Answer:
QR = 5
Step-by-step explanation:
Since the parallelograms are similar, then the ratios of corresponding sides are equal, that is
=
, then
=
( cross- multiply )
9QR = 45 ( divide both sides by 9 )
QR = 5
Answer:

Step-by-step explanation:
Equation of tangent line of given function at (e,1) is found by implicitly differentiating the given function w.r.to x

Equation of tangent line is
y-y₁=m(x-x₁)
at (e,1)

So the board is divided into 5 pieces, and 2/5 of the board is left. The leftovers equal 4 originals. This is equal to 4 times 5.
equation:
2/5(5x)=20
2x=20
x=10
He started with 10 boards.
Hope this helps!
Answer:
b. False
Step-by-step explanation:
In a fixed-order-quantity system, when there is uncertainty in demand, the average demand will lead to a high probability of a stockout which is in contrast to what is stated in the question. Thus, the answer is false.
Let Q= the number of quarters and D= the number of dimes.
Q+D= 40 coins
0.25Q+0.1D= $7.75
Rewrite equation 1 as: D = 40-Q and substitute into equation 2
0.25Q+0.1(40-Q)= 7.75 Simplify the left side
0.25Q+4-0.1Q= 7.75 Subtract 4 from both sides
0.25Q-0.1Q= 3.75 Convime like terms on left side
0.15Q= 7.75 Divide both sides by 0.15
Q=25 and D= 40-Q
D= 40-25 which is 15
So Jenna had 25 quarters and 15 dimes.
<span>To check multiply 25 x 25 and 15x10 which equals 625 and 150 this equals 775 so this is 7.75</span>