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Galina-37 [17]
3 years ago
6

George has $23 to spend on art supplies. He wants to buy markers, paper, and glue. If the total cost of the markers and paper is

more than $14, which inequality represents the dollar amount, p, George can spend on glue?
A. p < 9
B. p > 9
C. p < 37
D. p > 37
Mathematics
1 answer:
Tasya [4]3 years ago
5 0
It’s A cuz you do 23-14 which you get 9 and it’s less that than the markers and papers
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Pedro can drive 2 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Pedro to travel 72 miles, h
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Pablo can ride his bicycle with speed of 18 miles per hour

<u>Solution:</u>

Given, Pedro can drive 2 times as fast as Pablo can ride his bicycle.  

Let the speed of Pablo be "n" miles per hour

Then the speed of the Pedro will be "2n" miles per hour

Now, If it takes Pablo 2 hours longer than Pedro to travel 72 miles,  

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<em><u>The formula for speed is given as:</u></em>

\text { distance }=\text { speed } \times \text { time }

Let the time taken by Pedro to travel 72 miles be "t" hours, then time taken by Pablo will be "t + 2" hours

<em><u>In case of Pablo:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times (t+2) \text { hour }} \\ {\rightarrow 72=n \times(t+2) \rightarrow(1)}\end{array}

<em><u>In case of Pedro:</u></em>

\begin{array}{l}{72 \text { miles }=\text { speed } \times \text { thours }} \\ {\rightarrow 72=2 n \times t \rightarrow(2)}\end{array}

Then, equate both (1) and (2)

\begin{array}{l}{n \times(t+2)=2 n \times t} \\\\ {\rightarrow t+2=2 \times t} \\\\ {\rightarrow t+2=2 t} \\\\ {\rightarrow 2 t-t=2} \\\\ {\rightarrow t=2}\end{array}

Now, substitute t = 2 in (2)

\begin{array}{l}{\rightarrow 72=2 n \times 2} \\\\ {\rightarrow 72=4 n} \\\\ {\rightarrow n=18}\end{array}

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3 years ago
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Irina18 [472]

Answer:

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Step-by-step explanation:

The slope-intercept form of an equation of a line:

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<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>

<em />

The fromual of a slope:

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