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3 years ago

6x+4=45 find the value of x

Mathematics

1 answer:

RSB [31]3 years ago

8 0

Answer:

x = 41/6 or 6.8333333

Step-by-step explanation:

When solving for x, work backwards to get to x, here we have 4 more than 6 times x, so subtract the 4 from both sides...

6x + 4 = 45 becomes

6x = 41

Now get rid of the 6 by dividing both sides by 6 to isolate x...

6x = 41 becomes

x = 41/6 or 6.8333333 as a decimal

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Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1

makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

$\begin{aligned}\\
x+y&=320\\
y&=320-x\\
\end$ .......1

Now as the total money with ticket selling is $1100. Thus,

$2.5x+4y=110$

Keep the value of u from the equation 1 in the above equation. We get,

$\begin{aligned}
2.5x+4(320-x)&=1100\\
2.5x+1280-4x&=1100\\
-1.5x&=1100-1280\\
-1.5x&=-180\\
x&=\dfrac{180}{1.5} \\
x&=120\\
\end$

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

$y=320-x\\
y=320-120\\
y=200$

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

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8 0

2 years ago

Read 2 more answers

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

$z=\frac{x-\mu}{\sigma}$

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

$z=\frac{10-14.3}{3.7} =-1.16\\$

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

$z=\frac{26-14.3}{3.7}=3.16\\$

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0

3 years ago

Which of the following is the minimum value of the equation y = 2x2 + 5?

raketka [301]

(0, 5) is the minimum value.

Find the axis of symmetry by plugging the respective variables into -b/2a

-5/2(0) = 0

There is no b-value in our equation, or rather, the value of b is 0. To see this, y = 2x^2 + 5 can be written as

y = 2x^2 + 0x + 5

We plug 0 into f(x), establishing every x-value as 0.

f(0) = 2(0)^2 + 5
f(0) = 0 + 5
f(0) = 5

5 is now your vertex’s y-value. Plot the two values together.

(0, 5)

We know that this is a minimum because the leading coefficient is positive, meaning the the graph’s parabola will open down.

4 0

3 years ago

Part 3: Find the volume of the shipping box using a volume formula. Remember to include units.

dezoksy [38]

Answer:

5x4x3=60

Step-by-step explanation:they are because when you simplify they are the same

4 0

3 years ago

What is the greatest common factor of 7ab and 8b^3

Vlad [161]

Answer:

Step-by-step explanation:

The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.

7ab has factors 7, a, b

$8b^3$ has factors 2, 4, 8, b, b, b

These share in common b.

3 0

3 years ago

6x+4=45 find the value of x​

6x+4=45 find the value of x