Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zach makes his fence 8 feet long. Whose garden has the greater area? How much greater?

Answer:

y = 3x - 6

Step-by-step explanation:

What you do is you plug both points in for the equation 2 times and solve as a system of equations.

Equation of a line: y = mx + b

(x,y) = (3,3)

(x,y) = (6,12)

3 = 3m + b

12 = 6m + b

Subtract equations to get rid of b to solve for m.

12 - 3 = 6m - 3m + b - b

9 = 3m

m = 3

Plug m back into both equations get b.

3 = 3(3) + b

b = -6

12 = 6(3) + b

b = -6

y = 3x - 6

Answer:

[tex]\displaystyle y = 3x - 6[/tex]

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 + 12}{-3 + 6} = m \hookrightarrow \frac{9}{3} = m \\ \\ \boxed{3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 12 = 3[6] + b \hookrightarrow 12 = 18 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}} \\ \\ OR \\ \\ 3 = 3[3] + b \hookrightarrow 3 = 9 + b; -6 = b \\ \\ \boxed{\boxed{y = 3x - 6}}[/tex]

I am joyous to assist you at any time.

Answer: $827

Step-by-step explanation:

Given that :

Cash down payment = 5880

Payment at end of first year = 5880

Payment at end of second year = 5880

Interest rate = 5% = 0.05 compounded yearly

Let purchase amount = y

Amount left after cash down = amount on which interest is paid = y - 5880

Interest at end of first year :

(y - 5880) * 0.05 = 0.05y - 294

Amount to pay plus interest :

Amount left after cash down payment - amount paid at end of first year + interest

y - 5880 - 5880 + 0.05y - 294

y - 12054 + 0.05y

= 1.05y - 12054

2nd year interest :

(1.05y - 12054) * 0.05

= 0.0525y - 602.7

Amount left + interest = 2nd year payment

(1.05y - 12054) + (0.0525y - 602.7) = 5880

1.1025y - 12656.7 = 5880

1.1025y = 5880 + 12656.7

1.1025y = 18536.7

y = 18536.7 / 1.1025

y = 16813.33

Hence,

Sales price of washing machine = 16813.33

Total amount paid = (5880 + 5880 + 5880) = 17640

Interest paid = $(17640 - 16813.33) = $826.67

= $827

The total interest paid by him in this scheme, if the rate of interest is 5% compounded yearly is INR 826.67

Given:

Down payment = INR 5880

Payment at end of first year = INR 5880 (same as down payment)

Payment at end of second year = INR 5880 (same as down payment)

Interest rate = 5%

= 5/100

= 0.05 compounded yearly

Amount of purchase = x

Amount remaining after down payment

= x - 5880

Interest at end of first year :

(x - 5880) * 0.05(5,880)

= 0.05x - 294

Amount to pay plus interest = Amount remaining after down payment - amount paid at end of first year + interest

= x - 5880 - 5880 + 0.05x - 294

= x - 12,054 + 0.05x

= 1.05x - 12,054

2nd year interest :

(1.05x - 12054) * 0.05

= 0.0525x - 602.7

Amount left + interest = 2nd year payment

(1.05x - 12054) + (0.0525x - 602.7) = 5880

1.1025x - 12656.7 = 5880

1.1025x = 5880 + 12656.7

1.1025x = 18536.7

divide both sides by 1.1025

x = 18536.7 / 1.1025

x = 16,813.33

Therefore, The cost of washing machine b is INR 16,813.33

Total amount paid = (5880 + 5880 + 5880) = INR 17,640

Amount of Interest paid = (17640 - 16813.33)

= INR 826.67

Read More:

https://brainly.com/question/18456266

Answer:

Step-by-step explanation:

Given function to be graphed is,

f(x) = -0.25x + 4

Table for the graph of the given function will be,

x        -2         0         2          4           6          8

f(x)     4.5       4        3.5        3          2.5        0

Now we can plot these points on the graph to find a line.

Graph of the linear function will be as the graph attached.

Answer:

Step-by-step explanation:

I took the test

Step-by-step explanation:

[tex]4\left(3\cdot \:8-x\right)=4[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(3\cdot \:8-x\right)}{4}=\frac{4}{4}[/tex]

[tex]Simplify[/tex]

[tex]24-x=1[/tex]

[tex]\mathrm{Subtract\:}24\mathrm{\:from\:both\:sides}[/tex]

[tex]24-x-24=1-24[/tex]

[tex]Simplify[/tex]

[tex]-x=-23[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{-23}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=23[/tex]

Answer:

[tex]x=23[/tex]

Step-by-step explanation:

[tex]4(3\cdot8-x)=4[/tex]

Divide both sides by 4:

[tex]\implies 3\cdot8-x=1[/tex]

Add x to both sides:

[tex]\implies 3\cdot8=x+1[/tex]

Multiply 3 × 8:

[tex]\implies 24=x+1[/tex]

Subtract 1 from both sides:

[tex]\implies 23=x[/tex]

Answer:

See below.

Step-by-step explanation:

∠D = 180° - 30° = 150°

P = 2(16 + 25) = 2(41) = 82 cm

The correct option is :-

B) ∠D = 150°, P = 82 centimeters, A = 200 square centimeters

Answer:

KR //MT

Since angle JKR and LMT are equal as they are corresponding angle.

