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3 years ago

A case of 3 items costs $4.11 at Costco. what is the price of each item?

Mathematics

2 answers:

viva [34]3 years ago

5 0

The price of each item is $1.37.

Neko [114]3 years ago

4 0

Each item costs $1.37 hope this helps!!

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What is the center and radius of x^2+6x+y^2-4y =-4?

Nat2105 [25]

Answer:

The center of this circle is at $(-3,\, 2)$ . The radius of this circle is $3$ .

Step-by-step explanation:

A circle with center $(a,\, b)$ and a radius of $r$ ( $r > 0$ ) could be expressed as:

$(x - a)^{2} + (y - b)^{2} = r^{2}$ .

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

$(x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}$ .

$x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}$ .

The equation in this question is:

$x^{2} + 6\, x + y^{2} + (-4)\, y = -4$ .

Match up the coefficients of $x$ and $y$ in the two equations.:

Coefficient of $x$ : $(-2\, a) = 6$ .
Coefficient of $y$ : $(-2\, b) = (-4)$ .

Thus, $a = (-3)$ and $b = 2$ .

The constants of the two equations should also match up:

$(-a^{2} - b^{2} + r^{2}) = (-4)$ .

Substitute in $a = (-3)$ as well as $b = 2$ and solve for $r$ :

$r^{2} = 9$ .

$r = 3$ (since $r > 0$ .)

Therefore, the center of this circle is $(-3,\, 2)$ . The radius of this circle is $3$ .

7 0

2 years ago

What is the probability of rolling a 2 or not rolling a 2 using a regular 6-sided number cube?

almond37 [142]

Answer:

33.3%

Step-by-step explanation:

7 0

2 years ago

Please help me answer this question

Oliga [24]

Answer:

Step-by-step explanation:

7 0

3 years ago

Estimate the product by rounding 2 x 6,254

Pavlova-9 [17]

5 × 6,254= 31,300 is the awnser :)

6 0

3 years ago

.?????????????????????????

weqwewe [10]

Step-by-step explanation:

To divide fractions, we have to focus on 4 steps, which are:

1: Change to improper fractions

2: Keep the same

3: Change the sign to multiplication

4: Flip the 2nd fraction in the equation

So, step one:

1/3 / 4/5

Step two:

1/3 / 4/5

Step three:

1/3 x 4/5

Step four:

1/3 x 4/5 = (4 / 15)

4/15 is in simplist for.

Therefore, your answer is 4/15.

Best of Luck to you!!

4 0

3 years ago