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madreJ [45]
3 years ago
10

A worker earns 9 dollars per hour for a regular workday and $13.50 per hour for additional hours. if the worker was paid $114.75

for an 11-hour workday, what is the length of a regular workday?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Let us assume that the number of hours of regular work day to be "X". Since the total number of hours worked is 11, the additional hours that the worker put in would be "11-X"

Now, we form the equation to solve for X.

The wage for a regular hours is $9 for X hours worked which would make the pay = 9X

The wage for additional "11-X" hours is $13.50 which would make the pay = (11-X)*13.50

The total the worker was paid for 11 hours is 114.75, so the equation would be

9X +(11-X)*13.50 = 114.75

9X +148.5-13.50X = 11.75

4.5X = 33.75

X = 7.5

So, the length of a regular workday is 7.5 hours

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7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C
4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea x la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}

x = 84

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

y = \frac{3}{7}\cdot x

y = 36

Murieron 36 vacas.

Cantidad de vacas vendidas

z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x

z = 24

24 vacas fueron vendidas.

8 0
3 years ago
If the lengths of the right triangle are 7 and 8 what is the approximate hypotenuse
ANEK [815]
<h3>Answer:</h3>

c=√a²+b²

=√7²+8²

<h3> C ≈10.63015 or 10.6</h3>

Hope this helps! <3

4 0
3 years ago
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