Answer:
You asked to solve questions 3 and 5
<h3>#3</h3>
Since CD = EF,
- 9x - 1 = 41 - 5x
- 9x + 5x = 41 + 2
- 14x = 42
- x = 3
<h3>#5</h3>
MN = NP as their perpendicular bisectors are of same length.
- 9x - 43 = 5x + 33
- 9x - 5x = 33 + 43
- 4x = 76
- x = 19
- mMP = 360 - (mMN + mNP)
- mMP = 360 - (9*19 - 43 + 5*19 + 33)
- mMP = 104
Answer:
If 2/5 is 240 then 1/5 is 120..multiply 120 by 5 which is 600 so...
600=total
Then..multiply 120 by 3 which will give the 3/5 boys which is 360 so...
360 boys
Step-by-step explanation:
Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
The answer to this is y=3 and x=-10.
Answer:
$80
Step-by-step explanation:
From the question, we are given The simple interest formula as I = Prt,
where l = simple interest on an amount= $40
t= years=5years
at a rate r= 10%
The rate= 10/100= 0.1
Then since we are looking for P, we can make P subject of formula from this expression;
I = Prt
P=I/rt
P= 40/(0.1 ×5)
P= 40/0.5
P= 80
therefore, the amount of money p that is needed is $80