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Studentka2010 [4]
3 years ago
9

6-3/4x+1/3=1/2 x+5 a.2 b.3 c.6 d.12

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
6-3/4x+1/3=1/2x+5
6+1/3-5=1/2x+3/4x
4/3=5/4x
x=16/15
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The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 72
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A class quiz has 5 True/False questions. The correct answers are T, T, F, F, and T, in that order. John answered the
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Determine sum of the first 16 terms (S16) for an arithmetic series given the first tem is 9 (a = 9) and
Mekhanik [1.2K]

\boxed{Sum=624}

<h2>Explanation:</h2>

The nth term of an arithmetic series (a_{n}) and the sum of an arithmetic series (Sum), for n terms, can be found as:

a_{n}=a_{1}+d(n-1) \\ \\ Sum=\frac{n}{2}[2a_{1}+(n-1)d] \\ \\ \\ Where: \\ \\ a_{1}:First \ term \\ \\ d:Common \ difference \\ \\ n=Number \ of \ term

So, in this exercise:

a_{1}=a=9 \\ \\ d=4 \\ \\ n=16 \\ \\ \\ Sum=\frac{16}{2}[2(9)+(16-1)4] \\ \\ Sum=8[18+(15)4]  \\ \\ Sum=8[18+60] \\ \\ Sum=8[78] \\ \\ \boxed{Sum=624}

<h2>Learn more:</h2>

Missing numbers in triomino: brainly.com/question/10510270

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4 0
3 years ago
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Andru [333]

The friction force exerted on the 2400kg car is 9408 Newtons

<h3>What force will be exerted on the 2400kg car?</h3>

First, we know that the friction force and mass are represented by a proportional relation, this means that we can write:

F = k*M

Where F is the force, M is the mass and k is the constant of proportionality.

We know that for a 1600kg car, a force of 6272N is exerted, replacing that we get:

6272N = k*1600kg

Solving for k we get:

k  = (6272N)/(1600 kg) = 3.92 N/kg

Then the proportional relationship is:

F = (3.92 N/kg)*M

So if M = 2400kg, we have:

F = (3.92 N/kg)*2400kg = 9408 N

So the friction force exerted on the 2400kg car is 9408 Newtons

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8 0
2 years ago
How to solve <img src="https://tex.z-dn.net/?f=2n%20%3D%5Cfrac%7B15%7D%7B2%7D" id="TexFormula1" title="2n =\frac{15}{2}" alt="2n
Zigmanuir [339]

Answer:

2n=\dfrac{15}{2}

Multiply both sides by 2:

\implies 2 \cdot 2n=2 \cdot \dfrac{15}{2}

\implies 4n=15

Divide both sides by 4:

\implies \dfrac{4n}{4}=\dfrac{15}{4}

\implies n=\dfrac{15}{4}

\dfrac14=\dfrac{n}{5}

Multiply both sides by 5:

\implies 5 \cdot \dfrac14=5 \cdot \dfrac{n}{5}

\implies \dfrac54=n

\implies n=\dfrac54

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2 years ago
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