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3 years ago

What is the percent of change of 24 songs to 78 songs

1 answer:

3 0

Subtract 24 to 78. Divide the answer by 24. Multiply it by 100. So the final answer is 225%.
We have a starting value of 24. In order to reach 78, we need to multiply a number to 24 and add it to 24.
Making the equation 24 + 24P = 78.
Transpose 24 to the other side, you’ll get 24P = 78--24.
24P=54.
Divide both sides by 24, you’ll get P = 2.25
Multiply 2.25 by 100 to get the percentage.
So, you’ll get the final answer 225%

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At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

kakasveta [241]

Answer:

x<1

Step-by-step explanation:

6 0

2 years ago

Please help me with this thanks

Ronch [10]

If x = 1, then 3*1 = 3 which when modded with 5, we get 3 as a remainder. In other words, 3/5 = 0 remainder 3. We don't use the quotient at all when it comes to modular arithmetic. All we care about is the remainder.

If x = 2, then 3*2 = 6 which leads to remainder 1 when we divide by 5. Therefore, 3x = 1 (mod 5) when x = 2.

If x = 3, then 3*3 = 9 = 4 (mod 5) because 9/5 = 1 remainder 4.

So 3x = 4 (mod 5) when x = 3.

<h3>The final answer is C) 3</h3>

We don't need to check D since x = 3 is a solution and it's smaller than x = 4.

If you wanted to check x = 4, then 3*4 = 12 = 2 (mod 5) because 12/5 yields a remainder of 2.

7 0

2 years ago

The quotient of the sum of 2t and 2 and twice the cube of s

Vladimir79 [104]

The equation according to the given verbal sentence is $\frac{2 t+2}{2 s^{3}}$ (after solving this $\frac{t+1}{s^{3}}$ ).

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

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

2 t + 2

twice the cube of s

$2 s^{3}$

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,

2 t + 2 divided by $2 s^{3}$

Now, the equation would be $\frac{2 t+2}{2 s^{3}}$

When solving this equation, we get

$\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}$

8 0

3 years ago

The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find

mamaluj [8]

Answer:

$x = 10$ . In other words, there number of girls is $10$ .

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

$\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}$ .

Rewrite to obtain:

$\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}$ .

For this question:

$\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}$ .

$\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}$ .

Therefore:

$\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}$ .

On the other hand, there are $(15 + x)$ boys and girls in total. Using the formula for average:

$\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}$ .