This is the answer with explanation
The value of y in the triangle is 6°.
<h3>How to calculate the value of y in the triangle?</h3>
Firstly, it's important to note that a triangle has the total angles of 180°.
Based on the information, the triangle has interior angle measures of 11y, 10y + 10°, and 10y - 16º.
The value of y in the triangle will be illustrated thus:
11y + 10y + 10 + 10y - 16 = 180
31y - 6 = 180
31y = 180 + 6.
31y = 186
Divide.
y = 186 / 31
y = 6
The value of y is 6.
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Answer:

63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them

He then ate 16 more jelly beans

This was equal to 37 jelly beans

This is the equation
Now solve for x
Subtract 16 from both sides

Multiply both sides by 3

63 Jelly Beans
Answer:
Rounding to nearest hundredths gives us r=0.06.
So r is about 6%.
Step-by-step explanation:
So we are given:

where


.


Divide both sides by 1600:

Simplify:

Take the 6th root of both sides:
![\sqrt[6]{\frac{23}{16}}=1+r](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D%3D1%2Br)
Subtract 1 on both sides:
![\sqrt[6]{\frac{23}{16}}-1=r](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D-1%3Dr)
So the exact solution is ![r=\sqrt[6]{\frac{23}{16}}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B6%5D%7B%5Cfrac%7B23%7D%7B16%7D%7D-1)
Most likely we are asked to round to a certain place value.
I'm going to put my value for r into my calculator.
r=0.062350864
Rounding to nearest hundredths gives us r=0.06.
Answer:
8s
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
10s + -2s
<u>Step 2: Simplify</u>
- Rewrite: 10s - 2s
- Combine like terms: 8s