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tensa zangetsu [6.8K]
2 years ago
15

1.Braden finished his math test 14 minutes before ariana did

Mathematics
1 answer:
suter [353]2 years ago
3 0

Answer:

Question 1

You would have to use the equation of 57-14=x or x+14=57

Either way you would have to use 57 minus 14 equals x.

57-14= 43

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A park ranger has 32 feet of fencing to fence four sides of a rectangular recycling site. What is the greatest area of recycling
wariber [46]
The greatest area he can fence is 64 ft².

In order to maximize area and minimize perimeter, we use dimensions that are as close to equivalent as possible.  32 feet of fence for 4 sides gives us 8 feet of fence per side.  We would have a square whose side length is 8; the area would be 8*8 = 64.
8 0
2 years ago
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What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0
2 years ago
Sue scored a total of 35 points in two games.she scored 6 times as many points in the second game than in the first.how many mor
kirill115 [55]
Okay,
Both games are: 35
First game: ?
Second game: 6 more than the first.
So,
first we subtract 6 from 35.
35 - 6 = 29
Divide by 2.
49 divided by 2 = 14.5
Add the 6 point= 14.5 + 6 = 20.5
To make sure add.
First game: 14.5
Second game:20.5
14.5 + 20.5 = 35
3 0
2 years ago
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this proble
Jlenok [28]
33 in because 1056 divided by 32 is 33
hope you pass your test
3 0
2 years ago
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A tourist starts to walk up a mountain path that is 31 miles long at the rate of 4 miles per hour. After walking for a while, he
Sunny_sXe [5.5K]

Answer:

He pays to the cab driver for 25 miles.

Step-by-step explanation:

Consider the provided information.

Let us consider he walks x miles at the rate of 4 miles per hour.

As we know Time=\frac{Distance}{Speed}

Therefore, time taken is: Time=\frac{x}{4}

He get a taxi for (31-x) miles at the rate of 50 miles per hour.

Therefore, time taken is: Time=\frac{31-x}{50}

It took 2 hours after he started.

That means the sum of time take is 2 hours.

\frac{x}{4}+\frac{31-x}{50}=2

\frac{25x+62-2x}{100}= 2

23x+62= 200

23x= 138

x= 6

Hence he walk 6 miles and he get a taxi for 31-6=25 miles.

He pays to the cab driver for 25 miles.

5 0
2 years ago
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