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3 years ago

Which answer expresses the ratio as a fraction in simplest form?

1 answer:

7 0

First we need to find the gcf (greatest common factor) of 18 and 24

in this case it would be 6, since it’s the highest number you can divide both 18 and 24 by without leaving you with a remainder

then we divide both 18 and 24 by 6, leaving you with 3/4

hope i helped!

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Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

$-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)$

<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

$2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10$

<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

3 0

1 year ago

Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them

Semenov [28]

Answer: The required expression will be

$\frac{6000-p}{24}$

Step-by-step explanation:

Since we have given that

Amount that Liam has = $250

Amount that he and his classmates spent on present for their teacher =$p

Number of students in which $p will split = 24

According to question,

Amount that left to Liam is given by

$250-\frac{p}{24}\\\\=\frac{6000-p}{24}$

Hence, the required expression will be

$\frac{6000-p}{24}$

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3 years ago

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Lyrx [107]

Answer & Explanation:

A stem and leaf plot is used to organize data as they are collected. A stem and leaf plot looks something like a bar graph. Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.

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3 years ago

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What is the rate of change for the linear relationship modeled in the table? (4 points)

lozanna [386]

Answer:

-1/2

Step-by-step explanation:

In a linear relationship, the rate of change of one variable with respect to the other is <em>constant</em>. When we talk about <em>change</em>, we're looking for a <em>difference</em> of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the <em>rate of change </em>is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the <em>slope</em>, is Δy/Δx. So, using the values we've already found:

$\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2$

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3 years ago

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At a college, the cost of tuition increased by 10%. Let t, represent the former cost of the tuition. What is the new cost of tui

viva [34]

The answer if I have come up with is t = t/10

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