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Irina-Kira [14]
3 years ago
7

Which ordered pair is a solution to the equation 3x-3y=21

Mathematics
2 answers:
guapka [62]3 years ago
5 0
The equation can be simplified: x-y=7
So y=x-7. So only answer option 2 fits the equation (5,-2)
katovenus [111]3 years ago
3 0
The answer would be (5, -2). This is because when you plug in the respective values in for x and y into the equation 3x - 3y = 21, you get 21, which is the desired answer.
3x - 3y = 21
3(5) - 3(-2) = 21
15 + 6 = 21
21 = 21 
Hope this helped!
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Answer:

7 gummy bears

Step-by-step explanation:

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3 years ago
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A man on the deck of a ship is 14 ft above water level. He observes that the angle of elevation of the top of a cliff is 40 degr
topjm [15]

Answer:

The distance of the ship from the cliff is 38.465 feet

The height of the cliff is 46.28 feet.

Step-by-step explanation:

As shown in the figure attached d is the distance from the ship to the cliff, and h is the height of the cliff from the ship.

From trigonometry

tan(20^o)=\frac{14}{d}

d=\frac{14}{tan(20^o)}=38.465\:feet.\\\\\boxed{d=38.465ft}

This is the distance to the cliff.

And we have

tan(40^o)=\frac{h}{d}

since d=38.465ft

h=d*tan(40^o)=38.465*tan(40^o)=32.28ft

Ad the height of the cliff is just 14+h or

32.28+14=46.28 ft\\\\\boxed{height=46.28ft}

Which is the height of the cliff.

4 0
3 years ago
Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mp
IrinaVladis [17]

Answer:

\dfrac{1}{6} hour or 10 minutes

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x=10\cdot t

Jen:

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pickupchik [31]
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A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4443.48\\
P=\textit{original amount deposited}\to& \$2567\\
r=rate\to r\%\to \frac{r}{100}\\
t=years\to &17
\end{cases}
\\\\\\
4443.48=2567(1+r17)\implies \cfrac{4443.48}{2567}=1+17r
\\\\\\
\cfrac{4443.48}{2567}-1=17r\implies \cfrac{\frac{4443.48}{2567}-1}{17}=r\implies 0.043\approx r
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5 0
3 years ago
Given m
kenny6666 [7]

Answer:

<h2>x = 145°, y = 35°</h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

m || n

<em><u>So</u></em><em><u>,</u></em>

35° = y° <em>[</em><em>Alternate</em><em> </em><em>interior</em><em> </em><em>angles</em><em>]</em>

<em>And</em><em>,</em>

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=> x + 35 = 180

=> x = 180 - 35

=> x = 145°

<em><u>Hence</u></em><em><u>, </u></em>

<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>145</u></em><em><u>°</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em><em><u>°</u></em>

6 0
3 years ago
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