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sergeinik [125]
2 years ago
11

Which two are equivalent?

Mathematics
1 answer:
never [62]2 years ago
7 0

Answer:

Expression I and IV

Step-by-step explanation:

Expression I simplified :

  • 3n + 7 + n + 4n
  • 8n + 7
  • Expression I = Expression IV
You might be interested in
What fraction is equal to 4/6
Rama09 [41]
4/6
= (4/2) / (6/2) (divide both numerator and denominator by 2)
= 2/3

The final answer is 2/3~
6 0
3 years ago
George's page contains twice as many type words as Bill's paid and Bill's page contains 50 fewer words and Charlie's page. If ea
defon
For this, we use simultaneous equations. Let George's page be g, Charlie's be c and Bill's page be b.

First, <span>George's page contains twice as many type words as Bill's.

Thus, g = 2b.

</span><span>Second, Bill's page contains 50 fewer words than Charlie's page.

Thus, b = c - 50.

</span>If each person can type 60 words per minute, after one minute (i.e. when 60 more words have been typed) <span>the difference between twice the number of words on bills page and the number of words on Charlie's page is 210.

We can express that as 2b - c = 210.

Now we need to find b, since it represents Bill's page.

We can substitute b for (c - 50) since b = c - 50, into the equation 2b - c = 210. This makes it 2(c - 50) - c = 210.

We can expand this to 2c - 100 - c = 210.

We can simplify this to c - 100 = 210.

Add 100 to both sides.

c - 100 + 100 = 210 + 100

Then simplify: c = 210 + 100 = 310.

Now that we know c, we can use the first equation to find b.

b = c - 50 = 310 - 50 = 260.

260 is your answer. I don't know where George comes into it. Maybe it's a red herring!</span>
8 0
3 years ago
Read 2 more answers
What is -6 and -4? find the distance between each pair of integers on a number line.
Brilliant_brown [7]
The answer will be 2
8 0
3 years ago
If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by
Vitek1552 [10]

Answer:

a) Average velocity at 0.1 s is 696 ft/s.

b) Average velocity at 0.01 s is 7536 ft/s.

c) Average velocity at 0.001 s is 75936 ft/s.

Step-by-step explanation:

Given : If a ball is thrown straight up into the air with an initial velocity of 70 ft/s, its height in feet after t seconds is given by y = 70t-16t^2.

To find : The average velocity for the time period beginning when t = 2 and lasting.  a. 0.1 s. , b. 0.01 s. , c. 0.001 s.

Solution :    

a) The average velocity for the time period beginning when t = 2 and lasting 0.1 s.

(\text{Average velocity})_{0.1\ s}=\frac{\text{Change in height}}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{h_{2.1}-h_2}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{(70(2.1)-16(2.1)^2)-(70(0.1)-16(0.1)^2)}{0.1}

(\text{Average velocity})_{0.1\ s}=\frac{69.6}{0.1}

(\text{Average velocity})_{0.1\ s}=696\ ft/s

b) The average velocity for the time period beginning when t = 2 and lasting 0.01 s.

(\text{Average velocity})_{0.01\ s}=\frac{\text{Change in height}}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{h_{2.01}-h_2}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{(70(2.01)-16(2.01)^2)-(70(0.01)-16(0.01)^2)}{0.01}

(\text{Average velocity})_{0.01\ s}=\frac{75.36}{0.01}

(\text{Average velocity})_{0.01\ s}=7536\ ft/s

c) The average velocity for the time period beginning when t = 2 and lasting 0.001 s.

(\text{Average velocity})_{0.001\ s}=\frac{\text{Change in height}}{0.001}  

(\text{Average velocity})_{0.001\ s}=\frac{h_{2.001}-h_2}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{(70(2.001)-16(2.001)^2)-(70(0.001)-16(0.001)^2)}{0.001}

(\text{Average velocity})_{0.001\ s}=\frac{75.936}{0.001}

(\text{Average velocity})_{0.001\ s}=75936\ ft/s

5 0
3 years ago
What is the sum of the complex numbers 2 + 4i,and 3 − 7i, where i=-1
Elodia [21]

Answer:

5 - 3i.

Step-by-step explanation:

2 + 4i + 3 - 7i       Bring like terms together:

= 2 + 3 + 4i - 71

= 5 - 3i.

5 0
2 years ago
Read 2 more answers
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