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Ilya [14]
3 years ago
9

How do you do this equation Laura's paper airplane flew 8 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and

solve an equation to show how far Max's paper airplane flew.
Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

  • laura's distance = max's distance + 2 3/4 feet
  • max's distance = 5 feet 5 inches

Step-by-step explanation:

If you consider the English-language meaning of the description of the distances, you can see there might be several ways you could write an equation that says the same thing. Some of them are ...

  laura's distance = max's distance + 2 3/4 feet

  laura's distance - max's distance = 2 3/4 feet

  laura's distance - 2 3/4 feet = max's distance

The first of these equations is shown as an answer above. The last of these equations gives max's distance directly, so is the most useful for finding that value.

  laura's distance - 2 3/4 feet = max's distance

  8 1/6 feet - 2 3/4 feet = max's distance

  5 5/12 feet = max's distance . . . . . . do the arithmetic

_____

Describing addition and subtraction of mixed numbers is beyond the scope of this answer. Many calculators can work with fractions directly, in case you cannot do it by hand.

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Molly must drive across a bridge over a river eight times each week. Because the bridge is narrow and traffic is congested, Moll
oee [108]

Based on Molly's willingness to pay for the 8th trip, and the number of trips she can make over the bridge, her willingness to pay for the bridge repair would be<u> $1.00.</u>

<h3>What is Molly's willingness to pay for taxes to fix the bridge?</h3><h3 />

Molly's willingness to pay for trips is equal to the total consumer surplus she gets.

This means that her consumer surplus is $0.50.

With the bridge fixed, she can make 2 more trips than before because she can make 10 trips.

Her willingnesss to pay for the taxes will therefore be equal to her willingness to pay for the remaining trips:

= 0.50 x 2

= $1.00

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8 0
2 years ago
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
Last one anyone that can help me out?
Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0
3 years ago
Subtracting fractions...please show your work and out in simplest form
Neporo4naja [7]
For (A.) Get a common denominator, 40/12 - 9/12 = 31/12 or (2 and 7/12)
For (B.) Get a common denominator, 24/15 - 10/15 = 14/15 (Simplified)
For (C.) Get a common denominator, 51/30 - 25/30 = 26/30 or (13/15)
For (D.) Get a common denominator, 14/6 - 9/6 = 5/6 (Simplified)

Hope this helps!
PS: (Rate me brainliest?)
3 0
3 years ago
2/10 clear and 18/100 orange. The rest are red and blue. There are 2 more red marbles than blue marbles. What fraction represent
romanna [79]

Answer:

33/100 red, 29/100 blue

Step-by-step explanation:

2/10=20/100

20+18=38

38/100 orange/clear marbles

100-38=62

62 red/blue marbles

62/2=31

31 blue, 31 red

"There are 2 more red marbles than blue marbles."

31-2=29

31+2=33

33/100 red, 29/100 blue.

4 0
3 years ago
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