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2 years ago

Jaerd made 12 3/4 cups of snack mix for a party. His guest ate 2/3 of the mix. How much snack did his guest eat

Mathematics

2 answers:

levacccp [35]2 years ago

8 0

Answer:

$\large \boxed{8\frac{1}{2}\text{ cups}}$

Step-by-step explanation:

$\begin{array}{lcll}12\frac{3}{4} \times \dfrac{2}{3} & = & \dfrac{51}{4} \times \dfrac{2}{3} & \text{Converted the mixed number to an improper fractions}\\\\& = & \dfrac{17}{4}\times 2& \text{Cancelled the 3s}\\\\& = & \dfrac{17}{2}& \text{Cancelled the 2s}\\\\& = &\mathbf{8\frac{1}{2}} & \text{Converted the improper fraction to a mixed number}\\\\\end{array}\\\text{Jared's friend ate $\large \boxed{\mathbf{8\frac{1}{2}}\text{ cups}}$ of snack mix}$

77julia77 [94]2 years ago

5 0

Answer:

8 1/2 cups

Step-by-step explanation:

12 3/4 divided by 3= 4 1/4 times 2 = 8 2/4 = 8 1/2

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Sixty percent of the runners who ran the marathon finished the race. If fifteen runners finished, then how many runners ran in t

ZanzabumX [31]

Let they be x

$\\ \rm\Rrightarrow 60\%\: of\:x=15$

$\\ \rm\Rrightarrow \dfrac{3}{5}x=15$

$\\ \rm\Rrightarrow x=15\times \dfrac{5}{3}$

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4 0

1 year ago

Maru [420]

First, we have to understand the slope-intercept form.

$\large \boxed{y = mx + b}$

A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.

In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.

Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.

As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.

Therefore, substitute m = 5 and b = -6 in the equation.

$\large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}$

I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!

5 0

2 years ago

In a given amount of time, Jamie drove four times as far as Rhonda. Altogether they drove 125 miles. Find the number of miles dr

lbvjy [14]

Answer:

Step-by-step explanation:

Theres a ratio of 1:4

Where Jamie has driven 4 times as much as Rhonda

meaning that you can plug in values, 1:4=125

the 4 represents Jamie since she drove farther than rhonda

Rhonda drove 25 miles, and Jamie drove 100 miles

25(4)+25=124