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miv72 [106K]
2 years ago
6

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha

red between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.
Mathematics
1 answer:
jarptica [38.1K]2 years ago
6 0

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

You might be interested in
The plane 15x − 12y + 20z = 60 is represented by which graph below? Notice the z-axis.
nikdorinn [45]

Answer:

b

Step-by-step explanation:

I did it

8 0
2 years ago
Which explanation best describes how to solve this problem?
Minchanka [31]
I believe it is a but i will double check and post ok

4 0
3 years ago
This is a practice test but I don’t understand stand this one pls help fast
Kisachek [45]

Step-by-step explanation:

To transform a function vertically, add 3 to the constant.

5 + 3 = 8

So the function is

3 {x}^{2}  + 8

Graph the function in desmos to show the translation vertically if you want proof

3 0
1 year ago
I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
2 years ago
Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that c
lutik1710 [3]

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

3.25+(5.99\times 0.04x)\leq 10

0.2396x\leq 10-3.25

0.2396x\leq 6.75

Divide both sides by 0.2396.

x\leq \dfrac{6.75}{0.2396}

x\leq 28.172

The maximum integer value of x is 28.

Therefore, the required inequity is 3.25+(5.99\times 0.04x)\leq 10 and 28 number of slices Paul can afford to buy.

6 0
2 years ago
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