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3 years ago

If 6 pounds of blueberries costs $16.50, is $1 for 2.75 pounds of blueberries true?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Step-by-step explanation:

Hmm I'm not sure but (no) I think

6 pounds = $16.50

1 pound = $16.50 ÷ 6

=$2.75

$16.50 = 6 pounds

$1 = 6 ÷ $16.50 = 4/11 pounds (0.36363636......)

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What is the center and radius of the circle that has the equation (x + 7)^ 2 + (y − 4) ^2 = 49? Explain.

alisha [4.7K]

Step-by-step explanation:

Center: (−7,4)(-7,4)

Radius: 7

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3 years ago

Read 2 more answers

Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
${x_2}''-3{x_2}'+x_2=e^t$

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

$r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0$

so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

${x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t$

and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

and you can find the solution $x_1$ by simply differentiating $x_2$ .

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3 years ago

Which expression has the same value as 37.4 - 54.9?

GrogVix [38]

Answer:

Step-by-step explanation:

In the original expression = 37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

Remove parentheses

= -54.9 - 37.4

Subtract the numbers

-92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

4 14

5 4. 9 < ------- Line up the decimal points like this

- 3 7. 4 <--------- Subtract the decimals

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

1 7 . 5 <---------- This is the final answer to B.

C) 37.4 - (- 54.9) = 92.3

Change the sign to addition

=37.4 + 54.9

Add the numbers normally

54.9

+ 37. 4

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

92.3

D) 37.4 + (-54.9) = -17.5

Change the sign to subtraction

= 37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed 37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

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3 years ago

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If the class was going to get a class pet and 5 picked fish and 7 pick bird and 8 picked Rabbits have many students were in the

Sedbober [7]

Sum up the total number of votes.
So, 5+7+8=20 students

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