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jeka94
3 years ago
7

Help pls !!!!!!!!!!!!!!!

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

8,64,216,512

Step-by-step explanation:

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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
o-na [289]

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

4 0
3 years ago
Read 2 more answers
Flying against the wind, an airplane travels 4000 kilometers in 5 hours. Flying with the wind, the same plane travels 5040 kilom
andriy [413]

Answer:the plane in still air is 904 km/h

the rate of the wind is 104 km/h

Step-by-step explanation:

Let x represent the rate or speed of the plane in still air.

Let y represent the rate or speed of the wind.

Flying against the wind, an airplane travels 4000 kilometers in 5 hours. This means that the total speed of the airplane would be (x - y) km/h

Distance = speed × time

Therefore

4000 = 5(x - y)

4000 = 5x - 5y - - - - - - - - -1

Flying with the wind, the same plane travels 5040 kilometers in 4 hours. This means that the total speed of the airplane would be (x + y) km/h. Therefore,

5040 = 4(x + y)

5040 = 4x + 4y - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 5, it becomes

16000 = 20x - 20y

20160 = 20x + 20y

Subtracting, it becomes

- 4160 = - 40y

y = - 4160/-40

y = 104

Substituting y = 104 into equation 1, it becomes

4000 = 5x - 5 × 104

4000 = 5x - 520

5x = 4000 + 520

5x = 4520

x = 4520/5 = 904

7 0
3 years ago
What is an equation in slope-intercept form of the line that passes through (6, −7)
Ber [7]

Answer:

y = -7/6x

Step-by-step explanation:

y - y1 = m*(x-x1)

m=y/x

y - (-7) = -7/6*(x-6)

y + 7 = -7/6x + 7

y = -7/6x + 7 - 7

y = -7/6

4 0
3 years ago
A deer population is declining by 2.2% per year. The population can be modelled using the formula p = 240(0.978)n , where P is t
ale4655 [162]

Answer:

The current deer population is 240.

Step-by-step explanation:

The expression given models a exponential decay follows:

p(n) = 240*(0.978)^n

For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:

p(0) = 240*(0.978)^0\\p(0) = 240*1 = 240

The current deer population is 240.

3 0
3 years ago
The function f(x) = 1.50x – 30 gives the amount of money Amelia has to spend each week for x school lunches, after taking money
Naya [18.7K]
To find the inverse, switch the x and y, and then solve for y (f(x) is the same as y)

So we get:
x=1.50y-30 (add 30 to both sides)
x+30=1.50y (divide both sides by 1.5)
x/1.5+30/1.5=y
y=x/1.5+20

Hope this helps
7 0
3 years ago
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