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NNADVOKAT [17]
2 years ago
13

Mark's ratio is 3 tablespoons sugar to 2 tablespoons milk. Sharri is using 4 tablespoons of sugar to 3 tablespoons of milk. Eve

is using 9 tablespoons of sugar to 6 tablespoons of milk. Which girl's ratio is equivalent to Mark's?
Mathematics
1 answer:
mezya [45]2 years ago
4 0
Let's calculate for the tablespoons of sugar to tablespoons of milk ratio for Mark, Sharri and Eve.

Mark: 3/2 = 1.5
Sharri: 4/3 = 1.3
Eve: 9/6 = 1.5

From the solution, Eve has an equivalent ratio to that of Mark's.
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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

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3 years ago
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Step-by-step explanation:

1<u>/</u><u>3</u><u>x</u><u>+</u><u>1</u><u>/</u><u>4</u><u>0</u><u> </u><u>=</u><u>1</u><u> </u><u>2x – 3y = –30 –8 –3 3 8</u><u> </u><u> </u>

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3 years ago
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PLEASE HELP. I'LL GIVE BRAINLIEST.
vova2212 [387]
<h2>Answer:</h2>

The answer is 16.

<h2>Step-by-step explanation:</h2>

Since the 8x is positive, the equation  must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

\frac{8x}{2} \\\\4^2=16\\

The last number must be 16. Let's check it.

(x+4)^2=x^2+8x+16

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Y=2x-4

Step-by-step explanation:

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