How many tons are in 1,400 pounds?
2 answers:
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Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And, --------(2)
By putting S = 10 and L = 4 in the inequality (1),
⇒ (true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
⇒ ( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
Number of children attended is 1200 and number of adults attended is 1500
<h3><u>Solution:</u></h3>Given that,
Admission fee for each children = $ 1.50
Admission fee for each adult = $ 4.00
Let "c" be the number of children attended
Let "a" be the number of adults attended
Given that 2700 people enter and $7800 is collected
Number of children attended + number of adults attended = 2700
c + a = 2700 -------- eqn 1
Also given that $7800 is collected
Number of children attended x Admission fee for each children + number of adults attended x Admission fee for each adult = 7800
1.5c + 4a = 7800 -------- eqn 2
Let us solve eqn 1 and eqn 2 to find values of "a" and "c"
From eqn1,
a = 2700 - c ----- eqn 3
Substitute eqn 3 in eqn 2
1.5c + 4(2700 - c) = 7800
1.5c + 10800 - 4c = 7800
-2.5c = -3000
c = 1200
Therefore from eqn 3,
a = 2700 - 1200
a = 1500
Therefore number of children attended = c = 1200
number of adults attended = a = 1500
Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".
Perpendicular is basically a vertical line that makes 90 degree angle with the base.
bisector means the line which divides side into two equal parts.
So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.
Now these perpendicular bisectors meet at some point.
That point is called circumcenter.
Hence final answer will be "circumcenter".
