The area of a rectangle is represented by the formula A = lw, where I is the length
and w is the width. Solve the formula(equation) for width(w). *

Complete Question

You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the terms of year t. (Let t=16 represent 2016)

2016 Value     Rate

$2150           $250 increase per year

Answer:

The  equation is  [tex]V(t) = 250 (t) + 4.3[/tex]

Step-by-step explanation:

Generally linear equation is represented mathematically as follows

      [tex]y = mx + c[/tex]

Where  y is the dependent variable which in this case is  dollar value of a product (V(t))

   x is the independent variable which in this case is the time in years(t)

  m is the slope which in this case is the  rate at which the value of the product is expected to change during the next 5 years

So  

        [tex]V(t) = m t + c[/tex]

When  t =  16  years

         [tex]2150 = 250 (16) + c[/tex]

=>       [tex]c = 4.3[/tex]

So the linear equation is  

      [tex]V(t) = 250 (t) + 4.3[/tex]

Answer:

17

Step-by-step explanation:

$4.25 - 17 quarters

$3.10 - 31 dimes

Answer:

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan

Answer:

A

Step-by-step explanation:

Answer:

hi my friend I can't come to the school because of these three reasons is

1)I went to tirupati

2)I got I'll

3)I went to my grand parents house

this is your answer bro

Answer:

{ 1,2,3,4,5,6}

Step-by-step explanation:

Answer:

You need help or I need help?

Step-by-step explanation:

(I typed with a keyboard)

Answer:

1

Step-by-step explanation:

Answer:

=4

Step-by-step explanation

(20x5) divided by (20+5)

100 divided by       25=4

Answer:

its 4

Step-by-step explanation:

5 four times is 20. Count by fives and once you get to 4 you'll get 20.

Answer:

[tex]\large \boxed{\mathrm{C }}[/tex]

Step-by-step explanation:

The ray CF does not contain the ray CB.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

In the given number, there are six divisions A, B, C, D, E, F.

Ray CB is in the line segment AD, AE, FA, BE, BF.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

Learn more about the line segment here:

https://brainly.com/question/25727583.

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Step-by-step explanation:

Hey, there!!

While simplifying the algebraic expression, you must be very careful about the signs.

Here,

(6x-4) (9x-2)

Multiply 2nd expression by 1st expression,

= 6x ( 9x - 2) -4 ( 9x - 2)

[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]

Opening brackets,

[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]

Simplifying them we get,

[tex] = 54 {x}^{2} - 48x + 8[/tex]

Therefore, the answer is 54x^2 - 48x +8.

Hope it helps..

Answer:

Christopher needs 24 feet of fencing. Your rectangle should be 5x7 feet.

Step-by-step explanation:

Line PO is 5 feet wide, and we know that the side across from it is 5 feet wide. 5+5=10. The longer sides are supposed to be 2 feet longer than the shorter sides, so they have to be 7 feet long. 7+7=14. 10+14=24.

Answer:

[tex]\huge\boxed{B. [1,2,3,........]}[/tex]

Step-by-step explanation:

[tex]9x - 4 < 13 x - 7[/tex]

Combining like terms

=> [tex]-4 + 7 < 13x-9x[/tex]

=> [tex]3 < 4x[/tex]

Dividing both sides by 4

=> [tex]x > \frac{3}{4}[/tex]

=> [tex]x > 0.75[/tex]

This means that x can be any number that is greater than 0.75

So, The solution set = [1,2,3,........]

Answer:

C

Step-by-step explanation:

So we have the equation:

[tex]3x-7=x+3[/tex]

Subtract x from both sides. The right cancels:

[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]

Add 7 to both sides. The left cancels;

[tex](2x-7)+7=(3)+7\\2x=10[/tex]

Divide both sides by 2:

[tex](2x)/2=(10)/2\\x=5[/tex]

So, our answer is C

Answer:

C) x = 5

Step-by-step explanation:

A) 3(-5) - 7 = (-5) + 3

   -15 - 7 = (-5) + 3

   -23 = (-5) + 3

   -23 = -2 (they do not equal the same so no)

B) 3(2) - 7 = (2) + 3

    6 - 7 = (2) + 3

    -1 = (2) + 3

    -1 = 5 (they do not equal the same so no)

C) 3(5) - 7 = (5) + 3

    15 - 7 = (5) +  3

    8 =  (5) + 3

    8 = 8 (they equal the same so yes)

D) 3(-2) - 7 = (-2) + 3

    -6 - 7 = (-2) + 3

    -13 = (-2) + 3

    -13 = 1 (they do not equal the same so no)

Answer:

.837537537 =  

837537537

1000000000

Step-by-step explanation:

Answer:

0

-

1000000000

i think it will help you

Answer:

x = 5

Step-by-step explanation:

Given

9x - 3 - 8x = 7 - x , that is

x - 3 = 7 - x ( add x to both sides )

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

Step-by-step explanation:

Answer:

B. (-1, 2) and (4,7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

Even

Step-by-step explanation:

An odd number added by an odd number will equal an even number.

