x,y - the numbers
one positive number is 5 less than twice a second number
(1) x - 5 = 2y
their product is 117
(2) xy = 117
(1) x - 5 = 2y <em>add 5 to both sides</em>
x = 2y + 5 <em>substitute it to (2)</em>
(2y + 5)y = 117 <em>use distributive property</em>
(2y)(y) + (5)(y) = 117
2y² + 5y = 117 <em>subtract 117 from both sides</em>
2y² + 5y - 117 = 0
2y² + 18y - 13y - 117 = 0
2y(y + 9) - 13(y + 9) = 0
(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0
y + 9 = 0 <em>subtract 9 from both sides</em>
y = -9
2y - 13 = 0 <em>add 13 to both sides</em>
2y = 13 <em>divide both sides by 2</em>
y = 6.5
<em>substitute the values of y to (1)</em>
x = 2(-9) + 5 = -18 + 5 = -13 < 0
x = 2(6.5) + 5 = 13 + 5 = 18
<h3>Answer: x = 18 and y = 6.5</h3>
Answer:
The unknown number is 66.
Step-by-step explanation:
We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.
55 ÷ 5 = 11
This means that 1/6 of the unknown number is 11.
Now, let's multiply 11 by 6.
11 x 6 = 66
Therefore, the unknown number is 66.
Hope this helps! :)
Answer:
5. I agree with your answer choice.
6. 13.3
Step-by-step explanation:
5. You have m∠1 = 90° = m∠2, so it is reasonable to invoke the transitive property. (Step 4 would use "angles with the same measure are congruent" to complete the proof.)
6. The difference in x-coordinates is (4-1) = 3. The difference in y-coordinates is (22-9) = 13. By the Pythagorean theorem, the distance between the points is ...
... √(3² +13²) = √178 ≈ 13.342 ≈ 13.3
Here I will help you
Step-by-step explanation:
We have to divide 838,880 in to the 50% Like this
838,880/50%=1676
