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Alla [95]
3 years ago
12

which inequality represents the following situation 3/5 times 5 less than a number is no more than 27

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

The answer is \frac{3}{5}(x-5) \leq 27


Let's build the expression piece by piece, translating sentences into formulas:


"3/5 times..." \to \frac{3}{5} \times \ldots


"5 less than a number..." \to x-5 \ldots


So, the first block becomes


"3/5 times 5 less than a number..." \to \frac{3}{5}(x-5) \ldots


"...is no more than 27" \ldots \leq 27


So, putting the pieces together, you have the answer



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Heyy!!
rosijanka [135]

<u>Answer:</u>

6^{10}

<u>Step-by-step explanation:</u>

We can use the following rule of surds to solve the problem:

\boxed{a^m \times a^n = a^{m + n}},

which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.

Applying this rule:

6^2 \times 6^8

⇒ 6^{2 + 8}

⇒ \bf 6^{10}

8 0
2 years ago
P(less than 5)<br> Write as a fraction,percent and decimal
AVprozaik [17]
1/2 &50 0.5 hope this helps
6 0
2 years ago
Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for
KatRina [158]

Answer:

1+ 0i

Step-by-step explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

a +bi

Where a is the real part,

and bi is the imaginary part.

And i = \sqrt{-1}

Given complex number:

-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow  \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow  \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i

Hence, the standard form is 1+ 0i.

8 0
3 years ago
15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c
irakobra [83]

Step-by-step explanation:

Given that,

  • Height of cylinder = 4 cm
  • Volume of cylinder = 616 cm³

To find,

  • Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\

<u>Accordi</u><u>ng</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>qu</u><u>estion</u><u>,</u>

\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\

\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\

\longmapsto\rm{4312 = 88 \times r^2 }\\

\longmapsto\rm{\cancel{\dfrac{4312}{88}} =  r^2 }\\

\longmapsto\rm{49 =  r^2 }\\

\longmapsto\rm{\sqrt{49} =  r }\\

\longmapsto\rm{7 \; cm =  r }\\

Now,

\longmapsto\rm{Diameter = 2r }\\

\longmapsto\rm{Diameter = 2(7 \; cm) }\\

\longmapsto\bf{Diameter = 14 \; cm}\\

The required answer is 14 cm.

4 0
3 years ago
A rectangular carpet measures 12 m by 5 m.
Zepler [3.9K]

Answer:

\frac{1}{15}

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}.

The fraction of the carpet that is covered by the rug is \frac{1}{15}.

8 0
3 years ago
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