A and b share a the cost in a ratio of 3:2 the cost is £85, how much does a pay?

Answers

Answer 1

Answer: 85/5 = 17
17x3 = 51
17x2 = 34
51:34

Answer 2

Answer: A has to pay £51 (and B pays £34)
This is how you work it out: A:B
3:2
3+2=5, 85/5 = 17 (this is what you would have to pay if your part of the ratio was 1)
therefore, to find what A pays, you times the part 1 by 3 (as the ratio is 3:2)
17 x 3 = 51
(likewise, 17x2= 34 which is what B has to pay)

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A store makes a profit of $8 on a sweater after a markup of 40%. What is the selling price of the sweater?

Answers

Use ratios: $(40)/(100)$ = $(8)/(7)$

Since 40/8=5, then you do the same on the bottom. 100/5=20, so the sweater was originally $20.

Are the fractions 1/3 and 3/9 equivalent?

Answers

yes it is equivalent if u multiply 1 times 3 u get 3 if u multiply 3 times 3 is 9 so they r equivalent hope this help:)

yes, the fractions are equivalent.
in order to solve this problem, you need both fractions to have the same denominators.
ask yourself if 3 can go into 9. it can.
you change the denominator of 3 to 9. but when you change the denominator, you also have to change the numerator. since 3 goes into 9 three times, you also multiply the numerator by 3.
1/3 times 3/3 equal 3/9. since 3/9 and 3/9 are the same, they are equivalent

Can u help me with the rest??

Answers

a) x/100 = 15/90x = 100(15/90)
x = (10/9)15

x = 10*(5/3)
x = 50/3
x = 16.667
x = 16% or 2/3

b)56/x=100/10(56/x)*x=(100/10)*x
56=10*x
56/10=x
5.6=x
x=5.6

c)180/x=100/90
(180/x)*x=(100/90)*x
180=1.11111111111*x
180/1.11111111111=x
162=x
x=162

d)300/x=100/25
(300/x)*x=(100/25)*x
300=4*x
300/4=x
75=x
x=75

f)20/x=100/55
(20/x)*x=(100/55)*20
x=36.36
x=36

I don't know how to do e), sorry.

"You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the restaurant is given by y=−40x+200, where x is the number of hours since your friend left home. You live 100 miles from the restaurant and arrive at the same time as your friend. Write a linear equation that represents your distance from the restaurant."

Answers

The equation will be:

$y=-20x+100$

Why?

Let's work with your friend equation in order to find the time from his house to the restaurant (is the same as yours).

We are given the following function:

$y=-40x+200$

When: $y=0$ our friend arrived, so, calculating "x", we have:

$0=-40x+200\n\n40x=200\n\nx=(200)/(40)=5h$

We have that it took 5 hours for our friend to arrive at the restaurant, and it's the same time for you. We know that you live 100 miles from the restaurant.

Your equation will have the following form:

$y=-k*x+distance$

Where,

y is the position

k is the rate distance/time

x is the time

Now, again, when $y=0$ , you will have arrived at the restaurant too, so:

$0=-k*x+100$

Using "x" equal to 5 hours, because you will have arrived at that time too, we have:

$0=-k*5+100\n\nk=(100)/(5)=20$

Your equation will be:

$y=-20x+100$

Have a nice day!

An equation stating that two ratios and rates are equivalent is a (n)

Answers

A proportion is an equation that states that two ratios are equal

Write an equation in slope intercept form of the line m=3/2 and contains the point 2,9

Answers

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{9})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{2} \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{\cfrac{3}{2}}(x-\stackrel{x_1}{2}) \n\n\n y-9=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+6$

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Can someone help me with this? :)