To find out how big of a TV Don can mount on his wall and still have at least 24 1/2 inches left on both sides, we just need to subtract the amount of space Don wants to save from the amount that Don has total.
Also, decimals are much easier to work with in these types of problems than fractions, so we will convert the fractions to decimals.
88 3/4 = 88.75
24 1/2 = 24.5
Since Don wants to save 24.5 inches on both sides, we will need to multiply 24.5 by 2 before continuing.
24.5 * 2 = 49
Then, we just need to subtract the amount of length he wants to save by the total amount he has.
88.75 - 49 = 39.75
39.75 in fraction form would be 39 3/4
The largest TV Don can fit on his wall while saving the amount he wants to save on both sides for his speakers is 39 3/4 inches. That means he can get either Television A, B, or C.
Hope that helped =)
Answer:
x=6
Step-by-step explanation:
Solve for x:
5 (2 x - 8) - 15 = 5
5 (2 x - 8) = 10 x - 40:
10 x - 40 - 15 = 5
Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):
10 x + (-40 - 15) = 5
-40 - 15 = -55:
10 x + -55 = 5
Add 55 to both sides:
10 x + (55 - 55) = 55 + 5
55 - 55 = 0:
10 x = 5 + 55
5 + 55 = 60:
10 x = 60
Divide both sides of 10 x = 60 by 10:
(10 x)/10 = 60/10
10/10 = 1:
x = 60/10
The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:
Answer: |
| x = 6
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.
The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.
This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.
which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.
which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.
Answer:
As we know:
A nickle is worth 5 cents.
A dime is worth 10 cents.
A quarter is worth 25 cents.
Here is what Robert had:
Number of nickles (a)
Number of dimes (b)
Number of quarters (c)
Here is assumption:
5a + 10b + 25c = 850
a = 3b
c = b + 10
=> 5(3b) + 10b + 25(b + 10) = 850
=> 50b + 250 = 850
=> 50b = 600
=> b = 600/50 = 12
=> a = 3b = 3 x 12 = 36
=> c = b + 10 = 12 + 10 = 22
=> Number of nickles: 36
=> Number of dimes: 12
=> Number of quarters: 22
Hope this helps!
:)
Answer: Your answer is 8 (:
Step-by-step explanation: 12 + 8 = 20
