If the distance is above 275 and the time is 7 hrs What is kerri's speed?

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

Kerri's speed would be 39.29mph

Step-by-step explanation:

In order to find this, we just need to divide the distance by the time.

275miles/7hrs = 39.29mph

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A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o

MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

$A=\pi(3)^2=9\pi$

For the pizza of 12 inch

$A=\pi(6)^2=36\pi$

Number calories in a 6-inch pizza = 640 calories, therefore:

$\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}$

Substitute:

$\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}$

And solve for x:

$\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}$

Now, Estimate the number of calories in one slice of a 12 inch pizza:

$\frac{2560}{8}=320$

Answer: 320 calories

4 0

1 year ago

How do I solve this

Alina [70]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\sum \limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio} \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8$