Answer:
1.) 2.5 meters a second
Step-by-step explanation:
1 min 12 seconds is 72 seconds. 28 meters on 72 seconds. 28×2.5=72
Answer:
The perimeter is 7 dm
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Let
c------> the length of the third side
case a)
1+c>3
c>2 dm
case b)
1+3> c
4 > c
rewrite
c<4 dm
The solution for c is the interval------> (2,4)
therefore
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
P=1+3+3=7 dm
Answer:
800. Here's why:
Step-by-step explanation:
This indicats that 440 students make up 55% of the 6th grade population. We can write this as
55/440.
We also know that 'x' total students make up 100% of the 6th-grade population, so we can write this as
100/x.
55/440 must be equal to 100/x. When cross multiplied, it becomes 50x=44000. If we divided each side by 50, we'll find that x=880. Therefore, there are 800 6th graders
Answer:
a= -2 and b=3
Step-by-step explanation:
Step 1) Solve the first equation for a:
a + 3b = 7
a + 3b - 3b = 7 - 3b
a + 0 = 7 - 3b
a = 7 - 3b
Step 2) Substitute(7 - 3b) for a in a second equation and solve for b:
2a = b - 7 becomes:
2(7 - 3b) = b-7
(2 multi.7) - (2 multi.3b)= b-7
14 - 6b = b - 7
14 + 7 - 6b + 6b = b + 6b = b + 6b - 7 +7
21 - 0 = 1b + 6b - 0
21=(1 + 6)b
21 = 7b
21
/7 = 7b/7
3 = 7b/7
3 = b
b = 3
Step 3) Substitute 3 for b in the solution to the first equation at the end of Step 1 and calculate a
:
a = 7 - 3b becomes:
a = 7 − (
3 ⋅ 3)
a = 7 −
9
a = −
2
