In 36 days a girl spent 18 dollars. On average, what did she spend daily?

Answers

Answer 1
Answer: On average, she spent 18/36 = 0.5$

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An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion of the y-axis?n = 3
n = 4
n = 5
n = 6

Answers

Answer:  

n = 3

Step-by-step explanation:

The terminal side of an angle fall along the positive portion of the y-axis,

If it can written in the form of (90°)a

Where a is any positive odd integer,

Here, the given angle is,

(870n)°,

For n = 3,

Our angle will be 2610°

Its terminal side fall along the positive portion of the y-axis,

If 2610° = (90°)a ⇒ a = 29 ( Positive odd integer )

Thus, for n = 3,  the terminal side of the angle (870n)° falls along the positive portion of the y-axis,

For n = 4,

Our angle will be 3480°

Its terminal side fall along the positive portion of the y-axis,

If 3480° = (90°)a ⇒ a = 38.6667 ( Not possible )

Thus, for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis

For n = 5,

Our angle will be 4350°

Its terminal side fall along the positive portion of the y-axis,

If 4350° = (90°)a ⇒ a = 48.333.. ( Not possible )

Thus, for n = 5,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,

For n = 6,

Our angle will be 5220°

Its terminal side fall along the positive portion of the y-axis,

If 5220° = (90°)a ⇒ a = 58 ( Not possible )

Thus, for n = 6,  the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.

The answer would be n=3

Solve the following three variable system. 2x + 3y + 4z = 9
-x + 2y - z = 0
-2x + 4y + z = 3

Answers

1)\ \ \ 2x + 3y + 4z = 9\n2)\ \ \ -x + 2y - z = 0\n3)\ \ \ -2x + 4y + z = 3\n===================================\n3)\ \ \ -2x + 4y + z = 3\ \ \ \Rightarrow\ \ \ z=2x-4y+3\n\n1)\ \ \ 2x + 3y + 4z = 9\ \ \ \Rightarrow\ \ \ 2x + 3y + 4(2x-4y+3) = 9\n2x+3y+8x-16y+12=9\n10x-13y=-3\n\n2)\ \ \ -x + 2y - z = 0\ \ \ \Rightarrow\ \ \ -x+2y-(2x-4y+3)=0\n-x+2y-2x+4y-3=0\n-3x+6y=3\ /:(-3)\nx-2y=-1\ \ \ \Rightarrow\ \ \ x=2y-1\n\n

1)\ \ \ 10x-13y=-3 \ \ \ \Rightarrow\ \ \ 10(2y-1)-13y=-3\n20y-10-13y=-3\n7y=7\ /:7\ \ \ \Rightarrow\ \ \ y=1\n\n2)\ \ \ x=2y-1\ \ \ \Rightarrow\ \ \ x=2\cdot2-1=1\n\n3)\ \ \ z=2x-4y+3\ \ \ \Rightarrow\ \ \ z=2\cdot1-4\cdot1+3=2-4+3=1\n\nAns.\ x=y=z=1

Uan Ramirez sells suits in a major department store on weekends. He earns a commission of 5% on the first 10 suits he sells. If he sells more than 10, he earns another 3% on the additional suits. Last weekend Juan sold 13 suits priced at $250 each. What was his commission? A. $185.00
B. $147.50
C. $260.00
D. $210.40

Answers

It is A, $185. Because (10 suits x $250 = $2500 x 5%= $125) + (3 suits x $250 = $750 x 8% = $60.00) = $185.00 :)

Can someone please explain each step in solving this?

Answers

m(<Q) = 90; m(<P) = 12; m(<x) = 180 - 90 - 12 => m(<x) = 78.    a.


m(,q) 90

m(,p) 12

m(,x) 180-90-12

Which set of sides will make a triangle?10cm, 5cm, 9cm
10cm, 3cm, 4cm
1cm, 3cm, 1cm
5cm, 2cm, 3cm

Answers

Answer:

10cm 5cm and 9cm

Step-by-step explanation:

just try this

take any two measurements and add them together if they are larger than the 3rd measurement it will work and all you have to do is do that to each measurement

10+5 is greater than 9

9+5 is greater than 10

9+10 is greater than 5

How to factor a quadratic equation y=-2x^2+8x-6

Answers

first factor out that -2
y=-2(x^2-4x+3)
what 2 number muitply to 3 and add to -4
-1 and -3
y=-2(x-3)(x-1)