Algebra Answers

-1/8(x-27)+1/3(x+3)=x-59 how to solve

Prove the inequality:
|cos(x)|≥1-sin²(x) holds true for all x∈R

Bob finished his English assignment in 3/4 hours. Then he completed his chemistry assignment in 1/5 hours. What was the total amount of time Bob spent doing these two assignments?

George’s consultancy firm has a large number of employees who use their own cars when
travelling to customers. The company pays 10¢ per kilometre travelled towards the cost of the
journey, plus an additional 25¢ for each visit made. Because many employees have complained
that this is not enough to cover the cost, George has decided to change the policy.
He can only afford to increase the total cost for an average week (40 visits covering a total of 300
kilometres) by 10%. The new policy will still offer a rate per kilometre, plus an amount per visit
(both of which will be a whole number of cents), and George wants the rate per kilometre to be as
high as possible.
What will be the amount paid for a visit involving travel of 20 kilometres?

1.arrange the following fractions from biggest to smallest: 5/8;4/4;2/6;3/7;1/2.
2.fill in <,> or =
a, 1/2__1/3
b, 1/2___2/3
c, 2/3__6/6
d, 1/2__3/3
e, 1/2__2/6
f, 2/3__1/6
g,1/3__4/6
h, 1/2__1/6
I, 1/3__3/6
j, 5/6__2/3
k, 4/6__1/2
l, 5/6__1/2

1.what fraction of a bag of 24 marbles will each person have if it is shared among:
1.1.two people.
1.2.three people.
1.3.six people.
1.4.four people.
2.how many thirds make six wholes.
3.draw a shape of which one eighth of the whole has been coloured,and write the fraction of the shape that is uncoloured.
4.draw a shape of which seven-tenths of the whole is coloured and compare it with two-fifths of the whole.which one is bigger?illustrate your answer.

1.what fraction of a bag of 24 marbles will each person have if it is shared among:
1.1.two people.
1.2.three people.
1.3.six people.
1.4.four people.
2.how many thirds make six wholes.
3.draw a shape of which one eighth of the whole has been coloured,and write the fraction of the shape that is uncoloured.
4.draw a shape of which seven-tenths of the whole is coloured and compare it with two-fifths of the whole.which one is bigger?illustrate your answer.

Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form.
Passing through ​(3​,-2​) and perpendicular to the line whose equation is y=1/2x+4. What's the point-slope form

Find the average rate of change of the function from to f(x)= square root of x from x1=4 to x2=121