Michelle made a bead necklace with a length of 12 inches. The length of the necklace, in inches, is equal to 2 added to the quotient of the number of beads, b, and 7.
b ÷ 7 + 2 = 12
How many beads did she use?
A. 700
B. 46
C. 35
D. 70
To find out how many beads she used, we need to solve for b in the given equation:
b ÷ 7 + 2 = 12
b ÷ 7 = 10
b = 70
Therefore, Michelle used 70 beads. The answer is D. 70.
Solve the following equation for x.
x/5 - 9 = 2
To solve for x, we need to isolate x on one side of the equation. Here's how:
x/5 - 9 = 2
Add 9 to both sides:
x/5 = 11
Multiply both sides by 5 to get rid of the fraction:
x = 55
Therefore, the solution to the equation is x = 55.
Maggie is having the flooring replaced in her kitchen, living room, and master bedroom.
The kitchen is getting slate tile. The tile cost $1.73 per-square-foot plus an installation fee per-square-foot. The area of the kitchen is 120 square feet, and the total cost for the flooring with installation comes to $740.40.
The living room is getting hand-scraped hardwood flooring. The hardwood cost $4.98 per-square-foot plus an installation fee per-square-foot. The area of the living room is 200 square feet, and the total cost for the flooring with installation comes to $1,688.00.
The master bedroom is getting berber carpet. The carpet cost $2.48 per-square-foot plus an installation fee per-square-foot. The area of the master bedroom is 180 square feet, and the total cost for the flooring with installation comes to $928.80.
Place the flooring type in order from the least to greatest installation fee per-square-foot.
tile, hardwood flooring, carpet
_______, ________,________
( 1/ 9-2 )^2 = ?
To solve the given expression, we will follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders (ie. Powers and Square Roots, etc.), Multiplication and Division (left-to-right) and Addition and Subtraction (left-to-right).
Given expression: (1/9 - 2)^2
First, we can compute the subtraction in the parentheses:
1/9 - 2 = 1/9 - 18/9 = -17/9
Next, square this result:
(-17/9)^2 = (-17/9) * (-17/9) = 289/81
Therefore, (1/9 - 2)^2 = 289/81.
9 + 7N = 23
Which of the following sentences represents the equation above?
The given equation is:
9 + 7N = 23
To represent this equation in a sentence, we can say:
"Nine added to seven times a number is equal to twenty-three."
So, the sentence representing the equation is:
"Nine added to seven times a number is equal to twenty-three."
Which value for x makes the sentence true?
10x - 4
A. -60
B. -6
C. - 34/5
D. -12
To find the value for x that makes the sentence true, we need to substitute the given values into the expression and see which one satisfies the equation.
Given expression: 10x - 4
Let's evaluate the expression for each of the answer choices:
A. -60:
10(-60) - 4 = -600 - 4 = -604
B. -6:
10(-6) - 4 = -60 - 4 = -64
C. -34/5:
10(-34/5) - 4 = -68 - 4 = -72
D. -12:
10(-12) - 4 = -120 - 4 = -124
From the calculations, we see that the expression equals -64 when x = -6.
Therefore, the value that makes the sentence true is x = -6, and the correct answer is B. -6.