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Naddika [18.5K]
3 years ago
5

A movie fanatic has amassed a giant collection of home movies, some on DVD and others in the older VHS cassette mode. If the fan

atic has 308308308 movies on DVD, which comprises 31.3\%31.3%31, point, 3, percent of the total collection, how many total movies are in the collection?
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

984

Step-by-step explanation:

DVDs comprises 31.3% of total. And we also know that there are 308 DVD. Thus, we can say:

308 is 31.3% of total

We can let total be x, thus we can write an equation as:

308 = 0.313x

Solving for x:

308 = 0.313x\\x=\frac{308}{0.313}\\x=984.02

We can round and say there are 984 total movies

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An airplane can travel 365mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 mi
Anestetic [448]

Answer: the speed of the wind is 365 mph

Step-by-step explanation:

Let x represent the speed of the wind.

An airplane can travel 365mph in still air. If it travels 2716 miles with the wind, it means that its total speed while flying with the wind is (365 + x) mph.

Time = distance/speed

Time spent in flying with the wind is

2716/(365 + x)

In the same length of time, it travels 2394 miles against the wind. it means that its total speed while flying against the wind is (365 - x) mph.

Time spent in flying against the wind is

2394/(365 - x)

Since the time is the same, it means that

2716/(365 + x) = 2394/(365 - x)

Cross multiplying, it becomes

2716(365 - x) = 2394(365 + x)

991340 - 2716x = 873810 + 2394x

2394x + 2716x = 991340 - 873810

5110x = 1865150

x = 1865150/5110

x = 365 mph

5 0
3 years ago
Please solve as fast as possible...<br>No spams please......​
lisabon 2012 [21]

Answer:

In ∆ABD and ∆ACD

<BAD =<CAD ( each are half of <A )

<D=<D ( each equal to 90°)

AD = AD ( common)

So ∆ ABD is congruent to ∆ ACD.

Then AB =AC (by C.P.C.T)

Hence,∆ABC is an iso - sceles triangle.

8 0
3 years ago
Please help with this problem!
Dovator [93]

Answer:

x+14

Step-by-step explanation:

(12+x)+2

12+x+2

x+(12+2)

x+14

4 0
3 years ago
Read 2 more answers
Which expression is equivalent to 5^3√6c+7^3√6c, if c ≠ 0
scZoUnD [109]

Answer:

Option C

Step-by-step explanation:

complete question

A. 35[3]6cB. 12[3]12cC. 12[3]6cD.72c

The given equation can be written as

5^3√6c+7^3√6c

5 * \sqrt{3 *3*2c} + 7 * \sqrt{3 *3*2c}

5 * 3 *\sqrt{2c} + 7 * 3  *\sqrt{2c}

15  *\sqrt{2c} + 21 *\sqrt{2c}

36 *\sqrt{2c}

12 [3]*\sqrt{2c}

Option C is correct

4 0
3 years ago
How can you use substitution to solve a system of linear equations?
makvit [3.9K]
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.

Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
6 0
3 years ago
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