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Jet001 [13]
3 years ago
7

L

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

the height between the table and the ceiling is 10 feet

Step-by-step explanation:

just subtract the 12.5 (height of the floor to ceiling) by 2.5 (height of the table)

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Lisa drove 80 miles, then increased her speed by 20 miles per hour for 180 miles. If the second part of the drive took 1 hour lo
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E is the correct solution
8 0
2 years ago
Solve the equation. Round to the nearest hundredth. Show work.
Elis [28]

Answer:

The value of x = 0.41

Step-by-step explanation:

∵ 6e^{2x}-5e^{x}=6

Let e^{x}=y

∴ e^{2x}=y^{2}

∴ 6y² - 5y = 6

∴ 6y² - 5y - 6 = 0 ⇒ factorize

∴ (3y + 2)(2y - 3) = 0

∴ 3y + 2 = 0 ⇒ 3y = -2 ⇒ y = -2/3

∴ 2y - 3 = 0 ⇒ 2y = 3 ⇒ y = 3/2

∵ y=e^{x}

∴ e^{x}=\frac{-2}{3} ⇒ refused

  (e^{ax} never gives -ve values)

∵ e^{x}=3/2 ⇒ insert <em>ln</em> in both sides

∵ lne^{ax}=axlne=ax ⇒ <em>ln</em>(e) <em>= 1</em>

∴ xlne=ln(3/2)

∴ x = ln(3/2) = 0.41

6 0
4 years ago
Members of a senior class held a car wash to raise funds for their senior prom. They charged $3 to wash a car and $5 to wash a p
pashok25 [27]

Answer:the number of cars that were washed is 50

Step-by-step explanation:

Let x represent the number of cars that members of a senior class.

Let y represent the number of pick-up truck or a sport utility vehicle that members of a senior class.

They charged $3 to wash a car and $5 to wash a pick-up truck or a sport utility vehicle and they earned a total of $275. This means that

3x + 5y = 275 - - - - - - - - -- - -1

They washed a total of 75 vehicles. This means that

x + y = 75

Substituting x = 75 - y into equation 1, it becomes

3(75 - y) + 5y = 275

225 - 3y + 5y = 275

- 3y + 5y = 275 - 225

2y = 50

y = 50/2 = 25

Substituting y = 25 into x = 75 - y, it becomes

x = 75 - 25 = 50

3 0
3 years ago
Vincent uses 2 cups of flour for every 12 muffins that he makes.What is the total number of cups of flour Vincent will use to ma
elixir [45]
If it takes 2 cups to make 12 muffins, then one cup will make six, half a cup will make 3, 1/4 will make 1 1/2 muffins, and 1/6 cup will make 1 muffin.

If you want 4 muffins, simply multiply 1/6 × 4 to get 2/3 cup.
3 0
4 years ago
Help me on math please asap
azamat
1. Right
2. Left

Hope it helps
3 0
3 years ago
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