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Mama L [17]
3 years ago
8

While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the p

rice of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

$8.40

Step-by-step explanation:

Price in England = 1.4 pounds per Litre

Current exchange rate : 1 pound = 1.65 dollars

1 Litre = 0.26 gallons

If 1 Litre = 0.26 gallons

1 gallon = (1 / 0.26) litres = 3.8461538 litres

Therefore, cost per gallon in England = (1.4 × 3.8461538)

= 5.3846153 pounds

Then ;

If 1 pound = 1.56 dollars

Then cost per gallon in dollars equals

5.3846153 * 1.56 = 8.399999868 dollars

$8.40

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What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
MAVERICK [17]

3y=−4x+2

y = -4x/3 + 2/3

y = 3x/4 + 2/3

so the slope is 3/4 remember that perpendicular slope is just the opposite reciprocal of the original slope given.

8 0
3 years ago
Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.
ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that


a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps


b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong


c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct


d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong


correct answer is C

4 0
3 years ago
Read 2 more answers
Which ratio shows tangent if angle A.
Alexandra [31]

Answer:

8/15

Step-by-step explanation:

tangent = opposite/adjacent,

so tan(A) = 8/15

6 0
3 years ago
Evaluate expression of 2ac
miss Akunina [59]
We would do 2*a=4*c=6
4 0
3 years ago
Help ASAP please!!!!!!!!!​​
Katena32 [7]

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

∴ m∠C = 45°

The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

∵ m∠J = 15°

∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

∵ m∠J + m∠K + m∠L = 180°

→ Substitute the measures of ∠J and ∠L

∵ 15 + m∠K + 45 = 180

→ Add the like terms in the left side

∴ 60 + m∠K = 180

→ Subtract 60 from both sides

∴ 60 - 60 + m∠K = 180 - 60

∴ m∠K = 120°

∴ m∠B = m∠K

∴ Δ JKL is similar to Δ ABC

6 0
3 years ago
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