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vodka [1.7K]
2 years ago
14

Jamie kept track of the total hours and minutes she worked this week at the local health food store.

Mathematics
1 answer:
ddd [48]2 years ago
7 0

1 hour = 60 minutes.

Convert the minutes to decimals by diving by 60

30/60 = 0.5

2 hours and 30 minutes = 2.5 hours

45/60 = 0.75

5 hours 45 minutes = 5.75 hours

15/50 = 0.25

3 hours 15 minutes = 3.25 hours

Ow add all the hours:

2.5 + 5 + 5.75 + 3.25 = 16.5 hours

Answer: B. 16.50

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Triangle JKL has vertices J(2,5), K(1,1), and L(5,2). Triangle QNP has vertices Q(-4,4), N(-3,0), and P(-7,1). Is (triangle)JKL
Tems11 [23]

Answer:

Yes they are

Step-by-step explanation:

In the triangle JKL, the sides can be calculated as following:

  • J(2;5); K(1;1)

             => JK = \sqrt{(1-2)^{2} + (1-5)^{2}  } = \sqrt{(-1)^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • J(2;5); L(5;2)

             => JL = \sqrt{(5-2)^{2} + (2-5)^{2}  } = \sqrt{3^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • K(1;1); L(5;2)

             =>  KL = \sqrt{(5-1)^{2} + (2-1)^{2}  } = \sqrt{4^{2}+1^{2}  } = \sqrt{1+16}=\sqrt{17}

In the triangle QNP, the sides can be calculate as following:

  • Q(-4;4); N(-3;0)

             => QN = \sqrt{[-3-(-4)]^{2} + (0-4)^{2}  } = \sqrt{1^{2}+(-4)^{2}  } = \sqrt{1+16}=\sqrt{17}

  • Q (-4;4); P(-7;1)

   => QP = \sqrt{[-7-(-4)]^{2} + (1-4)^{2}  } = \sqrt{(-3)^{2}+(-3)^{2}  } = \sqrt{9+9}=\sqrt{18} = 3\sqrt{2}

  • N(-3;0); P(-7;1)

             =>  NP = \sqrt{[-7-(-3)]^{2} + (1-0)^{2}  } = \sqrt{(-4)^{2}+1^{2}  } = \sqrt{16+1}=\sqrt{17}

It can be seen that QPN and JKL have: JK = QN; JL = QP; KL = NP

=> They are congruent triangles

7 0
3 years ago
Read 2 more answers
1.Solve the inequality (x-2)(x+1) ≥ 0 .
scoray [572]

Answer:

#1: inequality form: x ≤ –1 or x ≥ 2

interval notion: ( -∞,-1] U [2,∞)

#2: false/no solution

#3: A) point form: (3,9)(-1,1)

equation form: x= 3,y=9 and x= -1,y=1

B)point form: (1,7)(7,1)

equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

#1: solve for x by simplifying both sides of the inequality, then isolating the variable.

#2: N/A

#3: solve for the first variable in one of the equations, then substitute the results into the other question.

5 0
3 years ago
Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the us
GarryVolchara [31]

Answer:

option A

Step-by-step explanation:

given,

10% A grades     80% B grades      10% C grades

This year, managers with scores less than 35 received C's and those with scores above 425 received A's.

The mean has to be middle of two corresponding cutoff value

              \mu = \dfrac{35+425}{2}

                      μ = 230

Cutoff Off C grade corresponds with the area of 0.10 is table A.

corresponding z- score according to Table A

           Z = -1.28

now, standard deviation

    z = \dfrac{x-\mu}{\sigma}

    \sigma= \dfrac{x-\mu}{z}

    \sigma= \dfrac{35-230}{-1.28}

       σ = 152.3

Correct answer is option A

4 0
3 years ago
Nine less than a number is no more than 8 and is no less than 3.
snow_lady [41]
3 is less than or equal to x-9 is less than or equal to.

3<= x-9<=8


<= these mean less than or equal to.
hope I helped you!
3 0
3 years ago
BRAINLIEST QUESTION
Debora [2.8K]

Answer:

the answer is triangles ABC and DEC are similar

Step-by-step explanation:

angle C is a common angle for both triangles

angle D is equal to angle A ( corresponding angles)since they are parallel

angle B is also equal to angle B for the same reason as angle D and A

since the three angles of the two angles are equal they are similar

6 0
2 years ago
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