Answer:
x = 7.5
Step-by-step explanation:
Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.
2x - 7 = 4(2)
2x - 7 = 8
2x - 7 + 7 = 8 + 7
2x = 15
x = 7.5
Answer:
a) 4 : 1 : 10
b) 25 : 9 : 13
c) 18 : 11 : 3
d) 2000 : 20 : 1
Step-by-step explanation:
We are to put the values in the form a : b : c
a) 40 ml, 1/100 l, 0.1 l
Put them all in ml (1 l = 1000 ml)
40ml, 10 ml, 100 ml
Therefore:
40 : 10 : 100
In lowest terms, 4 : 1 : 10
b) 2 1/2 kg, 900 g, 1.3 kg
Put them all in grams, (1 kg = 1000 g):
2500 g, 900 g, 1300 g
Therefore:
2500 : 900 : 1300
In lowest terms, 25 : 9 : 13
c) 1.5 hrs, 55 minutes, 1/4 hrs
Put them all in minutes (1 hour = 60 minutes)
90 minutes, 55 minutes, 15 minutes
Therefore:
90 : 55 : 15
In lowest terms, 18 : 11 : 3
d) 60 cm, 6 mm, 0.03 cm
Put them all in mm (1 cm = 10 mm)
600 mm, 6 mm, 0.3 mm
Therefore:
600 : 6 : 0.3
In lowest terms, 2000 : 20 : 1 (Divide by 0.3 because a ratio cannot be decimal)
In equations you must do the same to both sides so that the equation stays equal. also, it's easier to solve if you get the unknowns on one side.
so first you distribute
-7(x-4) means (-7 times x) + (-7 times -4) so -7x+28
-7x+28+8x=12+14
add like terms
x+28=26
subtract 28 from both sides
x=-2
There is 3/4 cup of whatever in one serving. If that serving amount changed to 2, then the 3/4 would be multiplied by 2. If there is half a serving, then it would be divided by 2. There is a constant change, and not one that is always changing.
Answer:
"faster"
Step-by-step explanation:
Let's put the rates of Eli in WORDS PER MINUTE (the normal measure for typing).
First, we need to convert 1/10th of an hour to minutes. Since there are 60 minutes in an hour, we need to multiply 1/10 with 60. So we have:
1/10 hour = 1/10 * 60 = 6 minutes
Now, converting 1/12th of an hour to minutes in the similar manner, we have:
1/12 hour = 1/12 * 60 = 5 minutes
Hence, first time his wpm (words per minute) is ----- 240/6 = 40 wpm
Also, second time his wpm (words per minute) is ------ 240/5 = 48 wpm
2nd time he was faster (since 48 wpm is greater than 40 wpm).
He was faster on his second attempt.