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stepladder [879]
4 years ago
8

2x+3y=41 and 5x+4y=85

Mathematics
1 answer:
Sever21 [200]4 years ago
5 0

Answer:

5x+4y=85-

 Slope = -2.500/2.000 = -1.250

 x-intercept = 85/5 = 17

 y-intercept = 85/4 = 21.25000

2x+3y=41-

 Slope = -1.333/2.000 = -0.667

 x-intercept = 41/2 = 20.50000

 y-intercept = 41/3 = 13.66667

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What is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 4
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y=4x+8

Step-by-step explanation:

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3 years ago
Simplify the expression by combining like terms2a + 3b + 5 + 10 + 4b + 6b
Anastaziya [24]

Expression:

2a+3b+5+10+4b+6a

We can add just the terms that are similar, as follows:

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Image attached. Geometry: finding angles
miv72 [106K]

Answer:

28 degrees

Step-by-step explanation:

Because a triangle equals 180, you can subtract 90 and 34 from triangle ABE to leave you with 56 degrees for angle B.

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4 0
4 years ago
The weights of the apples grown on an orchard are normally distributed. The mean weight has been m0 = 9.500 ounces. Because of t
diamong [38]

Answer:

t(s) is in rejection zone then we reject H₀.

Bad weather indeed make apples weight decrease

Step-by-step explanation:

Normal Distribution

population mean    μ₀   = 9.5 ou

sample size   =  n   =  16  then we should apply t-student table

degree of fredom   df  =  n  - 1     df =  16  -  1    df  = 15

1.-Test  hypothesis

H₀     null  hypothesis                          μ₀   =  9.5    

Hₐ alternative hypothesis                   μ₀  <  9.5

One left tail-test

2.-Confidence level 95 %

α  =  0,05    and   df  = 15    from t-student table we get  t(c)  =  - 1.761

3.-Compute t(s)  

t(s)  =  [ μ  -  μ₀  ] /√s/n         t(s)  = (9.32  -  9.5 )* √16 / 0.18

t(s)  = -  0.18*√16 / 0.18

t(s)  = - 4

4.-Compare  t(s)   and t(c)

t(s) < t(c)     -4  <  - 1.761

Then  t(s)  is in the rejection zone.

5.- Decision

t(s) is in rejection zone then we reject H₀.

Farmer conclude that bad weather make apples weight decrease

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4 years ago
Which number is not divisible by either of the numbers 3 and 5?
Triss [41]
3and5 are both divisible by 15
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