Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.

Answer:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]

And, the distance from P to (0, -2) will be:

[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]

So sum of the two distances must be 6. Therefore:

[tex]d_1+d_2=6[/tex]

Now, by substitution:

[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]

Simplify. We can subtract the second term from the left:

[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]

Square both sides:

[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]

We can cancel the x² terms and continue squaring:

[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]

We can divide both sides by -4:

[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]

Adding 9 to both sides yields:

[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]

And, we will square both sides one final time.

[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]

Distribute:

[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]

The 36y will cancel. So:

[tex]4y^2+81=9x^2+9y^2+36[/tex]

Subtracting 4y² and 36 from both sides yields:

[tex]9x^2+5y^2=45[/tex]

And dividing both sides by 45 produces:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

Answer:

the slope is one since the line rises once and runs once

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Loading . . .

Answer:

278, pls brainliest

Step-by-step explanation:

Answer:

278 seats per section

Step-by-step explanation:

Division

The division allows us to divide or 'share' numbers to find the answer to a problem.

For example, to evenly share 10 sweets between 5 kids, we use division to find 10/5 = 2 sweets per kid.

It's given a high school football stadium has 3,892 seats distributed in 14 sections and each section has the same number of seats.

To find the number of seats in each section we use division:

3,892 seats / 14 sections = 278 seats per section

Answer:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify

Answer:

1.) -2

2.) -2

3.) -3

Step-by-step explanation:

Since we can't make a graph, we can make a table

(-5,13) and (1,1)

x       y

-5      13

1        1

From 13 to 1, you subtract 12 ( y-section)

From -5 to 1, you add 6 (x-section)

Now we can do y/x

y/x = 12/6 = -2

The slope for this first one is (-2).

(-5,14) and (12,-21)

x           y

-5          14

12         -21

From 14 to -21, you subtract 34

From -5 to 12, you add 17

Now we can do y/x

y/x = -34/17 = -2

The slope for this second one is (-2)

(1,1 )and (12,-21)​

x        y

1        12

12     -21

From 12 to 21, you subtract 33

From 1 to 12, you add 11

Now we can do y/x

y/x = -33/11 = -3

The slope for this third one is (-3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

Surface area of cuboid = 352 cm

Step-by-step explanation:

Given that:

Height of cuboid = 8 cm

Length of cuboid = 12 cm

Width of cuboid = 4 cm

Surface area = 2lw + 2lh + 2hw

Putting all the values;

Surface area = 2*12*4 + 2*12*8 + 2*8*4

Surface area = 96 + 192 + 64

Surface area = 352 cm

Hence,

Surface area of cuboid = 352 cm

Answer:

BOTH SIDES ARE 12

Step-by-step explanation:

Answer:

x and y is equal to 33° as x and y are the equal angles of the isosceles triangle given in the figure.

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

Answer:

-4  

Step-by-step explanation:

8-10 = -2

-2^2 = -4

948.64

Subtract then multiply by itself

No offense but can't you use a calculator?

Answer:

3%

Step-by-step explanation:

46.35 - 45 = 1.35 (change)

change/original price X 100

1.35/45 = 0.03

0.03 X 100 = 3

sales tax 3%

Answer:

the middle sign

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

Simplifying

x + -18 = 45

Reorder the terms:

-18 + x = 45

Solving

-18 + x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + x = 45 + 18

Combine like terms: -18 + 18 = 0

0 + x = 45 + 18

x = 45 + 18

Combine like terms: 45 + 18 = 63

x = 63

Simplifying

x = 63

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

Answer:

-5x-3

Step-by-step explanation:

-5x+6-9=-5x-3

The inequality that describes all the solutions to the given inequality expression is x > 4

Given the inequality expression -5x + 6 < 2(-3 − x)

Expand the right-hand side of the ineqality

-5x + 6 < -6 - 2x

Collect the like terms

-5x + 2x < -6 - 6

-3x < -12

Divide both sides by -3

-3x/-3 > -12/-3

x > 4

Hence the inequality that describes all the solutions to the given inequality expression is x > 4

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Answer:

Step-by-step explanation:

4.3 °F > 4 1/4 °F

Answer:

1.83

Step-by-step explanation:

1.78 + 5 cm

because it says she is taller so you add both

Height of Amy who is 5 cm taller than Jack is 1.83 meters.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.

Therefore, The sum of the height of Jack and 5 cm more is the height of

Amy.

Therefore,

178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)

So, 183 cm is equal to 1,83 meters.

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Answer:

(q + r) (m - p)

Explanation:

= -p(q + r) + mq + mr

= -p(q + r) + m(q + r)

= (q + r) (-p + m)

- PNW

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

Answer:

ANSWER:123

Step-by-step  its  very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle

The measure of the seventh angle in the heptagon is 125 degrees.

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

We are given the measures of six angles in the heptagon, which are:

95, 107, 132, 138, 145, and 158 degrees

Sum of angles in Heptagon is 900 degrees.

To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:

Measure of the seventh angle = Sum of angles - Sum of known angles

Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees

Measure of the seventh angle = 900 degrees - 775 degrees

Measure of the seventh angle = 125 degrees

Therefore, the measure of the seventh angle in the heptagon is 125 degrees.

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Answer:

-2 -4

Step-by-step explanation:

saying to use 20 letters lol hope that helps

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Answer:

three times the two foot wave wuold be the six foot wave

Step-by-step explanation:

because its right

Answer:

8<8 and 2>8 are both false

Answer:

B

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Answer:

31 Degrees

Step-by-step explanation:

Since this is a right angle, it will equal 90 degrees.

Take 90 and subtract 59 to get g.

g = 31 degrees

Answer:

down below

Step-by-step explanation:

x = y/7 + 61/7

y= 7x - 61

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

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