Answer:
30th term of the sequence is -19
Step-by-step explanation:
first term = 10
common difference = 9- 10 = -1
so, nth term = a + (n-1) d
( where n is number of term, a = first term ,
d = common difference. )
- 30th term = 10 + (30-1) × -1
- 30th term = 10 - 29
- 30th term = -19
<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em>
H + 14 = 82
Subtract 14 from both sides.
h = 68 inches (height of the person)
<span>1) Express the following ratios in the simplest form.
a) 150 : 400
</span>Solution : <span>
The given ratio is 150 : 400 = 150/400
The common factor of 150 and 400 is 50.
(150 ÷ 50)/ (400 ÷ 50) = 3/8 = 3 : 8.
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b) A dozen to score
</span>Solution : <span>
One dozen = 12 and one score = 20.
So, a dozen to score = 12/20 = 12 : 20.
(12 ÷ 4)/ (20 ÷ 4) [ As the common factor is 4]
= 3/5 = 3 : 5.
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c) 200 grams to 4 kg
</span>Solution : <span>
200 g to 4 kg
As both the quantities are in different units, first make their units same.
1kg = 1000 g
∴ 4 kg = 4000 g.
200 g to 4000 g = 200 / 4000
Common factor of 200 and 4000 is 200.
(200 ÷ 200)/(4000 ÷ 200) = 1/20 = 1 : 20.
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d) Sam earned $4000 and paid $500 as income tax and spent $1500 on household expenses. Find the ratio of : 1) income tax to income 2) household expenses to income 3) savings to earnings
</span><span>Solution </span><span>
Sam’s income = $4000
Income tax = $500
∴ income tax to income = 500/4000
(500 ÷ 500)/(4000 ÷ 500) = 1/8
Ratio of Income tax to income is 1 : 8
Expenses = $1500
∴ Household expenses to income = 1500/4000
(1500 ÷ 500)/ (4000 ÷ 500) = 3/8
Ratio of Household expenses to income = 3 : 8.
Savings = Income – (expenses + income tax)
Savings = 4000 – (1500 + 500) = $2000.
∴ Savings to earnings = 2000/4000
(2000 ÷ 2000)/(4000 ÷ 2000) = ½
Ratio of savings to expenses = 1 : 2.</span>
Go slow to keep it down oil and water doesn’t mix
Answer:
(14, 15 )
Step-by-step explanation:
(3, 4 ) → (9, 12 ) is represented by the rule
(x, y ) → (x + 6, y + 8 ), thus
(8, 7 ) → (8 + 6, 7 + 8 ) → (14, 15 )
