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Leokris [45]
3 years ago
10

Sam receives pay rises of 4% o his hourly rate and 5 % on his base rate. How much would he earn for completing a 42 hour week ov

er 5 days
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer and explanation:

If Sam's base rate is $9 per hour and his hourly rate is $4 per hour initially. If he receives pay rises of 4% and 5% on hourly and base rate respectively, his new hourly rate and base rate would be:

105/100×9= $9.45

104/100×4= $4.16

Assuming normal working hours for a week(mon-fri) =.40 hours

Then Sam worked an extra 2 hours

His base pay= 40×$9.45= $378

Extra Hourly pay = 2×$4.16= $8.32

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The sum of the masses of two heavyweight boxers is 190kg. ⅘ the heavier boxer is 10kg less than the mass of lighter boxer. Find
ratelena [41]

Answer:

<em>Their masses are 100 kg and 90 kg</em>

Step-by-step explanation:

<u>Equations</u>

We'll solve the problem by setting only one variable. Let's call:

x = weight of the heavier boxer

Since the sum of the masses of both boxers is 190 Kg:

190 - x = mass of the lighter boxer.

It's given that \frac{4}{5} of the mass of the heavier boxer is 10 kg less than the mass of the other, thus:

\displaystyle \frac{4}{5}x=190-x-10

Operating:

\displaystyle \frac{4}{5}x=180-x

Multiplying by 5:

\displaystyle 4x=5(180-x)

\displaystyle 4x=5*180-5x

Simplifying:

\displaystyle 9x=900

x=\frac{900}{9}=100

The heavier boxer's mass is 100 kg. The lighter boxer has a mass of 190-100 = 90 kg.

Their masses are 100 kg and 90 kg

5 0
3 years ago
Combine like terms 4a2-3b2+ 4b + 10a2
jolli1 [7]

Answer:

14a² - 3b² + 4b

Step-by-step explanation:

Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.

4a2-3b2+ 4b + 10a2

4a² and 10a² is similar. 4a² + 10a² = 14a²

Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.

Hope this helps!!

-Ketifa

4 0
3 years ago
Please help me with this geometry question!!!!!!!!!!!!!!!!!
avanturin [10]
The answer is 225.19 mm since you convert the 11.2 cm to mm which is 112mm and then use the equation pi x r^2 x h
6 0
3 years ago
Read 2 more answers
Can someone help me solve 5(t+2) please
insens350 [35]
This is a simple multiplication, written in a strange form.
 5(t+2) means 5 x t + 5 x 2 which simplifies to:
5t + 10
If it's equal to a number, 0 for example, then with a little rearranging we can find what t is.
5t + 10 = 0,
5t = -10
t = -2
If it's not equal to something, the answer is just 5t + 10.
6 0
4 years ago
Water is leaking out of an inverted conical tank at a rate of 12,500 cm3/min at the same time that water is being pumped into th
Scorpion4ik [409]

Answer:

12500cm x3= 37500

6x3=18

37500+18=37518

7 0
3 years ago
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