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Andreas93 [3]
1 year ago
6

If your car gets 28 miles per​ gallon, how much does it cost to drive 390 miles when gasoline costs ​$2.90 per​ gallon?

Mathematics
1 answer:
Valentin [98]1 year ago
8 0

Answer: x = $25.89

Step-by-step explanation:

This is a two step problem.  First we need to determine the number of gallons the car uses to drive the 250 miles:

250/28 ≈ 8.93 gallons

Then we just multiply the number of gallons by the price:

8.93 x 2.90 = $25.90

Alternate solution:  Use a proportion.  Since 1 gallon costs $2.90 and produces 28 miles, we can set up the following proportion:

2.90/28 = x/250

Cross-multiply and solve:

28x = 725

x = $25.89 (There is a one cent difference due to a rounding error in the first solution.  This solution avoids that error.)

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Factorise by grouping: x² - 5x + 2x - 10
IrinaK [193]

Answer:

(x + 2)(x - 5)

Step-by-step explanation:

Here are the steps:

x^2-5x+2x-10\\(x^2-5x)+(2x-10)\\x(x-5) + 2(x-5)\\(x + 2)(x-5)

4 0
3 years ago
Sophia bought 18 packs of lemonade each pack has 24 cans answer key
Juliette [100K]
Answer is 432 cans in total
18 packs times 24 cans in each is 432
5 0
2 years ago
The BJ Electrical Company needs to hire master electricians and apprentices for a one week project. Master electricians receive
Stells [14]

Answer:

The BJ Electrical Company

The BJ Electrical Company should hire:

8 master electricians and

22 apprentices

in order to accomplish the project and still meet the contract safety requirements.

Step-by-step explanation:

Number of workers needed = 30

Class of workers:

Master electrician, with per week salary = $750 per worker

Apprentices, with per week salary = $350 per worker

Number of inspection hours required from each master electrician = 3 hours

Total inspection hours for the project = 25 hours

Average number of master electricians needed = 25/3 = 8.333 = 8

Number of each type of worker needed:

Master electricians = 8

Apprentices = 22 (30 - 8)

Cost to be incurred for workers:

Master electricians = $6,000 (8 * $750)

Apprentices =               7,700 (22 * $350)

Total labor cost =      $13,700

5 0
3 years ago
What is -1060 degrees in radians
mart [117]
-18.5004901 that’s the answer! Hope this helps!
7 0
3 years ago
A rectangular piece of cardboard is 15 inches longer than it is wide. A 5-inch square is cut from each corner, and the remaining
HACTEHA [7]
Let x be the width of the cardboard, then the length is x+15. If 5 unches square is cut from each corner, then the new length is x+15-5·2=x+5 and the new width is x-5·2=x-10. The height of the formed box is 5 in. Now you can find the box volume:

V=\text{ width }\cdot \text{ length }\cdot \text{ height },\\ V=(x-10)\cdot (x+5)\cdot 5,\\ V=5(x^2-5x-50).


If the volume of the box is 1,250 cubic inches, then


5(x^2-5x-50)=1250,\\ x^2-5x-50=250,\\ x^2-5x-300=0,\\ D=(-5)^2-4\cdot (-300)=25+1200=1225,\\  \sqrt{D} =35,\\ x_{1,2}=\dfrac{5\pm 35}{2} =20,-15.


The length of the box is x+5=20+5=25 in. (the negative x is extra, because the length couldn't be negative).


Answer: the length of the box is 25 inches.

7 0
3 years ago
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