Answer:
8989
Step-by-step explanation:
Answer:
x=9
Step-by-step explanation:
Looking at the diagram, we see that four angles are formed by the intersection of two lines. The angles highlighted in blue and green are therefore, vertical angles. We know that vertical angles have equal angle measures meaning that in this case, the measure of the blue angle is equal to the measure of the green angle. Using this, we can now solve for x:
7x+49=2x+94
7x-2x=94-49
5x=45
x=45/5
x=9
Answer:
No she is wrong.
Step-by-step explanation:
Let's simplify step-by-step.
6−3y+4+2y
=6+−3y+4+2y
Combine Like Terms:
=6+−3y+4+2y
=(−3y+2y)+(6+4)
=−y+10
Answer:
=−y+10
Answer:
Below in bold.
Step-by-step explanation:
I'll solve a few of them to illustrate the method:
a) 5x - (3x - 1) = x - 4
The aim is to get all the 'x' terms to one sides of the '=' and the numbers to the other side:
Distribute the negative over the 3x - 1 in the parentheses:
5x - 3x + 1 = x - 4 ( Note that -* -1 = + 1)
Now subtract 1 from both sides:
5x - 3x + 1 - 1 = x - 4 - 1
5x - 3x = x - 5
Now subtract x from both sides:
5x - 3x - x = x - x - 5.
2x - x = -5
x = -5.
(b) 3/5 x + 1 = 2/5 - 3x
We first get rid of the fractions by multiplying each term by 5:
5 * 3/5 x + 1*5 = 5 * 2/5 - 5*3x
3x + 5 = 2 - 15x
3x + 15x + 5 = 2 - 15x + 15x (adding 15x to both sides)
18x + 5 = 2 Subtract 5 from both sides:
18x + 5 - 5 = 2 - 5
18x = -3
Now we divide both sides by 18:
x = -3/18 = -1/6.
g) 0.3(6 + m) = 0.4(8 - m)
0.3 * 6 + 0.3* m = 0.4*8 + 0.4 * -m ( Distributing the 0.3 and 0.4 over the parentheses)
1.8 + 0.3m = 3.2 - 0.4m ( recall that + * - = -)
1.8 - 1.8 + 0.3m = 3.2 - 1.8 - 0.4m
0.3m = 1.4 - 0.4m
0.3m + 0.4m = 1.4 - 0.4m + 0.4m
0.7m = 1.4
m = 1/4/0.7
m = 2.
I hope this helps.
Answer:
2.5 Teaspoons of vanilla are needed.
Step-by-step explanation:
If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.
If you have 5 cups of flour 5 x .5= 2.5 (teaspoons)
