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Kipish [7]
3 years ago
6

Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue p

aint. How many cans of white paint will she need to mix with 6 cans of blue?
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

\frac{3}{2}  = \frac{?}{6}

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

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A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an
slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a, b, c - Polynomial constants, measured in \frac{1}{m}, dimensionless and meters, respectively.

If we know that (x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m) and (x_{3}, y_{3}) = (9\,m, 0\,m), this system of linear equations is presented below:

9\cdot a + 3\cdot b + c = 0 (Eq. 1)

81\cdot a + 9\cdot b + c = 0 (Eq. 2)

64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)

The coefficients of the polynomial are, respectively:

a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}

The equation of the parabola that models the path of the long jumper through the air is y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.

But we need y measured in centimeters, then, we use the following conversion:

y = 100\cdot y'

Then, we get that:

y = -x^{2}+12\cdot x -27

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

4 0
3 years ago
Solve pls brainliest
satela [25.4K]

Answer:

13 and 10

Step-by-step explanation:

4 0
3 years ago
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4 friends evenly divided up a n- slice pizza. One of the friends , Harris, ate 1 fewer slice than he received. How many slices o
LenKa [72]

4 friends evenly dividing up a n - slice pizza

So each one get \frac{n}{4} slices of pizza.

 For example, if n = 12 slice then each friend gets 12/4 = 3 pieces.  If Harris ate one slice less then he ate  \frac{12}{4}-1=3 -1 =  2 pieces.

So the general expression for slices of pizza did Harris eat is

\frac{n}{4}-1


6 0
3 years ago
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I WILL GIVE BRAINLEST TO FIRST ANSWER!! DUE 20 MINUTES!!
levacccp [35]

Answer:

D

Step-by-step explanation:

1 - 1/4 + 2/5 = 23/20

20/20 - 5/20 = 15/20

15/20 + 8/20 = 23/20

hope this helps! :)

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irinina [24]
The answer is 120 miles , because it is a proportion 
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