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3 months ago

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

Mathematics

2 answers:

Svet_ta [12.7K]3 months 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

Thus, y equals 9.25

AnnZ [12.3K]3 months ago

8 0

To solve this equation, firstly substitute 0.3 for x and then work out y.

5(0.3) + 2y = 20

We’ll start by multiplying the numbers on the left side.

1.5 + 2y = 20

The next step involves subtracting 1.5 from both sides to isolate the variable.

2y = 18.5

Finally, we divide each side by 2 to solve for y completely.

y = 9.25

Thus, the resulting value for y is 9.25.

I hope this assists!

Greetings!

The conclusion is:

The return trip will take 18 hours.

Reasoning:

To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.

The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

$x=x_o+v*t\\\\x=0+15mph*6hours=90miles$

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

$Distance=v*t\\\\t=\frac{Distance}{v}=\frac{90miles}{5mph}=18hours$

Consequently, the return trip will take 18 hours to complete.

Have a nice day!

5 0

2 months ago

A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three int

Inessa [12570]

An acute triangle is defined as one in which all angles are acute. An acute angle is defined as having a degree measurement of less than 90. Thus, Charlene's definition is valid.

4 0

2 months ago

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, star

AnnZ [12381]

Answer: Step-by-step explanation: Provided Required Identify the depth of the aquarium. Volume is computed as follows: Substitute values for Volume, Length, and Width. Solve for Depth. Therefore, the depth is 14cm.

3 0

2 months ago

The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width

lawyer [12517]

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\\ given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \\is \; 61cm \; more \; than \; the \; length\\\\Width \; = \; 61+x\\\\Statement \; 2: \; The \; perimeter \; is \; 406cm\\\\Perimeter=2(Length+Width)\\Perimeter =2(x+61+x)\\\\So \; the \; mathematical \; equation \; would \; be \\ 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \\ undoing \; whatever \; is \; done \; x.\\\\2(x+61+x)=406\\Group \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\\\\2(2x+61)=406\\Distribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\\\\4x+122=406\\Subtract \; 122 \; on \; both \; sides\\\\4x+122-122=406-122\\Simplify \; on \; both \; sides\\\\4x=284\\Divide \; on \; both \; sides\\\\\frac{4x}{4}=\frac{284}{4}\\Simplify \; fractions \; on \; both \; sides\\\\x=71$

$Conclusion:\\Length=x=71cm\\Substituting \; 71 \; for \; x \; and \; find \; Width \; value.\\Width=61+x=71+61=132cm\\\\Length \; is \; 71 cm \; and \; Width \; is 132cm$

5 0

2 months ago