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Greeley [361]
3 years ago
9

If y varies directly with x, and x=21 and y=14, what is the equation that represents this variation?

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

since 14 is 2/3's of 21 the equation would be y=2/3x

You might be interested in
(a) Work out the reciprocal of 1.25
Oxana [17]

Answer:

0.8 OR \frac{4}{5}

Step-by-step explanation:

The reciprocal of any number is the number that it multiplies by to equal 1.

The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.

E.g.

No. X/Y * Y/X (its reciprocal) = 1

\frac{x}{y} *\frac{y}{x} =\frac{xy}{xy} =1

So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.

1.25 = 125/100

\frac{125/25}{100/25}=\frac{5}{4}

Now we just flip 5/4 to get our reciprocal:

\frac{4}{5} = 0.8

Test: 0.8 * 1.25 = 1

The reciprocal of 1.25 (\frac{5}{4}) is 0.8 (\frac{4}{5}).

Hope this helped!

8 0
2 years ago
Write the following quadratic in vertex form X^2-10x+7
grin007 [14]
Hello,

y=x²-10x+7=x²-2*5x+25-25+7=(x-5)²-18
================================
5 0
3 years ago
Every evening jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she
gulaghasi [49]
26-28 I think although I'm not 100% sure
5 0
3 years ago
an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.
nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

  • height, h = apothem of the hexagon = 2 cm and
  • base, b = length of shorter base of trapezoid.
<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0
2 years ago
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?
ozzi
The answer is 90%. You get this answer by multiplying both the numerator and denominator by 5 so 18x5=90 and 20x5=100 giving you a fraction of 90/100 and a percentage of 90%.
8 0
3 years ago
Read 2 more answers
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