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NARA [144]
3 years ago
7

How do you simplify (3x+1/2)+(7x-41/2)

Mathematics
1 answer:
Contact [7]3 years ago
3 0
21x-13.5x+3.5x-2.25
<span>24.5x-15.75</span>
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When a barrel is 30% empty it
blondinia [14]

Answer:

it is 70% full

Step-by-step explanation:

When it is 30 % empty it means it is 70% full

0.7x=0.3x+30

0.7x-0.3x=30

5 0
3 years ago
In Nebraska, the mean rain-fed corn yield of harvested fields are normally
NikAS [45]

Answer: 169.2 per acre are produced if a field is in the top 25%.

Step-by-step explanation:

Given:  The mean rain-fed corn yield of harvested fields are normally  distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.

Let X denote the mean rain-fed corn yield of harvested fields.

Let x denotes the number of bushels per acre are produced if a field is in the top 25%.

Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.

I.e.

P(X.

Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]

Then, \dfrac{x-147.2}{33}=0.6744

\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31

Here approx value is 169.2 (from options).

So, 169.2 per acre are produced if a field is in the top 25%.

6 0
3 years ago
In the solution of the equation 5 + 3x = -2x + 9, 2x is added to the equation first. Which of the following should be done next?
puteri [66]

You should subtract 5 from both sides next.


Adding 2x to both side will give you the following.


5 + 5x = 9


And since you got all the variable terms to the left, you want all the constant terms to the right. You do that by subtracting 5 from both sides. This gives you the below statement.


5x = 4


You can then divide to solve.


x = 4/5 or .8

5 0
3 years ago
In right angled triangle abc ab=x cm bc=(x+7) and ac=17cm​
Katarina [22]

Answer:

2x^2+14x-240=0

Step-by-step explanation:

Remember Pythagoras's theorem?

a^2+b^2=c^2

So over here,

x^2+ (x+7)^2= 17^2 [ we need to now simplify (x+7)^2 --> (x+7) (x+7)  ]

x^2+ x^2+7x+7x+49= 289

2x^2+ 14x+49= 289

2x^2+14x+49=0 [ we need to make the right side zero coz thats

the rule for ]  

2x^2+14x-240=0

(idk, but i think the "show that  x^2.....) is wrong)

5 0
3 years ago
How do you solve 9^x + 6^x = 2^(2x+1) using logarithms
zlopas [31]

Answer:

4444444444444444444444444444

Step-by-step explanation:

4 0
3 years ago
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