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horsena [70]
3 years ago
7

A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of p

assengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

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The marked price of a water cooler is $ 500. The shopkeeper offers an off-season discount of 15% on it. Find the discount.
Fittoniya [83]

Answer:

75 dollars

Step-by-step explanation:

You know that 500=100%, so we can set up the following

15%(500/100%) = 75

so the discount 75 dollars

5 0
3 years ago
Please need help with this
Alex787 [66]

So first we need the formula for a triangular prism

v = ( \frac{1}{2} bh)h

Which, since we have all of our number for base, and both heights, we can plug it intk our formula

v =  (\frac{1}{2}  \times 15 \times 8) \times 17

When we calculate it, it comes out to be 1020 cubuc feet.

8 0
3 years ago
Read 2 more answers
Triangle XYZ with vertices X(0, 0), Y(0, –2), and Z(–2, –2) is rotated to create the image triangle X'(0, 0),
asambeis [7]

Answer:

The answer is R0, 90° and (x , y) → (-y , x) ⇒1st and 4th

Step-by-step explanation:

* Lets revise the rotation rules

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

 (+90° or -270°)

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

 (-90° or +270°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

 (+180° or -180°)

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or  

  anti-clockwise around the origin

* Lets solve the problem

∵ Δ XYZ has vertices⇒ X (0 , 0) , Y (0 , -2) , Z (-2 , -2)

∵ Δ X'Y'Z' has vertices X' (0 , 0) , Y' (2 , 0) , Z' (2 , -2)

* From them

# Y = (0 , -2) and Y' = (2 , 0), that means the image is (-y , x)

# Z = (-2 , -2) and Z' = (2 , -2), that means the image is (-y , x)

∴ The rotation is around the origin with angle 90° anti-clockwise

<em>V.I.N: </em>Anti-clock wise means positive angle , clockwise means

negative angle (90° means anti-clockwise , -90° means clockwise)

∴ The answer is: R0, 90° and (x , y) → (-y , x)

3 0
3 years ago
Read 2 more answers
If F (7) 22, Then F(f-1(22))
jeka57 [31]

Answer:

\boxed{\boxed{f(f^{-1}(22))=22}}

Step-by-step explanation:

\text{If we have}\ f(x)\ \text{and}\ f^{-1}(x),\ \text{then}\\\\\text{if}\ f(a)=b,\ \text{then}\ f^{-1}(b)=a.\\\\\text{Therefore, if}\ f(7)=22,\ \text{then}\ f^{-1}(22)=7.\\\\f(\underbrace{f^{-1}(22)}_{=7})=f(7)=22

6 0
3 years ago
What is the missing constant term in the perfect square that starts with x^2-12x
Ipatiy [6.2K]

Essentially, we are trying to find the missing constant term of (x - a)^2 (remember that we are subtracting a due to the negative sign in front of the second term). Let's expand this to see what we can work with:

(x - a)^2

  • Set up

x^2 - ax - ax + a^2 = x^2 - 2ax + a^2

  • FOIL and simplify

Now, we know the second term is 12x, so let's set the second term in the polynomial we just found equal to 12x:

2ax = 12x

  • Set up

2a = 12

  • Divide both sides of the equation by x

a = 6

  • Divide both sides of the equation by 2

We have found a = 6. We know the missing constant term is a^2, according to the polynomial we found earlier. Thus, the missing term is:

a^2 \Rightarrow 6^2 = 36


The missing constant term is 36.

4 0
3 years ago
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