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notka56 [123]
3 years ago
8

Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a

gallon of oil next March? Round your answer to the nearest hundredth.
Mathematics
1 answer:
Zolol [24]3 years ago
6 0

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×\frac{3}{2}=\frac{22.2}{2}=11.1

The price of oil in March will be $11.10 per gallon.

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Semmy [17]

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

(38×3)/(3×7)

(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer:  38/7

8 0
3 years ago
What is the product of 3x+4 and 6x^{2} −5x+7?
LUCKY_DIMON [66]

(3x + 4)(6 {x}^{2}  - 5x + 7) \\  = 18 {x}^{3}  - 15 {x}^{2}  + 21x + 24 {x}^{2}  - 20x + 28 \\  = 18 {x}^{3}  + 9 {x}^{2}  + x + 28

I hope I helped you^_^

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Answer:

  see the attachment

Step-by-step explanation:

1.  Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.

2.  Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.

3.  Angle GMK is supplementary to angle JMG.

4.  Vertical angles are congruent. See question 2.

5.  See question 1.

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