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3 years ago

3x+2y=8 how to solve

Mathematics

1 answer:

GarryVolchara [31]3 years ago

6 0

8-3x
Divide the whole thing by 2 so it would be y=4-1.5x

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

<u>Answer-</u>

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

<u>Solution-</u>

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

3 0

4 years ago

In hopes of encouraging healthier snacks at school, Bert brought in a tray of carrot sticks and apple slices to share. He brough

Oksi-84 [34.3K]

Answer:

40 % of the snacks were carrot sticks.

Step-by-step explanation:

Total number of carrot sticks in lunch = 18

Total number of apple slices in lunch = 27

So, Total Snacks in the Lunch = Carrot Sticks + Apple Slices

= 18 + 27 = 45

Now,

⇒Percentage of Carrot Sticks = 40%

Hence, 40 % of the snacks were carrot sticks.

4 0

3 years ago

What is the slope of the line that passes through the points (3,3) and (-3,-1).

ArbitrLikvidat [17]

Answer:

2/3

Step-by-step explanation:

-1 - 3 = - 4

-3 - 3 = - 6

-4/-6 = 2/3

6 0

3 years ago

Read 2 more answers

And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles

LenaWriter [7]

$\bf \begin{array}{ccll}
miles&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
8\frac{2}{3}&1\\\\
5\frac{1}{5}&h
\end{array}\implies \cfrac{8\frac{2}{3}}{5\frac{1}{5}}=\cfrac{1}{h}\implies \cfrac{\quad \frac{26}{3}\quad }{\frac{26}{5}}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}$

which is just 36 minutes.

8 0

3 years ago

How many whole numbers between 99 and 999 contain the digit '1'?

Sedbober [7]

Answer:

162

Step-by-step explanation:

The number with "1" digit starts with 101 then 110 and so on.

6 0

3 years ago

Read 2 more answers