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andre [41]
3 years ago
6

5 lb. 10 oz. − 3 lb. 1 oz. = lb. oz.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

Answer: 2lb. 9oz.


Step-by-step explanation: 5lb. - 3lb. is 2lb.

10oz. - 1oz. is 9oz.


Darina [25.2K]3 years ago
3 0

Answer:

2 lbs  9 oz

Step-by-step explanation:

Lets line up the ounces and pounds and subtract

  5 lb. 10 oz.

− 3 lb. 1 oz.

------------------------

2 lbs  9 oz


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there are two factors of -36 such thatone factor is 11 less than half of the other factor. choose all the pairs of these factors
aleksandrvk [35]
Let one factor be x. Second factor is 11 less than half of this factor, so second factor will be (0.5x - 11). The product of these two factors is -36.

So,

-36=x(0.5x-11) \\  \\ 
-36=0.5 x^{2} -11x \\  \\ 
-72= x^{2} -22x \\  \\ 
 x^{2} -22x+72=0 \\ \\ x^{2} -18x-4x+72=0 \\  \\ 
x(x-18)-4(x-18)=0 \\  \\ 
(x-4)(x-18)=0 \\  \\ 
x=4, x=18

If,
x = 4, the other factor will be = 0.5(4) - 11 = - 9
If,
x = 18, the other factor will be = 0.5(18) - 11 = -2

So, there are two possible set of factors.
1) 4 and -9
2) -2 and 18

From these -2 and 18 is available in the options. So this is the correct answer. 
7 0
4 years ago
Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
4 years ago
A stock investment went up 25% in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be ba
pentagon [3]
Is it -25%. I’m guessing. I’m not sure if that is correct.
3 0
3 years ago
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A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?
Natasha2012 [34]

Answer:

B) 122.5π cm3

Step-by-step explanation:

Volume of a cylinder = \pi r^{2} h

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

\pi = constant

Next, plug in the numbers into the formula;

=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi

Therefore, the volume of soup in the can is 122.5\pi cm^{3}

7 0
4 years ago
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Find the median of grouped data<br> HELP
krok68 [10]
The median of grouped data is the middle number in an organized data set, so basically you need to organize all the numbers from lowest to greatest and find the middle number, which is 6.
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2 years ago
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