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Advocard [28]
3 years ago
9

an airport charges an additional fee for a piece of luggage that weighs more than 50 lbs write an inequality that shows the weig

ht Michaels suitcase can be X without having to pay for the extra fee​
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Answer:

X ≤ 50

Step-by-step explanation:

Since the additional fee for a piece of luggage is only charged if it weighs more than 50 lbs, than Michael's suitcase weight must be less than, or equal to, 50 lbs.  Using 'X' as the weight of Michael's suitcase in pounds:

X ≤ 50

'X' is less than or equal to 50 lbs

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PLS HELP pq has endpoints at p(-5,4) and q(7,-5).what is the midpoint of pq? what are the cordinates of the point 2/3 of the way
lara31 [8.8K]

Answer:

a. (1, -0.5)

b. (-0.2, 0.4)

c. 15 units

Step-by-step explanation:

a. The midpoint of PQ

To calculate this, we use the midpoint formula;

(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}

From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)

So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)

The coordinates of the midpoint of pq is (1,-0.5)

c. Length of pq

Mathematically;

Length = √{(x2-x1)^2 + (y2-y1)^2}

Length = √{(7-(-5))^2 + (-5-4)^2}

Length = √(12)^2 + (-9)^2

Length = √(144 + 81) = √(225) = 15

b. What we will use here is the internal division formula of the section formula;

Mathematically the coordinates can be calculated using the formula;

(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n

in this case, m = 2 and n = 3

(x1,y1) = (-5,4)

(x2,y2) = (7,-5)

So substituting these values, we have;

(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)

(x,y) = (14 -15)/5 , (-10 + 12)/5

= (-1/5, 2/5) = (-0.2, 0.4)

5 0
3 years ago
Please answer the problem above
dem82 [27]

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

5 0
3 years ago
Sarah is designing a flower garden and has allowed herself $300 for expense. she finds flowers for $6 each and bushes for 10$ ea
pishuonlain [190]

Answer:

25 flowers 14 bushes

Step-by-step explanation:

13f/23b = 308

16f/21b = 306

8f/260 = 308

25 · 6 = 150

14 · 10 = 140

140+150 = $290

3 0
3 years ago
the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y
Oxana [17]

Answer:

<u>The correct answer is r = ∛GM*T²/4π²</u>

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

<u>The correct answer is r = ∛GM*T²/4π²</u>

7 0
3 years ago
Larry Lazy purchased a one year membership at a local fitness center at the beginning of the year. It cost him $150. He goes twi
Papessa [141]
$4.05 per visit
if he continued going to the gym twice a week all year would be $2.88 per visit.
7 0
3 years ago
Read 2 more answers
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