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3 years ago

Solve the equation 50=4(x-7)-6(3x-6)

Mathematics

2 answers:

andreev551 [17]3 years ago

6 0

50 = 4(x - 7) - 6(3x - 6)

Apply the Distributive Property to get rid of the parentheses first. The Distributive Property: a(b + c) = ab + ac.

50 = 4(x - 7) - 6(3x - 6)

50 = 4x - 28 - 18x + 36

Collect like terms (constants and x-terms).

50 = 4x - 28 - 18x + 36

50 = -14x + 8

Subtract 8 from both sides to isolate the variable term.

42 = -14x

Divide both sides by -14 to isolate x.

42/-14 = -14x/-14

-3 = x

Answer:

x = -3

rusak2 [61]3 years ago

3 0

we are given

$50=4(x-7)-6(3x-6)$

Firstly , we can distribute

$50=4x-28-18x+36$

now, we can combine like terms

$50=-14x+8$

$-14x=42$

now, we can solve for x

and we get

$x=-3$ ...........Answer

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4 years ago

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Find the equation in standard form of the line with slope

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$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
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3 years ago

Sheri is making 4 pounds of mixed nuts. She will use One-third the amount of macadamia nuts as she does almonds. A graph titled

notsponge [240]

1 pound of macadamia nuts; 3 pounds of almonds of each nut will she use.

Given that,

Sheri is making 4 pounds of mixed nuts.

She will use One-third the number of macadamia nuts as she does almonds.

A graph titled Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis, and pounds of almonds on the y-axis. 2 lines intersect at (1, 3).

We have to find,

How many pounds of each nut will she use?

According to the question,

Total mixed nuts are 4 pounds,

She will use One-third the number of macadamia nuts as she does almonds.

2 lines intersect at (1, 3).

Therefore,

Sheri's mixed nut recipe has pounds of macadamia nuts on the x-axis,

At x-axis, the point 1 lies.

So, macadamia nuts have 1 pound.

And pounds of almonds on the y-axis,

At y-axis, the point 3 lies.