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11Alexandr11 [23.1K]
3 years ago
10

Nico and Lorena used different methods to determine the product of three fractions.

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Nico is correct because he knew that -4/5 is not equal to -4/-5.

-4/-5 is actually equal to 4/5.

Verizon [17]3 years ago
7 0

Answer: Nico is correct because he knew that,

-\frac{4}{5}=\frac{-4}{5}

Step-by-step explanation:

Given expression is,

(2)(\frac{1}{6})(-\frac{4}{5})

The steps for solving this expression are as follow,

Step 1 :

(\frac{2}{1}))(\frac{1}{6})(\frac{-4}{5})     ( a=\frac{a}{1}, where a is an integer also, -\frac{a}{b}=\frac{-a}{b} )

Step 2 :

\frac{(2)(1)(-4)}{(1)(6)(5)}       ( \because \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd} )

Step 3 :

\frac{-8}{30}

Step 5 :

-\frac{4}{15}    ( By simplifying )

Thus, by the above explanation the steps in Nico's metod are correct and his answer is correct also, Lorena got wrong answer because he wrote -\frac{4}{5}=\frac{-4}{-5} which is incorrect.

Hence, Nico is correct because he knew that,

-\frac{4}{5}=\frac{-4}{5}

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Ed plants trees in city parks. He used 1\10 of a bag of fertilizer around the base of a newly planted tree. How many trees can E
valina [46]
To determine this you could think of it in a couple ways.

1. If it takes 1/10 of a bag of fertilizer to put around 1 tree, he can fertilize 10 trees with 1 bag because there are 10 groups of 1/10 in a bag. Take 10 x 40 because there are 40 bags and get 400 trees to be fertilized.

2. You can divide 40 by 1/10 as the other strategy.
This is the same as 40 x 10/1.

Also equaling 400 trees that can be fertilized.
4 0
3 years ago
What is the length of square root 18 to the nearest hundredth
Katena32 [7]

Answer:

4.24

Step-by-step explanation:

3 0
3 years ago
Check out attachment:) I don't understand how do you find out the length ?? pls help with explanation thx
hjlf

Answer:

x=3.89

Step-by-step explanation:

I'll go in depth for you.

Before we figure out what we do, let understand what we know about this triangle.

  • We know that both triangles have a angle that measure 27°.
  • We also know EH=5
  • FG=9
  • ZG=7
  • We need to know how to find EZ

Notice how line EG and HF intersect at Angle Z. We know that if two lines intersect at an angle, it form angles called vertical angles. This means that the two angles that are vertical to each other are congruent.

This means that angle Z in both triangles both measure the same.

Now since both triangles have 2 congruent corresponding angles, we can say that the <em>Triangles</em><em> </em><em>are</em><em> </em><em>Similar</em><em> </em><em>due</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>Angle-Angle</em><em> </em><em>Postulate</em><em>.</em>

<em>"</em><em>If</em><em> </em><em>two</em><em> </em><em> </em><em>corresponding</em><em> </em><em>angles</em><em> </em><em>of</em><em> </em><em>two</em><em> </em><em>triangles</em><em> </em><em>are</em><em> </em><em>congruent</em><em>,</em><em> </em><em>then</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>triangles</em><em> </em><em>are</em><em> </em><em>similar</em><em>.</em><em>"</em>

<em>What</em><em> </em><em>is</em><em> </em><em>mean</em><em> </em><em>when</em><em> </em><em>Triangles</em><em> </em><em>are</em><em> </em><em>similar</em><em>?</em><em> </em>

<em>It</em><em> </em><em>means</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>similar</em><em> </em><em>triangles</em><em> </em><em>corresponding</em><em> </em><em>angles</em><em> </em><em>are</em><em> </em><em>equal</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>their</em><em> </em><em>sides</em><em> </em><em>are</em><em> </em><em>in</em><em> </em><em>proportion</em><em>.</em>

<em>The</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>are</em><em> </em>

<em>EH</em><em> </em><em>and</em><em> </em><em>GF</em>

<em>EZ</em><em> </em><em>and</em><em> </em><em>ZG</em>

<em>HZ</em><em> </em><em>and</em><em> </em><em>HF</em><em>.</em>

<em>Our</em><em> </em><em>proportion</em><em> </em><em>formula</em><em> </em><em>for</em><em> </em><em>similar</em><em> </em><em>triangle</em><em>s</em><em> </em><em>is</em><em> </em>

<em>Any</em><em> </em><em>two</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>triangle</em><em> </em><em>divided</em><em> </em><em>by</em><em> </em><em>each</em><em> </em><em>other</em><em> </em><em>must</em><em> </em><em>equal</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>triangles</em><em> </em><em>divided</em><em> </em><em>by</em><em> </em><em>each</em><em> </em><em>other</em><em> </em><em>respectively</em><em>.</em>

<em>We</em><em> </em><em>know</em><em> </em><em>FG</em><em> </em><em>and</em><em> </em><em>ZG</em><em> </em><em>so</em><em> </em><em>let</em><em> </em><em>set</em><em> </em><em>up</em><em> </em><em>our</em><em> </em><em>first</em><em> </em><em>fraction</em>

<em>\frac{fg}{zg}</em>

<em>The</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>of</em><em> </em><em>both</em><em> </em><em>are</em><em> </em>

  • <em>EH</em><em> </em><em>and</em><em> </em><em>EZ</em><em> </em><em>respectively</em><em> </em><em> </em><em>so</em><em> </em><em>our</em><em> </em><em>proportion</em><em> </em><em> </em><em>looks</em><em> </em><em>like</em>
  • <em>\frac{fg}{zg}  =  \frac{eh}{ez}</em>
  • <em>Plug</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>for</em><em> </em><em>each</em><em>.</em><em> </em><em>Let</em><em> </em><em>x</em><em> </em><em>represent</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>EZ</em>
  • <em>\frac{9}{7}  =  \frac{5}{x}</em>
  • <em>Cross</em><em> </em><em>Multiply</em>
  • <em>9x = 35</em>
  • <em>x = 3 \frac{8}{9}  = 3.89</em>
  • <em>So</em><em> </em><em>x</em><em>=</em><em>3</em><em>.</em><em>8</em><em>9</em>
3 0
3 years ago
An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give
EastWind [94]
P ( x ) = x³ - 4 x² + 3 x - 12 = 
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 ) 
x - 4 = 0,  x = 4
x² + 3 = 0,  x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.
4 0
3 years ago
It is worked out that if 4 ladles full of soup are given to each person, 120 people can be fed. The customers have complained in
alina1380 [7]

Answer:

80\ people

Step-by-step explanation:

Per person available ladles full of soup=4

Total number of persons=120

Hence total number of ladles full of soup=120\times 4=480

Now per person available ladles full of soup=6

Total number of persons that can be fed

=\frac{total\ availability}{per\ person\ requirements}\\\\=\frac{480}{6}\\\\=80

6 0
3 years ago
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