Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
Answer:
4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.
Answer:
The correct answer is C.
Step-by-step explanation:
There are 8 slots on Spinner B.
3 of those slots have squares.
Hence out of all the slots, 3/8 of them have squares.
Hope this helps:) Goodluck!
3pie+12mm is the correct answer (A)
Answer:
(9, 0)
Step-by-step explanation:
Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).
Substitute (0, 8) in the objective function.
We get P = 3(0) + 2(8) = 16
Now for (x , y) = (5, 4)
P = 3(5) + 2(4) = 15 + 8 = 23
At (9, 0) we get P = 3(9) + 2(0) = 27.
Clearly, we have the maximum value at (9, 0).
And the maximum value is 27.
