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LiRa [457]
3 years ago
11

A jet plane traveling at 550 mph overtakes a propeller plane traveling at 200 mph that had a 4 hour head start. How far from the

starting point are the planes?
Mathematics
1 answer:
Orlov [11]3 years ago
8 0
The plane traveling 200 mph, started 4 hours earlier.

As at when they meet, let the 550 mph, have traveled for x hours.

The 200 mph would have traveled (x + 4) hours, since it started 4 hours earlier.

As at when they met, the distance covered is the same:

Distance = Speed * hour

550x = 200(x + 4)

550x = 200x + 200*4

550x = 200x + 800

550x - 200x = 800

350x = 800

x = 800/350

x = 16/7 hours.

The distance travelled = 550x = 550 * 16/7 = 8800/7 miles

The distance = 8800 / 7 miles  or ≈ 1257.14 miles

Hope this explains it.
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bob has 3 bookshelves that hold a total of 27 books. he adds a fourth shelf and now has 36 books. if he adds 2 more shelves ,how
kotykmax [81]
Based on the given information, each shelf can hold 9 books. (27/3 = 9) That means 2 additional shelves will hold 18 books. Add 18 to 36 to find the total, which is 54.
Hope that helped you.
8 0
3 years ago
ABCD rhombus, AC:BD = 4:3 Perimeter ABCD = 20 cm Find: Area of ABCD
AlladinOne [14]
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
5²=(2x)²+(1.5x)²
25=4x²+2.25x²
25=6.25x²
x²=4
x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
Hence the area of the rhombus wll be:
Area=1/2(AC×BD)
=1/2×8×6
=24 cm²
6 0
4 years ago
What are the intercepts of -4x+6y-5z=60
AURORKA [14]
Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>
7 0
3 years ago
I NEED HELP QUICKLY AND I WILL MAKE YOU THE BRAINIEST
artcher [175]

Answer:

y= total cost

x= per person

y=10x+a

well we know this equation so

32.25=10(3)+a

a=2.25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!!
lys-0071 [83]

Answer:

3 and 4: B

Step-by-step explanation:

As per the property of traversal lines, when two parallel lines are cut by traversal then the corresponding angles formed are equal.

In given case ∠6 is corresponding angle of ∠8 and ∠8 is corresponding to ∠18.

Hence option B is correct for 3 and statements!

If lines are ||, corresponding angles are equal.

8 0
3 years ago
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