Answer:
Pool A.
Step-by-step explanation:
This can be solved through ratios. You would write it as
So,
for the first one, and
for the second. You might want to use a calculator for that part, but you could also change the gallons to cups, which gives you a much better number of 10.515. So,
, and
So, pool A is at a faster rate. If you want it in gallons per minute, it's by 0.01 (with the 1 repeating) gallons per minute. By cups, it's 0.17525 cups per minute.
(The reason I did not do this by cross multiplying and dividing ratios is because it gives you the exact same answer if you are finding it per one, as I am here with per one minute. You can do it this way, it just wastes a bit of time.)
Answer:
$500
Step-by-step explanation:
We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.
<u>Second Discoun</u>t
20% off means we paid 80%. We know we paid $328 of some price.
![\frac{80}{100} =\frac{328}{y} \\](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B100%7D%20%3D%5Cfrac%7B328%7D%7By%7D%20%5C%5C)
I can now cross-multiply by multiplying numerator and denominator from each ratio.
![80y=100(328)\\80y=32800](https://tex.z-dn.net/?f=80y%3D100%28328%29%5C%5C80y%3D32800)
I now solve for y by dividing by 80.
![\frac{80y}{80} =\frac{32800}{80}](https://tex.z-dn.net/?f=%5Cfrac%7B80y%7D%7B80%7D%20%3D%5Cfrac%7B32800%7D%7B80%7D)
y=410
The price after the first discount was $410.
<u>First Discount</u>
We will repeat the steps above with $410. 18% off means we paid 82%.
![\frac{82}{100}=\frac{410}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B82%7D%7B100%7D%3D%5Cfrac%7B410%7D%7By%7D)
I can now cross-multiply by multiplying numerator and denominator from each ratio.
![82y=100(410)\\82y=41000](https://tex.z-dn.net/?f=82y%3D100%28410%29%5C%5C82y%3D41000)
I now solve for y by dividing by 82.
![\frac{82y}{82} =\frac{41000}{82}](https://tex.z-dn.net/?f=%5Cfrac%7B82y%7D%7B82%7D%20%3D%5Cfrac%7B41000%7D%7B82%7D)
y=500
The original price was $500.
Answer:
3. ASA (Angle Side Angle)
4. CPCTC (Congruent Parts of Congruent Triangles are Congruent)
Step-by-step explanation:
Since angle Q is congruent to angle T, side QR is congruent to side TR, and angle R is congruent to angle R, we can say that the triangles are congruent because of the Angle Side Angle Postulate.
With that being said, the other parts of the triangle are congruent, which is proved by the CPCTC theorem.
#teamtrees #WAP (Water And Plant)
Use Photomath; it’s free for ios and android and shows you the steps to solve, too. i did 22
X=1.5 and y=3.5 by using simultaneous equations you can see when you substitute x as 1.5 and y as 3.5