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3 years ago

When solving for y in a equation what is the answer to 5x-3y=21

Mathematics

2 answers:

inysia [295]3 years ago

8 0

Answer:

You first subtract 5x from both sides and end up with -3y=21-5x. In order to isolate the variable you need to divide -3 from both sides. Your equation would then be y= -7+ 5/3x.

Step-by-step explanation:

masha68 [24]3 years ago

4 0

Answer:

y=53x-7

Step-by-step explanation:

5x-3y=21

-3y=-5x+21

divide by 3

y=5/3x-7

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a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still

Ghella [55]

Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.

keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

$\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c$

what is the speed of the boat? well, 61 + c = b.

6 0

3 years ago

What is the measure of arc WXY

bonufazy [111]

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent $\overleftrightarrow{YZ}$ and WY is secant or chord of the $\odot J$ .

$\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\$

NOW, by tangent secant theorem:

$m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}$

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3 years ago

What is the measure of the missing angle?<br> 40<br> 90

Lyrx [107]

Answer:

50°

Step-by-step explanation:

I am assuming that the shape is a right triangle.

All interior angles of a triangle add up to 180°.

$x + 40 + 90 = 180\\\rule{150}{0.5}\\x + 130 = 180\\\\x + 130 - 130 = 180 - 130\\\\\boxed{x = 50}$

The missing angle should be 50°.

Hope this helps.

8 0

3 years ago

Read 2 more answers

What is an example of when you would use a frequency table to solve a problem

olga55 [171]

So you would use a frequency table when they are asking for how many times does this come in to the play. For example , let's say there was a play and 2 different characters we're in it the cat came out 3 times and the the dog came out 5 times. Which character came out more times.

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3 years ago

What is the median of the lengths of Kate's workout

Alik [6]

Arranging them in ascending order :
21 , 21 , 30 , 44, 49, 52

Median = (30 + 44) ÷ 2
Median = 37 mins

------------------------------------------------------------------
Answer: Median = 37 mins (Answer D)
------------------------------------------------------------------

4 0

3 years ago

When solving for y in a equation what is the answer to 5x-3y=21​

When solving for y in a equation what is the answer to 5x-3y=21