Simplify the expression (0.4)3.
(1 point)
Responses
0.64
0.64
1.2
1.2
12
12
0.064
The correct answer is 0.064.
A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price of the jeans is $40, evaluate the expression to find the sale price.
(1 point)
Responses
s = p – 0.25p; $30
s = p – 0.25 p ; $30
s = p – 25; $15
s = p – 25; $15
s = p – 0.25p; $10
s = p – 0.25 p ; $10
s = p – 0.25; $39.75
To find the sale price, we need to calculate p - 0.25p, where p is the original price.
For this problem, p = $40.
s = p - 0.25p
s = 40 - 0.25(40)
s = 40 - 10
s = $30
The sale price of the jeans is $30.
Therefore, the correct expression representing the sale price is s = p - 0.25p; $30.
Simplify the following expression: start fraction 5 squared minus 4 over 5 plus 2 end fraction.
(1 point)
Responses
start fraction 1 over 7 end fraction
Image with alt text: start fraction 1 over 7 end fraction
six-sevenths
Image with alt text: six-sevenths
26.2
26.2
3
To simplify the expression, we need to evaluate each part individually and then combine the results.
5 squared is equal to 5 * 5, which equals 25.
Next, we have 4/5.
Finally, we have 2.
Now, we can substitute the simplified values back into the original expression:
(25) - (4/5) + 2
To add the fractions, we need to find a common denominator:
(25) - (4/5 * 5/5) + 2
(25) - (20/25) + 2
Now, we can subtract the fractions:
(25) - (20/25) + 2
(25) - (20/25) + 2
(25) - (20/25) + 2
Now, we can add and subtract the values:
25 - 20/25 +2
24.8
Therefore, the simplified expression is 24.8.
Find the value of the expression below for r = 4 and t = 2.
t3 – r + 20 ÷ r
(1 point)
Responses
9
9
72
72
6
6
40
To find the value of the expression t^3 - r + 20/r with r = 4 and t = 2, we substitute these values into the expression:
t^3 - r + 20/r
(2)^3 - 4 + 20/4
Evaluating each part:
(2)^3 = 8
4 - 4 = 0
20/4 = 5
Now, we substitute these values back into the expression:
8 - 0 + 5
Simplifying further:
8 + 5 = 13
Therefore, the value of the expression is 13.