Answer:
35 oz = 2.1875 lb
Step-by-step explanation:
There are 16 ounces in a pound.
35/16 = 2.1875
35 oz = 2.1875 lb.
Hope this helps.
Answer:
j = 19.6
k = 25.9
J = 49°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.
<h3>Analysis</h3>
The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...
Sin = Opposite/Hypotenuse ⇒ Hypotenuse = Opposite/Sin
Tan = Opposite/Adjacent ⇒ Adjacent = Opposite/Tan
Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.
<h3>Application</h3>
Hypotenuse = Opposite/Sin
IJ = 17/sin(41°) ≈ 25.9
Adjacent = Opposite/Tan
IK = 17/tan(41°) ≈ 19.6
Angle J = 90° -41° = 49°
In summary, ...
j = 19.6
k = 25.9
J = 49°
Answer:
Gertrude's favorite is <em>George Burn</em>
What we know from the beginning:
<u>Comedians</u>:
- George Burn
- Jack Benny
- David Letterman
- Jerry Springfield
<u>Lucy</u>: Jerry Springfield is her favorite
<u>David</u>: Does not like David Letterman
<u>Gertrude</u>: Does not like David Letterman, Does not like Jack Benny anymore
Solving:
- Since we know that <em>Jerry Springfield is Lucy's favorite</em>, he is not longer an option. This leaves George Burn, Jack Benny, and David Letterman.
- David and Gertrude do not like <em>David Letterman</em>, so he must be <em>Jose's favorite</em>. This leaves George Burn and Jack Benny
- Gertrude does not like Jack Benny anymore, so the only one left to be <em>her favorite is George Burn</em>
Your numbers are 11 and 32
We know that:
a + b = 44
and
a = 3b
If we substitute “3b” in for a in the first equation, we get a numerical value for b
3b + b = 44
4b = 44
b = 11
Then we substitute the numerical value of b to solve for a:
a = 3b
a = 3(11) = 33
Answer:
Cost of a single Mucho beef burrito: 
Cost of a double Mucho beef burrito: 
Step-by-step explanation:
<h3>
The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>
Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.
Set a system of equations:
To solve this system you can apply the Substitution Method:
1. Substitute the second equation into the first equation and solve for "y":
2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":
