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Andrej [43]
2 years ago
11

Fill in the missing term on each line. Simplify any fractions.

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

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Write the expression in standard form. five divided by quantity three minus fifteen i.
EleoNora [17]
Standard form is a+bi where a and b are real numbers
remeber that i²=-1

ok

\frac{5}{3-15i}
we got to get the i out of the denomenator
remember the differnce of 2 perfect squares where (a-b)(a+b)=a²-b²

so multiply the whole thing by \frac{3+15i}{3+15i}
we get
\frac{5(3+15i)}{3^2-(15i)^2}=\frac{15+75i}{9-225(-1)}=\frac{15+75i}{9+225}=\frac{15+75i}{234}=\frac{15}{234}+\frac{75i}{234}=\frac{15}{234}+\frac{75}{234}i=\frac{5}{78}+\frac{25}{78}i

in standard form, it is \frac{5}{78}+\frac{25}{78}i
5 0
3 years ago
The numerator of a certain fraction is to its denominator as 2 to 3; if 5 be added to the numerator the ratio will be as 3 to 2;
vova2212 [387]
N= numerator
D= denominator

N:D ==> 2:3

2:3, 4:6, 6:9... And so on...

The pattern here is that the numerator increases by 2 and the denominator by 3. Easy right?

Now 5 is added to the "n".

Now it is N:D ==> 3:2

3:2, 6:4, 9:6... And so on...

The pattern here is inverted then the 2:3 one.

If I'm right then which one (you might have to continue the process/pattern) then one of them will increase by 5.

3 => 2 = +1 (2+1=3)
6 => 4 = +2 (4+2=6)
9 => 6 = +3 (6+3=9)
12 => 8 = +4 (8+4=12)
15 => 10 = +5 (10+5=15)
18 => 12= +6 (12+6=18)

Q. Which one is +5?

A. 15:10

That is what "I" think it is.

Now, the question is,
Does it work? Does it fit the above description?

Q. Does it even work? Does it fit the above description?
6 0
3 years ago
Which measurements most accurately describe the weight of a truck?
sergij07 [2.7K]
I would say b
hope it helped!
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Camille said 4/5is equivalent to 24/30. Check her work by making a table of equivalent ratios
Nataly [62]

<em>The five equivalent fractions of 4/5 are: </em>

<em> 4 × 2/5 × 2 = 8/10 </em>

<em> 4 × 3/5 × 3 = 12/15 </em>

<em> 4 × 4/5 × 4 = 16/20 </em>

<em> 4 × 5/5 × 5 = 20/25 </em>

<em> 4 × 6/5 × 6 = 24/30</em>

<em />

<em>8 : 10</em>

<em>12 : 15</em>

<em>16 : 20</em>

<em>20 : 25</em>

<em>24 : 30</em>

3 0
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