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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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While on vacation Craig bought a pair of sunglasses for $15.98 for $7.99 5 postcards and a beach towel the beach towel cost 0.50
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Answer:

$0.79.

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Let T= The price of beach towel,

P = The cost of each postcard.

S = The cost of sunglasses.

H = The cost of hat.

We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.

We can set this information in an equation as:

T=\frac{15.98}{2}+0.50

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We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:

T+5P+S+H=40-3.59

Let us substitute our given values.

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32.46+5P=36.41      

Let us subtract 32.46 from both sides of our equation.

32.46-32.46+5P=36.41-32.46

5P=3.95  

Let us divide both sides of our equation by 5.

\frac{5P}{5}=\frac{3.95}{5}  

P=0.79  

Therefore, each postcard costs $0.79.

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