<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>
x - y = 15
2x + 8 = 3y - 4
We can quickly get a temporary value for x by altering the original equation.
x - y = 15
<em><u>Add y to both sides.</u></em>
x = 15 + y
Now that we have a value of x, we can find the exact value of y.
2(15 + y) + 8 = 3y - 4
<em><u>Distributive property.</u></em>
30 + 2y + 8 = 3y - 4
<em><u>Combine like terms.</u></em>
38 + 2y = 3y - 4
<em><u>Subtract 2y from both sides.</u></em>
38 = y - 4
<em><u>Add 4 to both sides.</u></em>
y = 42
Now that we know the exact value of y, we can plug it back into the original equation.
x - 42 = 15
<em><u>Add 42 to both sides.</u></em>
x = 57
Answer:
56548.67/942.47=60.0005
so 60 times
Step-by-step explanation:
I believe the correct answer is D but I am not quite sure
Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
Answer: OPTION D.
Step-by-step explanation:
You can observe in the graph that represents f(x) that this function intersects the x-axis at the point (1,0). Then:
We know that a function intersects the x-axis when 
.
We can observe the table that represents the function g(x). When the value of "y" is 0 (
), the value of "x" is -1 (
). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).
You can observe in the graph that represents f(x) that this function intersects the y-axis at the point (0,-1). Then:
We know that a function intersects the y-axis when 
. In the table that represents the function g(x), we can see that, when the value of "x" is 0 (), the value of "y" is 1 (
). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).
