Answer:
x - 3 < -5 is the inequality x < -2 is the solution
Step-by-step explanation:
x - 3 < -5
add 3
x < -2
Answer:
Option D) B and C
Step-by-step explanation:
we know that
To find out the percentage of high school teachers that have a second job, divide the number of teachers that have a second job by the total number of teachers
<em>Survey A</em>
Convert to percentage
<em>Survey B</em>
Convert to percentage
<em>Survey C</em>
Convert to percentage
<em>Survey D</em>
Convert to percentage
Compare the percentages
Surveys B and C have the same percentage
therefore
Surveys B and C show proportional results, because the ratio of the number of teachers that have a second job by the total number of teachers is equal (this number is the constant of proportionality k in a proportional relationship between two variables)
I think it is 8 because 8 * 8 is 64 and 8 * 9 is 72 so it couldn’t be more than 8
Answer:
A ≈ 40°
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>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = A
Opposite Leg = 27
Hypotenuse = 42
<u>Step 2: Solve for </u><em><u>A</u></em>
- Substitute [sine]: sinA = 27/42
- Simplify: sinA = 9/14
- Trig inverse: A = sin⁻¹(9/14)
- Evaluate: A = 40.0052°
- Round: A ≈ 40°
Answer:
9Kg, 18Kg and 63 Kg
Step-by-step explanation:
Sum the parts of the ratio, 1 + 2 + 7 = 10 parts
Divide the weight of sand by 10 to find the value of one part of the ratio
90 Kg ÷ 10 = 9 Kg ← value of 1 part of the ratio, thus
2 parts = 2 × 9 Kg = 18 Kg
7 parts = 7 × 9 Kg = 63 Kg
Thus the weights of each bag are 9 Kg, 18 Kg and 63 Kg
