Answer:
x=6, y=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
The question is asking for the cubic feet inside the prism, which means it wants the volume.
The volume equation is:
Volume= length x width x height
The issue is: the measurements of the prism are given to us in inches, while the problem asks for feet. We just need to convert each measurement, by dividing each by 12, since there are 12 inches per foot.
40 inches/12=3.33 feet
45 inches/12=3.75 feet
30 inches/12=2.5 feet
Now, we just have to plug in the numbers we found to solve for the volume.
V=(3.33 feet)(3.75 feet)(2.5 feet)
V=31.22 cubic feet
<h3><u>Question</u><u>:</u></h3>
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
<h3><u>Solution</u><u>:</u></h3>
- Let the age of Tiffany be x years.
- Then, the age of Emily = 4x years.
- After 10 years, the age of Tiffany will be (x+10) years.
- After 10 years, the age of Emily will be (4x+10) years.
- Therefore, by the problem
- So, Tiffany's present age = 5 years.
- Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>
Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
Answer:
n=-18
Step-by-step explanation:
subtract 8 from both sides.
then you do -10 subtracted by 8 and thats -18.
