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Art [367]
2 years ago
7

A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m

aterial weighs 425 pounds, what is the maximum number of palettes of roofing material that the elevator can carry in one trip?
Mathematics
2 answers:
Sedaia [141]2 years ago
7 0

Answer:5

Step-by-step explanation:

Given

A construction elevator can carry at max 2320 pounds

elevator operator weighs 195 Pounds and each palatte of roofing material weigh 425 Pounds

we can assume x be the Palatte of roofing material

Thus we can write

2320=195+425x

2125=425x

x=\frac{2125}{425}=5

Therefore we can use 5 Palettes

sukhopar [10]2 years ago
5 0
5 because, 425 can only go into 2,320, five times.am i right?


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In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0
3 years ago
A plane flew 360km in 3 hrs when flying with the wind.With no change in the wind,the return trip took 4 hrs.Find the speed of th
morpeh [17]
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
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i
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h
r
=
p
+
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Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
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1726 rounded to the nearest 100
ipn [44]

Answer:

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VLD [36.1K]
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