The simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.
<h3>
What is an expression?</h3>
- An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
To find the simplified expression:
Given -
- Distance cycled = x² + 7 miles
- Distance ran = 2x miles
- Distance swam = x - 2 miles
Thus,
- Total distance she covers = x² + 7 + 2x + x - 2
- Total distance = x² + 3x + 5 miles
Therefore, the simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.
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The complete question is given below:
Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?
(A) x2 + 3x + 5
(B) x2 + 3x + 9
(C) 3x2 + 5
(D) 3x2 + 9
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
Can’t see the question clearly
Answer:
2(2x + 1)
Step-by-step explanation:
4x = 2 * 2x
2 = 2 * 1
