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Shtirlitz [24]
4 years ago
14

A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much doe

s the factory worker make in U.S. in dollars per year?
Mathematics
1 answer:
skelet666 [1.2K]4 years ago
7 0
The answer is 960 U.S dollars a year. 
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Please help with these 2 problems
HACTEHA [7]

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = \frac{16}{9}

4ˣ⁻¹ = 49 / 4

<h3>How to simplify an expression?</h3>

The expressions can be simplified as follows;

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} }

Hence,

(\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} }

Therefore,

(\frac{4}{3} )^{2(\frac{2}{3} )}.(\frac{4}{3} ) ^{\frac{5}{3} } = (\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} }

Finally,

(\frac{4}{3} )^{\frac{4}{3} } .(\frac{4}{3} )^{\frac{5}{3} } = (\frac{4}{3} )^{3}

(\frac{4}{3} )^{3} = \frac{16}{9}

2ˣ = 7

4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ²  = 2²ˣ / 2² = (2ˣ)² / 2²

Therefore,

(2ˣ)² / 2² = 7² / 2² = 49 / 4

Hence,

4ˣ⁻¹ = 49 / 4

Finally, the  (\frac{16}{9})^{\frac{2}{3} }. (\frac{4}{3} ) ^{\frac{5}{3} } is equal to \frac{16}{9}  and for the second part  4ˣ⁻¹ = 49 / 4

learn more on simplification here: brainly.com/question/17513857

#SPJ1

4 0
2 years ago
A line's y-intercept is 8, and its slope is 6. What is its equation in slope-intercept form?
dimulka [17.4K]

Answer:

y = 6x + 8

Step-by-step explanation:

5 0
3 years ago
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60 percent of their plants ar
GarryVolchara [31]
40% are vegetables which is 0.40 in decimal form so 0.40×50= 20 vegetable plants
8 0
3 years ago
What is the remainder when (x^3 + 1) is divided by (x^2 – x + 1)?<br> O x +1<br> Ο x<br> O 2<br> Ο 0
docker41 [41]

Answer:

The answer is 0 .... solution is X+1 the REMAINDER IS 0

Step-by-step explanation:

5 0
3 years ago
The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions o
Step2247 [10]

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = \dfrac{1}{3}x+60

We know that,

Perimeter = 2( length + width)

920 = 2(x+\dfrac{1}{3}x+60)

920 = 2(\dfrac{4}{3}x+60)

920 =\dfrac{8}{3}x+120

Subtract both sides by 120.

920-120 =\dfrac{8}{3}x+120-120

800 =\dfrac{8}{3}x

Multiply both sides by 3.

2400 =8x

Divide both sides by 8.

300 =x

Now,

Length = 300\text{ feet}

Width=\dfrac{1}{3}(300)+60

Width=100+60

Width=160\text{ feet}

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.

7 0
3 years ago
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