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dsp73
3 years ago
13

Write a numerical expression that satisfies all of the following conditions. • The only number used in the expression is 3. At l

east one exponent other than 1 is used. When the expression is evaluated, the answer is greater than 30 and less than 40.​
Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).

Here is a variable expression: 3x+7.

To evaluate this expression when x=2 mean to substitute 2 in place of x, and find the number (the value). [see note below]

3(2)+7=6+7=13.

When x=2, the expression has a value of `13.

If we evaluate the same expression when x=10, we get:

3(10)+7=30+7=37.

Here's a variable expression with two variables : 3x−2y

In order to evaluate this expression, we'll need values (numbers) for both x and y.

Evaluate the expression 3x−2y when x=4 and y=5

3(4)−2(5)=12−10=2

If we change the values to x=5 and y=4, we get

3(5)−2(4)=15−8=7.

Note:

To avoid saying exactly the same thing over and over, we use the following to mean the same thing:

evaluate the expression when x=2

evaluate the expression for x=2

evaluate the expression at x=2

evaluate the expression assuming x=2

evaluate the expression if x=2

Also

If there is only one variable in an expression, we don't always need to mention it:

evaluate the expression for 2

evaluate the expression at 2

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Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passenger
posledela

There were 40 tourist class passengers and 12 first class passengers.  

Explanation:

Let the number of passengers who booked for tourist class be

=

x

Then, number of passengers who booked for first class

=

52

−

x

According to question,

Total money paid = $25(tourist class)+$30(first class)  

$

1360

=

$

25

(

x

)

+

$

30

(

52

−

x

)

1360

=

25

x

+

1560

−

30

x

1360

−

1560

=

25

x

−

30

x

−

200

=

−

5

x

x

=

−

200

−

5

x

=

40

So, there were 40 tourist class passengers.

Now first class passengers

=

52

−

x

=

52

−

40

=

12

∴

There were 40 tourist class passengers and 12 first class passengers.  

As a check

Total money paid = $25(tourist class)+$30(first class)  

R

H

S

=

$

25

(

40

)

+

$

30

(

12

)

$

1000

+

$

360

=

$

1360

L

H

S

=

$

1360

Hence verified.

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