Answer:
5hours
Step-by-step explanation:
1 week =7 days
10 hr +20hr = 30 hrs
If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work
In each job you will work for 2hours 30
minute
Each day you will earn $60.00
At tutoring you get $37.50
At sippy drink you will get $22.50
In a week you will get a maximum of $420.00
12(2a-3)=-4a+5
Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.
First, distribute 12 to all terms within the parenthesis
12(2a) = 24a
12(-3) = -36
24a - 36 = -4a + 5
Add 4a to both sides, and add 36 to both sides
24a (+4a) - 36 (+36) = -4a (+4a) + 5 (+36)
24a + 4a = 5 + 36
Simplify
28a = 41
Isolate the a. Divide 28 from both sides
28a/28 = 41/28
a = 41/28
Simplify a
a = 1.46 (simplified)
hope this helps
Answer:
Part A
x is 46°
Part B
Alternate angles are angles that are in relatively opposite locations relative to a transversal
Please see attached diagram showing alternate angles
Step-by-step explanation:
Part A
∠DRP = 110° (Given)
∠QPA = 64° (Given)
∠QPR =
Given that AB is parallel to CD, we have;
∠DRP is congruent to ∠APR (Alternate angles to a transversal RP of parallel lines AB and CD)
Therefore, ∠APR = 115°
∠APR = ∠QPA + ∠QPR (Angle addition postulate)
∴ 115° = 64° + ∠QPR
∠QPR = 110° - 64° = 46°
x = 46°
Part B.
Given that AB is parallel to CD, the lines common (that intersects) both lines are the transversal lines
The angles formed between the parallel lines and the transversal lines have special relationships based on their position with respect to each other
In the question, the angle 110° given between CD and the transversal RP, is found to at an alternate position to the angle ∠APR between the same transversal RP and AB and given that alternate angles are always equal, angle ∠APR is therefore also equal to 110°.
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Solution:</h3>
A linear function is a straight line formed on a coordinate plane.
<u>To classify an equation as a linear function:</u>
- It must not have any exponent in the equation.
- If there is a fraction, the denominator of that fraction must not multiply by x.
If any of these two occurs in an equation, the line can form a curve in a line, which is a non-linear function. A non-linear function is a curved line formed on a coordinate plane.
<u>Option A - y = x³ + 1:</u>
- This equation has an exponent in the variable x. Hence, this is a non-linear function.
<u>Option B - 5x/6 = y - 4:</u>
- This equation has no exponents in the equation. Hence, this is a linear function and also our answer.
<u>Option C - y = 8x²</u>
- This equation has an exponent in the term 8x². Hence, this is a non-linear function.
<u>Option D - y = 1/5x</u>
- The denominator of the fraction on the RHS side is multiplied by x. Hence, this is not a linear function.
Hence, Option B is correct.
<u>Learn more about </u><u>linear functions</u><u>:</u> brainly.com/question/15253497
