Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
Answer:
A model that shows a pitcher holding 8 times the amount of a glass
Step-by-step explanation:
I would need a picture of the models, but I think I can still help.
Any model that shows a pitcher holding 8 times as much as a glass is the correct model. Be sure to read carefully so you pick the right model.
He ran 4 miles per hour for one hour, which means he ran 4 miles.
He cycled 6 miles at 12 miles per hour, which means he cycled for one half an hour.
His total miles was 4 + 6 = 10 total miles.
His total time was 1 hour + one half an hour = 1.5 hours.
His average speed is total distance divided by total time:
10 / 1.5 = 6 2/3 miles per hour.
Multiply 6 by 9 (whole number by denominator)
then add that to 15 (the product to the numerator.
Answer:
the first equation is the total legs on one dog being added together with 2 other total dog legs. The second equation is the number of dogs multiplied by the total number of legs on one dog. Either way both equation show 3 dogs with 4 legs each.
