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3 years ago

twice a number plus another number is 310. The difference between the two numbers is 55. What are the two numbers

2 answers:

4 0

Lets say the first number is x and the second y

twice the first number is 2x plus another number (y) =310
the difference of the numbers (x-y) = 55
we have simultaneous equations here:
2x+y=310
x-y=55

to cancel the y's the signs are different so you add the equations to give
3x=365
divide it by 3 to get:
x=121 and 2/3

using the easier equation x-y=55 we know x=121 2/3
now we substitute to get 121 2/3 -y=55
take 121 2/3 from both sides to get:
-y= -66 2/3
therefore y= 66 2/3

that means x=121.6(recurring) and y= 66.6(recurring)

Masteriza [31]3 years ago

3 0

T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3

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Answer:

$y = \frac{1}{2}x^{2} - 3x + 11.5$

Step-by-step explanation:

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The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

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Now substitute in the given point; ( -1, 9) and solve for a;

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Hence the equation in vertex form is;

$y = \frac{1}{2}(x - 3)^{2} + 7$

In standard form it is;

$y = \frac{1}{2}x^{2} - 3x + 11.5$

7 0

3 years ago

ASAP. Can someone help me find the percentage of these please, I can't figure it out. (Pic below)

atroni [7]

Answer:

Interphase: 55.56%

Prophase: 27.78%

Metaphase: 8.33%

Anaphase: 5.56%

Telophase: 2.78%

Step-by-step explanation:

All you need to do is follow the instructions. To get the percentage, all you need to do is divide the part by the whole then multiply it by 100%.

$\dfrac{Part}{Whole}\times 100\%$

Now let's take your problem:

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20 this is the part and the whole would be the total cells, which is 36. Now we insert that into our equation:

$\dfrac{20}{36}\times 100\%=0.5556\times100\%=55.56\%$

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Prophase:

$\dfrac{10}{36}\times 100\%=0.2778\times100\%=27.78\%$

Metaphase:

$\dfrac{3}{36}\times 100\%=0.0833\times100\%=8.33\%$

Anaphase:

$\dfrac{2}{36}\times 100\%=0.0556\times100\%=5.56\%$

Telophase:

$\dfrac{1}{36}\times 100\%=0.0278\times100\%=2.78\%$

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nevsk [136]

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Step-by-step explanation:

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