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Paha777 [63]
3 years ago
14

For every 13 birds born at the zoo there are two animals born. There were 44 if you were animals born last month then birds so h

ow many animals were born?
Mathematics
1 answer:
Daniel [21]3 years ago
4 0
The ratio birds : animals = 13 : 2
so for every 1 animal, 6.5 birds were born

last month: animals = birds - 44
birds - animals = 44
use trial and improvement to find:
if there were 52 birds, there must be 8 animals
CHECK: 52 - 8 = 44
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a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still
Ghella [55]
Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.


keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c

what is the speed of the boat?  well, 61 + c = b.
6 0
3 years ago
Sasha is planning to create a garden with area 30 m2. She could use a
son4ous [18]

Answer:

Circle requires ≈ 20 m of edging

Step-by-step explanation:

A = πR²

R = √(A/π)

C = 2πR = 2π√(A/π)

C = 2π√(30/π) = 19.41625... ≈ 20 m

square needs ≈ 22 m of edging

equilateral triangle needs ≈ 25 m of edging

5 0
2 years ago
What is the interquartile range if the data set? 5,911,13,16,16,19,21
max2010maxim [7]

Answer:

Step-by-step explanation:

5,9,11,(13,16),16,19,21

the mean(middle number) = (13 + 16) / 2 = 29/2 = 14.5

Q1 = (9 + 11) / 2 = 20/2 = 10

Q3 = (16 + 19) / 2 = 35/2 = 17.5

interquartile range (IQR) = Q3 - Q1 = 17.5 - 10 = 7.5 <==

7 0
2 years ago
Expand. Your answer should be a polynomial in standard form. (b^2+5)(−b^2+7)=
Blizzard [7]

(b^2+5)(−b^2+7)

Use the FOIL METHOD to expand.

-b^4 + 7b^2 - 5b^2 + 35

-b^4 + 2b^2 + 35

Did you follow?

6 0
3 years ago
What is the simplified form of this expression?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4x3y3%7D%7B8x5y2%7D%20" id="Te
jek_recluse [69]

Answer:

something

Step-by-step explanation:

6 0
3 years ago
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