Answer:
5%
Step-by-step explanation:
Total 'halwa' made = 1
Divided into four equal portion = 1/4
Arrival of an unexpected guest = 1/5
By what percentage has each family member's share been reduced:
Change in the sharing proportion:
Previous share ratio - new sharing ratio
(1/4 - 1/5) = (5 - 4) / 20 = 1/20
That means total reduction in the sharing = 1/ 20
Since each member comes contributed equally:
Reduction in each family member's share ;
(1 / 20) ÷ 4
(1 / 20) * 1/4 = 1/ 80
Percentage reduction:
(Reduction / original share) * 100%
[(1/80) ÷ (1/4)] * 100
(1/80 * 4/1) * 100%
(1/20) * 100%
= 5%
Reduction in each family members share = 5%
Answer:
To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic
1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation
We simplify and check the number of real roots with the quadratic formula,
for quadratic equations the form 0 = a·x² - b·x + c
Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.
Step-by-step explanation:
Answer:
89.62
Step-by-step explanation:
Look at the 3rd place of decimals - this is 6 so we add one to the second place.
M∠X = 54.3°.
Using the Law of Sines, we have:

Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
<h3><u>Question:</u></h3>
Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
<h3><u>Answer:</u></h3>
Aubrey paid $ 25.5 to the wait staff
<h3><u>Solution:</u></h3>
Given that, Aubrey's dinner cost $ 85
She tips the waitstaff 30% for excellent service
We have to find the amount paid as tip to wait staff
Cost = $ 85
Tip = 30 %
So the tip amount paid is 30 % of 85
<h3><u>Find out 30 % of 85</u></h3>

Thus Aubrey paid $ 25.5 to waitstaff