Good luck :)

Answer:

Even

Step-by-step explanation:

All the answers to adding up odd numbers in the bellow examples shows even answers.

Answer:

15x + 13

Step-by-step explanation:

Product of a number 'x' & 15 : x *15 = 15x

Sum of 15x & 13:

15x + 13

Answer:

[tex]\Huge \boxed{3+16i}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]3+\sqrt{-16} * 6-\sqrt{-64}[/tex]

Using imaginary number rule : [tex]\sqrt{-n} =\sqrt{n} *i[/tex]

Where [tex]n[/tex] is a positive integer.

[tex]3+\sqrt{16} *i* 6-\sqrt{64}*i[/tex]

[tex]3+4i* 6-8i[/tex]

Multiplying.

[tex]3+24i-8i[/tex]

Combining like terms.

[tex]3+16i[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

3 + 16i

Step-by-step explanation:

3 + √-16 * 6 - √-64

= √-16 * 6 = 24i;    √-16 * 6;     √-16 = 4i

= 4 * 6i    multiply the numbers 4 * 6 = 24

= 24 i

√-64 = 8i;   √64    apply a radical rule

= √-1 √64

= √64  i;    √64 = 8

= 8i

= 3 + 24i - 8i

= 3 + 16i

Answer:

x = 51

Step-by-step explanation:

(x-3) /4 = 12

Multiply each side by 4

(x-3) /4 *4 = 12*4

x-3 = 48

Add 3 to each side

x-3+3 = 48+3

x = 51

Answer:

[tex]\Huge \boxed{x=51}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x-3}{4} =12[/tex]

Multiplying both sides by 4.

[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]

[tex]x-3=48[/tex]

Adding 3 to both sides.

[tex]x-3+3=48+3[/tex]

[tex]x=51[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

66666.67 miles/hr

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]

So, the answer is: 66666.67 miles/hr

Answer:

d =(m-q)/a

Step-by-step explanation:

[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]

Answer:

d =  ( m-q)/a

Step-by-step explanation:

q+ad=m

Subtract q from each side

q-q+ad=m-q

ad = m-q

Divide each side by a

ad/a = ( m-q)/a

d =  ( m-q)/a

Answer:

Step-by-step explanation:

3 ∣ 861,1353

______________

41 ∣ 287,451

______________

7 ∣ 7,11

______________

11 ∣ 1,11

______________

      1,1

LCM = 3 × 41 × 7 × 11

= 9471.

Hope this helps

plz mark as brainliest!!!!!!

Answer:

861 = 3×7×41

1353 = 3×11×41

LCM = 3×7×11×41

= 9471

Step-by-step explanation:

Step-by-step explanation:

[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the values into the equation

[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]

[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]

[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]

To solve for x-intercept , Arrange the values in

[tex]ax + by + c = 0[/tex]

=

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]

To find x-intercept .let y = 0 in the above equation

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]

[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]

Solve for x ;

[tex]x = 2[/tex]

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

y = mx + b    

m = -²/₃ and line pases  through (-10, 8) so:

8 = -²/₃(-10) + b

8 = ²⁰/₃ + b

b = 8 - ²⁰/₃

b = 8 - 6²/₃

b = 1¹/₃

b = ⁴/₃

Slope Intercept Form:

x-intercept:

-²/₃x + ⁴/₃ = 0

-²/₃x =- ⁴/₃

x = - ⁴/₃ ÷(-²/₃)

x = 2                  

y-intercept:

y =  -²/₃•0+ ⁴/₃ =  ⁴/₃

Answer:

Step-by-step explanation:

Average speed is the change in distance of a body with respect to time. This is expressed as:

[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]

Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]

t₁ = 1sec and t₂ = 2 secs

y(t₂) = 56t₂ − 1.86t₂²

y(2) = 56(2) − 1.86(2)²

y(2) = 112-7.44

y(2) = 104.56

y(t₁ ) = 56t₁  − 1.86t₁ ²

y(1) = 56(1) − 1.86(1)²

y(1) = 56-1.86

y(1) = 54.14

Substituting the derived value into the formula for finding the average speed:

[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]

Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s

Answer:

-2380

Step-by-step explanation:

you first multiply 17 by 4

next multiply 68 by 35

you get 2380

finally add a negative sign in front of it

Answer:

The answer is

-8(2×5-7×2)

=-8(10-14).

= -8(-4)

= 32.

Answer:

Line n

Step-by-step explanation:

We see on the picture that XM=MY

So M is midpoint of the segment XY

Line n passes through midpoint M, so it is the segment bisector of XY

Correct choice is Line n

Answer:

2 + 4(n-1).

Step-by-step explanation:

As x increases from 1,  f(x) increases  by 4.

Arithmetic sequence.

So the formula is  a1 + d(n - 1)

= 2 + 4(n-1).

The function which defines the series will be 2 + 4(n-1).

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-

As x increases from 1,  f(x) increases by 4. Arithmetic sequence.

F = a₁+ d(n - 1)

F = 2 + 4(n-1).

Therefore, the function which defines the series will be 2 + 4(n-1).

To know more about the number series follow

https://brainly.com/question/6561461

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