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Vlada [557]
3 years ago
13

You are making a salad. The ratio of olives to croutons is 5 : 3. You put 12 croutons in your salad. How many olives do you put

in your salad?
Mathematics
2 answers:
swat323 years ago
6 0

Answer:

20

Step-by-step explanation:

Ratio of olives : croutons is 5 : 3.

If you put 12 croutons, you put 4 times the amount of croutons in the ratio since 12/3 = 4.

That means you must also put 4 times the number of olives.

4 * 5 = 20

Answer: 20

lana66690 [7]3 years ago
5 0

Answer:

20

Step-by-step explanation:

12/3 (the number of croutons) = 4

Since 4 is your base number, you would multiply 4 x 5.

20 olives

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If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

3 0
3 years ago
X2+5x=3x+11 and solve by completing the square
Butoxors [25]
x^2+5x=3x+11\\
x^2+2x-11=0\\
x^2+2x+1-12=0\\
(x+1)^2=12\\
x+1=\sqrt{12} \vee x+1=-\sqrt{12}\\
x=-1+2\sqrt3 \vee x=-1-2\sqrt3
7 0
4 years ago
-3 ¼ divided by -1/8
Marat540 [252]

Answer:

The answer is 26

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve 2(x + 1) + 4 = 8<br> 1<br> 6.5<br> 4<br> 3
const2013 [10]
The answer to this equation is 1
5 0
3 years ago
According to a report from the Center for Studying Health System Change, 20% of Americans delay or go without medical care becau
Svet_ta [14]

Answer:

The probability no one delays or goes without medical care is 0.168;

The probability only one person delays or goes without medical care is 0.336.

Step-by-step explanation:

This problem can be modeled with a binomial random variable, with sample size n=8 and probability of success p=0.2.

The probability that <em>exactly </em>k Americans delay or go without medical care because of concerns about cost within the sample of eight individuals can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{8}{k} 0.2^{k} 0.8^{8-k}\\\\\\

The probability no one delays or goes without medical care (x=0) is:

P(x=0) = \dbinom{8}{0} p^{0}(1-p)^{8}=1*1*0.168=0.168\\\\\\

The probability only one person delays or goes without medical care (x=1) is

P(x=1) = \dbinom{8}{1} p^{1}(1-p)^{7}=8*0.2*0.21=0.336\\\\\\

4 0
3 years ago
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