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3 years ago

Mark said that the product of 0.02 and 0.7 is 14. Mark is wrong. What is the product

Mathematics

2 answers:

vovikov84 [41]3 years ago

3 0

Answer:

0.007

Step-by-step explanation:

2 times 7 is 14 and you move the decimal 3 times

Flura [38]3 years ago

3 0

It’s 0.014 because 2 multiplied by 7 is 14 and then you convert it into a decimal

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pogonyaev

Answer:

Step-by-step explanation:

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3 years ago

The national debt in 2013 was $16,755,133,009,522. What is the smallest power of 10 that will exceed this number.

Artemon [7]

Answer:

$10^{14}$

Step-by-step explanation:

In scientific notation, the national debt in 2013 was approximately

$1.67 \times 10^{13}$

You can see this by taking the decimal point between the 1 and 6 and moving it 13 places to the right.

The smallest power of 10 that will be larger than this number is $10^{14}$ .

4 0

3 years ago

A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov

Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

$\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water$

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

$lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.$

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

$lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water$

3) and replaced it with 10 liters of water.

$New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters$

The final ratio of lemon juice to water:

$\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19$

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

4 0

3 years ago

The equipment elevator descends 4 feet per second. The elevator for the miners descends 17 feet per second. The equipment elevat

Ymorist [56]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Equipment elevator Descent = 4 fts per Second

Miners elevator descent = 17 ft/sec

Miner's elevator begins descent 25 seconds after equipment elevator :

Elevation after another 12 seconds :

Descent = (speed * time)

Equipment elevator = 4 * (25 + 12) = 148 ft descent

Miner's elevator = 17 * 12 = 204 ft descent

The Miner's elevator is deeper at 204 feets.

8 0

4 years ago

Given the functions f(x) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from least to greatest based on their ax

artcher [175]

g(x), h(x), f(x)
f(x), h(x), g(x)
g(x), f(x), h(x)
h(x), f(x), g(x)

6 0

3 years ago

Mark said that the product of 0.02 and 0.7 is 14. Mark is wrong. What is the product​

Mark said that the product of 0.02 and 0.7 is 14. Mark is wrong. What is the product