a) x+5 = 7
b) 2x - 8 = 20
c) 4x - 6x = 200
d) x+1= 5
3
a) x + 5 = 7
x + 5 - 5 = 7 - 5 (Subtract 5 from both sides)
x = 2
b) 2x - 8 = 20
2x - 8 + 8 = 20 + 8 (Add 8 to each side)
2x = 28
2x/2 = 28/2 (Divide each side by 2)
x = 14
c) 4x - 6x = 200
-2x = 200
-2x/-2 = 200/-2 (Divide each side by -2)
x = -100 (Note that a negative number divided by a negative number is positive, whereas a positive number divided by a negative number is negative)
d) x + 1 = 5
x + 1 - 1 = 5 - 1 (Subtract 1 from each side)
x = 4
Answer:
Total number of sheep Jake have = 542.
Step-by-step explanation:
Jake has number of sheep = 540 (rounded to the nearest ten).
As per rule, "we round the number down to the nearest ten if the last digit of the number is between 0 to 5".
So the number of sheep with Jake may be between 540 to 545.
It is also given in the question that the sum of digits of the number is 11, so the number will be,
5 + 4 + x = 11 (Here x = last digit of the number)
9 + x = 11
x = 11 - 9
x = 2
Therefore, total number of sheep with Jake is 542.
The greatest common factor of numbers 15 and 30 would be 15.
Given that,
The two numbers are 15 and 30.
Used the concept of the greatest common factor that states that,
The GCF is defined as the largest number that is a factor of two or more numbers.
For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12.
Here, The two numbers are 15 and 30.
Now, the factors of 15 and 30 are,
Factors of 15: 1, 3, 5, 15
Factors of 30: 1, 2, 3, 5, 6, 10, 15
Clearly, the largest factor that is shared by 15 and 30 is 15.
Therefore, GCF (15, 30) = 15
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Laci and Leon are saving money to go to an amusement park. Laci has $1 more than 4 times the amount of money Leon has. Together, they have $76 Write an
equation to determine how much money they have together
Answer:
The required equation is: or
Step-by-step explanation:
Consider the provided information,
Laci and Leon are saving money to go to an amusement park. Laci has $1 more than 4 times the amount of money Leon has. Together, they have $76.
Let the amount of money Leon has is x.
Therefore, Laci has
Together they have $76.
Therefore the required equation is:
Hence, Leon has $15.
Therefore, Laci has
Laci has $61.