Answer: $1,540
Step-by-step explanation:
Given the following amount charged by a worker :
First 45 hours = $14 per hour
time and half for the next 10 hours
Double time for all hours after that:
If he worked for 80 hours :
First 45 hours = (45 × $14) = $630
Next 10 hours:
Time and half for 10 hours is equivalent to (10 × 1.5) = 15 hours
(15 × $14) = $210
Double time for all subsequent hours :
80 - (45 + 10) = 80 - 55 = 25
Double time : (2 × 25) = 50 hours
(50 × 14) = $700
Hence, total amount earned :
($630 + $210 + $700)
= $1,540
R = rate for the lawn sprinkler
rate of lawn sprinklerand hose would be 5 minutes /r ( rate per minute)
we would then want to add that to the ratio of the lawn sprinkler and hose together together which would be 5 minutes for both / 8 minutes for hose
we want to add those together to equal 100 percent, which can also be written as 1
so the correct equation would be B) 5/8 + 5/r = 1
The mileage from the Supermarket to the Library may be calculated using Pythagorean Theorem.
The coordinates of the Library are (7,10) and the coordinates of the Supermarket are (3,7).
So, the distance requested is √ [ (7-3)^2 + (10 - 7)^2 = √[ 4^2 + 3^2 = √ [16 + 9] =
= √25 = 5
So, he runs 5 miles.
And the reimbursement will be $0.50 / mile * 5 mile = $ 2.50.
Answer: option B) $ 2.50
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
