answer:Since angle PQR = angle PRQ, triangle PQR is an isosceles triangle. Therefore, PQ = PR = 7. The perimeter of triangle PQR is PQ + QR + PR = 7 + 5 + 7 = boxed{19}. The answer is: 19

answer:Enrique sells 2 suits that cost 700.00 each, so the total cost of the suits is 2 * 700.00 = 1400.00. He also sells 6 shirts that cost 50.00 each, so the total cost of the shirts is 6 * 50.00 = 300.00. Finally, he sells 2 pairs of loafers that cost 150.00 each, so the total cost of the loafers is 2 * 150.00 = 300.00. The total cost of all the items sold is 1400.00 + 300.00 + 300.00 = 2000.00. Enrique earns a 15% commission on the total cost of the items sold, so his commission is 15/100 * 2000.00 = 300.00. Enrique earns 300.00 in commission. 300 The answer is: 300

answer:The cross product of two vectors begin{pmatrix} a b c end{pmatrix} and begin{pmatrix} d e f end{pmatrix} is given by the formula: begin{pmatrix} a b c end{pmatrix} times begin{pmatrix} d e f end{pmatrix} = begin{pmatrix} bf - ce cd - af ae - bd end{pmatrix} In this case, we are given the cross product begin{pmatrix} 5 X -6 end{pmatrix} times begin{pmatrix} 1 1 3 end{pmatrix} = begin{pmatrix} 12 -21 3 end{pmatrix}. We can write the equation as: begin{pmatrix} 5 X -6 end{pmatrix} times begin{pmatrix} 1 1 3 end{pmatrix} = begin{pmatrix} 12 -21 3 end{pmatrix} Comparing the corresponding components, we can set up the following equations: X(3) - (-6)(1) = 12 Simplifying, we have: 3X + 6 = 12 Subtracting 6 from both sides of the equation, we find: 3X = 6 Dividing both sides of the equation by 3, we get: X = 2 The value of X is 2. The answer is: 2

answer:One-third of the box contains kiwi, so there are 78/3 = 26 kiwis. The rest of the fruit in the box are strawberries, so there are 78 - 26 = 52 strawberries. 52 The answer is: 52