Simplify 9x + 3y − 6 − 5x + 4y −3 .(1 point) $$
To simplify the expression 9x + 3y − 6 − 5x + 4y − 3, we can combine like terms.
Combining the x terms, we have 9x - 5x = 4x.
Combining the y terms, we have 3y + 4y = 7y.
Combining the constant terms, we have -6 - 3 = -9.
Therefore, the simplified expression is 4x + 7y - 9.
The formula for finding the volume of a square prism is s2h , where s is the length of each side of the square base and h is the height of the prism. Evaluate to find the volume given values of s = 4 and h = 6 .(1 point) Responses 576 cubic centimeters 576 cubic centimeters 48 cubic centimeters 48 cubic centimeters 96 cubic centimeters 96 cubic centimeters 144 cubic centimeters 144 cubic centimeters
To find the volume of a square prism using the formula s^2h, we substitute the given values of s = 4 and h = 6.
Volume = (4^2) * 6
= 16 * 6
= 96
Therefore, the volume of the square prism is 96 cubic centimeters.
Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2 when s = 7 .(1 point) Responses
To find how much space Robert will have left for his presentation, we need to subtract the total area of the 10 squares (10s^2) from the area of the poster board (720).
Given that s = 7, we can evaluate the expression 720 - 10s^2:
720 - 10(7^2)
= 720 - 10(49)
= 720 - 490
= 230
Therefore, Robert will have 230 square inches of space left for his presentation.
Mr. Rodriguez has a vegetable garden that borders his house. He wants to put a fence around it. It costs $7 per yard for the materials. Evaluate 7(l + 2w) , where l is the length and w is the width of his garden, to find the cost for a garden that has a length of 5 yards and a width of 2 yards.(1 point) Responses
To find the cost of the fence for Mr. Rodriguez's garden, we need to evaluate the expression 7(l + 2w) using the given values of l = 5 and w = 2.
Cost = 7(5 + 2(2))
= 7(5 + 4)
= 7(9)
= 63
Therefore, the cost for a garden with a length of 5 yards and a width of 2 yards will be $63.
When you copy the behavior of others you are forming your personality through (1 point) Responses heredity. heredity. modeling. modeling. a peer group. a peer group. conscientiousness.
When you copy the behavior of others, you are forming your personality through modeling.
To simplify the expression 9x + 3y − 6 − 5x + 4y − 3, we need to combine like terms. Like terms are terms that have the same variable(s) raised to the same exponent.
First, let's gather all the x-terms together and the y-terms together:
9x - 5x + 3y + 4y − 6 - 3
Now, we can combine the x-terms and the y-terms separately:
(9x - 5x) + (3y + 4y) − (6 + 3)
Simplifying the x-terms and the y-terms:
4x + 7y − 9
Therefore, the simplified expression is 4x + 7y − 9.