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slavikrds [6]
2 years ago
10

Josefina works between 10 and 30 hours per week at a pizzeria. She earns $6.50 an hour, but can earn tips when she delivers pizz

a.
a) Write a system of inequalitites to represent the dollars 'd' she could earn for 'h' hours in a week.

b) If Josefina recieved $17.50 in tips and earned a total of $180 for the week, how many hours did she work?
Mathematics
1 answer:
mafiozo [28]2 years ago
7 0


a, 6.50h=d

b. 25 hours

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the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use
Vadim26 [7]
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
5 0
2 years ago
What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -
fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0
2 years ago
Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I
Tresset [83]

Answer:

Mean=23

Median =23.5

Range=22

Interquartile range = 14

Step-by-step explanation:

Given set of data

11,13,17,20,22,25,27,31,31,33

Mean =\frac{11+13+17+20+22+25+27+31+31+33}{10}

          =\frac{230}{10}

          =23

The(\frac{n}{2}) th term= the 5th term

                        =22

The  (\frac{n}{2}+1)^{th} term = The 6^{th term

                               = 25

The median = \frac{22+25}{2}

                   =23.5

Range = Highest term - lowest term

           =33- 11

            =22

Here lower half {11,13,17,20,22}

The middle number of lower half is first quartile.

Q₁ = 17

And lower half is{25,27,31,31,33}

The middle number of upper half is third quartile.

Q₃=31

Interquartile Range =Q₃-Q₁

                                =31-17

                                 =14

8 0
2 years ago
Jenny runs a cake making business, she receives an order of 6 carrot cakes. How much mixed spice will she need for 6 cakes. The
sp2606 [1]
I'm pretty sure the answer is 9 mix spice, hope I helped!
4 0
2 years ago
Read 2 more answers
5.63x10^-5 in standard form
NemiM [27]

Answer:

the correct anser is 0.0000563

Step-by-step explanation:

you move the decimal point to the left 5 spaces because it is negative

5 0
2 years ago
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