Please help. Full explanation if you can.1. The ratio of boots to sandals in a shoe store is 8:3. If there are 245 more boots than sandals in the store, how many boots are there??

Answers

Answer 1

Answer: 392 boots. If you divide everything into "sets" of an unknown amount, there are 5 more "sets" of boots than sandals, also known as the 245 boots. So if you divide 245 by 5, you'll get the number of items in a "set". Then just multiply by 8 from the 8:3 ratio. If you check it, it will come out to 392 boots to 147 sandals, which I think is ridiculous since sandals are supposed to come in pairs so you should never have a odd number. But anyway, 392 - 147 = 245

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403010Pa2 4 8 10Number of ticketsThe graph shows the cost of buying raffle tickets.19. write an equation shows the cost y in terms of the number of tickets x?Equation:

Answers

Simple..

you have y which is the cost of the tickets..and you have x which is the number of tickets..

So, you have those points on the graph....find an equation!

Take any of those coordinates..and find the equation of the line...in the form of y=mx+b

(2,10) and (5,25)

Using: $( y_(1)- y_(2) )/( x_(1)- x_(2) )$

$(10-25)/(2-5) = (-15)/(-3) =5$

Thus, you know your slope. m=5

But, remember it's in the form of y=mx+b

So, use any of the coordinates...let's use (2,10)

10=5(2)+b

10=10+b

0=b

Thus, your equation is... y=5x

Thus, your answer.

Please Help me and answer quickly

Answers

1 batch . . . . 2-1/4 cups
2 batches . . 4-1/2 cups
3 batches . . 6-3/4 cups
4 batches . . 9 cups
.
.
7 batches . . 7(2 + 1/4) =

   (7 x 2) + (7 x 1/4) =

   14    + ( 7/4) =

   14 + 1-3/4 = 15-3/4

c). Write a proportion:    (1 batch) /(3 dozen) = (x) / (200 cookies)

1 dozen = 12 cookies
3 dozen = 36 cookies

So the proportion is (1 batch)/(36 cookies) = (x) / (200 cookies)

Cross-multiply:    (1 batch) x (200 cookies) = ('x' batch) x (36 cookies)

Divide each side by (36 cookies):

   (1 batch x 200 cookies / 36 cookies) = 'x' batch

   (200 batch / 36) = 'x' batch

   x = 200/36 = 5.55 batches

If you can only make whole batches, then you need to make 6 of them
in order to have at least 200 cookies.

d). There's more than one possible unit rate here:

--   2.25 cup flour per batch

-- 0.75 cup flour per dozen cookies

-- 0.0625 cup flour per cookie

-- 16 cookies per cup flour

-- 0.444 batch per cup flour

etc.

Jalen is buying a new car. He has the options below.Model: compact, luxury, sport
Transmission: automatic, manual
Color: red, blue, black, yellow

Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24

Answers

Answer:

Option B. 6

Step-by-step explanation:

Jalen is buying a new car. His options are below:

Model : Compact, luxury, sport = 3 options

Transmission : automatic, manual = 2 options

Color : red, blue, black, yellow = 4 options

Jalen decides that he wants a yellow car.

Now he has total number of choices = 3 × 2 = 6 choices

Option B. 6 choices is the answer.

The total number of choices Jalen has is six

A recipe calls for 4 tab of baking soda and 1 Oz of vanilla. which measurement is greater ? explain

Answers

4 tablespoons is greater. A tablespoom is equal tl half an ounce, thus 4 tablespoons is 2 ounces

Let f(x)=2/x-3. Find f^-1(x)

Answers

Answer:

Two questions:

Question 1: $f^(-1)(x)=?$ given $f(x)=(2)/(x)-3$ .

Answer 1: $f^(-1)(x)=(2)/(x+3)$

Question 2: $f^(-1)(x)=?$ given $f(x)=(2)/(x-3)$ .

Answer 2: $f^(-1)(x)=(2)/(x)+3$

Step-by-step explanation:

So $f^(-1)$ is used in most classes to represent the inverse function of $f$ .

The inverse when graphed is a reflection through the y=x line. The ordered pairs $(a,b)$ on $f$ implies $(b,a)$ are on $f^(-1)$ .

This means we really just need to swap x and y.

Since we want to write as a function of x we will need to solve for y again.

Question 1:

$y=(2)/(x)-3$

Swap x and y:

$x=(2)/(y)-3$

We want to solve for y.

Add 3 on both sides:

$x+3=(2)/(y)$

Make the left hand side a fraction so we can cross-multiply:

$(x+3)/(1)=(2)/(y)$

Cross multiply:

$y(x+3)=1(2)$

Simplify right hand side:

$y(x+3)=2$

Divide both sides by (x+3):

$y=(2)/(x+3)$

So $f^(-1)(x)=(2)/(x+3)$ .

Question 2:

$y=(2)/(x-3)$

Swap x and y:

$x=(2)/(y-3)$

Make left hand side a fraction so we can cross multiply:

$(x)/(1)=(2)/(y-3)$

Cross multiply:

$(y-3)x=1(2)$

We have to distribute here:

$yx-3x=2$

Add 3x on both sides:

$yx=2+3x$

Divide boht sides by x:

$y=(2+3x)/(x)$

You could probably stop here but you could also simplify a little.

Separate the fraction into two terms since you have 2 terms on top bottom being dividing by x:

$y=(2)/(x)+(3x)/(x)$

Simplify second fraction x/x=1:

$y=(2)/(x)+3$

So $f^(-1)(x)=(2)/(x)+3$ .

18x + 9y use the distributive property to write an equivalent expression

Answers

Hey there!
It looks like you have another factoring question!
Using our definition of the distributive property:
a(b+c) = ab+ac
We need to factor our or greatest common multiple, which here is 9.
9 times 2x = 18x and 9 times y = 9y
We have:
9(2x + y)
Once again, using the distributive property, multiply it out and you'll get 18x and 9y.
Hope this helps!

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