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Damm [24]
3 years ago
9

If m + 4n=2n + 8m; what is the ratio of n to m

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0
Combine like terms to get 2n = 7m
MrRissso [65]3 years ago
8 0
To answer the ratio, massage this equation around to find ' n/m ' .
Let's subtract 'm' from each side:
4n = 2n + 7m
Subtract '2n' from each side:
2n = 7m
Divide each side by 'm' :2 (n/m) = 7
Divide each side by 2 :
n/m = 7/2 . . . . . there's your ratio.  That's choice-'e'.
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What digit can be in the ones place of a number that has 5 as a factor
saveliy_v [14]
Only numbers possible would be five and zero

8 0
3 years ago
The bells are adding a new room to their house. The room will be a cube with volume 8,000 ft^3. They are going to put in hardwoo
Mandarinka [93]

Answer:

$4000

Step-by-step explanation:

Given that :

Volume of cube = 8000 ft³

Charge per ft² = $10

Recall, volume of a cube = a³

Where a = edge

Hence,

a³ = 8000

Take the cube root of both sides

a = 20

Hence,

Volume = 20 * 20 * 20

The Area of the floor will be :

20 * 20 = 400 ft²

If charge per ft² = $10

400 ft² = ($10 * 400) = $4000

8 0
3 years ago
6.
Rudik [331]

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0
2 years ago
5/4 to 3/8 as a percent change
Digiron [165]
Well, what's the diffrence from 5/4 to 3/8?

\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

\bf \begin{array}{ccll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;\frac{5}{4}&100\\\\&#10;\frac{7}{8}&x&#10;\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}&#10;\\\\\\&#10;\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}
5 0
3 years ago
What meets a segment at its midpoint at a 90 degree angle?
marysya [2.9K]

Answer:

The right angle's vertex.

Step-by-step explanation:

A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.

6 0
2 years ago
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