With the pass, the admission price is $10.40
Answer:
<CPE= 137
Step-by-step explanation:
In order to find the measure of (<CPE), one must add the measure of <(CPD) and (<DPE). From the given picture, one can infer that line (CA) is a diameter. This means that the sum of all angles on either side of the line is (180). Therefore, to find the measure of (<DPE) add up all of the angle measures on one side of the line, and set it equal to (180). Solve and then add the result to the value of (<CPD) to find the measure of (<CPE).
(<CPD) + (<DPE) + (<EPA) = 180
Substitute,
88 + (<DPE) + 43 = 180
Simplify,
131 + (<DPE) = 180
Inverse operations,
<DPE = 49
Now add the value of (<DPE) to (<CPD),
(<CPD) + (<DPE)
= 88 + 49
= 137
Answer: The rock would still weigh 90lbs
Step-by-step explanation:
No, weight has being proven to reduce by the further you move from the center of the Earth. But since even the tallest buildings in the world or tallest mountains are a tiny fraction of the Earth’s radius, the difference in weight won’t be something that can be measured as it’s a tiny fraction. So the mass of the rock doesn’t change what changes is the gravitational force ( g ). So the rock would still end up weighing 90lbs even at the top of the tower because it is still within the earths atmosphere.
Answer:
(11/9, 26/9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
5x + y = 9
10x - 7y = -8
<u>Step 2: Rewrite Systems</u>
Manipulating: Equation 5x + y = 9
- Subtract 5x on both sides: y = 9 - 5x
<u>Step 3: Redefine Systems</u>
y = 9 - 5x
10x - 7y = -8
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 10x - 7(9 - 5x) = -8
- Distribute -7: 10x - 63 + 35x = -8
- Combine like terms: 45x - 63 = -8
- Add 63 on both sides: 45x = 55
- Divide 45 on both sides: x = 11/9
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5x + y = 9
- Substitute in <em>x</em>: 5(11/9) + y = 9
- Multiply: 55/9 + y = 9
- Isolate <em>y</em>: y = 26/9
Answer: 1% red and 3% orange
explanation:
Not sure if its right but did my best!!