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SpyIntel [72]
3 years ago
10

X to the 9th power over x to the 4th power.

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
Since it is division, you can subtract 9 by 4 and put the same base on the result.  The answer would be x to the 5th power.
Ugo [173]3 years ago
8 0
X^9/ x^4 = x^9-4 = x^5
This property is called the quotient of powers property.

*Hope that helps :)

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Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. It is the end of berry picking season, so
Diano4ka-milaya [45]

System of inequalities representing given scenario is as follows

x + y ≤40  

5x + 4y ≥ 120    

<h3><u>Solution:</u></h3>

Given that Sara sells homemade blueberry jelly (b) and strawberry jam (s) at the farmer's market. She has enough berries for no more than 40 jars.

The blueberry jelly sells for $5 per jar,  

And the strawberry jam sells for $4 per jar.

Sara's goal is to make at least $120

Need to write system of inequalities for above scenario.

Let’s assume number of jars of blueberry jelly be represented by variable “x”

And assume number of jars of strawberry jam be represented by variable “y”

<em><u>Let’s create first inequality  </u></em>

As it is given that Sara has enough berries for no more than 40 jars, so total number of jars cannot be more than 40.  

=> Number jars of blueberry jelly + number of jars of strawberry jam ≤40

=>  x + y ≤ 40 ------(1)

<em><u>Now let’s create second inequality </u></em>

Selling Price of 1 blueberry jelly = $5  

So Selling Price of "x" blueberry jelly =x \times 5=5 x

Selling Price of 1 strawberry jam = $4

So Selling Price of "y" strawberry jam = \$ 4 \times \mathrm{y}=4 y

So amount generated by selling x blueberry jelly and y strawberry jam = 5x + 4y

And as Sara’s goal is to generate at least $120, so amount generated by selling “x” blueberry jelly and “y” strawberry jam must be greater than $120  

=> 5x + 4y ≥ 120   ------ (2)

Hence system of inequalities representing given scenario is as follows :

x + y ≤40  

5x + 4y ≥ 120    

3 0
2 years ago
In athletic competition, the record jump in the pole vault was 6.75 Meters. An athlete set a
sdas [7]

Answer:

<h2>25.96%</h2>

Step-by-step explanation:

Givens

  • The old record is 6.75 meters.
  • The new record is 8.5 meters.

If 6.75 meters represents 100%, which percentage would represents 8.5 meters? (we use the rule of three).

8.5 \times \frac{100 \%}{6.75 } =125.93 \%

Then, we subtract 125.96% - 100% = 25.96%

Therefore, the percentage between the two records is 25.96%

3 0
2 years ago
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