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Zinaida [17]
3 years ago
8

He has a record contract that Pays him a base rate of $200 a month and then additional $12 for each album that he sells. Last mo

nth he earned a total of $644. How many albums did he sell last month
Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

He sold a total of 37 albums last month.

Step-by-step explanation:

Given,

Total earned money = $644

Base payment = $200

Additional payment for each album = $12

We have to find the number of albums sold by him.

Solution,

Let the number of albums be 'a'.

Total earned money is the sum of base payment and additional payment for each album multiplied with number of albums sold.

So framing in equation form, we get;

644=200+12a

Subtracting both side by '200' using subtraction property, we get;

200+12a-200=644-200\\\\12a=444

Now dividing both side by '12' using division property, we get;

\frac{12a}{12}=\frac{444}{12}\\\\a=37

Hence he sold a total of 37 albums last month.

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Which solid figure is made of only triangular faces?
kakasveta [241]

Answer:

Triangular Pyramid

Step-by-step explanation:

3 0
3 years ago
The perimeter of a triangular piece of land is 120m it’s area is 600m sq. If one of its sides is 30m,find the other two sides.
kap26 [50]

Answer:

The other two sides are 40m and 50m

Step-by-step explanation:

Let the sides be a , b and c

adding all together will give the perimeter

a + b + c = 120, now since one of the sides, let’s say a is 30

this means b + c = 120-a = 120-30 = 90

b + c = 90 •••••••••• (i)

We can use Heron’s formula to find the area of the triangle

Firstly, s = (a + b + c)/2 = 120/2 = 60

Using the formula;

A = √s(s-a)(s-b)(s-c)

We already have a as 30 and a as 60;

so we have;

600 = √60(60-30)(60-b)(60-c)

600 = √(60)(30)(60-b)(60-c)

Squaring both sides we have

360000 = 1800(60-b)(60-c)

divide both sides by 1800

200 = (60-b)(60-c) ••••(ii)

from the first equation we know that b + c = 90

so b = 90-c , we substitute this into ii

200 = (60-(90-c))(60-c)

200 = (60-90+c)(60-c)

200 = (c-30)(60-c)

200 = 60c-c^2-1800+30c

200 = -c^2 -1800 + 90c

we can rearrange this as;

c^2 -90c + 2000 = 0

c^2-50c-40c+ 2000 = 0

c(c-50)-40(c-50) = 0

(c-40)(c-50) = 0

Thus c = 40 or 50

Since sum of both b and c is 90

This means b also is also 40 or 50

from b = 90-40 or b = 90-50

So we can confidently say the other two sides are 40 m and 50 m

4 0
3 years ago
What number is the opposite of positive 4?
Naya [18.7K]

-4 ...............................

7 0
3 years ago
Let f(x)=x-3 and g(x)= x^2-x. Find and simplify the expression. (f+g)(2)
ValentinkaMS [17]

Answer:

<h2>(f+g)(2) = 1</h2>

Step-by-step explanation:

Given :

f(x) = x − 3

g(x) = x² − x

Note : (f+g)(x) = f(x) + g(x)

then

(f+g)(2) = f(2) + g(2)

           = (2 - 3) + (2² - 2)

           = -1  +  2

           = 1

another method:

(f+g)(x) = f(x) + g(x) =  x − 3 + x² − x = x² - 3

then

(f+g)(2) = 2² - 3 = 4 - 3 = 1

8 0
3 years ago
If 16 of 200 apples were bad, what percent is that?
blondinia [14]

Answer:

:)

Step-by-step explanation:

It's 8 percent! Mark brainliest pls

7 0
3 years ago
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