The best way to find it is to reduce each ratio you work with to its
lowest terms,and see which ones are equal. To reduce a ratio to its
lowest terms, divide each number by their greatest common factor.
First, the one that you're trying to match: <u>49:35</u> .
The greatest common factor of 49 and 35 is 7 .
Divide each number by 7 . . . <em>7:5</em> . . . <u>that's</u> what you have to match.
<u>7:4</u>
Their greatest common factor is ' 1 '.
No help at all, and this one is not it.
<u>14:25</u>
Again, their greatest common factor is '1 '.
No help at all, and this one is not it.
<u>21:15</u>
Their greatest common factor is ' 3 '.
Divide both numbers by 3 . . . <em>7:5 </em>.
That's it !
4000 is his total monthly balance.
420 + 380 = 800
800/4000 = 0.20
0.20 = 20%
He spent 20% of his monthly income on food and personal items.
Answer:
<h2>
6 1/2 lbs</h2>
Step-by-step explanation:
Given the weight of granite to be 74 26/36 lbs,
Weight of quartz is 81 9/40 lbs.
To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.
Weight of quartz - Weight of granite
= 81 9/40 - 74 26/36
= 3,249/40 - 2690/36
= (29, 241 - 26,900)/360
= 2,341/360
= 6 181/360
≈ 6 1/2 lbs
quartz weighs approximately 6 1/2 lbs much more than granite
Given :
A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.
To Find :
If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.
Solution :
Let, range in which participant guess would be considered correct is r.
So, r should be in range $( 24,995 ± 1000 ).
( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )
23,995 ≤ r ≤ 25,995
Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .
Hence, this is the required solution.
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
