Please God bless you!

Solve appropriate word problems by modeling them with linear equations in two variables.

Nesterboy [21]

The cost of production equation is:

C = 10n + 20000

Solution:

The equation representing the cost, C, of producing n tires at Royal Tires Co. can be written as:

C = mn + f

Where,

C = cost

n = number of tires

f = company's fixed cost

It costs $30,000 to produce 1,000 tires while it costs $50,000 to produce 3,000 tires

Therefore,

30, 000 = m(1000) + f

50, 000 = m(3000) + f

Which is,

1000m + f = 30000 ------- eqn 1

3000m + f = 50000 ------- eqn 2

Subtract eqn 1 from eqn 2

3000m + f = 50000

1000m + f = 30000

( - ) -------------------

2000m = 20,000

m = 10

Substitute m = 10 in eqn 1

1000(10) + f = 30000

f = 30000 - 10000

f = 20,000

Thus the equation is:

C = 10n + 20000

6 0

3 years ago

If the circumference of a circle is x, then what is the area of the circle in terms of x?

grandymaker [24]

Answer:

x^2 / 4pi

Step-by-step explanation:

The area of a circle is (pi x r)^2

The circumference of a circle is 2pi x r

The find the radius, you need to divide x by 2pi, so x / 2pi

Then just plug it in as the radius:

(pi x (x / 2pi))^2 = x^2 / 4pi

7 0

3 years ago

a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

Answer: $\dfrac{12}{13}$

Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

$P(B|A)=1$

$P(B|A')=\dfrac{1}{4}$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$

The probability that the student knows the answer given that he answered it correctly is $\dfrac{12}{13}$ .

6 0

3 years ago

What is the value of the expression when x = 5? 3x^2 + 14 - 10x

Andrej [43]

Answer: 39

Step-by-step explanation:

7 0

3 years ago

]HI THIS MY FAV SONG WHTS URS? WILL GIVE BRAINLIEST

Amiraneli [1.4K]

My favorite song is Make a Wish by NCT U

[Intro]

Oh, ayy

Oh, yeah

[Verse 1]

See you looking right here, don't hesitate (Yeah)

Fully booked up for you, I squeeze in a date (Yeah)

Girl, you got me excited, I wanna play (Ooh)

It’s like I been at sea, the way I been on a wave

(Ayy, ayy, ayy, ayy)

I want you to come join me (Join me)

Swimmin' in the money like royalty

She said, "Baby, you don't have to spoil me"

She just want me to spoil her with loyalty

[Refrain]

Sweet tooth, I eat all of the Skittles

I like my donuts with jam in the middle

You’re a great example of what I'm into

I was thinking we could jam for a little, yeah

[Pre-Chorus]

You'rе all that I want

Let me show what I'm on

[Chorus]

I can do this all night

Back it up, back it up (Yeah)

Yеah, girl, you just my type (Woo)

We should match it up, match it up (We should)

Girl, you're lit, there ain't no one finer

One in a milli', yeah, you light the fire

Before I change my mind

It's your birthday, make a wish

[Post-Chorus]

Ooh, you should make a wish

I’ll, I’ll give you anything (Haha), make a wish

Let me do it for you

[Verse 2]

Never take a break, you always workin' overtime

Let’s just run away (Away), memories to make (To make)

You a diamond, see you glowin' in the (Dark)

That's why it's funny when you’re calling me a (Star)

You're my sugar rush, you really got me (Charged)

Really got me charged, you star

[Refrain]

Sweet tooth, I know how to nibble

Ice cream, no flake, lemon drizzle

Chocolate milkshake, just a little

Oreo marshmallow with the sprinkles

[Pre-Chorus]

You're all that I want

Let me show what I'm on

[Chorus]

I can do this all night

Back it up, back it up (Back it up on me)

Yeah, girl, you just my type

We should match it up, match it up (We should)

Girl, you're lit, there ain't no one finer

One in a milli', yeah, you light the fire

Before I change my mind

It's your birthday, make a wish

[Bridge]

Girl, your energy, it lifts me high (Lifts me high)

Put my heart and pride on the line (I'll do it for you)

I don't know why it took so long to realize

I should've seen it from before

Been tryna tell you you're

It's your birthday, it's your birthday

Now make a wish

[Breakdown]

I can do this all night

(I can do it, got the cash

You know I like to splash

So throw in a bag)

Oh, oh, oh, that I want

It's your birthday, it's your birthday

Now make a wish

Girl, you're lit, there ain't no one finer

One in a milli', yeah, you light the fire (Ooh)

Before I change my mind

It's your birthday, make a wish

[Chorus]

I can do this all night

Back it up, back it up

Yeah, girl, you just my type

We should match it up, match it up (We should)

Girl, you're lit, there ain't no one finer

One in a milli', yeah, you light the fire

Before I change my mind (Yeah)

It's your birthday, make a wish

[Outro]

Yeah, make a wish

(It's your birthday, it's your)

Make a wish

(I'll give you birthday cake)

Make a wish (Yeah)

I can do this all night

Make a wish

It's your birthday

Now make a wish

5 0

3 years ago

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