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3 years ago

What is the simplified form of the expression-4xy/3x Show your work

Mathematics

1 answer:

kogti [31]3 years ago

3 0

Answer:

-4y/3

Step-by-step explanation:

If we have -4xy/3x, we just cancel the x since it is in the numerator and denominator. That leaves us with just -4y/3

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Which triangle is obtuse?

Harrizon [31]

the one wayyy on the top

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3 years ago

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Catherine owns $22.50 on her lunch account balance. She pays $15 toward her balance. What is the status of her account balance n

Alex777 [14]

Answer:

22.50

- 15.00

_______

7.50

Step-by-step explanation:

She still owes $7.50

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3 years ago

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The position of an object moving along an x axis is given by x = 3.24 t - 4.20 t2 + 1.07 t3, where x is in meters and t in secon

Pavel [41]

Answer and explanation:

Given : The position of an object moving along an x axis is given by $x=3.24t-4.20t^2+1.07t^3$ where x is in meters and t in seconds.

To find : The position of the object at the following values of t :

a) At t= 1 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(1)=3.24(1)-4.20(1)^2+1.07(1)^3$

$x(1)=3.24-4.20+1.07$

$x(1)=0.11$

b) At t= 2 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(2)=3.24(2)-4.20(2)^2+1.07(2)^3$

$x(2)=6.48-16.8+8.56$

$x(2)=-1.76$

c) At t= 3 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(3)=3.24(3)-4.20(3)^2+1.07(3)^3$

$x(3)=9.72-37.8+28.89$

$x(3)=0.81$

d) At t= 4 s

$x(t)=3.24t-4.20t^2+1.07t^3$

$x(4)=3.24(4)-4.20(4)^2+1.07(4)^3$

$x(4)=12.96-67.2+68.48$

$x(4)=14.24$

(e) What is the object's displacement between t = 0 and t = 4 s?

At t=0, x(0)=0

At t=4, x(4)=14.24

The displacement is given by,

$\triangle x=x(4)-x(0)$

$\triangle x=14.24-0$

$\triangle x=14.24$

(f) What is its average velocity from t = 2 s to t = 4 s?

At t=2, x(2)=-1.76

At t=4, x(4)=14.24

The average velocity is given by,

$\triangle x=x(4)-x(2)$

$\triangle x=14.24-(-1.76)$

$\triangle x=14.24+1.76$

$\triangle x=16$

4 0

3 years ago

The Royal Fruit Company produces two types of fruit drinks. The first type is 55% pure fruit juice, and the second type is 80% p

seropon [69]

We need 56 pints of the 55 % pure fruit juice and 84 pints of the 80 % pure fruit juice to prepare 140 pints of 70 % pure fruit juice.

<h3>How to use weighted averages to find the correct juice concentration</h3>

In this problem we have to use two kinds of juice with different concentrations. To get a certain concentration, we must adjust quantities of each kind and weighted averages offers a method that is easy to apply:

70 · 140 = 55 · x + 80 · (140 - x)

70 · 140 = 80 · 140 - 25 · x

25 · x = 10 · 140

x = 56

We need 56 pints of the 55 % pure fruit juice and 84 pints of the 80 % pure fruit juice to prepare 140 pints of 70 % pure fruit juice.

To learn more on weighted averages: brainly.com/question/28042295

#SPJ1

7 0

2 years ago

Emily has some $5 bills and $10 bills she has 15 bills she has $120 how many $5 bills does she have

Alexxx [7]

Step-by-step explanation:

Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so:

F+T = 15

T = 15-F

She has $120 total:

$120 = ($5)*F + ($10)*T

$120 = $5*F + ($10)*(15-F) [Substitute 15-F in place of T]

120 = 5F + 150 - 10F

-30 = -5F

6 = F

Check:

T= 15-F = 15=6 = 9

$120 = ($5)*6 + ($10)*9

$120 = $30 + $90

$120 = $120

4 0

3 years ago