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melomori [17]
3 years ago
11

A chocolate bar is made up of 12 equal pieces. Antony ate 3/4 of a chocolate bar. Jacoby ate ⅔ of a chocolate bar of the same si

ze.
Antony said that he ate more chocolate than Jacoby. Is Antony correct? Explain your thinking using mathematical reasoning.
Mathematics
2 answers:
Lorico [155]3 years ago
8 0
Anthony is correct because 3/4 X 100 = 75% and 2/3 X 100= 66 2/3%. 3/4 is equivalent to a larger percentage making it a larger fraction.
loris [4]3 years ago
7 0

Answer:

Step-by-step explanation:

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TiliK225 [7]
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y = 2x + 20.

So after x= 10 months the mosquito population will be,
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There will be 40 mosquitoes after ten months.
7 0
3 years ago
Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he
Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, time=\frac{distance}{speed}

So, time for running= \frac{8}{x}

And time for riding= \frac{11}{x+9}

Equation becomes:

\frac{8}{x}+\frac{11}{x+9}=1.5

Now, multiply every term by 2x(x+9) to clear denominators:  

16(x+9)+22x=3x(x+9)

Simplifying it we get

3x^{2}-11x-144=0

Solve the quadratic equation using formula

x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x=\frac{-16}{3}

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0
3 years ago
What transformations were applied to the graph of the parent function y=tan(x) to produce the function graphed below?
xxMikexx [17]

Answer:

It's D.

Step-by-step explanation:

The graph of tan x passes through (0,0)  whereas this graph passes through the point (pi/4 , 0) so it  a horizontal  translation to the right.  We see that the  period is 6 units along the x axis which is  6 * pi/4 = 3 pi/2.

3 0
3 years ago
Read 2 more answers
Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the
Marta_Voda [28]

Answer:

Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the <u><em>shortest side</em></u>.

8 0
3 years ago
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The factor (x + 2) occurs in the numerator and denominator. There will be a hole at x = 2.
navik [9.2K]

Answer:

false

Step-by-step explanation:

it suppose to be -2 if you equate it to Zero

6 0
3 years ago
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