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2 years ago

10

Option A: 40 trash bags for $6.29 Option B: 24 trash bags for $3.89

1 answer:

mr Goodwill [35]2 years ago

8 0

Option B is a better option.

Step by step:

I divided 40/6.29 and got about 6.3.

I divided 24/3.89 and got about 6.1.

Which is less, 6.3 or 6.1?
If you said 6.1 you are correct, so option B has a less cost, making it a better option.

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Which is the solution for the equation y=5x+3

garri49 [273]

$x = \frac{y - 3}{5}$

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2 years ago

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

2 years ago

Can someone please help me with this?

mr_godi [17]

G = 2 inches

The first shape is 6 and 12. The two shapes are similar to each other, so the other shape must be 1 and 2. 6 divided by 6 is 1 so 12 divided by 6 is 2.

3 0

3 years ago

Read 2 more answers

The product of 2 more than 3 times a number and 6 less than 4 times the number (z)

Rom4ik [11]

Answer:

$12z^{2} -10z -12$

Step-by-step explanation:

Let the number be z

2 more than 3 times z ==> 3z + 2

6 less than 4 times z ==> 4z - 6

Product of the above two is
$(3z + 2) (4z - 6) \\= (3z)(4z) + (3z)(-6) + (4z)(2) + (2)(-6)\\= 12z^{2} -18z + 8z - 12\\= 12z^{2} -10z -12$

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1 year ago

Find the possibility of rolling even numbers three times, using a six-side die number from 1 to 6

seraphim [82]

Answer:

$\frac{1}{8}$

Step-by-step explanation:

Number of sides of die = 6

Number of sides with even numbers = 3

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P(rolling even number 3 times) = $\frac{1}{2}$ x $\frac{1}{2}$ x $\frac{1}{2}$ = $\frac{1}{8}$

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2 years ago