1. The width of a rectangle measures (t-9u)centimeters, and its length measures(4t-4u) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Solve for b.
2.10b+18=28
1. The perimeter of a rectangle is found by adding up all of its sides. In this case, the width is (t-9u) cm and the length is (4t-4u) cm. So, the expression for the perimeter would be:
Perimeter = 2 * (width + length)
= 2 * ((t-9u) + (4t-4u))
= 2 * (5t - 13u)
= 10t - 26u
Therefore, the expression for the perimeter of the rectangle is 10t - 26u centimeters.
2. To solve for b in the equation 10b + 18 = 28, you can start by isolating the variable b. Here are the steps:
10b + 18 = 28
Subtract 18 from both sides to isolate the term with b:
10b = 28 - 18
10b = 10
Divide both sides by 10 to solve for b:
b = 10/10
b = 1
Therefore, b equals 1.
A triangle has side lengths of (9f+g) centimeters. (5f +h) centimeters, and (2h +7g) cetimeters. which expression represents the perimeter, in centimeters of the triangle
The perimeter of a triangle is found by adding up all of its side lengths. In this case, the side lengths are (9f+g) cm, (5f+h) cm, and (2h+7g) cm. So, the expression for the perimeter would be:
Perimeter = (9f+g) + (5f+h) + (2h+7g)
To simplify, we can combine like terms:
Perimeter = 9f + g + 5f + h + 2h + 7g
Grouping like terms:
Perimeter = (9f + 5f) + (g + 7g) + (h + 2h)
Simplifying:
Perimeter = 14f + 8g + 3h
Therefore, the expression for the perimeter of the triangle is 14f + 8g + 3h centimeters.
Which expression is equivalent to f+6+3f?
To simplify the expression f + 6 + 3f, we can combine like terms (terms with the same variable). The variables in this expression are f.
So, the expression can be simplified as follows:
f + 6 + 3f = (1f + 3f) + 6 = 4f + 6
Therefore, the expression f + 6 + 3f is equivalent to 4f + 6.
Which expression is equivalent to 7h - 5 - 4h - 7?
To simplify the expression 7h - 5 - 4h - 7, we can combine like terms. The terms with the variable h are 7h and -4h, and the constant terms are -5 and -7.
So, the expression can be simplified as follows:
7h - 5 - 4h - 7 = (7h - 4h) + (-5 - 7) = 3h - 12
Therefore, the expression 7h - 5 - 4h - 7 is equivalent to 3h - 12.
Which expression is equivalent to w+6w +4w
To simplify the expression w + 6w + 4w, we can combine like terms. The terms with the variable w are w, 6w, and 4w.
So, the expression can be simplified as follows:
w + 6w + 4w = (1w + 6w + 4w) = 11w
Therefore, the expression w + 6w + 4w is equivalent to 11w.
1. To find the perimeter of a rectangle, you need to add the lengths of all four sides of the rectangle.
Given that the width of the rectangle is (t - 9u) centimeters and the length is (4t - 4u) centimeters, we can calculate the perimeter by adding these lengths together:
Perimeter = (Width + Length + Width + Length)
= ((t - 9u) + (4t - 4u) + (t - 9u) + (4t - 4u))
Simplifying the expression, we combine like terms:
Perimeter = t + 4t + t + 4t - 9u - 4u - 9u - 4u
= 10t - 26u
Therefore, the expression that represents the perimeter of the rectangle is 10t - 26u centimeters.
2. To solve the equation 10b + 18 = 28 for b, you need to isolate the variable b using algebraic operations.
First, subtract 18 from both sides of the equation:
10b + 18 - 18 = 28 - 18
10b = 10
Next, divide both sides of the equation by 10 to solve for b:
(10b)/10 = 10/10
b = 1
Therefore, the solution for the equation 10b + 18 = 28 is b = 1.