Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality 
and 
are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and 
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Answer: The required distance between the top and bottom of the bridge is 76 feet.
Step-by-step explanation: Given that a new bridge structure requires triangles that are in a ratio of 1:1.
AC = 2x + 10 and EC = 4x − 18.
We are to find the distance between the top and bottom of the bridge, in feet.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
The sides AC and EC are corresponding to each other, so we must have
Therefore, the distance between the top and bottom of the bridge is
Thus, the required distance between the top and bottom of the bridge is 76 feet.
Answer:
Number line D
Step-by-step explanation:
That line goes from 0 to -3 and subtracts 2, as the equation shows.
Answer: Statements that are true are: ()The amount of storage for pillows and blankets is measured in cubic feet and ()The volume of the cube is 8 ft3.
Step-by-step explanation: A cube is a box-shaped solid object that has 6 identical square faces. Volume is the amount of space a enclosed object occupies.
The volume of an ottoman is the amount of storage for pillows and blankets and since it's calculated, in this case, as:
V = length*width*depth, and the unit is in feet, <em><u>Volume's Unit</u></em> is in Cubic Feet. That statement is correct.
The lid is a square. The area is: A = 2*2 = 4 <u>square</u> ft, so this statement is incorrect.
The perimeter of the top is: P = 4*2 = 8 feet, but it's not the length of the child safety bumper, so this statement is false.
An ottoman is a cube of side lengths 2 feet, so its volume will be V=8ft3.
Therefore, the correct statements are:
- The amount of storage for pillows and blankets is mesured in cubic feet;
- The volume of the cube is 8ft3.
2x+4y=450
2x=450-4y
x=450-4y÷2----- equation 1
4x+2y=420
4x=420-2y
x=420-2y÷4----- equation 2
putting the value of x in equation 1
x=450-4y÷2
420-2y÷4=450-4y÷2
2(420-2y)=4(450-4y)
840-4y=1800-16y
840-1800=-16y-4y
-960= -12y
y=80
putting the value of y in equation1
2x+4y=450
2x+4×80=450
2x+320=450
2x=450-320
2x=130
x=130÷2
x=65
<h2> the value of x is 65 and y is 80</h2>
