Answer:
40
Step-by-step explanation:
6% of number = 6/100 × x = 6x/100 = 3x/50
Sum of the number and 6% of itself = 42.4
x + (3x/50) = 42.4
(50x+3x)/50 = 42.4
53x = 42.4 × 50
53x = 2120
x = 2120/53
x = 40
Answer:
7/8 of a gallon
Step-by-step explanation:
First find a common denominator for each of the values, in this case eighths. Next, add the total water used for the tomatoes and peppers (you'll get 7/8 gallons). Then, convert the 2 and a half gallons to eighths, getting 20/8 of a gallon. Next, subtract the 7/8 from the 20/8; getting 13/8. Since you need to find the amount of water used for the lettuce, subtract the last value from 3/4 gallons (or 6/8)
Problem 215
Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.
We have this mapping:
A <--> C
B <--> D
C <--> E
This means...
Angle BAC corresponds to Angle DCE (red angles)
Angle ABC corresponds to Angle CDE (blue angles)
Angle BCA corresponds to Angle DEC (green angles)
It also means...
Side BC corresponds to Side DE (red sides)
Side AC corresponds to Side CE (blue sides)
Side AB corresponds to Side CD (green sides)
Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.
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Problem 216
Answer: True
Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.
<h2>
Answer:</h2>
The value is:
-4
<h2>
Step-by-step explanation:</h2>
We are asked to find the value of the ceiling function: ![\left \lceil -4.6 \right \rceil](https://tex.z-dn.net/?f=%5Cleft%20%5Clceil%20-4.6%20%5Cright%20%5Crceil)
As we know that the ceiling function always occupy the higher value in integers.
i.e. the ceiling function act as follows:
it takes value 0 when -1< x≤0
1 when 0 < x ≤ 1
2 when 1 < x ≤2
and so on.
As we know that:
-4.6 lie between -5 and -4.
Hence, we have:
![\left \lceil -4.6 \right \rceil=-4](https://tex.z-dn.net/?f=%5Cleft%20%5Clceil%20-4.6%20%5Cright%20%5Crceil%3D-4)
4x-sum to
The value of 7
Equals3