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Basile [38]
3 years ago
5

Peter is trying to set a new record for pizza deliveries. His previous record is 20 pizzas in one hour. He has already delivered

2 pizzas in 5 minutes. How many pizzas will he need to average per minute to beat his previous record?
Write and solve the inequalitiy
Mathematics
1 answer:
Arlecino [84]3 years ago
5 0
We know that
<span>Peter has already delivered </span><span> 2 pizzas in 5 minutes
so
1 hour-------> 60 minutes
</span><span>time left------> 60 minutes - 5 minutes--------> 55 minutes 

</span>pizzas to deliver to beat his previous record----------> 20-2------> 18 pizzas

therefore
in the next 55 minutes

if the

<span>average per minute = (18/55) pizzas /minute
</span>Pete beat his previous record
<span>
 </span>average per minute  > (18/55) pizzas /minute
Pete overcome the previous record

 average per minute  < (18/55) pizzas /minute
Pete will not match the previous record
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6q

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Given sintheta =7/11 and sectheta is less than 0, find costheta and tantheta
Korvikt [17]

Answer:

Step-by-step explanation:

Sin theta is the ratio of side opposite over hypotenuse of a reference angle situated at the origin in an x-y coordinate plane.  If sec theta is negative, then the only quadrant where sin is positive AND sec is negative is quadrant 2.  Remember that sec theta is the inverse of cos theta.  Puttling our right triangle in QII, the side measuring 7 is across from the angle and the hypotenuse is 11.  In order to find the cos theta and tan theta, we need the side adjacent to the angle.  Use Pythagorean's Theorem to find the side adjacent.

11^2=7^2+x^2 and

121=47+x^2 and

72=x^2 so

x=6\sqrt{2}

Remember that this value is why the sec is negative.  Because x is negative in QII, the cos theta is side adjacent over hypotenuse:

cos\theta=-\frac{6\sqrt{2} }{11}  and

tan\theta=-\frac{7}{6\sqrt{2} }

But we should probably rationalize that denominator, so

tan\theta=-\frac{7}{6\sqrt{2} }*\frac{\sqrt{2} }{\sqrt{2} } =-\frac{7\sqrt{2} }{12}

5 0
3 years ago
The sum of twice a number and seven is equal to the sum of a number and six. find the number
Ber [7]

<u>The number is -1</u>

-

Steps:

2x + 7 = x + 6 (Sum of twice a number and 7 is equal to sum of the number and 6.)

2x = x - 1 (Subtracted 7 from both sides.)

x = -1 (Subtracted x from both sides.)

-

Hope this helped :)

3 0
3 years ago
A man on a diet is losing four-tenths of a kilogram each day. How many days will it take him to lose 3.2 kilograms?
Alborosie

so he's losing 4/10 of a Kg daily, how many times will that equal 3.2 Kgs? namely how many times does 4/10 go into 3.2?

well, let's firstly convert 3.2 to a fraction, and then divide.

\bf \stackrel{\textit{1 decimal}}{3.\underline{2}}\implies \cfrac{32}{\underset{\textit{1 zero}}{1\underline{0}}}\implies \cfrac{16}{5} \\\\[-0.35em] ~\dotfill

\bf \cfrac{16}{5}\div \cfrac{4}{10}\implies \cfrac{16}{5}\div \cfrac{2}{5}\implies \cfrac{\stackrel{8}{~~\begin{matrix} 16 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 8

3 0
3 years ago
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