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AURORKA [14]
3 years ago
13

Karen works for 85 hours throughout a two-week period. She earns $2,891.25 throughout this period. How much does karen earn for

8 hours
pls help me giving 33 points! enjoy <3
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0
$271.11 or $271.12 if you round up. Not sure how this one is complicated. Correct me if I’m wrong... 2.891.25 divided by 85. You then take that number and multiple it by 8. Seems very straight up.
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50% of 180 dancers said they prefer hip hop class over tap class. How many dancers prefer hip hop class?
Simora [160]

Answer:

90

Step-by-step explanation:

50% of 180 = 90%

90% is the answer.

3 0
2 years ago
Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is
Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

    Length of Shorter leg = x,

According to the given condition we have

∴  Length of Longer leg = x + 9 feet

∴  Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

substituting the given values we get

(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\

By using Identity (A ± B)² = A² ± 2AB +B²  we get

4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet

Substituting x=27 we get

∴  Length of Longer leg = x + 9 =27 +9 = 36 feet

∴  Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

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3 years ago
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ANEK [815]

Answer:

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Step-by-step explanation:

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Then f(x)=|x|+2 is the same graph shifted upwards by two units meaning it can only output values bigger or equal to than 2. So the range is x \geq 2
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Rewrite the function by completing the square.<br> f(x) = x² +6x+87
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