Answer: 2nd diagram, explanation below
Step-by-step explanation:
Since it is 8 magnet students for 3 magic students, the second diagram is correct.
The second part, you would need to set up a system of equations:
Let m = magnet students and t = magic students
t + 25 = m
(8/3)t = m. Since m = m, substitute: t + 25 = (8/3)(t). Now solve for t: t = 8t/3 - 25,
t = (8t - 75)/3, in this step I turned 25 into 75/3 and place it with 8t so it doesn't change the value of the equation.
3t = 8t - 75, in this step I multiplied every term by 3 to eliminate the demoninator. Now I solve the final steps:
-5t = -75, 5t = 75
t = 15
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Answer:
3040
Step-by-step explanation:
given arithmetic progression is
70,100,130,...
here
first term (a)=70
common difference (d)=100-70=30
number of term n=100
using the formula of arithmetic progression
an=a+(n-1)d
a100=70+(100-1)30
a100=70+99×30
a100=70+2970
a100=3040
Answer:
135 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h(a + b)
where h is the height and a, b the parallel bases
Here h = 9, a = 13 and b = 17 , thus
A =
× 9 × (13 + 17)
= 0.5 × 9 × 30
= 135 cm²
Answer:
The shapes are the same, just one is sideways. They also have very similar measurements.
Step-by-step explanation:
Even so, when we check this we get:
(1 1/2 x 1 3/4) 7 = (3 x 1 3/4) 3 1/2
when simplified (solved) this is: 18 3/8 = 18 3/8
The reasoning explains the answer