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3 years ago

It says to solve each proportion which I forgot how to do. Please help.

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

7 0

You have to divide denominator by numerator to find the constant of proportionality.

victus00 [196]3 years ago

3 0

You can cross multiply and then simply solve for x.

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Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7

lubasha [3.4K]

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

$(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\$

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

$(y - y_{1} )=m\times(x-x_{1}) \\$

Substituting the given values in a above equation we get

$(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}$

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

8 0

3 years ago

ok i have a chart with two side one with regular popcorns sold to large popcorn sold. ok i got 4 to 3 on the top i need this 8 b

riadik2000 [5.3K]

I think this might help, ‒A smoother (line) shows the general pattern of weight as a function of height.‒A legend describes the elements on the graph (in this case, the smoother).

5 0

4 years ago

A scientist inoculates mice, one at a time, with a disease germ until he finds 2 that have contracted the disease. if the probab

AnnyKZ [126]

There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).

5 0

3 years ago

Three lorries each making five trips per day transport 2500 crates from a factory to a distributor in two days .how many lorries

elixir [45]

Step-by-step explanation:

3×5×2 = 30 lorry trips to deliver 2,500 crates.

3 lorries, 5 trips per day, 2 days

that means that one lorry trip transports

2,500 / 30 = 250/3 = 83.33333... crates = 83 1/3 crates.

now we need x lorries each making 6 trips per day in 1 day (so, 6 trips, period) to transport 10,000 crates.

that looks like

x × 6 × 83.33333... = 10,000

x × 6 × 83 1/3 = 10,000

x × (6×83 + 6 × 1/3) = 10,000

x × (498 + 2) = 10,000

500x = 10,000

x = 20

so, we need 20 lorries each doing 6 trips in one day to transport 10,000 crates in one day.

these are altogether 20×6 = 120 lorry trips.

that is 4 times the number of the original scenario (30 trips).

and logically, when doing 4 times the work, we achieve 4 times the result (10,000 crates instead of 2,500).

6 0

2 years ago

You borrow $600.You pay 5% interest compounded annually. How much do you owe at the end of 4 years?

neonofarm [45]

Answer:

$729.30

Step-by-step explanation:

Each year, the amount owed is multiplied by 1.05. At the end of 4 years, it will be ...

$600×1.05⁴ ≈ $729.30

5 0

3 years ago