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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:

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Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. explain
ehidna [41]

Given sides of length 300 mm or 190 mm, you can form 4 different triangles:

  1. equilateral with sides 190 mm
  2. equilateral with sides 300 mm
  3. isosceles with two sides 190 mm and one side 300 mm
  4. isosceles with two sides 300 mm and one side 190 mm

The triangle inequality requires the sum of the lengths of any two sides be not less than the length of the third side. Since 2×190 > 300, you can mix and match these side lengths any way you want. With three sides and 2 choices for each, there are only a limited number of possibilities.

In the above, we have not listed ones that are simply rotations or reflections of a congruent triangle. (A 190-190-300 triangle looks the same as a 190-300-190 triangle, for example.)

6 0
3 years ago
On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
Gala2k [10]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

8 0
3 years ago
Read 2 more answers
ASAP!
ANTONII [103]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The value of x is 10. Thus, the correct option is B.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Since the two prisms are similar, their sides will be in a common ratio. The value of the common ratio will be,

Common ratio = 4/2 = 5/2.5 = 3/1.5 = 2

Since the common ratio of every side is equal to 2, the value of x can be written as,

Common Ratio = 20/x = 2

20/x = 2

x = 10

Hence, the value of x is 10. Thus, the correct option is B.

Learn more about Similar Figures:

brainly.com/question/11315705

#SPJ1

3 0
1 year ago
ILL GIVE BRAINELST
Angelina_Jolie [31]

Answer: number 3 4 5

Step-by-step explanation:hope this helps!

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2 years ago
A deck builder uses 11 bags of concrete mix for every 5 deck footings. If the builder needs to build 12 deck footings, how many
juin [17]
I think it is 220 bags but i am stuipd
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