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Masteriza [31]
3 years ago
11

Johnny left home and drove west 6 miles to Bakersville for flowers. Then he drove 8 miles north to his girlfriend's house. How f

ar apart are Johnny's girlfriend’s house and Johnny's house?
Mathematics
1 answer:
QveST [7]3 years ago
6 0
So use pythagorean theorem to find the  straight distance between hhouses

legs are 6 and 8

a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
squrer root both sides
10=c

the distance=10 miles
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Estimate the sum 7 8/9 + 3.1
Yanka [14]

Answer:

\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}

Step-by-step explanation:

\text{Convert the decimal to the fraction:}\\\\3.1=\dfrac{31}{10}=3\dfrac{1}{10}\\\\7\dfrac{8}{9}+3.1=7\dfrac{8}{9}+3\dfrac{1}{10}\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7\dfrac{8}{9}=7\dfrac{8\cdot10}{9\cdot10}=7\dfrac{80}{90}\\\\3\dfrac{1}{10}=3\dfrac{1\cdot9}{10\cdot9}=3\dfrac{9}{90}\\\\\\7\dfrac{8}{9}+3.1=7\dfrac{80}{90}+3\dfrac{9}{90}=(7+3)+\dfrac{80+9}{90}=10\dfrac{89}{90}

3 0
3 years ago
4x - 20 =-44 I need the answer ASAP
Trava [24]

Answer:

x=8

Step-by-step explanation:

44-20=24

24/4=8

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2 years ago
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Would it be distribution were you multiply the three in? -3(b-7) -3*b and -3*-7 where your answer would be -3b+21
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A population of bacteria is 8500 on Day 1, 9350 on Day 2, and 10285 on Day 3.
11111nata11111 [884]

Answer:

<em>The population on 30th day will be </em><em>134836</em><em>.</em>

Step-by-step explanation:

This is a case of exponential growth. The general form of exponential function is,

y=ab^x

where, a and b are constants.

The data points from the question are (1,8500),(2,9350),(3,10285)

Putting the values in the function,

for x=1, y=8500

8500=ab  ----------1

for x=2, y=9350

9350=ab^2  ------2

Dividing equation 2 by 1,

\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1

\Rightarrow b=1.1

Putting the value of b in equation 1,

\Rightarrow a=\dfrac{8500}{1.1}=7727.27

Now the function becomes,

y=7727.27(1.1)^x

Putting x=30, we get

y=7727.27(1.1)^{30}=134836.2\approx 134836

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