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FromTheMoon [43]
3 years ago
10

Riaz wants to spend no more than $1,250 on his trip. The airfare is $439. Write and solve an inequality to find the maximum amou

nt he can spend on the rest of his trip.
Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer: \\ Let \:  x \:  be \:  the \:  amount  \: of  \: money  \: he \:  can \:  spend \\ We  \: have  \: an  \: inequality:x +439 \leqslant 1250 \\ \Leftrightarrow  x \leqslant 811 \\ So \:  the  \: maximum  \: amount \:  he \:  can \:  spend  \: is  \: \$ 811

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the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so
stiv31 [10]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

\qquad \sf  \dashrightarrow \:2(l + w)  = 56

\qquad \sf  \dashrightarrow \:2(3x + 8 + x)  = 56

\qquad \sf  \dashrightarrow \:2(4x + 8)  = 56

\qquad \sf  \dashrightarrow \:4x + 8  = 56 \div 2

\qquad \sf  \dashrightarrow \:4x + 8  = 28

\qquad \sf  \dashrightarrow \:4x  = 28 - 8

\qquad \sf  \dashrightarrow \:x = 20\div 4

\qquad \sf  \dashrightarrow \:x =5 \: cm

Hence, width = x = 5 cm

\qquad \sf  \dashrightarrow \:l = 3w + 8

\qquad \sf  \dashrightarrow \:l = 3(5)+ 8

\qquad \sf  \dashrightarrow \:l = 15+ 8

\qquad \sf  \dashrightarrow \:l =23 \:cm

And, length = 26 cm

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Answer:

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Step-by-step explanation:

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Theo started to solve the quadratic equation (x + 2)^2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)
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When we take the square root of each side, the equation would become:
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The final answer is </span><span>x + 2 = ±2.
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