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Alex’s printer can print 8 photos in 12 minutes.

Mathematics

1 answer:

nataly862011 [7]2 years ago

7 0

Answer:

B and D

Step-by-step explanation:

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A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo

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Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

$\frac{5}{80}=\frac{12}{x}$

x = $\frac{(80)(12)}{5}$ = 192 ft ⇒ x is the length of the shadow of the building

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Perform the following operations and write the answers in radical form. Part A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90

Sveta_85 [38]

Answer:

$\sqrt{7}+\sqrt{3}+4\sqrt{2}$
$3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

Step-by-step explanation:

Part A ;

$\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}$

Part B ;

$3\sqrt{5} - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

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nydimaria [60]

Answer:

D. x = 2

Step-by-step explanation:

$\frac{1}{2} x+3=\frac{5}{2} x-1$

$\frac{1}{2} x-\frac{5}{2 }x=-1-3$

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$x = -4(-\frac{2}{4} )$

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Answer:

Step-by-step explanation

5:1 means for every 1 table their is 5 chairs.

And for every 5 chairs there is 1 table.

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