Find the number of red tiles given that there are 90 red and yellow tiles, with 5 times as many red tiles as yellow tiles. Given:
A=18 tiles
B=15 tiles
C=75 tiles
D=72 tiles
Total tiles = 90
Red tiles = 5 × Yellow tiles
Find the rate of change of volume, in cubic centimeters per minute, when a spherical balloon's radius increases at 3 cm/min and is 10 cm. V=(4/3)πr3, where r is the radius.
Find the percent error of Steve's 5-mile race prediction, where he predicted 42 minutes but finished in 40 minutes. To calculate the percent error:
Percent Error=Predicted ValueActual Value−Predicted Value×100
Find the ratio of water and chocolate powder for the strongest hot chocolate. Convert each ratio to a common denominator. The correct answer is 42 or 53 or 64 scoops of powder per cup of milk.
Find the formula of a linear transformation φ:R2→R3 given by the matrix M(φ)AB=⎣⎡123231⎦⎤, where A={(1,0),(1,−1)} and B={(1,0,0),(0,1,1),(−1,0,1)}. Also, find the matrix M(φ∘ψ)AB for the linear transformation ψ:R2→R2 given by ψ((x1,x2))=(x2,x1+x2).
Find the total cost of 5 boxes of cheese crackers, 6 boxes of poppy seed crackers, and 4 boxes of plain crackers, where each box costs y. A. (5+6+4)y
B. 5⋅6⋅4⋅y
C. 17y
D. 15y
Find the value of the expression 1+7 and select the appropriate type of problem: addition with same sign, addition with different sign, or subtraction.
Keisha received a total of 115 phone calls over 3 evenings. The 3rd evening had 3 times the 2nd evening's calls. The 1st evening had 5 fewer calls than the 2nd evening. Find the number of calls per evening.
What is the probability of rolling a fair 6-sided die and not getting an outcome less than 2? Express the answer as a simplified fraction. (A) 65 (B) 61 (C) 62 (D) 31
Find the changes in x and y for the given line 9x+13y=−22. (a) If y decreases by 13 units, x increases by 2 units. (b) If x increases by 3 units, y decreases by 1 unit. (c) If x decreases by 6 units, y increases by 4 units. (d) If y increases by 9 units, x decreases by 1 unit.
Loren solves an equation with mistakes. Identify the errors in the step-by-step work: 2x+4(x−1)=3(−x+2), distribution, sign, combining terms, and division.