Sure, let's solve the given equations step by step and then find the value of the expression [tex]\( A + B \times C \)[/tex].
1. Solving for [tex]\( A \)[/tex]:
The equation is:
[tex]\[
A + A = 30
\][/tex]
Simplifying this, we get:
[tex]\[
2A = 30
\][/tex]
Dividing both sides by 2:
[tex]\[
A = \frac{30}{2} = 15.0
\][/tex]
2. Solving for [tex]\( B \)[/tex]:
The equation is:
[tex]\[
B + B = 20
\][/tex]
Simplifying this, we get:
[tex]\[
2B = 20
\][/tex]
Dividing both sides by 2:
[tex]\[
B = \frac{20}{2} = 10.0
\][/tex]
3. Solving for [tex]\( C \)[/tex]:
The equation is:
[tex]\[
C + C = 8
\][/tex]
Simplifying this, we get:
[tex]\[
2C = 8
\][/tex]
Dividing both sides by 2:
[tex]\[
C = \frac{8}{2} = 4.0
\][/tex]
4. Calculating the expression [tex]\( A + B \times C \)[/tex]:
Now that we have the values of [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex]:
[tex]\[
A = 15.0, \quad B = 10.0, \quad C = 4.0
\][/tex]
We can substitute these values into the expression [tex]\( A + B \times C \)[/tex]:
[tex]\[
A + B \times C = 15.0 + 10.0 \times 4.0
\][/tex]
First, we calculate [tex]\( B \times C \)[/tex]:
[tex]\[
10.0 \times 4.0 = 40.0
\][/tex]
Then, we add [tex]\( A \)[/tex]:
[tex]\[
15.0 + 40.0 = 55.0
\][/tex]
So, the value of [tex]\( A + B \times C \)[/tex] is [tex]\( 55.0 \)[/tex].
