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Nat2105 [25]
2 years ago
13

Identify the following as rational or irrational numbers.

Mathematics
1 answer:
Eduardwww [97]2 years ago
6 0

Answer:

2. Rational

3. Irrational

4. Irrational

5. Rational

6. 3 41/99

7. 8 9/100

8. 19/50

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Manny is making 12 quarts of orange juice from concentrate and water. The number of quarts of water is 3 times the number of qua
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Answer: There are 3 quarts of concentrate and 9 quarts of water.

Step-by-step explanation:

Since we have given that

Ratio of number of quarts of water to number of quarts of concentrate is

3:1

Number of quarts of orange juice from concentrate and water = 12 quarts

So, the number of quarts of concentrate would be

\dfrac{1}{4}\times 12\\\\=\dfrac{12}{4}\\\\=3\ quarts

the number of quarts of water would be

\dfrac{3}{4}\times 12\\\\=3\times 3\\\\=9\ quarts

Hence, there are 3 quarts of concentrate and 9 quarts of water.

8 0
2 years ago
Consider the circle of radius 10 centered at the origin. provide answers accurate to two decimal places. (a) the equation of the
Shkiper50 [21]
(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line


(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)

7 0
2 years ago
Read 2 more answers
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,
brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = 70+77+81+x\\= 228+x

Average should exceed 70%

i.e.\bar X \geq 70\\Total\geq 70(4) =280

Comparing the two totals we have

228+x\geq 280\\x\geq 280-228 = 52

Hemust  score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0
2 years ago
Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
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Answer:

Any value of x x makes the equation true. All real numbers Interval Notation: ( − ∞ , ∞ ) .

4 0
2 years ago
Read 2 more answers
Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveli
creativ13 [48]
The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars

The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros

<span>We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n </span>

According to this the following statement is true:
A) <span>(D x E)(n) = 5.10(0.72n)</span>
8 0
2 years ago
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