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Ainat [17]
3 years ago
11

The total cost of a jacket and a pair of pants was $66.12. If the price of the jacket was $3.26 less than the pair of pants, wha

t was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.
Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Answer:

The price of the jacket was $31.43

Step-by-step explanation:

Let the cost of a jacket = x

Let the cost of a pair of pants = y

Such that,

x + y = $66.12.........Equation 1.

From the conditional statement,

x = y - $3.26..........Equation 2.

Solve both equations simultaneously, using the substitution method

From Equation 2;

x = y - 3.26

Substitute y - 3.26 for x in Equation 1.

x + y = 66.12, now becomes,

y - 3.26 + y = 66.12

collect like terms

y + y = 66.12 + 3.26

2y = 69.36

y= 69.36/2 = $34.69.

Put y = $34.69 in Equation 2. to obtain x

x = 34.69 - 3.26

x = $31.43

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Please help me I will give BRAINLIST and a like :))))
Vlada [557]

Answer:

18.75%

Step-by-step explanation:

Hello,

3 students are both female and senior

the total number of students is 7+10+8+5=30

so the probability to select one female senior is 3/30=1/10=0.10

probability to select one female is 16/30=16/30

probability that the student is a senior given that it's female is

=P(female and senior)/P(female)

=1/10*30/16=3/16

hope this helps

5 0
3 years ago
Read 2 more answers
J'K'L'M' is a translation of JKLM by vector (-6/2). What are the coordinates of K'? What are the coordinates of M'?
pochemuha

By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

<h3>How to apply a translation to a point on a Cartesian plane</h3>

<em>Rigid</em> transformations are transformations applied onto <em>geometric</em> loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of <em>rigid</em> transformations, whose formula is defined by the following expression:

P'(x, y) = P(x, y) + \vec v     (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • \vec v - Translation vector

If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and \vec v = (-6, 2), then the coordinates of points K' and M' are:

Point K'

K'(x, y) = (4, 1) + (-6, 2)

K'(x, y) = (-2, 3)

Point M'

M'(x, y) = (2, -1) + (-6, 2)

M'(x, y) = (-4, 1)

By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).

To learn more on translations: brainly.com/question/17485121

#SPJ1

7 0
1 year ago
Find the angles please please
IceJOKER [234]
Angle BAC
cosφ⁻¹ = (10² + 17² - 11²)/(2*10*17) = 37.9 ≈ 38°
Angle ACB
cosφ⁻¹ = (10² + 11² - 17²)/(2*10*11) = 108.0°
Angle ABC
cosφ⁻¹ = (11² + 17² - 10²)/(2*11*17) = 34.0°
See you !
6 0
3 years ago
If 2/6 means 2 / n what is the value of n ​
klemol [59]

Answer:

The value of n is 6.

hope it works

6 0
3 years ago
Read 2 more answers
3. Hi
butalik [34]

Answer:

D. linear; y = – 3x –6

Step-by-step explanation:

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

y_{2}-y_{1}=-9-(-6)

          = -3

y_{3}-y_{2}=-12-(-9)

          = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-9+6}{1-0} = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answer: The correct answer is c

Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6

Answer:

exponential; y = –6 • 1.5x

Step-by-step explanation:

1.5 x 1 = 1.5

1.5x-6= -9

5 0
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