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Stells [14]
3 years ago
5

for this job , Hayden earns an hourly rate of $30. For each hour he works over 40 hours, he earns 1.5 times his regular hourly r

ate. In a two-week period, Hayden earns $2175 by working 40 regular hours, plus overtime. How many overtime hours did Hayden work?
Mathematics
1 answer:
Dominik [7]3 years ago
6 0
Hayden's hourly rate is $30
Extra hour rate is 1.5×30=$45
given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows;
let the number of overtime be x
hence total amount earned will be:
(40×30)+(45×x)=2175
1200+45x=2175
45x=2175-1200
45x=975
solving for x we get
x=975/45
x=65/3=21 2/3 hours
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A function g(x) is defined as shown.
FromTheMoon [43]

Answer:

g(4) = 12

Step-by-step explanation:

We need to find the value the function g(x) when x = 4, that is;

g(4)

In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)

In the second definition, g(x) is given as;

Q(x) = 0.5x + 10

plug in x = 4 and simplify;

Q(4) = 0.5(4) + 10

Q(4) = 12

6 0
3 years ago
What Is the area of the trapezoid​
umka2103 [35]

18m

Step-by-step explanation:

5x3=15 +3 =18

5 0
3 years ago
The sum of two numbers is 10. twice the first number is 4 more than twice the second. what are the two numbers?
Ludmilka [50]
X+ y = 10
2x = 2y+4

2x/2 = 2/2y+4/2
x = y + 2

x+y = 10
y+2+y=10
2y + 2 = 10
2y +2-2 =10-2
2y = 8
2y/2 =8/2
y = 4

x + y =10
x + 4 =10
x +4-4 =10-4
x = 6

Check
2x = 2y +4
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6 0
3 years ago
What is the sum of each pair of binary integers?
Natali5045456 [20]
Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).

Example:  < means carry, decimal equivalent for checking
1011+1111

     1     0     1     1         (8+2+1=11)
+   1     1     1     1         (8+4+2+1=15)
---<---<----<----<----
1   1     0     1     0         (16+8+2=26)

Proceeding similarly,
a. 10101111+11011011 = 110001010  (394)
b. 10010111+11111111  = 110010110  (406)
c.  01110101+10101100 = 10010001  (289)

3 0
3 years ago
Factorize: a^4+2xa³+a²x²-y^4
mart [117]

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

4 0
3 years ago
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