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2 months ago

Guest #6876931

2 months ago

The function that best models the** linear relationship** will be** y = 22,000x + 40,000.**

Let the number of years be represented by x.

From the information given, the **delivery truck **has 40,000 miles on its **odometer **and travels an average of 22,000 miles per year, this will then be;

y = 40000 + (22000 × x)

**y = 40000 + 22000x**

Therefore, the function that best models the **linear relationship** will be **y = 22,000x + 40,000.**

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Guest #6876932

2 months ago

Well, y-intercept is what we start with(40000) and the slope is the rate of increase/decrease(22000).

Question

Estimate the unit rate to the nearest hundredth.
$1.19 per 12fl oz price of 1 fl oz

Solution 1

**Unit rate** is used in mathematics to compare *one quantity with another quantity.*

The **unit rate** to the nearest hundredth is **$0.010**

From the question, we know that __ 12 fl oz is $1.19.__ To find the

12 fl oz = $1.19

1 fl oz = ?

Cross Multiply

1 fl oz x $1.19 / 12 fl oz

= **$0.099166**

To the nearest hundredth, the unit rate is **$0.010**

Therefore, the unit rate to the nearest hundredth is **$0.010**

To learn more, visit the link below:

Solution 2

I believe the price of 1 fl oz. would be 0.09916667.

Question

In a box of pens, there are three times as many red pens as green pens and two times as many green pens as blue pens. For the pens in the box, write down the ratio of the number of red pens to the number of green pens to the number of blue pens.

Solution 1

The **ratio **of the numbers of red, green and blue **pens **is 3:1:2

A **ratio **is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that, In a box of **pens**, there are three times as many red **pens **as green **pens **and two times as many green pens as blue **pens**.

Let the number of green **pens **be x,

Then the number of red **pens **= 3x

Number of blue **pens **= 2x

Ratio = 3x:x:2x

= 3:1:2

Hence, the **ratio **of the numbers of red, green and blue **pens **is 3:1:2

For more references on **ratios**, click;

#SPJ1

Solution 2

R==red pens

g=green

b=blue

r=3g

g=2b

red:green=3:1

green:blue=2:1

3:1, times 2

6:2

red:green=6:2

green:blue=2:1

red:green:blue=6:2:1

g=green

b=blue

r=3g

g=2b

red:green=3:1

green:blue=2:1

3:1, times 2

6:2

red:green=6:2

green:blue=2:1

red:green:blue=6:2:1

Question

The mean age of 10 people in a room was 16. When Toby walked into the room, the mean age went up to 18. What is Toby's age?

Solution 1

24? I dunno. but I will just assume it is.

Question

Given the slope and y-intercept can you write an equation for the line?

Solution 1

Y=mx+b

m=slope

b=yintercept

example

if slope=3

yintercept is 2 then

y=3x+2

simple as that

m=slope

b=yintercept

example

if slope=3

yintercept is 2 then

y=3x+2

simple as that

Solution 2

Yes, because the equation to find the proportional relationship is y=kx. Y- origin

K- constant rate of proportionality

K- constant rate of proportionality

Question

HELP ME PLEASE
What can you tell about the initial value and the y-intercept?

Solution 1

The y intercept is when x=0

x is the depdendent numer

when x=0 (or when no change has occured), the y intercept is te starting value

example

a car is at the 1 mile mark

if it goes 10 miles per hour, what mark will it be at in 10 minutes

distance=10x+1

1 is starting point, when x=0, or when the car hasn't traveld at all

yint is the initial value of the function

x is the depdendent numer

when x=0 (or when no change has occured), the y intercept is te starting value

example

a car is at the 1 mile mark

if it goes 10 miles per hour, what mark will it be at in 10 minutes

distance=10x+1

1 is starting point, when x=0, or when the car hasn't traveld at all

yint is the initial value of the function

Solution 2

Well, the slope is 8 and the y-intercept is -10

the slope is always the number in front of just 'x' and the y- intercept is any number without a variable (Thats all I got) Hope this helps!

the slope is always the number in front of just 'x' and the y- intercept is any number without a variable (Thats all I got) Hope this helps!

Question

Factor the expression.
15n−18

Solution 1

I saw that you put this question here twice so here's my answer again with the math.

Factor 15n−18

15n−18

=3(5n−6)

3(5n−6)

5n-18 factored is 3(5n−6)

Factor 15n−18

15n−18

=3(5n−6)

3(5n−6)

5n-18 factored is 3(5n−6)

Solution 2

Divide each term by 3...

15n - 8 = 3(5n - 6)

15n - 8 = 3(5n - 6)

Question

Factor the expression.
15n−18

Solution 1

For this case we have the following expression:

We look for the factors of each coefficient.

We have then:

Taking the biggest common factor we have:

Therefore, the factored expression is given by:

**Answer: **

**the factored expression is given by: **

Solution 2

Factor 15n−18

15n−18

=3(5n−6)

3(5n−6)

5n-18 factored is 3(5n−6)

15n−18

=3(5n−6)

3(5n−6)

5n-18 factored is 3(5n−6)

Question

A coyote can run up to 43 miles per hour while a rabbit can run up to 35 miles per hour.write two equivalent expression and then find how many more miles a coyote can run in six hours than a rabbit at these rates

Solution 1

D=s*t

distaance=speed times time

cd=coyote distance*time=ds*dt

rd=rabbit diatance*time=rs*rt

given

t=6 for all, so dt=rt=6

and ds=43

rs=35

cd=43*6=258miles

rd=35*6=210miles

how much more?

258-210=48

48 more miles

distaance=speed times time

cd=coyote distance*time=ds*dt

rd=rabbit diatance*time=rs*rt

given

t=6 for all, so dt=rt=6

and ds=43

rs=35

cd=43*6=258miles

rd=35*6=210miles

how much more?

258-210=48

48 more miles

Question

What two-word phrase indicates a ratio or fraction?

Solution 1

It's ratio-proportion

hope it helps

hope it helps

Question

A mathematical term that does not include an equal or inequality sign is called an _____.

Solution 1

This mathematical term is called an expression

Solution 2

That would be an EXPRESSION

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