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PSYCHO15rus [73]
3 years ago
6

The length of a city block running north to south in NYC is about 5 times 10 to the negative second power miles. The distance fr

om NYC to Mumbai, India is about 7.5 times 10 to the third power miles. The distance from NYC to Mumbai is about how many times the length of a NYC north- south block?
Mathematics
1 answer:
NemiM [27]3 years ago
7 0
So nyc=5 times 10^-2 miles

NYC-Mumbai=7.5 times 10^3

so
5 times 10^-2 times x=7.5 times 10^3
divide both sdies by 5 times 10^-2
x=(7.5 times 10^3)/(5 times 10^-2)
when dividing scientific notation you do this
x=(7.5 times 10^3)/(5 times 10^-2)=(7.5/5) times ((10^3)/(10^-2))
to divide exponents just subtract top from bottom
3-(-2)=5
answer is
x=1.5 times 10^5

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If 5% of an item is $1.50, what is the original price?
Olegator [25]

Answer:

original price = $30.00

Step-by-step explanation:

note that the original price is 100% , then

1% = $1.50 ÷ 5 = $0.30 , so

100% = 100 × $0.30 = $30.00

6 0
1 year ago
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ryzh [129]

Answer:

Let's say that x is sam's age and y is Amy's age

x=y-4

and five years ago:

x-5=(y-5)/2

y-4-5=(y-5)/2

2y-18=y-5

y=13

x=9

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5 0
2 years ago
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Rationalise 1/√5 please tell​
Assoli18 [71]

Answer:

Step-by-step explanation:

1/\sqrt{5}

=1\sqrt{5} *\sqrt{5}/\sqrt{5}

=1*\sqrt{5}/\sqrt{5}*\sqrt{5}

=1\sqrt{5}/5

6 0
3 years ago
Mike and John are the partners in a local bar who invest in a ratio of 7:13, respectively. They started the business with $1.5M.
Mamont248 [21]

Answer:

A) $525,000

B) $975,000

C) 35%

Step-by-step explanation:

To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.

To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.

7 0
2 years ago
Dr Wellbee advised his patients to drink 8 eight-ounce glasses of water everyday for every 50 pounds of weight. Kelby drank 168
BlackZzzverrR [31]
Kelby drank 168 glasses of water per week
i.e 24 glasses per day

Since 8  eight-ounce glass of water is for every 50 pounds.
1 eight-ounce glass is for = 50/8 pounds
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= 150pounds

So kelby probably weighs 150 pounds
3 0
3 years ago
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