A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm

Answer:

A

Step-by-step explanation:

Using Pythagorean theorem (a^2+b^2=c^2) you just plug them in. The hypotenuse is always the longest side so that would be 25. Then it doesn’t matter which side is a or b. 7^2+24^2=625

Then do the square root of 625.

Answer:

The scooter is going faster.

Step-by-step explanation:

30/2 = 15ft/s

55/4 = 13.75ft/s

(the question was cut off so I used the information I had) Hope this helped!

Answer:

A

Step-by-step explanation:

If you subtract 4 and add 16 you get 37

The square root of 36 is 6 and the square root of 49 is 7

so since 37 is closer to 36 it has to be than 7 and a little more than 6

Answer:

A. between 6.0 and 6.2

Step-by-step explanation:

solver using order of operations (PEMDAS)

[tex]\sqrt{25-4+16} \\\sqrt{21+16} \\\sqrt{37}\\6.08[/tex]

now that we have our answer we can see what numbers it fall between which are 6.0 and 6.2, giving us answer A

Answer:

the answer is D. 24

Step-by-step explanation:

the smaller triangle is half the size of the bigger triangle so just divide 48 by 2

Answer: 6x + 16

Step-by-step explanation:

2(3x+8)

Use distributive property and get:

6x + 16

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

[tex]4x+5y^3=-7[/tex]

[tex]4x+5y=-37[/tex]

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

Assuming the equation

[tex]4x+5y^3=-7[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)^3=-7[/tex]

[tex]-16+2^3\cdot \:\:5=-7[/tex]

[tex]-16+40=-7[/tex]

[tex]24=-7[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y^3=-7[/tex].

2)

[tex]4x+5y=-37[/tex]

Assuming the equation

[tex]4x+5y=-37[/tex]

substituting x = -4 and y = 2

[tex]4\left(-4\right)+5\left(2\right)=-37[/tex]

[tex]-16 + 10 = -37[/tex]

[tex]-6=-37[/tex]

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of [tex]4x+5y=-37[/tex].

Answer:

9m-2

Step-by-step explanation:

There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2

Answer:

OHHHHHHHH wait It went up by 8%!

Step-by-step explanation:

Answer:

44  3/16

Step-by-step explanation:

1414 ÷ 32 = 44.1875

[tex]44\frac{3}{16}[/tex] is 44.1875 as a mixed fraction.

Hope this helps!

If you need work let me know!

Answer:

Length  [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

Answer:

x = 1 and y = 3

Step-by-step explanation:

To use substitution, you want to substitute something for another variable. So lets take the first equation and solve for y

2x - y = -1

2x = y - 1

2x + 1 = y

Now we can substitute 2x + 1 for y in the other equation

3x + 2x + 1 = 6

5x = 5

x = 1

now that we have x, we can get y

2(1) - y = -1

2 - y = -1

2 = y - 1

3 = y

So x = 1 and y = 3

Answer: 12

Step-by-step explanation: 25.75a+7.25b=454

a+b=32

Answer:

16a + 20

12a + 20 + 4a

2(8a+10)

Step-by-step explanation:

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

Answer:

A

Step-by-step explanation:

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

Answer:

I believe the y is parallel :)))))))))

Answer:

35 degrees

Step-by-step explanation:

70 divided by 2 is 35.

And both sides are equal to each other bc the lines are parallel.

Answer:

well for me I think

Step-by-step explanation:

+10

T=-4.3+10

T=5.7°C

Answer:

50 Degrees

Step-by-step explanation:

Answer:

48$

Step-by-step explanation:

80% of 80 is 64 which means she spent 16$ and saved 64$

so 64-16=48$

answer = 48$

Answer:

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

Answer:

They are adjacent

Step-by-step explanation:

Answer:

45

Step-by-step explanation: