Answer:
6(8z+7q)
Step-by-step explanation:
48z+42q
Factor out 6.
6(8z+7q)
Answer:
Step-by-step explanation: she can have four people go and have the last 4 dollers can go in to her buying the lanes
<h2>
Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>
Elias will fold 210 packing boxes in "70 mìnutes".</h2>
Step-by-step explanation:
Given,
Dionne can fold 175 packing boxes = 50 mìnute and
Elias can fold 120 packing boxes = 40 minutes
To find, the total time each person to fold 210 packing boxes = ?
∵ Dionne can fold 175 packing boxes = 50 mìnute
∴ In 1 mìnute, Dionne can fold number of packing boxes = 
= 3.5
∴ Dionne can fold 210 packing boxes = 
minutes
= 60 minutes
Also,
Elias can fold 120 packing boxes = 40 minutes
∴ In 1 mìnute, Elias can fold number of packing boxes = 
= 3
∴ Elias can fold 210 packing boxes = 
minutes
= 70 minutes
Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and
Elias will fold 210 packing boxes in "70 mìnutes".
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer:
= 124 ft
Step-by-step explanation:
Perimeter of a rectangle is
P = 2(l+w)
We know the length is 13 and the width is 49
P = 2(13+49)
=2(62)
= 124 ft
