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frez [133]
3 years ago
6

Where do lines modeled by equations y=-7/8x+1/4 and y=-3/4x+1/2 intersect

Mathematics
2 answers:
vlabodo [156]3 years ago
5 0
If they intersect they have the same x and y values so we can say y=y which can be expressed as:

-7x/8+1/4=-3x/4+1/2  make all terms have a common denominator of 8

-7x/8+2/8=-6x/8+4/8  now multiply all terms by 8

-7x+2=-6x+4  add 6x to both sides

-x+2=4  subtract 2 from both sides

-x=2  divide both sides by -1

x=-2, now we solve for y using either original equation...

y=-3(-2)/4+1/2

y=6/4+1/2

y=6/4+2/4

y=8/4

y=2  so the lines intersect at the point:

(-2, 2)
iris [78.8K]3 years ago
5 0

The lines would intersect at (-2,2)

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Answer:

X=30; Z=80; Y=70

Step-by-step explanation:

The straight lines equal 180 and you subtract 180 to 150 and 180 to 100 to get 30 and 80 and the inside of a triangle is 180 and you subtract 30 and 80 to 180 to get 70.

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D is the right answer
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Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of
ExtremeBDS [4]

Answer:

0.183

Step-by-step explanation:

This is a question on Binomial Probability

Formula =nCx × p^x × q^n - x

p = 0.72

q = 1 - p

= 1 - 0.72

= 0.28

x = number of successes = 9

n = 10

The probability that at least nine out of ten people used an online travel website when they booked their airline ticket

At least 9 out of 10 means

x ≥ 9 = x = 9 and x = 10

Hence,

P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)

P(x ≥ 9) = 0.14559635388 + 0.0374390623

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3 0
3 years ago
Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 3 days. It costs $48 per d
MrRa [10]

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

To Find :

The value on her gift card decreased by how many dollars.

Solution :

Decrease in dollar is given by :

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Hence, this is the required solution.

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That's true.
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