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3 years ago

How many solutions does the system have?

Mathematics

1 answer:

EastWind [94]3 years ago

3 0

Answer:

A:One Solution

Step-by-step explanation:

First substitute the y in the first equation with the second equation to get

-2x-4=3x+3

since theres a variable of both sides, you subtract the variable with the least coefficient, in this case, you add 2x to both sides to get

-4=5x+3

subtract the constant on both sides to get

-1=5x

divide both sides by 5

x= -0.2 or -1/5

it's A, one solution

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Answer:

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3 years ago

Fraction of the shape shaded on these two shapes??

xxTIMURxx [149]

The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).

The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.

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3 years ago

The surface areas of two similar figures are 25 in2 and 36 in2. If the volume of the smaller figure is 250 in3, what is the volu

Slav-nsk [51]

Since the figures are similar, we can establish a rule of three as follows.
We know that the area of the smaller figure is $25in^{2}$ , and its volume is $250in^{3}$ . We also know that the area of the larger figure is $36in^{2}$ ; since we don't now its volume, lets represent it with $X$ :
$\frac{25in^{2}----\ \textgreater \ 250in^{3}}{36in^{2}----\ \textgreater \ Xin^{3}}$
$\frac{25}{36} = \frac{250}{X}$
$X= \frac{(250)(36)}{25}$
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We can conclude that the volume of the larger figure is $360in^{3}$ ; therefore, the correct answer is a.

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3 years ago

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