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inessss [21]
2 years ago
11

A scale drawing of a lake has a scale of 1 cm to 40 m. If the actual width of the lake is 1,000 m, what is the width of the lake

on the scale drawing?
Mathematics
1 answer:
kondaur [170]2 years ago
6 0

Answer:

25cm

Step-by-step explanation:

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A scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 25
Ksju [112]
y = 25\cdot~3^x\\ \\ 1170 = 25\cdot~3^x\\ \\ \frac{1170}{25} = 3^x\\ \\ \frac{243}{5} = 3^x\\ \\ log\ \frac{243}{5} = log~3^x\\ \\ log~243-log~5=x~log~3\\ \\ 
 log~3^5-log~5=x~log~3\\ \\ 5~log~3-log~5 = x~log~3\\ \\ 5(0,48)-0,70= 0,48x\\ \\ 2,4-0,7 = 0,48x\\ \\ 1,7=0,48x\\ \\ x=\frac{1,7}{0,48}\\ \\ \large{\boxed{x=3,54\ h}}
6 0
3 years ago
Read 2 more answers
Please help me on a test 2 3/4 + 5 1/2
drek231 [11]

Answer: 8 1/4

Step-by-step explanation:

2 3/4 + 5 1/2 = ?

Least common denominator is 4

2 3/4 + 5 2/4 = ?

2(4)+3 = 11

5(4) + 2 = 22

so the equation becomes

11/4 + 22/4 = 33/4 = 8 1/4

7 0
3 years ago
I WILL CHOOSE BRAINLIEST as long as it LOOKS correct<br><br> Solve 3 ( x − 4 ) = 12 x
omeli [17]

Answer:

The answer is (-4/3)

Step-by-step explanation:

3(x − 4) = 12x

Multiply (x – 4) by 3 we get,

3(x – 4) = 12x

3x – 12 = 12x

3x – 12x – 12 + 12 = 12x – 12x + 12

-9x = 12

-9x/(-9) = -12/9

x = -4/3

Thus, The value of x is -4/3

<u>-TheUnknownScientist 72</u>

4 0
1 year ago
Read 2 more answers
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
-2 + 3n&lt; 28 and 6n - 7 &gt; 17
sveta [45]

Answer:

N< 10 and N>4

Step-by-step explanation:

-2+3n< 28. =. 3n < 30. =. N < 10

+2. +2 ÷3. ÷3

6n - 7 > 17. =. 6n > 24. =. N > 4

+7. +7. ÷ 6. ÷ 6

8 0
3 years ago
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