Lily baked 13 pies to serve at 2 different parties.

Mathematics

1 answer:

Anna35 [415]4 years ago

4 0

She can serve 6 WHOLE pies at each party

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A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The r

ohaa [14]

Answer:

$b=2\frac23\:\sf ft$

Area of triangle = 4 ft²

Area of rectangle = $6\frac23\: \sf ft^2$

Area of irregular figure = $10\frac23\: \sf ft^2$

Step-by-step explanation:

$\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}$

$\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}$

$\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}$

$\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}$

5 0

2 years ago

Read 2 more answers

Hailey participated in a swim-a-thon. She got 8 donors to equally contribute money. Hailey raised a total of $2,820. If each don

love history [14]

Answer: Each donor donated $70.5 per lap.

Step-by-step explanation:

1. If she got 8 donors and each one of them sponsored 5 laps, then the total number of laps was:

$(8)(5)=40$ laps

2. Hailey raised a total of $2,820, therefore, you can calculate the amount of money donated by each donor (which you can call $x$ ) by dividing $2,820 by 40 laps, as you can see below: