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Kay [80]
3 years ago
12

Find a number such that one-half of the number is 9 less than two-thirds of the number

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0
Let's say, the number is "a"
thus        \bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}

cross-multiply and solve for "a"
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Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)
borishaifa [10]

Answer:

y = 3x + 2

There slope is  3 and intercept is 2.

<u>First find what are the 2 pair that given by slope =3</u>

First consider A. (3, 11)  and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11)  and BC (5,15)

Tan α = \fraction(15-11)(5-3)

=2

Next consider A. (3, 11)  and D. (2,4)

Tan α = \fraction(11-4)(3-2)

=7

Next consider B (3, 9)  and C. (5,15)

Tan α = \fraction(15-9)(5-3)

=3

So this is ordered pair is generated from slope =3

Step-by-step explanation:

8 0
3 years ago
There is 10 fish in a fish tank and 5 of them drowned how many fish are there?
creativ13 [48]
10 fish are left in the tank
6 0
3 years ago
Read 2 more answers
Q. Mrs. Jackson purchased 8/9 lb of potatoes. She used 3/4 of the potatoes to prepare dinner. How much of the potatoes did Mrs.
kompoz [17]

Answer:

The answer is 5/36

Step-by-step explanation:

first, you are going to convert both of the fractions to have the same dinominator by multiplying by any of their factors.

32/36 - 27/36 = 536

Then you subtract the numerators and that's it

hope I helped :)


7 0
3 years ago
Anyone know the answer to this ??
lana [24]
Answer: 23%
explanation:
4 + 6 + 2 + 2 + 3 + 4 + 6 + 3
There are total of 30 students.
4 + 3
7 students are freshman.
Find the percentage.
7/30 × 100
700/30 = 23.333333...
Round to nearest whole percent.
⇒ 23%
6 0
3 years ago
Forty is no greater than the difference of a number and 2
GuDViN [60]
This can be written as:
40  \leq  n - 2

"No greater than" does not necessarily mean less than, but it just means it cannot go over. So equal to or less than.

"The difference of a number and 2" can be represented as "n - 2"

If you were to solve this inequality, you would end up getting:
42  \leq  n or n  \geq  42

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
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