Answer:

D: -12

R:6

Step-by-step explanation:

I hope this right

Answer:

300 kg

Step-by-step explanation:

Let Constant Ratio be x:

x+3x+5x = 540

9x = 540

x = 60 kg

So, weight of gravel (W) = 5x

5 x 60

W = 300 kg (ANS)

Answer:

for the top, it is 120n-150=45n

The bottom is 75

Step-by-step explanation:

Hope this helps!! ;-)

Answer:

y=5x+7

Step-by-step explanation:

y-y₁=m(x-x₁) will be our starting equation

Now input (-2, -3) and 5 as our slope because a parallel line has the same slope.

y-(-3)=5(x-(-2))  Input

y+3=5(x+2)      Simplify

y+3=5x+10      Distribute 5 into the parenthesis

y=5x+7            Subtract 3 from both sides

Answer:

y=5x+7

Step-by-step explanation:

Answer:

78,780

Step-by-step explanation:

Given:

Number of chocolates made in 1 day = number of chocs/hr × number of hours

= 6060 × 13

= 78,780

Answer:

oops i forgot the answer o well ill just play fortnite

Step-by-step explanation:

Answer:

B) Line 2

i hope this work for you

and sory if im wrang

Answer:

Step-by-step explanation:

First, we expand the brackets, so we have

4x + 10 = 5x - 20, then we collect like terms to have

5x - 4x = 10 + 20, then we sum them up

x = 30

There you go

Answer: 7 feet

Step 1: Add the values of the sides we know the length of.

9 + 9 + 10 = 28.

Step 2: Subtract the number 28 from 35.

35 - 28 = 7

The answer is 7. Hope this helps!

Answer:

35 - 28 = 7

Step-by-step explanation:

7

Thanks bro...

Answer:

the second one is 2 the third one is 0 the forth one is 5 and the fifth one is 4

Step-by-step explanation:

because there is 1 more white than red in the first one

Answer:

[tex](x+5)^2=4[/tex]

Step-by-step explanation:

We have:

[tex]x^2+10x+21=0[/tex]

First, subtract 21 from both sides:

[tex]x^2+10x=-21[/tex]

Now, we can complete the square. We will divide the coefficient of the b term and square it. So:

[tex](\frac{b}{2})^2\Rightarrow(\frac{10}{2})^2=(5)^2=25[/tex]

So, we will add 25 to both sides:

[tex](x^2+10+25)=-21+25[/tex]

The left is the perfect square trinomial pattern. Add on the right:

[tex]((x)^2+2(5)(x)+(5)^2)=4[/tex]

Final step:

[tex](x+5)^2=4[/tex]

Answer:

3816547290

Step-by-step explanation:

this is from a puzzle called notable numbers

Answer:

The Standard Deviation is a measure of how spread out numbers are. You might like to read this simpler page on Standard Deviation first. But here we explain the formulas. The symbol for Standard Deviation is σ (the Greek letter sigma)

Answer:

Shows the variation in data(average of all means of the data)

Step-by-step explanation:

Ok,so, if for example, data is grouped close together, then the standard deviation will be small, if the data is more spread out then the deviation will be larger.  How to tell?

Well, it all depends on the distance away from the mean. The center is usally where the mean is. How far from the mean is your data?

How to calculate?

-There are multiple equations you can use depending on your data.

If you are analyzing data which represents a larger set, use sample standard deviation, if you collect data from every member of the set, then use population standard deviation.

First, calculate the mean(average) of each set of data.

Then subtract the deviance(subtract mean from each number -/+)

Square each deviation

add up all squared deviations

Divide the number by one less than the number of items in the data. (If it was 5 it would be 4.)

Then calculate the square root of the resting value.

Answer:

hey do you still need the answer

Step-by-step explanation:

Answer: 99

Step-by-step explanation:

Supplementary angles add to 180 degrees, 180-81=99

Answer:

  d.  x = 10  (the correct answer is marked)

Step-by-step explanation:

The Pythagorean theorem tells you the sum of the squares of the sides of a right triangle is the square of the hypotenuse.

  x² +4² = (2√29)²

  x² +16 = 116 . . . compute the squares

  x² = 100 . . . . subtract 16

  x = 10 . . . . take the square root

Answer:

d) [tex]\sf x=10[/tex]

Step-by-step explanation:

Pythagoras' Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where [tex]\sf a[/tex] and [tex]\sf b[/tex] are the legs, and [tex]\sf c[/tex] is the hypotenuse, of a right triangle)

Given:

Substituting these values into the equation and solving for [tex]\sf x[/tex]:

[tex]\sf \implies 4^2+x^2=(2\sqrt{29})^2[/tex]

[tex]\sf \implies 16+x^2=116[/tex]

[tex]\sf \implies x^2=116-16[/tex]

[tex]\sf \implies x^2=100[/tex]

[tex]\sf \implies x=\pm \sqrt{100}[/tex]

[tex]\sf \implies x=\pm10[/tex]

Since distance is positive, [tex]\sf x=10[/tex] only

Therefore, the answer is d) [tex]\sf x=10[/tex].

Answer:

60 degrees

Step-by-step explanation:

Answer:

The answer is 60

Step-by-step explanation:

45-60 = -15

Answer:

This is the answer, and I'm not very sure of it

Answer:

yes a 1:1 ratio

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

6 inches

Step-by-step explanation:

6 inches is the only feasible answer because if the length is 6 inches, you have 6 + 6  which equals 12. This leaves 2 more units for the perimeter so the width would be 1 unit. The other choices could not exist, because 7 x 2 is 14 (no units left for width, and the width of a rectangle cannot be 0), 8 x 2 is 16, and 9 x 2 is 18.

Answer:

true

Step-by-step explanation: