Answer:
x=9 :))
Step-by-step explanation:
First set up your equation.
"3 times" is multiplication
"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it
"is increased by ten" that is an addition at the end
Now we have 3(x+7)+10=4
Solve your equation!
Distribute the 3 now we have 3x+21+10=4
Add like terms
now it should look like this... 3x+31=4
Subtract 31 from both sides and it looks like...
3x=27
Divide by the x-value
x=9
The answer is .75 because this is a proportion problem so cm over miles is 1 over 2 equals x over 1.5 you cross multiply and get 2x=1.5 and divide both sides by 2 and you get x=.75
Answer:
45
Step-by-step explanation:
OK, first we turn the variables into into the actual values:
The equation will look like this:
(2)5 + (-5)(-7)
Now its easier to solve! Lets solve (2)5!
2 * 5 = 10
The equation looks like:
10 + (-5)(-7)
We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!
-5 * -7 = 35
Lets finish the rest:
10 + 35 = 45.
Hope this is correct and have a nice day!
4/15 because you make it into a fraction: 8/30, you find the GCF which is 2, so then you divide both the numerator and denominator by 2 and get 4/15 at it's simplest term
First one.
Since the two angles are congruent through vertical angles theorem,
5x = 6x - 8
5x - 6x = -8
-x = -8
x = 8
Second one.
Use the 180° rule.
(8x - 2) + (2x + 2) = 180
8x - 2 + 2x + 2 = 180
8x + 2x + 2 - 2 = 180
10x = 180
x = 180 / 10
x = 18
Third one.
Vertical angle theorem.
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 40 / 2
x = 20
