Subtract the faster speed:
721.6 - 8.4 = 713.2
Divide by 2 trains:
713.2/2 = 356.6
The slower train is going 356.6 miles per hour.
The faster train is going 356.6 + 8.4 = 365 miles per hour.
16 divided by 1
is 16 with remainder 0
= 16 R 0
= 16 0/1
Answer:
L=193
Step-by-step explanation:
Initial length of the road =57mi
L= Total length
D=number of days worked
Number of miles added in 1 day= 4mi
Therefore,
L=57+D*4
After 34 days,
L=57+(34*4)
L=193mi
Δ YX Z And Δ VUW are SIMILAR because all their respective angles are congruent:
∠ y = 90°; ∠ v = 90°
∠ x = 67°; ∠ u = 67°
∠ z = 23°; ∠ w = 23°
Two triangles are similar if their related angles are congruent (answer B)
Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
