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laiz [17]
3 years ago
11

The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was$2.89 . Find the percentage decrease. Rou

nd to the nearest tenth of a percent.
Mathematics
2 answers:
alexandr1967 [171]3 years ago
5 0
Decrease = initial price - final price

% decrease = [ (initial price - final price)  / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 =  2.08, which can be rounded to 2.1

Answer: 2.1 %
Yanka [14]3 years ago
3 0
2.83 to 2.89's percentage of decrease is....
   this is how you calculate this. You first use 2.89 minus 2.83. The answer is 0.06. Then use 0.06 to divide with 2.89. The anser is 0.020.For it to turn into a percentage number, times 0.020 with a hundred. And the answer is 2. So it is a 2 percent decrease. I didn't know how to round it though.

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
Seven hundred twenty nine times eighty four
Aleksandr-060686 [28]

Answer:

61236

Step-by-step explanation:

4 0
3 years ago
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How many boxes can a machine pack in 25 min if the machine packs boxes at a rate of 50 boxes per minute? Enter your answers into
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If the machine can pack 50 boxes a minute, that would mean you have to multiply 50 x 25 which gives you your answer of 1,250
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3 years ago
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18s -17s+1=20 solve for s
liubo4ka [24]

Answer:

s=19

Step-by-step explanation:

18s-17s+1=20

s+1=20

s=20-1

s=19

6 0
3 years ago
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Suppose ΔXYZ is given, and you want to construct ΔABC so that the triangles are congruent. Which constructions would guarantee t
bekas [8.4K]

Answer:

A: constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX

C: constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X

Step-by-step explanation:

* Lets revise the ways of constructing a triangle

- There are 3 ways to construct a triangle

# You must have length of one side and measures of two angles which

  are the endpoint of the side

# You must have a length of two sides and the measure of the including

  angle between the two sides

# You must have the length of the 3 sides

* Lets solve the problem

∵ Δ XYZ ≅ Δ ABC

∴ XY = AB , YZ = BC , ZX = CA

∴ m∠ X = m∠ A , m∠ Y = m∠ B , m∠ Z = m∠ C

- To construct Δ ABC You can use:

# The length of the 3 sides

∵ AB ≅ XY , BC ≅ YZ , CA ≅ ZX

∴ constructing ΔABC so that AB ≅ XY, BC ≅ YZ, and CA ≅ ZX ⇒ A

# The length of two sides and the measure of the including angle

∵ AB ≅ XY , CA = ZX

∵ The including angles between the sides are ∠A and ∠X

∴ constructing ΔABC so that AB ≅ XY, CA ≅ ZX, and ∠A ≅ ∠X ⇒ C

# The length of one side and the measures of two angles which are

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∵ CA ≅ ZX

∵ The end points are C , A and Z , X

∴ constructing ΔABC so that CA ≅ ZX, ∠A ≅ ∠X, and ∠C ≅ ∠Z

- But this answer not in the choices

∴ The answer is A and C

4 0
3 years ago
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