Answer:
E A F
Step-by-step explanation:
Answer: x - 10
Explanation: less than means subtraction
Answer:
Neither
Step-by-step explanation:
−1.3x−(−8.9x) = −1.3x + 8.9x = 7.6x
−1.3x+(−8.9x) = −1.3x −8.9x = -10.2x
Answer: Neither
584 is the total number of students in the school.
5/8 are in seventh grade and 3/8 are in eighth grade.
4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.
7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.
So, all together, there were
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.
Let's simplify as you asked:
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)
= [20/40 + 21/64] · 584 (multiply fractions)
= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)
= (32/64 + 21/64) 584 (getting a common denominator)
= (53/64) 584 (combine/add the two fractions)
= 483.625 (multiply together)
All together, there were: 483.625 students in the meet.
Answer:
Distance between A and B is 2672 km.
Step-by-step explanation:
Since one city B is having latitude of 23° and other town is having latitude of 47°.Radius of Earth has been given as 6380 km.
Therefore arc A from x-axis will be A = 2πr(∅/360) = 2×3.14×6380×(47/360)
= 5230.90 km
Now arc B from x-axis = 2πr(∅'/360) = 2×3.14×6380(23/360) = 2559.80 km
Therefore distance between them = 5230.9-2559.8 = 2671.9 ≅ 2672 km
Now we will rewrite the arc length formula in radians.
arc A = r×(∅×π/180)
arc A = 6380×(47×π/180) = 1665.9π
arc B = 6380×(23×π/180) = 815.22π
Now the distance between A and B = 850.68π
