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Vladimir [108]
2 years ago
8

Rewrite the expression 3a^2b^3c^5/8x^4y^3z so that it has no denominator.

Mathematics
1 answer:
notka56 [123]2 years ago
6 0

<span>3a^2b^3c^5 / 8x^4y^3z
=  3/8 =.375a^2 b^3 c^5 x^-4 y^-3 z^-1

</span>answer = .375a^2 b^3 c^5 x^-4 y^-3 z^-1
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Malia is placing a barrier around the edge of a circular path with a diameter of 13 meters. The barriers are in lengths of 2.5 m
gizmo_the_mogwai [7]

we need some barriers such that total of length of all barriers should equal to the circumference of the circle.

so lets assume we need x barriers

then total length of all barriers = 2.5x meter

now radius of circular path = diameter / 2= 13/2 = 6.5 meter

circumference of path = 2× pi × r = 2 × 3.14 × 6.5

=40.82 meter

so now as per statement

2.5x = 40.82

x = 40.82/2.5 = 16.328 ≈ 17

so approximately 17 barriers are required

5 0
2 years ago
Read 2 more answers
A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rat
yKpoI14uk [10]
Your question asks for an expression, so you would expect an answer in the form of an equation containing variables. This is because you have only 2 independent equations with 3 unknowns. That makes the system unsolvable. 

Suppose v₁ is the mountaineer's velocity during the 1,000-foot trail. Then, v₂ is his speed for the 5,000-foot trail. The equation relating these two variables is:

v₂ = 2v₁ - 10 ---> equation 1

Then, you find the equation for the total number of hours he climbed. That would be the distance divided by their respective speed.

t = 1000/v₁ + 5000/v₂ ----> equation 2

Substituting equation 1 to equation 2,

t = 1000/v₁ + 5000/(2v₁ - 10)
t = 1000/v₁ + 5000/2(v₁-5)
t = 1,000/v₁ + 2,500/(v₁-5) 
3 0
2 years ago
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper how high did the previous athlete jump
Fantom [35]

Answer:

5 ft

Step-by-step explanation:

Let the height of the previous jump be represented by j.  Then 1.1j = 5.5 ft.

Dividing both sides by 1.1, we get j = 5 ft.  This was the height of the previous jump.

3 0
2 years ago
Read 2 more answers
3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of
Montano1993 [528]

Answer:

3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of

2 hours, 4 times Adrian’s favorite team was ahead by 3 points, and 4 times Adrian’s favorite team was behind

by 4 points. All other times, the two teams were tied.

(a) What is the average score of Adrian’s favorite team relative to its opponent using the observations

Adrian made during the game? Show your work neatly.

(b) Explain what this value means about Adrian’s favorite team’s performance

Step-by-step explanation:

7 0
1 year ago
I talk to an average of 8 customers per hour during an 8 hour shift and need to increase the amount of customers i help by 20%,
lbvjy [14]

Answer:

The number of customer needed to achieve is 34

Step-by-step explanation:

Given as :

The number of customer per hour = 8

The time taken = 8 hours

The rate of increase = 20 %

Let The increase in number of customer after 20 % increment = x

So ,  The number of customer after n hours = initial number × (1+\dfrac{\textrm rate}{100})^{n}

or, The number of customer after 8 hours = 8 ×  (1+\dfrac{\textrm 20}{100})^{8}

or, The number of customer after 8 hours = 8 × 4.2998

∴The number of customer after 8 hours = 34.39 ≈ 34

Hence The number of customer needed to achieve is 34  answer

8 0
2 years ago
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