Write the equation of the line with the given slope and y-intercept

If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.

The area of Rectangle is length times of width.

Given,

Area of rectangular field is  646 square feet.

width of the field is 19 feet.

We need to find the length of the field.

Area of rectangle=Length×Width

646=Length×19

Divide both sides by 19

Length=646/9

Length=71.77 feet

Hence 71.77 feet is the length of the field.

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Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Answer:

Step-by-step explanation:

Testing if 6 is the solution:

6 is not a solution

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Solving for x:

Answer:

x = 7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

its 6

Answer:

yes sirr

Step-by-step explanation:

yes sirr

Answer:

yes sirrrrrrrrrrrrrrrrrrrr

Answer:

(4,2)

Step-by-step explanation:

hope this answerss

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

Answer:

g = -10

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

Answer:

-5/18 >4/3

Step-by-step explanation:

Make this brainliest , thank you!

Answer:

tanZ = [tex]\frac{20}{15}[/tex]

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent}[/tex] =  [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]

Answer:

x^2-5x-24

Step-by-step explanation:

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

Answer:

576 feet.

Step-by-step explanation:

5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.

a - Distance = Time x Speed

Time =Distance / Speed

 D / 12  +  D / 8 = 120, solve for D

b - D = 576 feet from the hive to the flowerbed.

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

Answer:

f=-1/9

Step-by-step explanation:

Answer:

First, isolate the variable, f. Subtract 4 to both sides to result with 2f > -7f -1.

Then, add 7f to both sides to result with 9f > -1. Now, we can divide 9 to both sides to get f > -1/9.

Answer:

6 batches is the least amount.

Step-by-step explanation:

Answer:

0.51

Step-by-step explanation:

Answer:

maths challenge>

Step-by-step explanation:

samee

Answer:

The correct answer is 70.

60+50=110

180-110=70

the angels x and y are equivalent

Step-by-step explanation:

hoped this helped

✩brainliest appreciated✩

Answer:

the answer is dododoodod

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

2 3/5 x 5/6

convert the 2 3/5 to an improper fraction so it can be easier to multiply

2 3/5 = 13/5

13/5 * 5/6

All you need to do is multiply across. Both denominators, and both numerators.  

13 * 5 = 65 (numerator)

5 * 6 = 30 (denominator)

65/30 and that is in an improper form

2 5/30 = 2 1/6 = In a simplified mixed number

2 1/6

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

x + 8*19

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.

A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.

Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7

The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.

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Work Shown:

There are,

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

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

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

Answer:

8,17    Answer B.

Step-by-step explanation: