I run at a constant pace, and it takes me 18 minutes to run to the store from my house. If the store is 2 miles away, and my friend's house is 1 mile away from my house, how many minutes will it take me to run from my house to my friend's house?

[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]

We know f, now we want the 12f+1

Therefore, Substitute f = 9/6 in 12f+1

[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]

If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.

Answer:

soln

18x-3=12

18x=15

so,x=5/6

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]

Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

[tex]y<-\frac{1}{4}x+1[/tex]

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]

Use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

[tex]y=-\frac{1}{4}x+1[/tex]

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

[tex]y<-\frac{1}{4}x+1[/tex]

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

Answer:

Binomial

Step-by-step explanation:

how many terms are in the equation?

2 = Binomial

Answer: Binomial

Step-by-step explanation:

It contains two terms in 6p-8 (6p, and 8)

Thus it is binomial

Monomial: contains one term

binomial: contains two terms

trinomial: contains three terms

Hope this helps!! :)

Please let me know if you have any question

Answer:

Step-by-step explanation:

Step-by-step explanation:

2x + 8y = 12 ......... Equation 1

x - 2y = 0 .............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 2y

We have

2(2y) + 8y = 12

4y + 8y = 12

12y = 12

Divide both sides by 12

y = 1

Substitute y = 1 into x = 2y

That's

x = 2(1)

x = 2

The answers are

x + y = 7......... Equation 1

2x + y = 5 ......... Equation 2

Make y the subject in equation 1 and substitute it into equation 2

We have

y = x - 7

2x + x - 7 = 5

3x = 7 + 5

3x = 12

Divide both sides by 3

x = 4

Substitute x = 4 into y = x - 7

y = 4 - 7

y = - 3

We have the answers as

y = -1/2 + 1 ......... Equation 1

2x + 3y = 6 ........ Equation 2

From equation 1

y = 1/2

Substitute y = 1/2 into Equation 2

So we have

2x + 3(1/2) = 6

2x + 3/2 = 6

2x = 6 - 3/2

2x = 9/2

Divide both sides by 2

x = 9/4

The answers are

2x - 1/3y = - 9.......... Equation 1

-3x + y = 15 ........... Equation 2

Make y the subject in equation 2 and substitute it into equation 1

That's

y = 15 + 3x

2x - 1/3( 15 + 3x) = - 9

2x - 5 - x = - 9

x = - 9 + 5

x = - 4

Substitute x = - 4 into y = 15 + 3x

That's

y = 15 + 3(-4)

y = 15 - 12

y = 3

The answers are

Hope this helps you

Answer:

it makes the goals easier to reach

Step-by-step explanation:

you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.

5 benefits of breaking down ones periodic savings have been listed below.

Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.

Now, budgeting is very important because it helps to do the following;

- Helps to ensure you spend money appropriately on things that you really need and not just wants.

- Helps you to effectively monitor your spending habits/patterns.

- Helps you to meet your financial goals.

- Helps you to make good decisions on things that involve finance.

- Helps you to monitor your progress in savings or interest as the case may be.

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Answer:

Expression for perimeter of rectangle is:

[tex]\bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Step-by-step explanation:

Width of rectangle is given as [tex]( 3.1 s - 1.6 )[/tex] centimeters and

length  of the rectangle is given as [tex](7.2s - 4.6)[/tex] centimeters.

To find:

The expression to represent the perimeter of rectangle in centimeters.

Solution:

First of all, let us have a look at the formula to calculate the perimeter of a rectangle.

Perimeter of a polygon is equal to sum of all the sides.

In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.

Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.

So, formula:

[tex]Perimeter = 2(l+w)[/tex]

Where [tex]l[/tex] is the length of rectangle and

[tex]w[/tex] is the width of rectangle.

Putting the values of length and width as given in the question statement to find its perimeter:

[tex]Perimeter = 2((3.1s-1.6) +(7.2s-4.6))\\\Rightarrow Perimeter = 2(10.3s-6.2)\\\Rightarrow \bold{Perimeter = (20.6s-12.4)\ centimeters}[/tex]

Answer:

yes

Step-by-step explanation:

Answer: Yes it is, because this is written as a simple fraction. A non-simple fraction would be something like 2 1/2. Having that extra whole number in front makes it complex!

