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2 years ago

What is the missing numerator?

Mathematics

1 answer:

N76 [4]2 years ago

3 0

Answer:

Step-by-step explanation:

As with any other addition fact problem, you can isolate the unknown term by subtracting the unwanted constant.

5/7 +x/6 = 51/42

x/6 = 51/42 -5/7 . . . . . subtract 5/7 from both sides

x/6 = 51/42 -30/42 = 21/42 = 1/2 . . . . . complete the subtraction

x = 6(1/2) = 3 . . . . . . . . multiply by 6

The missing numerator is 3.

_____

<em>Alternate solution</em>

Multiply the equation by 42:

30 +7x = 51

7x = 51 -30 = 21 . . . . . subtract 30

x = 21/7 = 3 . . . . . . . . divide by the coefficient of x

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Usando proporciones, se encuentra que 400 africanos han participado.

En total, hay x participantes.

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Los americanos son la dècime parte de los europeos, o sea:

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2 years ago

Help how do I solve this and how do I do it

Alja [10]

Answer:

C. 30+18x

Step-by-step explanation:

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3 years ago

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

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