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emmasim [6.3K]
3 years ago
14

1.Solve the following system of equations:

Mathematics
1 answer:
Yuri [45]3 years ago
7 0
C. infinitely many solutions
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the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large
Dmitriy789 [7]

Answer:

The volume of the similar prism is 336\ cm^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> the scale factor

y=42\ cm^{3}

substitute and solve for x

x=42(2^{3})=336\ cm^{3}

3 0
3 years ago
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
svet-max [94.6K]

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

3 0
3 years ago
A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that
Viefleur [7K]
Y=2x+320
x being the number of years and 320 being the initial population of mice
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3 years ago
The length of MN is 28 millimeters.
FinnZ [79.3K]

the answer should be 49mm

28*7 / 4 = 49

6 0
3 years ago
Read 2 more answers
Find the volume of the cone. H=9cm r=6cm
never [62]

Answer:

the volume of the cone is 339.29

Step-by-step explanation:

3 0
3 years ago
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