Step-by-step explanation:

Answer:

5 feet 1 inches

Step-by-step explanation:

if 1 foot is 12 inches.

Then, 60 ÷ 12

= 5

So, 61 inches tall = 5 feet 1 inches.

The answer is 5 feet 1 inches.

The Height of Alex in feet is 5.0833 feet.

To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.

Let's denote the height of Alex in inches as H in and her height in feet as H ft.

H in = 61 inches

H ft = ?

The equation to convert inches to feet is:

H ft = H_ in / 12

Substituting the value of H in into the equation, we have:

H = 61/12

H ft ≈ 5.0833 feet

Therefore, Alex's height is 5.0833 feet.

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Answer:

Just do what you did in school

Step-by-step explanation:

Like example you did algebra exercise 1 2 and 3

do the same at home by yourself

Answer:

-39

Step-by-step explanation:

just took the quick check

Answer:

y = 3/2

Step-by-step explanation:

5(2y - 1) - 2(3y) = 1

First we use distributive property:

10y - 5 - 6y = 1

because 5 × 2y = 10y

and -2 × 3y = -6y

Now we combine the like terms:

4y -5 = 1

because 10y - 6y = 4y

Now we have to send the -5 to the other side. (when we send it to the other side it becomes positive because right now it is negative)

4y = 1 + 5

Again we combine the like terms:

4y = 6

(because 5 + 1 = 6)

Now we have to send the 4 to the other side because we need to get the y value. (when we send it to the other sidr it will be divided)

y = 6/4

and we simplify:

y = 3/2

And we cannot simplify or do anything else. So that is the answer.

Hope that helped!

The total lease cost assuming that the deposit is nonrefundable is $14046.

The term "Leasing Costs" refers to all fees paid or benefits granted to a tenant under an existing lease or a new lease, including I commissions for leasing or brokerage services, (ii) direct payments, tenant improvement allowances, work letters, or free rent, and (iii) rent allowances or rent credits.

Given:

Length of lease: 24 months

MSRP of the car: $21,400

Purchase value of the car after lease: $17,100

So, Monthly payment= $479

So, Monthly payment after 24 month

= 11496

Thus, total lease cost =  Down payment + Security deposit + Acquisition

                                                                                                             fee

                                                               + payment for 24 months

Total lease cost = 1500+ 350+ 700+ 11496

                           = $14046

Hence, the lease cost is $14046.

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Answer:

A scientific idea can become a theory when you have enough prove to back it up and when it is supported by other scientists.

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

[tex]P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Putting their values,

[tex]P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } [/tex]

[tex]P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } [/tex]

Simplifying them we get,

[tex]pq = \sqrt{58} [/tex]

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

Answer:

1

Step-by-step explanation:

The coefficient is the number in front of the variable.  Since there is not a number written, there is an implied 1

x+4

1x+4

The coefficient is 1

Answer:

(5 x + 4) (x - 1)

Step-by-step explanation:

Factor the following:

x (5 x + 4) - (5 x + 4)

Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).

Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):

Answer: (5 x + 4) (x - 1)

Answer:

13%

Step-by-step explanation:

Given:

Apply discount:

Add VAT:

Solving the quadratic equation we get:

Then

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

Answer: I think it's C

Step-by-step explanation: hope it helps

Answer:

5x = 45

Step-by-step explanation:

x represents marcos

4x represents Share

5x = 45

x = 9

4x = 36

Share is 36 and Marcos is 9

Answer:

4x+x =45

Step-by-step explanation:

x would be marcos, since we do not know his age, and share is 4x that amount, so you would have 4x(shares age) plus x(marcos age) to get your answer.

Answer : The value of x is 100.

Step-by-step explanation :

According to the question, the FH makes a line in which point G is present in between the line FH.

The diagram is shown below.

Given:

FG = (2x) meters

GH = 1000 meters

FH = 1200 meters

Now we have to calculate the value of x.

As we know that:

FH = FG + GH

Now putting all the given values in this expression, we get:

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100

Therefore, the value of x is 100.

Answer:

16√3

Step-by-step explanation:

(4√6)(2√2)

4*2√6*2

8√12=8√4*3=8*2√3

16√3