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svet-max [94.6K]
3 years ago
13

Bianca makes a scale drawing of a rectangular garden. The length is 9 in., and the width is 6 in. Bianca changes the scale of th

e drawing from 1 in. : 3 ft to 1 in. : 4 ft. Which statement about the dimensions of the garden is true?
Mathematics
2 answers:
Artist 52 [7]3 years ago
4 0
Old scale : 1 in. to 3 ft.
length is 9 in.....9 * 3 = 27 ft (old scale length)
width is 6 in......6 * 3 = 18 ft (old scale width)

new scale : 1 in. to 4 ft
length is 9 in.....9 * 4 = 36 ft (new scale length)
width is 6 in......6 * 4 = 24 ft (new scale width)


IrinaVladis [17]3 years ago
3 0

Answer:

a

Step-by-step explanation:

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Answer: X=2

2x plus 2x plus 3x equals 7x and then you add the +5 which means you now have 7x+5=6x+7 which you then solve from there by subtracting the 6x from the left side. You then get x+5=7 meaning x=2.

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Consider an object moving in the plane whose location at time t seconds is given by the parametric equations: x(t)=4cos(πt) y(t)
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Since the parametric equation is given as

x(t)=4cos(\pt t),y(t)=4sin(\pi t)\\\\\therefore x(t)^{2}+y(t)^{2}=16cos^{2}(\pi t)+16sin^{2}(\pi t)\\\\x(t)^{2}+y(t)^{2}=16\\\\

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3 years ago
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Braden is hiking on a mountain. At 11:00 a.M., he is at an elevation of 500 feet. At 2:00 p.M., he is at 900 feet. What is the r
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133.33ft/hr

Step-by-step explanation:

Between 11am and 2pm, he had 3hrs

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3 years ago
You are designing the floor plan of a new house with dimensions of 30 x 50 ft. If each room must be at least 14 x 12 ft, how man
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6 0
3 years ago
In a casino on a Saturday, 90% of the visitors lost $100 each, 9% of the visitors lost $1,000 each, and the rest won $10,000 eac
liq [111]

x = total amount of visitors


so we have 90% that lost $100, 9% that lost $1000, now 90+9 = 99%, what's left is just 1% then, so 1% won $10,000.

Profit is Revenue - Cost.

so the profit for the casino, is not who wins, because from the wins the casino needs to pay that to the winner, so they're losing that much, so for the casino, profits is when a player loses, so their profit will come from the 99% that lost money then.

keeping in mind that

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em} \begin{array}{llll} \stackrel{\textit{90\% of x}}{\left( \cfrac{90}{100} \right)x}\implies 0.9x\qquad \stackrel{\textit{9\% of x}}{\left( \cfrac{9}{100} \right)x}\implies 0.09x \\\\\\ \stackrel{\textit{1\% of x}}{\left( \cfrac{1}{100} \right)x}\implies 0.01x \end{array}


since we know that 90% lost $100, that means 0.9x(100) is the total amount lost by all of them, since we also know that 9% lost $1000, then 0.09x(1000) is the total amount lost by them, and the wins are of course just 0.01x(100000).


\bf \stackrel{\textit{90\% at \$100}}{0.9x(100)}~~+~~\stackrel{\textit{9\% at \$1000}}{0.09x(1000)}~~-~~\stackrel{\textit{1\% at \$10000}}{0.01x(10000)}~~=~~\stackrel{\textit{casino's profit}}{80000} \\\\\\ 90x+90x-100x=80000\implies 80x=80000\\\\\\ x=\cfrac{80000}{80}\implies x=1000

4 0
4 years ago
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