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3 years ago

Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

pen = $1.20, pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

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Try this solution:

1. for probability of both televisions work:

$P_{2w}=\frac{C^2_8}{C^2_{10}}=\frac{7*8}{9*10}=0.6(2)$

2. for probability of at least on is defective (it means, the sum = one is defective and two are defective):

$P_{1d}=\frac{C^1_2C^1_8}{C^2_{10}}=\frac{4*8}{9*10}=0.3(5)$ - for P(1defective);

$P_{2d}=\frac{C^2_2}{C^2_{10}}=\frac{2}{9*10}=0.0(2)$ - for P(2defective);

totaly for at least one is defective:

$P_{at \ least \ 1 \ d}=P_{1d}+P_{2d}=\frac{16}{45} +\frac{1}{45} =0.3(7)$

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4 years ago

If f(x) = x2 – 2x, find:<br><br> f(6)=

creativ13 [48]

Answer:

Step-by-step explanation:

When x=6

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8 0

3 years ago

Read 2 more answers

IL<br> 8x-9<br> 5x-3<br> What’s x

shepuryov [24]

Step-by-step explanation:

8x-9=5x-3

Move any equation to the opposite side. I'll use the left this time

$8x - 8x - 9 + 9 = 5x - 8x - 3 + 9$

$0 = - 3x + 6$

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$- 3x = - 6$

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4 years ago

A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory made 35 such candles,

Llana [10]

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3 years ago

What is the equation of the circle with center (-3.2, -2.1) and radius 4.3?

Ilya [14]

The equation of the circle is : $x^{2}$ + $y^{2}$ + 6.4 $x$ + 4.2 $y$ = 3.84

<h3>Meaning of a Circle</h3>

A circle is a loci or a continuous line that equidistant from the center to any point on the line. it drawn starting from a point and ending on that same point.

The equation of a circle is an equation used to find points on a circle so the circle can be drawn with accurate measurement. it can also be used to find the missing points.

In conclusion, The equation of the circle is : $x^{2}$ + $y^{2}$ + 6.4 $x$ + 4.2 $y$ = 3.84

Learn more about equation of a circle: brainly.com/question/1506955

#SPJ1

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2 years ago