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3 years ago

You buy butter for $3.31 a pound.

Mathematics

2 answers:

Sav [38]3 years ago

8 0

Answer:

$0.23

Step-by-step explanation:

Theres 16 ounces in a pound. 16-1.7=14.3

divide $3.31 by 14.3

0.23

dusya [7]3 years ago

4 0

Answer: $0.36

Step-by-step explanation:

Given : You buy butter for $3.31 a pound.

i.e. cost of 1 pound of butter = $3.31

Also, 1 pound = 16 oz

Using UNITARY METHOD ,

1 oz = $\dfrac{1}{16}\text{ pound}=0.0625\ oz$

i.e. cost of 1 oz of butter = 0.0625 x cost of 1 pound of butter

0.0625 x $3.31 =$ 0.206875 ≈ $0.21

One portion of the onion compote requires 1.7 oz of butter.

The cost of 1.7 oz of butter = 1.7 x cost of 1 oz of butter

1.7 x $ 0.21= $0.357≈ $0.36 [Rounded to the nearest cent]

Hence, the butter for one portion costs $0.36 .

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What are the discontinuity and zero of the function f(x) = quantity x squared plus 6 x plus 8 end quantity over quantity x plus

Tcecarenko [31]

Answer:

Discontinuity at (-4,-2), zero at (-2,0).

Step-by-step explanation:

We are given that a function

$f(x)=\frac{x^2+6x+8}{x+4}$

We have to find the discontinuity and zero of the given function.

Discontinuity: It is that point where the function is not defined.

It makes the function infinite.

$f(x)=\frac{x^2+4x+2x+8}{x+4}$

$f(x)=\frac{(x+4)(x+2)}{x+4}$

When x=-4 then

$f(-4)=\frac{0}{0}$ It is indeterminate form

Function is not defined

After cancel out x+4 in numerator and denominator then we get

$f(x)=x+2$

Substitute x=-4

$f(-4)=-4+2=-2$

Therefore, the point of discontinuity is (-4,-2).

Zero: The zero of the function is that number when substitute it in the given function then the function becomes zero.

When substitute x=-2

Then , $f(0)=-2+2=0$

The function is zero at (-2,0).

Hence, option C is true.

6 0

3 years ago

Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it’s width,

Darina [25.2K]

Answer:

$1,500\ ft^2$

Step-by-step explanation:

Let

L ----> the length of the rectangular garden in feet

w ---> the width of the rectangular garden in feet

step 1

Find the width

we know that

The perimeter of the rectangular garden is

$P=2(L+W)$

$P=170\ ft$

$170=2(L+W)$

Simplify

$85=(L+W)$ ----> equation A

$L=2W+10$ ----> equation B

substitute equation B in equation A and solve for W

$85=(2W+10+W)$

$85-10=3W$

$3W=75$

$W=25\ ft$

Find the value of L

$L=2(25)+10=60\ ft$

step 2

Find the area

we know that

The area of the rectangular garden is

$A=(LW)$

substitute the values

$A=(60)(25)=1,500\ ft^2$

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Answer:

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