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weqwewe [10]
1 year ago
8

What is the value of y in the equation 5x + 2y =20 , when x = 0.3

Mathematics
2 answers:
Burka [1]1 year ago
8 0

To solve this equation, we must substitute in 0.3 for the value of x and then solve the equation for y.

5(0.3) + 2y = 20

To simplify, we begin by multiplying the two numbers on the left side of the equation.

1.5 + 2y = 20

Next, we should subtract 1.5 from both sides of the equation to get the variable term alone.

2y = 18.5

Finally, we should divide both sides of the equation by 2 in order to get the variable y completely alone on the left side of the equation.

y = 9.25

Therefore, the value of y is 9.25.

Hope this helps!

Alex_Xolod [135]1 year ago
8 0
5x + 2y = 20
5 X 0.3 + 2y = 20
1.5 + 2y = 20
2y = 20 - 1.5
2y = 18.5
y = 18.5/2
y = 9.25

The value of y is 9.25
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General Idea:

The relationship between rate(R), distance(D) and time(T) given below:

R= \frac{D}{T}

Applying the concept:

We need to make use of the formula to find Kelly's walking rate before and after her snack

Kelly \; Walking \; Rate \; before \; Snack:\\Distance \div Time = \frac{1}{4}  \div \frac{1}{14}  =  \frac{1}{4}  \times \frac{14}{1}  = \frac{14}{4}  = \frac{7}{2}  =  3 \frac{1}{2} \;   miles \; per \; hour\\\\Kelly \; Walking \; Rate \; after \; Snack:\\Distance \div Time = \frac{1}{6}  \div \frac{1}{16}  =  \frac{1}{6}  \times \frac{16}{1}  = \frac{16}{6}  = \frac{8}{3}  =  2 \frac{2}{3} \;   miles \; per \; hour\\\\

Option A isn't correct because before snack Kelly walking rate is not 4/14 miles per hour.

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

Option C isn't correct because it doesn't took Kelly 2 hours longer to walk 1/6 mile than it did for her to walk 1/4 mile.  It took 1/112 hour longer.

\frac{1}{14}  - \frac{1}{16}  = \frac{1 \cdot 8}{14 \cdot 8}  - \frac{1 \cdot 7}{16 \cdot 7}  =  \frac{8}{112} - \frac{7}{112}  = \frac{1}{112}

Option D isn't correct because 2 2/3 miles per hour is slower than 3 1/2 miles per hour.

Conclusion:

Option B is <u>Correct,</u> Kelly walking rate after snack is 2 2/3 miles per hour.

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<u>ANSWER: </u>

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