Answer:
Step-by-step explanation:
Lupita brought seven pounds of pretzels at a local wholesaler for 16.80. This means that the rate at which she bought one pound of pretzel at the local wholesaler would be
16.80 / 7 = $2.4 per pounds of pretzels
Her friend, Charles about 5 pounds of pretzels at the supermarket 12.75. This means that the rate at which Charles bought one pound of pretzel at the supermarket would be
12.75 / 5 = $2.55 per pounds of pretzels
Charles's reasoning is wrong because the rate at which he bought one pound of pretzel is higher than that of Lupita's
Answer:
(B). 32
Step-by-step explanation:
ounces when converted to a decimal number is (5+(1/4)=5+0.25 = 5.25 ounces.
Now if 168 cookies weight 5.25 ounces, there are

32 cookies in an ounce, which is choice B.
The height of broken part of tree from ground is 5.569m.
Justification:
Let BD is a tree of height 12 m.
<u>Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A</u>.
i.e., CD = AC = h m
<u>Broken part makes 60° angle from ground</u>
So, ∠BAC = 60°
<u>Now, height of remaining part of tree</u> = (12 – h)m.
In right angled ∆ABC,
sin 60° = BC/AC
⇒ √3/2 = (12 - h)/h
⇒ √3h = 2(12 – h)
⇒ √3h = 24 – 2h
⇒ √3h + 2h = 24
⇒ h(√3 + 2) = 24
⇒ h(1.732 + 2) = 24
⇒ h(3.732) = 24
⇒ h = 24/3.732 = 6.4308 m
<u>Hence, height of broken tree from ground</u>
⇒ BC = 12 – h
⇒ 12 – 6.4308 = 5.569m
<u>Hence, tree is broken 5.569 m from ground</u>.
<u>Note</u>: See attached picture.
(X-3)(X+1)=0
X-3=0
X=3
X+1=0
X=-1
7√27 + 5√48
7 × 3√3 + 5√48
7 × 3√3 + 5 × 4√3
21√3 + 5 × 4√3
21√3 + 20√3
41√3 or 71.014
hope this helps, God bless!