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3 years ago

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Please help me 100 points

1 answer:

ValentinkaMS [17]3 years ago

6 0

Answer:

p=6 Q=5 R=6

Step-by-step explanation:

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In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell

satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

The equivalent multiplier for an increase of a% is given by: $\frac{100 + a}{100}$

The equivalent multiplier for an decrease of a% is given by: $\frac{100 - a}{100}$

In this problem:

The price at the beginning of January was of a.

Increase of 20% in January, hence $1.2a$ .

Decrease of 20% in February, hence $1.2(0.8)a$ .

Increase of 25% in March, hence $1.2(0.8)(1.25)a$ .

Decrease of x% in April, hence $1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

$a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a$

$1.2\left(\frac{100 - x}{100}\right) = 1$

$\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}$

$\frac{100 - x}{100} = 0.8333$

$100 - x = 83.33$

$x = 16.67$

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0

3 years ago

Which function is equivalent to

katrin [286]

J Is the answer, (x+6)(x-3) is the equivalent

6 0

3 years ago

Find the equation of ellipse passing throgh (1,4) and (-3,2)

irinina [24]

Answer:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

Step-by-step explanation:

we want to figure out the ellipse equation which passes through <u>(</u><u>1</u><u>,</u><u>4</u><u>)</u><u> </u>and <u>(</u><u>-</u><u>3</u><u>,</u><u>2</u><u>)</u>

the standard form of ellipse equation is given by:

$\displaystyle \frac{(x - h {)}^{2} }{ {a}^{2} } + \frac{(y - k {)}^{2} }{ {b}^{2} } = 1$

where:

(h,k) is the centre
a is the horizontal redius
b is the vertical radius

since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

$\displaystyle \frac{ {x}^{2} }{ {a}^{2} } + \frac{{y}^{2} }{ {b}^{2} } = 1$

substituting the value of x and y from the point (1,4),we'd acquire:

$\displaystyle \frac{ 1}{ {a}^{2} } + \frac{16}{ {b}^{2} } = 1$

similarly using the point (-3,2), we'd obtain:

$\displaystyle \frac{ 9}{ {a}^{2} } + \frac{4 }{ {b}^{2} } = 1$

let 1/a² and 1/b² be q and p respectively and transform the equation:

$\displaystyle \begin{cases} q + 16p = 1 \\ 9q + 4p = 1 \end{cases}$

solving the system of linear equation will yield:

$\displaystyle \begin{cases} q = \dfrac{3}{35} \\ \\ p = \dfrac{2}{35} \end{cases}$

substitute back:

$\displaystyle \begin{cases} \dfrac{1}{ {a}^{2} } = \dfrac{3}{35} \\ \\ \dfrac{1}{ {b}^{2} } = \dfrac{2}{35} \end{cases}$

divide both equation by 1 which yields:

$\displaystyle \begin{cases} {a}^{2} = \dfrac{35}{ 3} \\ \\ {b}^{2} = \dfrac{35}{2} \end{cases}$

substitute the value of a² and b² in the ellipse equation , thus:

$\displaystyle \frac{ {x}^{2} }{ \dfrac{35}{3} } + \frac{{y}^{2} }{ \dfrac{35}{2} } = 1$

simplify complex fraction:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

and we're done!

(refer the attachment as well)

8 0

3 years ago

Yoshi saved $5 each week for 23 weeks. What is the total amount of money he saved. Use an area model to solve

Savatey [412]

If Yoshi saves $5 dollars each week for 23 weeks he will have $115

5 0

3 years ago

I WILL GIVE BRAINLIEST + 8 POINTS IF YOU PLOT THE POINTS ON THE GRAPH!!!

Strike441 [17]

Answer:

Table 1: First attatchment. Table 2: Second Attatchment.

Step-by-step explanation:

6 0

3 years ago