Answer:
see explanation
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
(1)
Given a₁ = 5 and a₄ = , then
5 + 3d = ( subtract 5 from both sides )
3d = - ( divide both sides by 3 )
d = -
add - to each term
5, , ,
(2)
Given a₁ = - 4 and a₆ = 6, then
- 4 + 5d = 6 ( add 4 to both sides )
5d = 10 ( divide both sides by 5 )
d = 2
Add 2 to each term
- 4, -2, 0, 2, 4, 6
(3)
Given a₂ = 38 and a₆ = - 22, then
a₁ + d = 38 → (1)
a₁ + 5d = - 22 → (2)
Subtract (1) from (2) term by term
4d = - 60 ( divide both sides by 4 )
d = - 15
Substitute d = - 15 into (1)
a₁ - 15 = 38 ( add 15 to both sides )
a₁ = 53
Thus
53, 38, 8, - 7, - 22
Answer:
<u>The original price of the coat was £ 275</u>
Step-by-step explanation:
1. Let's review all the information given for solving this question:
Sale price of the coat = £ 220
Discount from the original price = 20%
2. Let's find the original price of the coat
Original price of the coat = x
Sale price of the coat = £ 220
Sale price of the coat = x - 20%x
220 = x - 0.2x
220 = x - 2x/10 (0.2 = 2/10)
2,200 = 10x -2x (Multiplying by 10 at both sides)
2,200 = 8x
2.200/8 = 8x/8 (Dividing by 8 at both sides)
275 = x
<u>The original price of the coat was £ 275</u>
Answer:
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
14) since this is a square each side is going to be the same length; all sides will be 9 ft long
x + 2 = 9 9 - 2 = 7 X = 7
to get the area of the square you must find the length of one side.... we know it is 9.... then we multiply the length by itself.... in this case 9 x 9
9 x 9 = 81 ft
15) formula to find the area of a right triangle is: A = ab/2
In this case a = 8cm and b = (x + 1) cm
In order to meet the requirement of ≤ 44 ab must = ≤ 88
since we multiply ab then x has to be 10 or less since 10+1=11
and 11 x8 = 88 and 88 divided by 2 = 44
We need to make the denominators equal for both fractions to figure out how much sugar was used in all.
3/4 + 1/2
We can multiply the numerator and the denominator by 1 for 3/4. We can multiply the numerator and the denominator by 2 for 1/2. Therefore, we will get 1.
3/4 + 1 = 1 3/4 <em><u>OR</u></em> 7/4
Answer is 7/4 or 1 3/4.
<h2><u><em>
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