Assign two variables for each problem, and write the equations. Do not solve.

1 answer:

7 0

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."<span>the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "</span><span>There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$ </span>

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Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs.

Cloud [144]

Answer:

Yes this represents additive inverse,

Step-by-step explanation:

Since you are subtracting the same number 4 to get to zero.

5 0

3 years ago

3x-15x-9+20=2 rational inequality

elena55 [62]

Answer:

-12x+11=2

-12x=2-11

-12x=-9

x=-9\-12

x=3\4

3 0

3 years ago

How to solve the equations

Arada [10]

So first off, we need to establish that there are three terms that we need to find: a, c & E.

Let's write the three equations below:

Equation No. 1 -
a + c - 2E = 2

Equation No. 2 -
a - 2c = 5

Equation No. 3 -
- c + E = 4

To begin working out our answer, we will make (a) the subject of our second equation & (E) the subject of the third equation so that we can substitute them into the first equation as displayed below:

Equation No. 2 -
a - 2c = 5
a = 5 + 2c

Equation No. 3 -
- c + E = 4
E - c = 4
E = 4 + c

From there, we substitute the given equations for (a) & (E) into the first equation in order to make (c) the subject in the first equation as displayed below:

Equation No. 1 -
a + c - 2E = 2
( 5 + 2c ) + c - 2 ( 4 + c ) = 2
5 + 3c - 8 - 2c = 2
3c - 2c = 2 - 5 + 8
c = 5

Extending from this, by substituting the value of c, which is 5, into Equation No. 2 & 3, we will be able to also obtain the values of both (a) & (E) as displayed below:

Equation No. 2 -
a = 5 + 2c
a = 5 + 2 ( 5 )
a = 5 + 10
a = 15

Equation No. 3 -
E = 4 + c
E = 4 + ( 5 )
E = 9

Therefore, we have now successfully found the values of a, c & E as displayed below:

a = 15
c = 5
E = 9

If you want to check your answer, then simply substitue the values into Equation No. 1. If after solving the equations, the left-hand & right-hand side are equivalent, then the answer is correct. However, if it isn't equivalent, then the answer is either incorrect or you have made an error while solving thr equation. Here is the working out to check your answer for this question:

a + c - 2E = 2
( 15 ) + ( 5 ) - 2 ( 9 ) = 2
20 - 18 = 2
2 = 2

Therefore, the solution is correct.

7 0

4 years ago

Use the complex conjugate to find the absolute value of 8+12i

Setler [38]

Since the problem is asking us to do so, we are going to use the complex conjugate formula to find the absolute value of our complex number.

The complex conjugate formula is: $|z|=\sqrt{z(conjugate.of .z)}$

where

$z$ is the complex number

$|z|$ is the absolute value of the complex number

We know from our problem that our complex number is $8+2i$ , so $z=8+2i$ . Now to conjugate of our complex number, we just need to change the sign of the imaginary part: