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Anika [276]
3 years ago
12

Javier drove 299.6 miles on 14 gallons of gas. At

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

Answer:

545.7 miles.

Step-by-step explanation:

299.6/14 = 21.4

1 gallon will last 21.4 miles

Multiply 21.4 by 25.5

21.4*25.5 = 545.7

Therefore, Javier can travel 545.7 miles on 25.5 gallons.

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Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12
Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0
3 years ago
There is 0.3 kg of tin in a sword.
Sauron [17]

Answer:

2 kg

Step-by-step explanation:

15/100 x = 0.3

x = 0.3 * 100/15

x = 2

7 0
2 years ago
Jamie rode her bike home for 5 blocks before realizing she forgot her math book at school and would need it for her homework. Sh
Alik [6]
B shows her getting closer to home, immediately turning round, gives time for finding book then riding all the way home at a constant speed
5 0
3 years ago
Read 2 more answers
Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration
murzikaleks [220]

The total cost curve shows the cost of total shipment from the different

cities.

  • a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.

  • b. The city that provides the lowest overall cost is; <u>Salt Lake City</u>.

Reasons:

The given parameters are;

The number of shipment per = From 550,000 to 600,000 per year

The given table is presented as follows;

\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right]

a. Required:

The plot total cost curve for the locations on a single graph.

Solution:

  • Please find attached the graph of the total cost curves created with MS Excel

b. Required:

The city that provides the lowest overall cost.

Solution:

The two cities with the lowest overall costs are Denver and Salt Lake City.

  • From the total cost curve, the area under the curves are;

Area under the curve for Denver;

(7557500 + 7790000) ÷ 2 × 50,000 = 383687500000

Area under the curve for Salt Lake City

(7487500 + 7850000) ÷ 2 × 50,000 = 383437500000

Therefore;

  • <u>Salt Lake City provides the lowest overall costs</u>.

Learn more about total cost curves here:

brainly.com/question/4888738

4 0
2 years ago
In what year 200, the population of Virginia was about 7,400,000.
Rus_ich [418]
For this case we have the following function:
 f (x) = 7,400,000 (1,054) ^ x
 Where,
 x represents time in years.
 Substituting f (x) = 15000000 we have:
 15000000 = 7,400,000 (1,054) ^ x
 Clearing x we have:
 (1,054) ^ x = (15000000) / (7400000)
 log1.054 ((1.054) ^ x) = log1.054 ((15000000) / (7400000))
 x = log1.054 ((15000000) / (7400000))
 x = 13.4 years
 Rounding to the nearest year:
 x = 14 years
 Answer:
 
the population will reach 15,000,000 in 2014.
8 0
3 years ago
Read 2 more answers
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