Answer:
-3072
Step-by-step explanation:
ar^(n-1)
a is the first term.
r is the common ratio.
3(-4)^(6-1)
3(-4)^5
3(-1024)
= -3072
The 6th term of the geometric sequence is -3072.
Hi there!
Dimensions of rectangular room :-
• Length = 109 inches
• Breadth = 103 inches
Dimensions of square tiles :-
• Each side = 3 inches
It's known :-
No. of tiles = Area of rectangular room / Area of tile
No. of tiles =
No. of tiles =
No. of tiles = 1,247
Hence,
Th' number of tiles required for the job is 1,247
~ Hope it helps!
18. Make the values have the same denominators.
4 2/3(8/8)= 112/24
5 3/8 (3/3)= 129/24
Add the values
112/24+129/24= 241/24
Simplify the answer
241/24= 10 1/24
The answer for question 10 1/24 ounces.
20. Multiply 1 1/4 by 5. (There are 5 days from Monday through Friday)
1.25(5)= 6 1/4
The answer to question 20 is 6 1/4.
Hope this helps!
Answer:
x = 75 and y = -72
Step-by-step explanation:
It is given that,
1/5 x + 1/8 y = 1 ------(1)
1/2 x − 1/3 y = 1 -------(2)
<u>To find the solutions of the system of equations</u>
Step 1: eq(1) * 5 ⇒
x + 5/8y = 5 ----(3)
Step 2: eq(2) * 2 ⇒
x - 2/3y = 2 -----(4)
Step 3: eq(3) - eq(4) ⇒
x + 5/8y = 5 ----(3)
<u>x - 2/3y = 2 -</u>----(4)
0 +(5/8 - 2/3)y = 3
-1/24 y = 3
y = -24*3 = -72
Step 4: Substitute the value of y in eq(1)
1/5 x + 1/8 y = 1 ------(1)
1/5 x + 1/8 (-72) = 1 ------(1)
1/5 x - 24 = 1
1/5 x = 25
x = 5*25 = 75
Therefor x = 75 and y = -72
Answer:
Option A is the correct answer.
Step-by-step explanation:
Here we need to factorize x²+3x−18
The coefficient of x is 3 and the constant is -18
Which means
The sum of factors is 3
The product of factors is -18
The factors satisfying are 6 and -3
Here the factors are given in the type (x+)(x−)
So the value after plus is 6 and value after - is 3
Option A is the correct answer.
