Answer:
3 1/3
Step-by-step explanation:
10+z=z+z+z+z
10+z=4z
10=3z
z=3 1/3
The fraction that should be removed is 1/5.
<h3>How to calculate the fraction?</h3>
It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:
= 100 - 40%
= 60%
The fraction that's should be removed will be:
= 2/5 - x = 1/5
x = 2/5 - 1/5
x = 1/5
The fraction that should be removed is 1/5.
Learn more about fractions on:
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The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
It would be about 4/10 of a gallon
Answer:
0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x+4(4x+3)=4(6x+4)−4
8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)
8x+16x+12=24x+16+−4
(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)
24x+12=24x+12
24x+12=24x+12
Step 2: Subtract 24x from both sides.
24x+12−24x=24x+12−24x
12=12
Step 3: Subtract 12 from both sides.
12−12=12−12
0=0
Answer:
All real numbers are solutions.
