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eimsori [14]
3 years ago
9

A roller coaster train with 6 passenger cars and the front decoration has a mass of 3,500 kg. When the train has

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

Each passenger car: 550 kg

Front decoration: 200 kg

Step-by-step explanation:

Mass of passenger car: p

Mass of front decoration: d

6p + d = 3500 (1)

4p + d = 2400 (2)

(1) - (2)

2p = 1100

p = 550 kg

4(550) + d = 2400

d = 2400 - 2200

d = 200 kg

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Exponential form of logx=3
muminat

Answer:

10^3 = x

Step-by-step explanation:

\log_b x = y \Leftrightarrow b^y = x

A logarithm is an exponent. For example, the log base 10 of 100 is the exponent you need to raise the base, 10, to get 100. It happens to be 2, so

\log_{10} 100 = 2 can be written as 10^2 = 100

When you change log form to exponential form, keep these things in mind: The base of the log is also the base of the exponential form. The number that equals the log is the exponent. The number you take the log of is equal to the base raised to the exponent.

Now let's look at your problem.

\log x = 3

Since no base is shown, the base is 10.

\log_{10} x = 3

The base is 10. The exponent is 3. The base raised to the exponent equals x.

\log_{10} x = 3 \Leftrightarrow 10^3 = x

6 0
3 years ago
Find the sum of 136 +212. expkain why u did r did not regroup
mario62 [17]
Line up 136 and 212 with 136 on top and 212 on the bottom.

  136
+212
____

now add up the end numbers, 6 and 2. That's 8. Since 8 is only a single-digit number, it fits in the space. Write that down under 6 and 2. 
Next, add up the middle numbers, 3 and 1. That's 4, it fits in the space, so you don't need to regroup here either. 
Now add up the first number in each, and that adds up to 3. 

The sum is the number you wrote down! It should look something like this.

  136
+212
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348

You can say that the sum of these numbers is 348, and you did not have to regroup because the sums of each digit was under 10!
6 0
3 years ago
Read 2 more answers
PLISSSS HELP IS FOR A TEST!!!!
Mila [183]

Answer:

56=78b

Step-by-step explanation:

The vertices of quadrilateral MNPQ are M(28, 1), N(3, 4), P(7, 21), and Q(24, 24).

a. The coordinates of M' are (16,4) after a translation. State the translation rule.

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7 0
2 years ago
Find the first, fourth, and eighth terms of the sequence. A(n)= -2 x 5^n-1
melomori [17]
You've got
A(n)=-2(5)^{n-1}

just sub the number of the term to findd the term
first term is A(1)=-2(5)^(1-1)=-2(5)^0=-2(1)=-2
4th is A(4)=-2(5)^(4-1)=-2(5)^3=-2(125)=-250
8th term is A(8)=-2(5)^(8-1)=-2(5)^7=-2(78125)=-156250
6 0
3 years ago
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slava [35]

Answer:

The answer will be 3.55

Step-by-step explanation:


4 0
3 years ago
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