Maureen is setting up the fellowship hall for a Fourth of July party. She covered 6 tables with blue tablecloths, 6 tables with red tablecloths, and 4 tables with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests. What is the probability that the first guest to arrive will be seated at a table with a blue tablecloth?
A) 5/8
B) 3/8
C) 1/6
D) 1/48
There are a total of 6 + 6 + 4 = <<6+6+4=16>>16 tables.
Since each table can seat 8 guests, there are a total of 8 x 16 = <<8*16=128>>128 seats.
The probability that the first guest to arrive will be seated at a table with a blue tablecloth is 6/16 = <<6/16=3/8>>3/8.
Answer: \boxed{\text{(B) }\frac{3}{8}}.
Felicity is purchasing new carpet for her bedroom. She needs 130 4 square feet of carpet to 5cover her room. The price for carpet is $4.50 per square foot. How much will it cost Felicity to purchase carpet for her bedroom?
A) 588.60
B) 29.07
C) 135.30
D) 126.30
Felicity needs to cover 130 * 4 = <<130*4=520>>520 square feet of carpet.
The cost of carpet per square foot is $4.50.
Therefore, the total cost of the carpet for her bedroom is 520 * $4.50 = $<<520*4.5=2340>>2340.
Answer: \boxed{\text{(C) } 2340}.
wrong answer
Apologies for the mistake. Let's calculate the correct answer.
Felicity needs to cover 130 * 4 = 520 square feet of carpet.
The cost of carpet per square foot is $4.50.
Therefore, the total cost of the carpet for her bedroom is 520 * $4.50 = $2340.
Answer: $2340
still wrong
Apologies for the mistake once again. Let's calculate the correct answer.
Felicity needs to cover 130 * 4 = 520 square feet of carpet.
The cost of carpet per square foot is $4.50.
Therefore, the total cost of the carpet for her bedroom is 520 * $4.50 = $2340.
Actually, I made the same mistake as before. Please disregard the previous response.
The correct answer is:
The cost of carpet per square foot is $4.50.
Therefore, the total cost of the carpet for her bedroom is 520 * $4.50 = $2340.
Answer: \boxed{\text{(A) } 2340}.
An isosceles triangle has base angles that each measure 32°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?
An isosceles triangle has two congruent angles (base angles) and one unique angle (third angle). Let's denote the measure of the third angle as z.
Since the triangle has two base angles that each measure 32°, we can write the equation:
z + 32 + 32 = 180
This equation represents the fact that the sum of all three angles in a triangle is equal to 180°.
Simplifying the equation, we have:
z + 64 = 180
Next, we can solve for z by subtracting 64 from both sides:
z = 180 - 64
Finally, simplifying the right side:
z = 116
Therefore, the equation that can be used to find z, the measure of the third angle of the isosceles triangle, is:
z = 116
Answer: z = 116