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Talja [164]
3 years ago
6

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

2 : 5

Step-by-step explanation:

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Sofia takes 10mg of a medicine whose concentration in blood decreases by a factor of one half every day. Let t be the number of
adelina 88 [10]

Answer:

L = 10(\frac{1}{2} )^{t-4}

Step-by-step explanation:

If t is the number of days since Sofia took the medication of 10 mg, then the amount of medication in her system after t days will be S = 10(\frac{1}{2} )^{t}.

So, the concentration of medicine in blood decreases by a factor of one half every day.

If we count the number of days from today and Lexi takes 10 mg of the same medicine four days later then the amount of medicine left on her body after t days will be L = 10(\frac{1}{2} )^{t-4}. (Answer)

3 0
3 years ago
Read 2 more answers
A kite is being flown at a 45 angle. The string of the kite is 120 feet long. How high is the kite above the point at which the
MrRissso [65]

Answer: The height of the kite above the point at which the string is held is 120\sqrt{2} feet.

Step-by-step explanation:

Given : A kite is being flown at 45^{\circ} . The string of the kite is 120 feet long.  

Let AB denote the string of kite and AC be the height of the kite above the point at which the string is held.

Now, in right Δ ABC

\sin45^{\circ}=\frac{AC}{AB}\\\Rightarrow\ \frac{1}{\sqrt{2}}=\frac{AC}{120}\\\Rightarrow\ AC=120\sqrt{2}

hence, The height of the kite above the point at which the string is held is 120\sqrt{2} feet.

5 0
3 years ago
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Find two consecutive even integers such that four times the first plus three times the second is 20
Mila [183]
2 consecutive even integers : x and x + 2

4(x) + 3(x + 2) = 20
4x + 3x + 6 = 20
7x + 6 = 20
7x = 20 - 6
7x = 14
x = 14/7
x = 2

x + 2 = 2 + 2 = 4

so ur first number (x) = 2 and ur second number (x + 2) = 4
8 0
3 years ago
The sum of a number and its square is 2. Find the​ number(s).
Yuliya22 [10]
Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1

Numbers meeting that requirement are -2 and 1.

6 0
3 years ago
Raoul saves $14.50 each month for 3 months. He puts his money in the bank and earns $0.33 interest . Hector puts \$3.60 e each w
Norma-Jean [14]

Answer:

$0.63

Step-by-step explanation:

Raoul saves $14.50 each month for 3 months. Total amount saved is 14.50 * 3 = $43.50

He earned an interest of $0.33.

The total amount of money he has is thus: 43.50 + 0.33 = $43.83

Hector puts $3.60 each week for 12 weeks. Total amount save by Hector is thus 3.60 * 12 = $43.2

Now we are asked to get how much money Raoul has. To get this, we simply subtract the amount of money Hector has from that of Raoul

That would be 43.83 - 43.2 = $0.63

4 0
3 years ago
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