Answer:
3
Step-by-step explanation:
12 x 2 = 24
24 + 2 = 26
26 + (-3) = 23
23 - 16 = 7
7 - 4 = 3
The angles must add to 180 degrees.
Since the angles are in the ratio 7:9:4, their measures are not 7, 9, and 4 since 7, 9, and 4 do not add to 180. If you multiply 7, 9, and 4 by the same number, the new numbers will be in the same ratio. Since we do not know what that number is, we can use x for it.
Multiply 7, 9, and 4 by x to get
7x, 9x, and 4x.
Now add them and set equal to 180.
Then solve for x.
7x + 9x + 4x = 180
20x = 180
x = 9
Now that we know x equals 9, substitute x with 9 and evaluate 7x, 9x, and 4x to find the actual angle measures.
7x = 7 * 9 = 63
9x = 9 * 9 = 81
4x = 4 * 9 = 36
The angles measure 63, 81, and 36 degrees.
The <em><u>correct answer</u></em> is:
She can make 2 loaves of bread and 4 batches of muffins.
Explanation:
Let b represent bread and m represent muffins.
The equation for the amount of flour she needs is 3.5b+2.5m=17.
The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.
To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

She can bake two loaves of bread.
Substituting 2 for b in the first equation, we have
3.5(2)+2.5m=17
7+2.5m=17
Subtract 7 from each side:
7+2.5m-7=17-7
2.5m=10
Divide both sides by 2.5:
2.5m/2.5 = 10/2.5
m = 4
She can bake 4 batches of muffins.
Answer:
y= <u>-2</u><u> </u><u>x</u> -8
4
Step-by-step explanation:
-8 is on the y axis
rise over run u rise -2 run to the side 4