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3 years ago

A number plus itself, plus twice itself, plus 4 times itself is equal to -104

Mathematics

1 answer:

NARA [144]3 years ago

7 0

The scenario will will be represented by: $x+x+2x+4x=-104$

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

$x+x+2x+4x=-104$

This can also be written as:

$x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13$

Keywords: Linear Equation

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Suppose whale sharks are spotted in a rectangular area off the coast of Australia. If the dimensions of this location measure 40

nydimaria [60]

Answer:

2400 miles²

Step-by-step explanation:

Given that:

Area off the coast is rectangular ;

Dimension of location :40 miles by 66 miles

The area of the location will be : the area of a rectangle ;

The area of a rectangle = Length * width

Area = 40 miles * 60 miles

Area = 2400 miles²

5 0

2 years ago

Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

mixer [17]

Answer: range= 26, variance= 80 and standard deviation= 8.94

Step-by-step explanation:

Range = highest - lowest

Range = 146 - 120

Range= 26

Let m be mean

M=mean=sum/n

Mean=(120+134+146+127+138+133) / 6

M=798/6

M=133

The standard deviation sample formula:

S.D = sqrt( Summation of |x-m|^2 / n-1)

Let start finding:

|x-m|^2

For 1st: |120-133|^2=169

For 2nd: |134-133|^2=1

For 3rd: |146-133|^2=169

For 4th: |127-133|^2=36

For 5th: |138-133|^2=25

For 6th: |133-133|^2=0

Summation of |x-m|^2 = 400

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(400 / 5)

S.D=sqrt(80)

S.D= 8.94

Variance = (Summation of |x-m|^2 / n-1)

Variance= 400/5

Variance= 80

3 0

3 years ago

Read 2 more answers

Find the length of UV.

katovenus [111]

7x-8 (2) = 12x+8
14x-16 = 12x+8
-12x -12x
2x-16 = 8
+16 +16
2x = 24

÷2 ÷2
x= 12

UV= 7x-8
UV= 7(12)-8
UV= 84-8
UV= 76

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2 years ago

What is the discontinuity and zero of the function

lukranit [14]

The discontinuity are the point wherein the function is not defined.
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set $x-1=0$ then the discontinuity point is at $x=1$ .
Comptine the zeroes:
Set $3x^2+x-4=0$
Compute the discriminant: $1^2-4(3)(-4)=49=7^2.$
Then with quadratic formula we get the solutions:
$(-1-7)/6=-8/6\\(-1+7)/6=1$
The two zeros are $\dfrac{-8}{6},1$

7 0

3 years ago

The length of s is 2/3 the length of t. If s has an area of 368 cm squared find the perimeter of the figure

ser-zykov [4K]

$s = \frac{2}{3}t
\\\ \frac{2}{3}t*t = \frac{2}{3}t^2
\\\ \frac{2}{3}t^2 = 368
\\\ t^2 = \frac {3}{2}368
\\\ t^2 = 552
\\\ t \approx 23.5
\\\ s \approx 15.6
\\\ P \approx 78.2$

3 0

2 years ago

Read 2 more answers