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SpyIntel [72]
2 years ago
14

Solve linear equation 1/4 x + 18 = X

Mathematics
1 answer:
Anton [14]2 years ago
3 0

Answer:

24

Step-by-step explanation:

1 / 4 x + 18 = x

x / 4 + 18 = x

x = x / 4 + 18

x - x / 4 = 18

( 4x / 4 ) - ( x/4 ) = 18

( 4x - x ) / 4 = 18

3x / 4 = 18

3x = 18 * 4

x = ( 18 * 4 ) / 3

  = 6 * 4

x = 24

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For some integer n, the first, the third and the fifth terms of an arithmetic sequence are respectively 3n, 5n – 6, and 11n + 8.
Mazyrski [523]

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;

or a₄=-39.

8 0
2 years ago
Write an equation of the line that passes through the given points.<br> (-1,5) and (2, - 7)
Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given points are (-1,5) and ( 2,-7)

Slope of the line

m =\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }  =\frac{-7-5}{2-(-1)}  = \frac{-12}{3} = -4

slope of the line m = -4

<u><em>Step(ii):-</em></u>

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

y - y_{1} = m( x-x_{1} )

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

<u><em>Final answer:-</em></u>

The equation of the straight line is 4x +y = 1

<u><em>  </em></u>

6 0
2 years ago
Please help me I wanna get out this class
snow_lady [41]
Cut a line between the triangle and rectangle
area of rectangle is length x width
8x5=40
area of triangle is base x height divide by 2
5x5=25
25 divide by 2 is 12.5
add them together
40+12.4 = 52.4
4 0
2 years ago
An experiment was conducted to investigate whether there is a difference in mean bag strengths for two different brands of paper
Elanso [62]

Answer:

A two-sample t-test for a difference between sample means

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of 50 bags from each of Brand X and Brand Y was selected

Given two sample sizes n₁ and n₂

Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

mean of ounces the first sample = x⁻

mean of the  second sample =y⁻

Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

Standard deviation of the first sample = S₁

Standard deviation of the second sample = S₂

Now we use t - distribution for a difference between the means

t = \frac{x^{-}  -y^{-} }{\sqrt{S^{2}(\frac{1}{n_{1} }  +\frac{1}{n_{2} } } }

where

S^{2} = \frac{n_{1} S_{1} ^{2} +n_{2}S_{2} ^{2}  }{n_{1} +n_{2} -2 }

Degrees of freedom γ = n₁ +n₂ -2

3 0
3 years ago
Which value would be a solution for × in the inequality 47-4×&lt;7
Bad White [126]

Step-by-step explanation:

47-4x<7

-4x<7-47

-4x<-40

x>(40÷4)

x>10

6 0
3 years ago
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