Answer:
5.67
Step-by-step explanation:
Let's examine both factors...
1.35 comes from 135, it's 100 times smaller, so this factor would force me to move the decimal point by 2 positions to the left.
4.2 comes from 42, it's 10 times smaller, so this factor would force me to move the decimal point by 1 position to the left.
In total, the decimal point would have to be moved by 3 positions, to the left... so 5,670 would become 5.67
Which is easily verifiable just by looking at the end equation, even without calculating it:
1.35 * 4.2 would give something around 5... not around 50 nor 500.
It should be noted that the value of 597 subtracted from 884 is 287.
<h3>How to illustrate the subtraction?</h3>
The information is simply that we should subtract 884 and 597 and also illustrate it.
This will be:
884 - 597 = 287.
A word problem illustrating this is that a man had 884 pens and gave 597 pens to his friends. How many pens does he have left?
This will be:
= 884 - 597 = 287
Learn more about subtraction on:
brainly.com/question/220101
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There is no common factor between 15, 17 and 18 because 17 is prime.
15z² +17z - 18 =
d = 17² - 4.15.-18
d = 289 + 1080
d = 1369
z = (-17 +/- \/1369) : 2 * 15
z = (-17 + 37) : 30
z' = 20 : 30 = 2/3
z" = (-17 - 37) : 30
z" = -54 : 30 = -1.8
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Since the ratio is 2:5:7, you can set up the equation 2x + 5x + 7x = 49. Solving it will give you 14x = 49 or x = 3.5. This means that Jayden got 7(3.5) = $24.50 and Ramon got 2(3.5) = $7. Therefore Ramon got $24.50 - $7 more than Jayden, which is equal to $17.50.
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936