Question

Albert is preparing to tile his backsplash. The area is 25 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles would he need to complete the backsplash?

282

likes
1408 views

Answer to a math question Albert is preparing to tile his backsplash. The area is 25 1/2 inches by 10 3/4 feet. He is using 12 inches by 12 inches. How many tiles would he need to complete the backsplash?

Expert avatar
Madelyn
4.7
86 Answers
1. Convert the dimensions to the same unit (inches).

10 \frac{3}{4} \text{ feet} = 10 \cdot 12 + \frac{3}{4} \cdot 12 = 120 + 9 = 129 \text{ inches}

2. Calculate the area of the backsplash in square inches.

\text{Area} = 25 \frac{1}{2} \text{ inches} \times 129 \text{ inches} = \frac{51}{2} \times 129 = \frac{51 \times 129}{2} = \frac{6579}{2} = 3289.5 \text{ square inches}

3. Calculate the area of one tile (12 inches by 12 inches).

\text{Area of one tile} = 12 \text{ inches} \times 12 \text{ inches} = 144 \text{ square inches}

4. Determine the number of tiles needed.

\text{Number of tiles} = \frac{3289.5}{144} \approx 22.847 \Rightarrow 23 \text{ tiles}

Therefore, Albert would need 23 tiles to complete the backsplash.

Frequently asked questions (FAQs)
What is the radian measure of an angle formed by an arc of length π and a circle with radius 2?
+
What is the value of x in the equation log(base 3)(x) = 5?
+
Math question: Factorize the expression 4x^2 + 12x - 16.
+
New questions in Mathematics
How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117
Convert the following function from standard form to vertex form f(x) = x^2 + 7x - 1
The sum of an infinite geometric series is 13,5 The sum of the same series, calculated from the third term is 1,5. Q. Calculate r if r>0.
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?
The derivative of a power is obtained just by subtracting 1 from the power True or false
Given that y = ×(2x + 1)*, show that dy = (2x + 1)" (Ax + B) dx where n, A and B are constants to be found.
Two events E and F are​ ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.
(2x+5)^3+(x-3)(x+3)
A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?
4x-3y=24 and 5x-2y=9 solve by elimination
4x/2+5x-3/6=7/8-1/4-x
Let r: x - y 5 = 0. Determine a general equation of the line s parallel to the line r, which forms an isosceles triangle with area 8 with the line x = 5 and the Ox axis.
Solve : 15/16 divide 12/8 =x/y
It is known that the content of milk that is actually in a bag distributes normally with an average of 900 grams and variance 25 square grams. Suppose that the cost in pesos of a bag of milk is given by 𝐶(𝑥) = { 3800 𝑠𝑖 𝑥 ≤ 890 4500 𝑠𝑖 𝑥 > 890 Find the expected cost.
Derivative of 2x
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
did an analysis of dropout from the nursing faculty at the Universidad Veracruzana. With a poblation of 122 students, it turned out that according to the gender data, the female sex predominates with 82%, and the male sex male is found with 12%. The main factors why students drop out are, first of all, "Not "re-enrolled" at 49%, second place "Personal reasons" at 20%, third place "change of school" in 11%, "lack of documents" and "economic reasons" in 7%, change of residence and lack of social service in 3%. Of this sample, how many students dropped out for other reasons?
Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!