An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?​

Hello

Step-by-step explanation:

hello I'm Filipino people

Answer:

Step-by-step explanation:

Given Equation :

[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]

Using distribute property:

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]

Adding the like terms we get :

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]

Transposing the variables on the right side and constant terms on the left side :

[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]

Dividing both sides by 5 :

[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]

[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]

Answer:

[tex]\left(a\right)\ 21.066\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(b\right)\ 66.872\\ \left(c\right)\ 81.567[/tex]

Step-by-step explanation:

[tex]\left(a\right)\ P\left(2\right)=C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(1-32)^{10-2}\\ =C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(68)^8=0.21066=21.066[/tex] [tex]percent[/tex]

[tex]cb)\ P(x > 2)=P(x\le2)=1-(P(x=0)+P(x=1)+P(x=2))\\ =1-C^{\begin{matrix}0\\10\\\end{matrix}}(0.32)degrees(0.68)^{10}-C^{\begin{matrix}1\\10\\\end{matrix}}(0.32)\prime(0.68)^9-C^{\begin{matrix}1\\0\\\end{matrix}}(008)(66)^9\\ =1-0.02114-0.09948-0.21066\\ =0.66872=66.872\\[/tex]

[tex](C)\ \ \ \ \ P(2\preccurlyeq[/tex] [tex]5)=P(2)+P(3)+P(4)+P(5)5)=P(2)+P(3)+P(4)+P(5)[/tex]

[tex]=C^{\begin{matrix}2\\10\\\end{matrix}}(0.32)^{)^2}\bullet(0.68)^3+C^{\begin{matrix}3\\10\\\end{matrix}}(0.32)^3\bullet(0.68)^7+C^{\begin{matrix}4\\10\\\end{matrix}}(0.32)^4\bullet(0.68)^6+C^{\begin{matrix}5\\10\\\end{matrix}}\bullet(0.32)^5\bullet(0.65)^5)[/tex]

[tex]=0.2186+0.26436+0.21771+0.12294\\ =0.81567=81.567 percent[/tex]

[tex](binomial\ distribution)[/tex]

I hope this helps you

:)

Answer:

The correct answer for this question is:

The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.

Step-by-step explanation:

Answer:

A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.

Answer:

A: (2,2) B: (3,-1) C: (-1,0)

Step-by-step explanation:

Change the coordinates of each point using the given translation. So 2 left 3 up.

Answer:

a^2+b^2=c^2

Step-by-step explanation:

13.2^2+5.5^2=c^2

204.49=c^2

sqrt(204.49)=14.3

Answer:

the answer is A im not sure so check with another person.

Step-by-step explanation:

if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8

there goes your answer.

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

Let's take a look at our first option.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

[tex]x+11[/tex]

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

[tex]x+11=44[/tex]

This is our final expression. It is the same as the given expression in the question.

Rana is x years old. in 11 more years, she will be 44 years old.

Answer:

x=2

Step-by-step explanation:

An undefined slope is the slope of a vertical line.

line through (2,3) is y=mx+b

Answer: x=2

The current value of Avery’s car is $12,480.

First step is to calculate the Net Worth

Bank accounts    $3,900

Credit card debt ($2,950)

Real estate         $37,425

Student loans    ($1,700)

Investments        $4,600

Net worth           $41,275

Second step is to calculate the current value of Avery’s car

Current value=$53,755-$41,275

Current value=$12,480

Inconclusion the current value of Avery’s car is $12,480.

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Answer:

0.67

Step-by-step explanation:

that is 4 divided by 6

your answer is 0.6666666

it's a recurring decimal

or 0.67

Answer:

x=7 and y =2.

2x+y = 16

x+y = 9

Answer:

Step-by-step explanation:

CB=OB-OC;

CD=CB/2=(OB-OC)/2=(b-c)/2;

OD=OC+CD=c+(b-c)/2=c/2+b/2;

AD=OD-OA=c/2+b/2-a;

AE=2/3*AD=2/3*(c/2+b/2-a)=c/3+b/3-2*a/3;

OE=OA+AE=a+c/3+b/3-2*a/3=a/3+b/3+c/3;

-------------------------------------------------------------------------------------------------

OD=c/2+b/2;

OE=a/3+b/3+c/3;

The value of OE = (a+ b+ c)/3 and OD = (b + c)/2.

In quadrilateral OABC, we are given that D is the midpoint of BC,

and E is a point on AD such that AE : ED = 2 : 1.

Also, OA = a, OB = b and OC = c

Now, By the Midpoint Theorem, we also have

OD = (1/2)OB + (1/2)OC.

OD = (1/2)(OB + OC)

OD = (1/2)(b + c)

OD = (b + c)/2.

and, CD= (OB- OC)/2 = (b-c)/2

Now, AD=OD-OA= (c+b)/2 - a

and, AE=2/3 x AD

= 2/3 x (c+ b)/2 - a

= (c + b - 2a)/3

Then, OE = OA + AE

= a + (c + b - 2a)/3

= (a+ b+ c)/3

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Answer:

It represents a linear relationship

Step-by-step explanation:

Linear relationship:

- constant change in x and y

Exponential relationship:

- constant change in x

- constant ratio of y

We see that 3, 4, 5, and 6 are a constant change in x as it's going up by +1.

It also has a constant change of y +2.

Answer:

Step-by-step explanation:

Answer:

The elevation of University Peak could be 14,464, which in between the two mountains.

Answer:

It's shorter than Mt. Massive but it's shorter than Mt. Alverstone.

The number between 14,500 and 14,428 is 14464, that would be a great guess

Answer:

|x|=9

Step-by-step explanation:

Absolute value is |x|=9

The expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2.

The model of the height is represented by the following sinusoidal model:

[tex]H(3t) = D \cdot \sin [B(3t)+E][/tex] (1)

Where:

Then, the expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2. [tex]\blacksquare[/tex]

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Answer: 3/10

Step-by-step explanation:

Give me feedback if I am wrong.

Answer:

0.6-0.3=0.3. convert to fraction=1/3

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

[tex]\boxed{\boxed{\bold{Options~A~and~C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Answer:

dont cheat

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$34.50

Step-by-step explanation:

$46*.25 = $11.50

$46 - 11.50 = $34.50

Solution:

We know that:

This means that:

Step-1: Convert "25%" into a fraction.

Step-2: Find the discounted price.

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

Answer:

not clear.

please send another..

Answer:

conclusion statement four sentences about you and exothermic heat was realised or absorbed it was changed beacsue positive 9r negative.

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Answer:

3381 is the answer

Answer:

3,381

Step-by-step explanation:

hope this helps

The volume of each ball is: 22.45 in.³.

The height of the cone-shaped bag = 14 inches.

Volume of each ball = 4/3πr³ = 4/3π(1.75³) = 22.45 in.³.

Radius (r) of the cone-shaped bag = 1.75

Height (h) = ?

Volume of the cone-shaped bag = 44 cubic inches

44 = 1/3(3.14)(1.75²)h

44 = 3.2h

44/3.2 = h

h ≈ 14 inches.

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