimeters. This will be:

= 535% of 14

= 535/100 × 14

= 5.35 × 14

= 74.9 millimeters

4 0
3 years ago
The table shows how much each fift grade room earned from a bake sale.The money is going to be given to 6 charities.If each Char
finlep [7]
I can't see the table, but you find the total amount that the entire fifth grade made and divide it by six. I would round it to the nearest hundredth.
6 0
4 years ago
Other questions:
  • Ill give branliest please, please, please help
    13·2 answers
  • 9 over 24 subtract 1 and 8 over 24
    8·1 answer
  • Marion has A bicycle that she is planning to take for a ride. The room of the rear wheel why is 41 cm from the center of the whe
    7·1 answer
  • 18........................
    5·2 answers
  • What is the value of the digit 2 in 82.6?​
    7·2 answers
  • Dara needs 1/2 teaspoon of vanilla for a recipe. If she only has a 1/8 teaspoon to use for measuring, how many times must she fi
    13·1 answer
  • HELP ME ASPPP! GIVE OUT POINT
    10·2 answers
  • Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 t
    9·1 answer
  • Someone help me out please Extra points please!
    12·1 answer
  • Write the range of each function for the given domain:<br> f(x) = 3 + 2x; Domain = {-8, 4)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!