15.40 times 0.15
= $2.31 tip
Answer: No.
Step-by-step explanation:
1. It is negative. -0.44. Any negative number compared to a positive number when you compare which is the larger number, the positive number will always be greater.
2. The 4 in the number 4.35 is a whole number. However, the whole number in -0.44 is, well zero. Just by looking at that, you can tell that 4.35 is the larger number.
Hope that helps :))
Answer:x=-8
Step-by-step explanation:subtract 21 from both sides then simplify 31-21 to -8
Answer:
The graph of h(x) is shown below.
Step-by-step explanation:
The given function is
The general form of sine function is
Where, a is amplitude, b is period, c is phase shift and d is vertical shift.
So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.
It means the minimum value of function is -7 and maximum value is 7.
Put x=0 in the given function.
Put 
in the given function.
Put 
in the given function.
Therefore the points on the function are (0,0), 
.
The graph of function is shown below.
<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>
