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NikAS [45]
3 years ago
12

One third of a number, z, added to one fifth of the same number is 3/5 . What is the number and why?

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0
Let
z--------> the number

we know that
<span>One third of a number, z, added to one fifth of the same number is 3/5 
</span><span>so
the equation that represents this sentence is 
</span>(1/3)z+(1/5)z=3/5
(5+3)z/15=3/5----------> 8z=9-------> z=9/8

therefore

the answer is the option
<span>D) 9/8 , because the equation that represents this sentence is 1/3z+1/5z=3/5 .</span>
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8 0
3 years ago
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Help please tell me what the answer is ASAP
Amiraneli [1.4K]

Answer:

The approximated length of EF is 2.2 units ⇒ A

Step-by-step explanation:

<em>The tangent ratio in the right triangle is the ratio between the opposite side to the adjacent side of one of the acute angle in the triangle</em>

In the given figure

∵ The triangle DFE has a right angle F

∵ The opposite side to angle D is EF

∵ The adjacent side to angle D is DF

→ By using the tangent ratio above

∴ tan(∠D) = \frac{EF}{DF}

∵ DF = 6 units

∵ m∠D = 20°

→ Substitute then in the ratio above

∴ tan(20°) = \frac{EF}{6}

→ Multiply both sides by 6

∴ 6 tan(20°) = EF

∴ 2.183821406 = EF

→ Approximate it to the nearest tenth

∴ 2.2 = EF

∴ The approximated length of EF is 2.2 units

7 0
3 years ago
Plz help ASAP thanks
m_a_m_a [10]

Answer:

No because the line does not pass through the origin

Step-by-step explanation:

to be proportional it has to go through the origin

7 0
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Answer:

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Step-by-step explanation:

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