answer.
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
Viefleur [7K]
2 years ago
4

Victoria filled up her car with gas before embarking on a road trip across the country.

Mathematics
1 answer:
LenaWriter [7]2 years ago
8 0

Answer:

G = -1.75t + 14

Step-by-step explanation:

Find how many gallons she had originally:

Multiply 1.75 by 4 to find how much she used in 4 hours:

1.75(4)

= 7

Since she had 7 gallons left after 4 hours, she started off with 14 gallons.

Create an equation with the format y = mx + b

b (the y intercept) is 14 in this situation, since that is the starting value.

m (the slope) is -1.75, because the car uses 1.75 gallons each hour.

Put these into the equation:

y = -1.75x + 14

Use the variables G (number of gallons remaining) and t (hours)

G = -1.75t + 14 is the equation

You might be interested in
The 8th term of a GP is -7/32 find its common ratio if its first term is 28
Ugo [173]
<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

       \text{8}^{th} term of a Geometric progression is given as \dfrac{-7}{32}. The first term is given as 28.

       Any general Geometric progression can be represented using the series a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}.

The first term in such a GP is given by a, common ratio by r, and the n^{th} term is given by ar^{n-1}.

       In the given GP, a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}

∴ Common ratio is \dfrac{-1}{2}.

5 0
2 years ago
CRITICAL THINKING A local zoo employs 36 people to take care of the animals each day. At most, 24 of the employees work full tim
k0ka [10]

We assume all employees are either full-time or part-time.

36 = 24 + 12

If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)

_____

You can write the inequality in two stages.

  1. First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
  2. Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.

Let f and p represent the numbers of full-time and part-time employees, respectively.

... f + p = 36 . . . . . . given

... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.

... f ≤ 24 . . . . . . . . . given

... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.

... 36 - 24 ≤ p . . . . add p-24

... p ≥ 12 . . . . . . . . the solution to the inequality

5 0
2 years ago
A police officer, in her car, is watching a person in a sports car. Assume the locations of the cars are mapped onto the coordin
Paha777 [63]

is there and answers like mutipol choice

5 0
2 years ago
Read 2 more answers
You are making a poster that will have a uniform border, as shown. the total area of the poster is 722 square inches. find the w
olga55 [171]
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.
 For this case the area is given by:
 A = (22 + x) * (28 + x) = 722
 Rewriting we have:
 616 + 22x + 28x + x ^ 2 = 722
 x ^ 2 + 50x + 616 - 722 = 0
 x ^ 2 + 50x - 106 = 0
 Solving the polynomial we have:
 x1 = 2.04
 x2 = -52.04
 We take the positive root:
 x = 2.04 inches:
 Answer:
 
The width of the border to the nearest inch is:
 
x = 2inches

6 0
2 years ago
You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (\text{km})(km)left parenthesi
kherson [118]

Answer:

Step-by-step explanation:

First you will multiply Rivers edge 3x8=24 and then wooden marsh 8x20=160, lastly canyon creek 15x35=525. So it would be canyon creek, wooden marsh and rivers edge!

3 0
2 years ago
Read 2 more answers
Other questions:
  • A rectangular garden has a width of 90 feet.The perimeter is 500 feet.What is the length of the garden?
    10·2 answers
  • Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in
    11·2 answers
  • In the solution of the equation 5-3x=2x+9, 3x is added to the equation first. Which of the following should be done next? 1. add
    10·1 answer
  • the circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads toward the center
    11·1 answer
  • A coat was originally priced at $50. It went on sale for $35. What was the percent that the cost was discounted?
    12·1 answer
  • In a class of 32 students, the mean height of the 14 boys is 1.56 metres. The mean height of all 32 students is 1.515 metres.
    7·2 answers
  • Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary
    6·1 answer
  • Dale, Thomas, and Betty plan to split the cost of a round-trip car ride from
    11·2 answers
  • Consider a disease whose presence can be identified by carrying out a blood test. Let p denote the probability that a randomly s
    14·1 answer
  • (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27) The line is in the form y=mx+b. What is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!