Answer:
x =27
Step-by-step explanation:
3x - 4y=65
lets substitute the value of y in the equation:
3x -4(4) =65
3x = 65 +16
3x= 81
x= 81/3
x = 27
2S/7 2 shaded out of 7 circles
The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
Answer:
$11.50 is the cost for 2 pounds of walnuts
Expression: 7p - 2.50
Step-by-step explanation:
First, create an expression to represent the cost:
7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off
So, the expression is 7p - 2.50
Use this expression to find the price for 2 pounds of walnuts:
7p - 2.50
7(2) - 2.50
14 - 2.50
= 11.50
So, the cost with the coupon will be $11.50
Using the properties of inequalities:
Subtract -2 from each side of the inequality -2 + x > 10
Remember -2 - -2 becomes -2 + 2 = 0 <u>- -2 + x > --2
</u>10 - -2 becomes 10 + 2 =12<u /> 0 + x > 12
So the final solution would be x > 12.
Therefore x would have to be all numbers greater than 12.
<u />
