Answer:
Step-by-step explanation:
Given
Romanticism
Gothic
Required
Complete the table <em>(See attachment for complete question)</em>
The table can be represented as:
The "total" column represents the number of males and female sampled, respectively.
The "total" row represents the number of Romanticism and Gothic sampled, respectively.
The overall sample is calculated by adding up the number of males and females or the number of Romanticism and Gothic
or
Given:
5 pounds = 2.268 kilograms
To find:
The number of kilograms in 2 pounds.
Solution:
We have,
5 pounds = 2.268 kilograms
Divide both sides by 5.
1 pounds = kilograms
1 pounds = 0.4536 kilograms
Multiply both sides by 2.
2 pounds = 2×0.4536 kilograms
2 pounds = 0.9072 kilograms
Therefore, the correct option is B.
Answer:
a ) y = 1 and x = -1
d) y = 5 and x = -1/2
Step-by-step explanation:
<h2><u>Substitution method</u></h2><h2><u>Question a</u></h2>y = x+ 2
y = 2x + 3
<em>we can make the first formula in terms of x , so we can place in into the second formula</em>
y = x + 2
x = y - 2
now put y - 2 where x is in the second equation
y = 2x + 3
y = 2(y - 2) + 3
y = 2y - 4 +3
now solve
4 - 3 = 2y -y
y = 1
since y = 1 we can find what x is by putting into the first formula
y = x +2
x = y - 2
x = (1) -2
x = -1
<h3><u>hence y = 1 and x = -1 </u></h3><h3><u /></h3><h2><u>Question d</u></h2>y = 2x + 6
y = 4 - 2x
<em>we can make the first formula in terms of x , so we can place in into the second formula</em>
y = 2x + 6
y - 6 = 2x
x = (y-6)/ 2
now place (y-6)/2 where x is in the second formula
y = 4 -2x
y = 4 - 2 ()
now solve
the multiplication by 2 and division by 2 are cancelled out
hence making the simplified equation as:
y = 4 - y + 6
2y = 4 + 6
2y = 10
y = 5
now place this into the first equation
y = 2x + 6
y - 6 = 2x
x = (y-6)/ 2
x = (5-6)/2
x = -1/2
<h3><u>hence y = 5 and x = -1/2</u></h3>