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3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

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How many different lunch combinations can be made from two sandwich choices, three item choices, and three beverage choices if y

Scrat [10]

Okay,
I could make 18 different combinations, and the answer will be C by multiplying:
2×3×3=18 different lunch combination. Hope it help!

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3 years ago

Do the points A(1,3) B(4,2) C(-2,4) lie on the same line? Explain your answer. Show all work.

Jet001 [13]

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Further explanation:

There are two methods to find if the given points are on same line

The slope method: If the points are on same line the slopes of two pairs of points will be same
Area of triangle method

Given points are:

A(1,3) B(4,2) C(-2,4)

We will find the slope of AB, BC, and AC

So,

$m=\frac{y_2-y_1}{x_2-x_1}$

$Slope\ of\ AB=\frac{2-3}{4-1} \\=-\frac{1}{3}$

$Slope\ of\ BC=\frac{4-2}{-2-4}\\ =\frac{2}{-6}\\=-\frac{1}{3}$

$Slope\ of\ AC= \frac{4-3}{-2-1} \\=-\frac{1}{3}$

We can see that

$Slope\ of\ AB=Slope\ of\ BC=Slope\ of\ AC$

The given points are on same line.

Keywords: Slope, Co linear points

Learn more about slope at:

#LearnwithBrainly

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3 years ago

2. The cone has a radius of 30 mm and slant height of 34 mm. What is the height h for this cone?

Flura [38]

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

$\sqrt{r^2+h^2}$

34 = $\sqrt{30^2 + h^2}$

$34^2 = 30^2 + h^2$

$1156 = 900 + h^2$

$256 = h^2$

$h = \sqrt{256}$

$h = 16$

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3 years ago

Can a denominator be negative in rational number?

SpyIntel [72]

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2 years ago

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Elodia [21]

Answer:

You are rocking this... This is correct! :D

Step-by-step explanation:

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2 years ago

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