Questions in mathematics

Questions in mathematics

[Done] The Mulraney's home has 2,550 square feet of living space. A contractor is building an addition to their home that will increase the square footage by 8%. What will be the square footage of their home with the addition?

[Done] What is the next term in the geometric sequence 16, \(-4\), 1, \(-\frac{1}{4}\), … ?

[Done] Express the square root of -65 in terms of i.

[Done] Find the zeros of the function [tex]h(x) = x^2 - 5x - 50[/tex] by factoring.

[Done] Rewrite the equation in vertex form: \[ y = x^2 - 8x + 13 \]

[Done] Members of the fire department lean a 30-foot ladder against a building. The side of the building is perpendicular to the level ground, so that the base of the ladder is 10 feet away from the base of the building. To the nearest foot, how far up the building does the ladder reach? Please explain with some details.

[Done] The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?

[Done] The library sells 376 books at its annual used-book fundraiser, taking in a total of $2120. Children's books cost $4, and adult books cost $7. How many children's books did they sell? Let \( c \) = number of children's books sold, and \( a \) = number of adult books sold. Which system of equations can the librarians use to solve this problem? A. \[ \begin{align} 4c + 7a &= 376 \\ c + a &= 2120 \\ a &= 376 - c \end{align} \] B. \[ \begin{align} 7c + 4a &= 2120 \\ a + c &= 376 \end{align} \] C. \[ \begin{align} 4a + 7c &= 2120 \\ c + a &= 376 \end{align} \] D. \[ 4c + 7a = 2120 \]

[Done] A box of uncooked spaghetti costs $0.1369 per ounce. What is this cost to the nearest cent?

[Done] Can someone help me with this question I don't know how to subtract a whole number by a fraction