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Liula [17]
2 years ago
11

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $23.46 per hour by the store. I

n the evening she works at a restaurant as a manager for 8 hours and is paid $7.47 per hour, How much does she make on average per hour for the day?​
Mathematics
1 answer:
Oxana [17]2 years ago
8 0

Answer:

$14.93

Step-by-step explanation:

she works 7+8=15 hours.

she earns in total per day

7×$23.46 + 8×$7.47 = $223.98

on average she makes per hour

223.98 / 15 = $14.93

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0
3 years ago
Read 2 more answers
Factor the expression 49b²-36​
Travka [436]

Answer:

49b² - 36

Step-by-step explanation:

Find the factors of 49 & 36:

49 = 1, 7, 49

36 = 1, 2, 6, 18, 36

As you can tell, there are no common factors (1 does not count), therefore, the expression given is already in most factored form.

49b² - 36 is your answer.

~

7 0
3 years ago
A ship is 2.8 degrees off course. If the ship is traveling at 14 mph, how far off course will it be after 2 hours?
Ostrovityanka [42]
I am pretty sure it’s 1.37 miles
6 0
3 years ago
part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.​
andreev551 [17]

Answer:  \bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c²  , <em>where "c" is the hypotenuse</em>

5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}

Note: hypotenuse not needed for tan

8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

8 0
2 years ago
? Explain idk what that means
Korvikt [17]

7 people, 7 walls, 48 minutes

Each person paints 1 wall in 48 minutes

20 persons, 20 walls

Each can paint 1 wall in 48 minutes so it will

take 48 minutes.

5 0
3 years ago
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