Answer:
x > - 3
Step-by-step explanation:
Given
3(x + 2) > x ← distribute left side
3x + 6 > x ( subtract x from both sides )
2x + 6 > 0 ( subtract 6 from both sides )
2x > - 6 ( divide both sides by 2 )
x > - 3
Answer:
- 5/7 - (3/14 + 3/14) = 2/7
See the steps of solution:
- 5/7 - (3/14 + 3/14) = Solve parenthesis first
- 5/7 - (3 + 3)/14 = Add fractions with same denominator
- 5/7 - 6/14 = Simplify
- 5/7 - 3/7 = Subtract fractions with same denominator
- (5 - 3)/7 = Simplify
- 2/7 Answer
Answer:
one gadget costs $15.80
Step-by-step explanation:
Let w = cost of one widget
Let g = cost of one gadget
Given:
- Five widgets and three gadgets cost $109. 90
⇒ 5w + 3g = 109.9
Given:
- One widget and four gadgets cost $75. 70
⇒ w + 4g = 75.7
Rewrite w + 4g = 75.7 to make w the subject:
⇒ w = 75.7 - 4g
Substitute into 5w + 3g = 109.9 and solve for g:
⇒ 5(75.7 - 4g) + 3g = 109.9
⇒ 378.5 - 20g + 3g = 109.9
⇒ 378.5 - 109.9 = 20g - 3g
⇒ 268.6 = 17g
⇒ g = 15.8
Therefore, one gadget costs $15.80
To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:
⇒ w = 75.7 - 4(15.8)
⇒ w = 75.7 - 63.2
⇒ w = 12.5
Therefore, one widget costs $12.50
Answer:
The circumference of Earth's equator is 40,080 km.
Step-by-step explanation:
Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:
24 x 1,670 = X
40,080 = X
Therefore, the circumference of Earth's equator is 40,080 km.
