An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?

Mathematics

1 answer:

8090 [49]3 years ago

3 0

Answer:

0.45

Step-by-step explanation:

Step 1:

$\frac{8}{0.3} =\frac{12}{x}$

Step 2:

8 · x = 0.3 · 12

8x = 3.6

Last Step: Divide both sides by 8 to isolate the value x

You might be interested in

If the point is (-4,2) what the reflection over y=x

DiKsa [7]

Answer:

(2,-4)

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

6 0

2 years ago

PLEASE HELP QUICK

ZanzabumX [31]

y = 150(8 x 12)

y = 14,400

The store ordered a total of 14,400 ounces of soap.

4 0

3 years ago

Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line

Dovator [93]

bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{1}\implies 2}}$

so, we're really looking for the equation of a line whose slope is 2, and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=2(x-0)\implies y=2x$