Answer:
x=-2.5,9
Step-by-step explanation:
Set them equal to each other to say 2x^2-9x=4x+45. Get them all on one side to get 2x^2-13x-45. Factor that out to get (x+2.5)(x-9). Set that equal to 0 to get x=-2.5,9
<span>What is the next step in the proof? Choose the most logical approach. Statement: ∠1≅∠8 and ∠2≅∠7 Reason: Congruent Supplements Theorem Statement: m∠3+m∠4=180° and m∠7+m∠8=180° Reason: Linear Pair Theorem Statement: m∠3+m∠5=180° and m∠4+m∠6=180° Reason: definition of supplementary angles Statement: ∠7≅∠6 and ∠8≅∠5 Reason: Vertical Angles Theorem Done </span>
<u>Question </u>
Select the three equations that this diagram could represent.
<u> </u>
<u>Answer</u>
<em>Well, we first have to find out what the diagram says.</em>
<em>So what the diagram says is that 18 + 18 + 18 = 54.</em>
<em>Given this information, we have to figure what other answers = 54.</em>
<em>Therefore the answers are </em>
(A) 18 * 3 = 54.
(D) 54/18 = 3
(E) 54/3 =18
What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.
What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?
Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L
Now, add both synthetic oil and natural oil to find amount of petrolyn oil.
355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil
This question is not correctly written
Correct question
Noah drank 4/5 liter of water Monday before going jogging. He drank 2/3 liter of water after his jog. How much water did Noah drink altogether? Write your answer as a mixed number.
Answer:

Step-by-step explanation:
Noah drank 4/5 liter of water Monday before going jogging. He drank 2/3 liter of water after his jog.
To find the total liters of water he drank, we should add up the liter of water he drank on Monday before going jogging and liter of water after his jog.
4/5 + 2/3
Find the Lowest Common Multiple for 5 and 3 , which is 15.
= [(4×3) + (2×5)] /15
= 12 + 10/ 15
= 22/15
As a mixed Fraction, the answer
= 