Answer:
x=-2
Step-by-step explanation:
Hey there!
In order to solve this equation, you need to combine like terms
The equation after combining the x terms and the contants will look like this
10x+3=12x+7
Now you have to take 10x away from both sides
3=2x+7
Now bring all the constants to the left side
3-7=2x
Simplify
-4=2x
divide 2 on both sides to get x by itself
x=-2
So, the answer is x=-2
We have been given that during one period extreme cold, the average daily temperature decreased degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.
First of all we will convert our mixed fraction into improper fraction.
Now we will divide total temperature change (9) by average daily temperature change () to find number of days.
Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.
Therefore, it will take 6 days for the temperature to decrease by 9 degree F.
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
We can use a system of equations to solve this.
Notice that we are required to find 3 consecutive even integers.
This can be represented as x, y, and z, where x is the smallest integer, y is the next largest, and z is the largest of the three.
x = x
y = x + 2
z = y + 2
Take a moment to make sense of the above system of equations.
I can simplify the system a bit more by plugging in the second equation into the third one.
z = (x + 2) + 2
z = x + 4
Now the new system of equations is
x = x
y = x + 2
z = x + 2
Now for the second part of this problem. We are given this equation
2x + z = 268216
You may notice that we no longer need the second equation, y = x + 2. Also, the first equation is redundant, so we can ignore it.
That leaves us with this system:
z = x + 4
2x + z = 268216
What do you think we should do? We can plug in z to solve for x.
2x + (x + 4) = 268216
3x + 4 = 268216
3x = 268212
x = 89404
Now we know the first number in the sequence! Then we can find the other two numbers, because we know that the next numbers must be the next largest even numbers in sequence!
89404, 89406, and 89408 are your answers.
8.8 miles with 132 gallons of gas. You do 132 divided by 15 to get 8.8.