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Bezzdna [24]
2 years ago
10

Solve the inequality 5(2x+8)<60

Mathematics
2 answers:
Romashka [77]2 years ago
5 0

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Temka [501]2 years ago
5 0

Answer:

\huge\boxed{\bf\:x < 2}

Step-by-step explanation:

5(2x + 8) < 60

Multiply 5 by 2x & 8 in the right hand side of the inequality .

5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\

Bring 40 to the other side of the inequality .

10x + 40 < 60\\10x < 60 - 40\\10x < 20

Bring 10 to the left side of the inequality .

10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}

\rule{150pt}{2pt}

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Divide.<br> -6:31<br> Enter your answer as a mixed number, in simplified form, in the box.
jekas [21]

Answer:−

-12/31

Step-by-step explanation:

8 0
2 years ago
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Vikentia [17]

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

5 0
2 years ago
You are shopping for carpet for your living room which measures 19 feet by 12 feet. Charlie's Carpets sells carpet for $18 per s
Kamila [148]
----------------------------
Charlie's Carpets:
----------------------------
Carpet : $18/yd
Installation: $2/yd

Discount: 20% x $18 = 0.2 x 18 = $3.60
Carpet Price after discount = $18 - $3.60 = $14.40/yd²

Carpet Price with installation $14.40 + $2 = $16.40/yd²

----------------------------
Cindy's Carpet
----------------------------

Carpet = $18/yd²

Discount = 10% = 0.1 x $18 = $1.80
Price after Discount = $18 - $1.80 = $16.20/yd²

----------------------------
Summary:
----------------------------
Charlie's Carpet = $16.40/yd²
Cindy's Carpet = $16.20/yd²

CIndy's Carpet is cheaper.

----------------------------
Find Cost:
----------------------------
Length = 19 x 1/3 = 19/3 yards
Width = 12 x 1/3 = 4 yards

19/3 x 4 = 25 1/3 yd²

Cost = 25 1/3 x $16.20 = $410.40

------------------------------------------------------------------------------------
Answer: Cindy's Carpet is cheaper and it will cost $410.40.
------------------------------------------------------------------------------------

4 0
3 years ago
Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th stree
muminat

Answer: The starting time is 2:27 and finishing time is 7:09.    


Step-by-step explanation: It is given that Ben started from 4th street and he finished at 98th street.

Also, at 3:00, he was on 15th street and at 4:30, he was on 45th street.

That is, time taken to cover (45-15), i.e., 30 streets is 90 minutes,                           so the time taken to cover 1 street is 3 minutes.

Therefore, Ben covers distance from one street to second in 3 minutes. Since he started from 4th street, and there are 11 streets to cover between 4 and 15, so Ben's starting time was (3:00 - 3×11 min) = 2:27.

And his finishing time was (4:30 + 3×53 min) = 7:09.

Again, the equation that tells us on what street 'N' he was after time 'T' of his starting can be written as

N=4+\dfrac{T}{3.}

Thus, the starting and finishing time was 2:27 and 7:09 respectively.



3 0
3 years ago
PQR IS A STRIGHT LINE
frez [133]

Answer:

PQ= 84cm

step-by-step explanation:

98/7= 14

14x6=84

PQ= 84cm

6 0
3 years ago
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