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3 years ago

Given:point E is between points G and T, GE = 2x, ET = 3x - 1, and GT = 14. Find x

Mathematics

1 answer:

kotegsom [21]3 years ago

6 0

Answer: x=5

Step-by-step explanation: Umm... I just solved it... yea...

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What is the standard deviation of the following data? If necessary, round your answer to two decimal places. 82, 44, 67, 52, 120

Dominik [7]

<span>Number of values = 5 (There are 5 values given)

Mean = (82 + 44 + 67 + 52 + 120)/5 = 73

Variance = (1/5) [(82-73)^2 + (44-73)^2 + (67-73)^2 + (52-73)^2 + (120-73)^2] = 721.6

Standard deviation = sqrt (721.6) = 26.86</span>

5 0

3 years ago

This morning, some dragons, horses, and chickens were playing in my backyard. I counted 15 heads, 50 legs, and 4 wings. How many

klasskru [66]

We are given

number of heads =15

we know that

any healthy dragon has three heads

horse has 1 head

chicken has 1 head

Let's assume

number of dragons is x

number of horses is y

number of chickens is z

so, we will get

first equation:

$3x+y+z=15$

number of legs =50

any healthy dragon has four legs

chicken has 2 legs

horse has four legs

so, we can get second equation as

$4x+4y+2z=50$

we can simplify it

$2(2x+2y+z)=50$

$2x+2y+z=25$

now, we can find third equation

dragon has two wings

horse has no wings

chicken has two wings

so, we will get third equations as

$2x+0y+2z=4$

now, we can simplify it

$2x+2z=4$

$2(x+z)=4$

$x+z=2$

so, we will get system of equations as

$3x+y+z=15$

$2x+2y+z=25$

$x+z=2$

now, we can use substitution

We can find for z from third equation

$z=2-x$

we can plug this in first equation

$3x+y+2-x=15$

now, we can solve for y

$2x+y+2=15$

$y=13-2x$

now, we can plug this z and y into second equation

$2x+2(13-2x)+2-x=25$

now, we can solve for x

$x-4x+26=23$

$-3x=-3$

$x=1$

now, we can find y and z

$y=13-2x$

we can plug x=1

$y=13-2*1$

$y=11$

$z=2-x$

we can plug x=1

$z=2-1$

$z=1$

Hence ,

number of dragons is 1

number of horses is 11

number of chicken is 1............Answer

7 0

3 years ago

Which would be the next step in solving for matrix A?

Sophie [7]

The answer to this would be the 3rd option

4 0

3 years ago

Find the percent of increase from 2005 to 2010.

Molodets [167]

Answer:

0.249%

Step-by-step explanation:

Difference: 2010 - 2005 = 5

Increase = Difference / Starting point = 5 ÷ 2005 = 0.00249 or 0.249%

3 0

3 years ago

Answer this question pls!!

Shtirlitz [24]

Answer:

Step-by-step explanation:

7 0

3 years ago