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4 years ago

11

Mark wrote the highest score he made on his new video game as the product of 70*6000. Use the associative and commutative proper

ties to show how mark can calcule this product mentally

1 answer:

Alex777 [14]4 years ago

8 0

Mark can:

7*6=42
then just add back the 4 zeros

so its 42 0000

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HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help

seropon [69]

You are right. 5 is correct.

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3 years ago

What is 8% of 75?.?.?

alisha [4.7K]

Answer:

6

Step-by-step explanation:

(8:100) * 75

(8*75) : 100

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3 years ago

Help me on this problem

Wittaler [7]

Answer:

1 and 3 are both perpendicular to segment NY

Step-by-step explanation:

1. Find the slope of line NY

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3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

What is the slope of the line that passes through the given points? (6, 2) and (7, 4)

zhannawk [14.2K]

Slope for (x₁, y₁) and (x₂, y₂): (6, 2) and (7, 4)

Slope: (y₂ -y₁) / (x₂ -x₁)

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<span>Slope = 2/1 = 2

Option D</span>

7 0

3 years ago

Read 2 more answers