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3 years ago

Three groups of a number plus two

Mathematics

1 answer:

Mkey [24]3 years ago

6 0

Answer:

Step-by-step explanation:

This can be modelled with the variable x to represent the "groups"

3x + 2

Multiplifcation means groups of.

3x is 3 times x, which is 3 groups of x.

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One batch of cookies makes 18. How many

Viktor [21]

Answer:

Step-by-step explanation:

100/18=5 1/2

18*6=108

6 0

2 years ago

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The sum of two numbers is 43, and their product is 450. What is their difference?

kow [346]

Answer:

List the factors of 450

1,450

3,150

5,90

6,75

9,50

10,45

15,30

18,25

The factor with the sum of 43 is 18+25

25-18=7 so the difference is 7

hope this helps

Step-by-step explanation:

8 0

3 years ago

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Find the sum or difference: 2.8 - -5.1

Travka [436]

2.8-(-5.1)

-(-5.1)=5.1

2.8+5.1= 7.9

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3 0

3 years ago

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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

3 years ago

Which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x

galben [10]

Answer:

Step-by-step explanation:

4 0

3 years ago