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3 years ago

Could anyone help me solve this?2.5m + 10 = 1.6m - 6

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

m = 17.78.

Step-by-step explanation:

Given the algebraic expression;

2.5m + 10 = 1.6m - 6

To find the value of m;

First of all, we would collect like terms.

2.5m - 1.6m = -6 - 10

0.9m = -16

m = -16/0.9

m = 17.78

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The length of a rectangle is 7 inches more than its width. If the perimeter of the rectangle is 66 inches, find the dimensions.

Igoryamba

Answer:

13 by 20 inches

Step-by-step explanation:

Represent the quantities as follows:

P = 2W + 2L

L = W + 7

Then P = 2W + 2(W + 7), or P = 4W + 14

and this formula has the value 66 inches.

Thus, P = 66 inches = 4W + 14 inches, or

52 inches = 4W

Dividing both sides by 4, we get W = 13 inches.

The width is 13 inches and the length is (13 + 7) inches, or 20 inches.

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4 years ago

The formula for the

pogonyaev

It represents the areas of two circles enclosing the cylinder.

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8 0

3 years ago

How do I solve this algebra two btw

pychu [463]

$\bf \begin{cases} x^2+y^2=400\\ \boxed{y}=x-28 \end{cases}\qquad \stackrel{\textit{substituting on the 1st equation}}{x^2+\left( \boxed{x-28} \right)^2=400} \\\\\\ x^2+(x^2-56x+28^2)=400\implies x^2+x^2-56x+28^2=400 \\\\\\ 2x^2-56x+784=400\implies 2x^2-56x+384=0 \\\\\\ 2(x^2-28x+192)=0\implies x^2-28x+192=0 \\\\\\ (x-16)(x-12)=0\implies x = \begin{cases} 16\\ 12 \end{cases}$

now that we know what are the x-values, what are the y-values? well, we can just use the 2nd equation, since we know that y = x - 28, then

$\bf y = x - 28\implies \stackrel{\textit{when x = 16}}{y = 16 - 28}\implies y = -12 \\\\\\ y = x - 28\implies \stackrel{\textit{when x = 12}}{y = 12 - 28}\implies y = -16 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{x}{16}~~,~~\stackrel{y}{-12})\qquad,\qquad (\stackrel{x}{12}~~,~~\stackrel{y}{-16})~\hfill$

7 0

3 years ago

Could anyone help me solve this?2.5m + 10 = 1.6m - 6​

Could anyone help me solve this?2.5m + 10 = 1.6m - 6