MATHEMATICS MIDDLE SCHOOL

Jason has a savingaccount at the bank.
Every week he takes
half of his $4.00
allowance to the bank.
How much will he save
in ten weeks?

Answers

Answer 1
Answer:

Answer:

$20

Step-by-step explanation:

In ten weeks, he will have saved $20
Answer 2
Answer:

Answer:

He would’ve saved $20

Step-by-step explanation: half of $4 is $2 so multiply $2 by 10 to get $20!

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nicole has a rectangular canvas that is 12 inches long and 10 inches wide.She paints a blue square in the center of the canvas.The sauare is 3 inches on each side. How much of the canvas is not painted blue?

Answers

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Collins Middle School has 280 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?A.
800
B.
98
C.
245
D.
315

Answers

Answer:

A- 800

Step-by-step explanation:

1- set up a proportion

2- 35 over 10

3- 280 over x

4- 280 x 100= 28000

5- 28000/35=800

Determine the slope of the graph of x^4=ln(xy) at the point (1,e)

Answers

Answer:

Answer is 3e.

Step-by-step explanation:

The slope is given by the derivative at the given point.

Differentiating:-

4x^3 = 1/xy *(x * dy/dx + y)

4x^3 = 1/y * dy/dx + 1/x

dy/dx = (4x^3 - 1/x) * y

At the point (1, e) x = 1 and y = e so substituting

slope at (1,e) = dy/dx =  (4(1)^3 - 1/1) * e

= 3e  (answer)
It is 3e. Differentiating x^4=ln(xy), we have to implicitly differentiate this.

4x^(3)= (1)/(xy) \cdot (d)/(dx)(xy)

The derivative of xy you have to use the chain rule.

(d)/(dx)(xy)=x \cdot (dy)/(dx)+y

So now it's

4x^(3)=(y+(dy)/(dx) \cdot x)/(xy)

Now we want the slope when x=1 and y=e

4(1)^(3)=(e+(dy)/(dx))/(e)

4=(e+(dy)/(dx))/(e)

4=1+(dy)/(dx) \cdot (1)/(e)

(dy)/(dx)=3e

the perimeter of a rectangle is 90 feet. If the length of the rectangle is 15 feet more than the width, what are the dimensions (length and width) of the rectangle? step by step explanation

Answers