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Answers
Answer:
Let the 1st paycheck be x (integer).
Mrs. Rodger got a weekly raise of $ 145.
So after completing the 1st week she will get $ (x+145).
Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
So in this way end of every week her salary will increase by $ 145.
2. The value of x + x(xx) when x = 2 is:
(a) 10, (b) 16, (c) 18, (d) 36, (e) 64
Solution:
x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
Answer: (a)
3. Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
(a) broke even, (b) lost 4 cents, (c) gained 4 cents, (d) lost 10 cents, (e) gained 10 cents
Solution:
Selling price of the first pipe = $1.20
Profit = 20%
Let’s try to find the cost price of the first pipe
CP = Selling price - Profit
CP = 1.20 - 20% of CP
CP = 1.20 - 0.20CP
CP + 0.20CP = 1.20
1.20CP = 1.20
CP = 1.201.20
CP = $ 1
Selling price of the Second pipe = $1.20
Loss = 20%
Let’s try to find the cost price of the second pipe
CP = Selling price + Loss
CP = 1.20 + 20% of CP
CP = 1.20 + 0.20CP
CP - 0.20CP = 1.20
0.80CP = 1.20
CP = 1.200.80
CP = $1.50
Therefore, total cost price of the two pipes = $1.00 + $1.50 = $2.50
And total selling price of the two pipes = $1.20 + $1.20 = $2.40
Loss = $2.50 – $2.40 = $0.10
Therefore, Mr. Jones loss 10 cents.
Explanation:
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Answer:
Given :-
Length = 8 cm
Breadth = 7.5 cm
Height = 12 cm
To Find :-
Volume
Total surface area
Solution :-
Firstly let's find its volume
\boxed { \bf Volume \: = l \times b \times h}
Volume=l×b×h
\sf {:} \implies \: Volume = 8 \times7.5 \times 12:⟹Volume=8×7.5×12
\sf {:} \implies \: Volume \: = 60 \times 12:⟹Volume=60×12
\huge \bf Volume = 720 \: cmVolume=720cm
Now,
Let's find TSA
\boxed { \bf TSA \: = 2(lb + bh + lh)}
TSA=2(lb+bh+lh)
\sf \: TSA\: = 2(8 \times 7.5 + 7.5 \times 12 + 8 \times 12)TSA=2(8×7.5+7.5×12+8×12)
\sf \: TSA = 2(60 + 90 + 96)TSA=2(60+90+96)
\sf \: TSA \: = 2(246)TSA=2(246)
\sf \: TSA = 492 \: cm {}^{3}TSA=492cm
3
Hence :-
Volume of cuboid is 720 cm and surface area is 492 cm.