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masya89 [10]
3 years ago
6

Which estimation could be used to make sure the answer is reasonable? Claudia mixed 16.7 pounds of sand with 12.6 pounds of soil

. She used 22.1 pounds of this mixture to fill a garden pot. How much of the mixture was left over? A. Answer: The amount left over was 7.2 pounds. Estimation: 16.7 + 12.6 is about 30. 30 pounds – 22 pounds = 8 pounds The amount left over was a little less than 8 pounds. B. Answer: The amount left over was 51.4 pounds. Estimation: 16.7 + 12.6 is about 30. 30 pounds + 22 pounds = 52 pounds The amount left over was about 52 pounds. C. Answer: The amount left over was 5.9 pounds. Estimation: 16 + 12 is about 28. 28 pounds – 22 pounds = 6 pounds The amount left over was a little less than 6 pounds.
I NEED HELP FAST 1ST PERSON GETS BRAINLIEST AND TEN PTS
Mathematics
1 answer:
ra1l [238]3 years ago
7 0
The answer for your question is a). Because if you add 12.6 pounds by 16.7 pounds you will get 29.3 as your answer.the estimated answer is 30 and,22.1 estimated is 22.Finally,you just subtract 30 by 22 and you get your answer as 8.
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1.36 as a fraction help
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Answer: 34/25

Step-by-step explanation:

(136÷4)(100÷4) = 34/25 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction,

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An Athlete wants to increase muscle mass through weight training. The athlete has P pounds of muscle before weight training and
Vladimir [108]

Answer:

B. 0.88p

Step-by-step explanation:

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3 years ago
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?
Art [367]

Answer:

43.5625 kilometers

Step-by-step explanation:

hi!

To solve this problem, you have to take note of the important information which is:

- 10.25 km/hour

- 4.25 hours

- how far did she travel?

To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers

10.25*4.25 = 43.5625 kilometers

I hope this helped :)

6 0
2 years ago
The manager of a store marks up all items by 15%. If x is the original price, what is the new price with the mark up?
Crank

Answer:

x + 0.15x = OP

Step-by-step explanation:

OP= Original Price

3 0
3 years ago
A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running
Alborosie

Answer:

x_1 =2 , x_2=7

Step-by-step explanation:

Consider the revenue function given by R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2. We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).

\frac{dR}{dx_1} = -10x_1-2x_2+34 =0

\frac{dR}{dx_2} = -16x_2-2x_1+116 =0

From the first equation, we get, x_2 = \frac{-10x_1+34}{2}.If we replace that in the second equation, we get

-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156

From where we get that x_1 = \frac{156}{78}=2. If we replace that in the first equation, we get

x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7

So, the critical point is (x_1,x_2) = (2,7). We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives  and check if the criteria is fulfilled in order for it to be a maximum. We get that

\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}

\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16

We have the following matrix,  

\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right].

Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is (-10)\cdot (-16) - (-2)(-2) = 156>0 and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

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