Answer:

Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:

It's required to solve the equation for D. All letters must preserve their capitalization.
We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.
Adding 7:

Dividing by f:

To get it into standard you need to simplify
6y - 12 = -3x add 12 to both sides
6y = -3x + 12 add 3x to both sides
3x + 6y = 12
And that is in standard which is A + B = C
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2
to improper fraction.

Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.

Now let's cross multiply, we get


Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x =
cups
So the baker needs
cups to make 90 cookies.
Answer:
3a + 5b - 2
Step-by-step explanation:
The perimeter is the sum of all 3 sides of the triangle.
To find the missing side (x ) sum the 2 known sides and subtract from the perimeter.
x = 6a + 2b - 5 - (2a + 6b - 6 + a - 9b + 3 ) ← simplify parenthesis
= 6a + 2b - 5 - (3a - 3b - 3 ) ← distribute by - 1
= 6a + 2b - 5 - 3a + 3b + 3 ← collect like terms
= 3a + 5b - 2 ← length of missing side
Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:

To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.