Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2

Answer:

[tex]\boxed{y=-2x+25}[/tex]

Step-by-step explanation:

First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.

4x + 2y = 50

2y = -4x + 50

y = -2x + 25

Answer:

[tex]y=-2x+25[/tex]

Step-by-step explanation:

To find the slope-intercept form of the equation, we just need to isolate the y-variable.

So we have the equation:

[tex]4x+2y=50[/tex]

First, subtract 4x from both sides. The 4xs on the left cancel:

[tex](4x+2y)-4x=50-4x\\2y=-4x+50[/tex]

Now, divide both sides by 2. The 2s on the left cancel:

[tex]\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}[/tex]

Simplify the right side. Expand the fraction:

[tex]y=\frac{-4x}{2}+\frac{50}{2} \\[/tex]

Cancel out the terms:

[tex]y=-2x+25[/tex]

Therefore, the slope-intercept form is:

[tex]y=-2x+25[/tex]

Total Cost Of Shoe=2500

Totall discount Cost=2000

= 2500-2000

=500

Answer: 16

Step-by-step explanation:

64/4=16

n=16

Answer:

16

Step-by-step explanation:

4n = 64

n = 16 --------> Divide by 4 on each side

Area = pi x r^2

R = 7/2 = 3.5

Area = 3.14 x 3.5^2

Area = 38.5 m^2

Answer:

They either both have to be positive or negative.

Step-by-step explanation:

1 / 1 = 1

-1 / -1 = 1

This gets you positive, when both dividend and divisors are positive or negative.

-1 / 1 = -1

1 / -1 = -1

This gets you negative, when both dividend and divisors are different signs.

Answer:

Step-by-step explanation:

Both dividend and divisor have same sign -  

(i) both have positive sign  or

(ii) both have negative sign

Eg:

(i) [tex]\frac{10}{2}=5[/tex]

(ii)[tex]\frac{-10}{-2}=5[/tex]

Answer:

Step-by-step explanation:

No, because unit prices are different.

[tex]\frac{9.00}{150}[/tex] = $0.06 per gram

[tex]\frac{12.50}{250}[/tex] = $0.05 per gram

[tex]\frac{22.75}{325}[/tex] = $0.07 per gram

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

Answer:

$635

Step-by-step explanation:

$5x7 birdhouses=$35want

So, $35+$600=$635 total!

I hope this helps you!

Multiplication is the process of multiplying. The cost of building 7 birdhouses will be $635.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The cost of the birdhouse is the sum of the fixed cost, which is the setup cost of the business of $600, and the variable cost is the cost that is needed to make a single house, therefore, $5.

Now, the total cost of making n number of houses will be,

Cost of making n house = Fixed cost + variable cost

                                        = $600 + $5(n)

Further, the table can be filled using the above formula by substituting the value of n for the number of houses. Therefore,

Number of bird houses     Total cost to build

       1                                     $600+$5(1) = $605

       2                                    $600+$5(2) = $610

       3                                    $600+$5(3) = $615

       4                                    $600+$5(4) = $620

       5                                    $600+$5(5) = $625

       6                                    $600+$5(6) = $630

       7                                    $600+$5(7) = $635

Hence, the cost of building 7 birdhouses will be $635.

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Step-by-step explanation:

It looks like you have to draw a figure and then label every side with how long it is.

This first shape is a pentagon because it has 5 sides, and for each side of the pentagon the length would be 3/5 so .6 inches.

The second shape is a square because it has 4 sides, you than would label each side as 1 ft, because when you add them all it equals 4.

The third shape is a triangle with 3 equal sides. When you divide 16.8/3 it shows thag each side of this triangle will be labeled with 5.6 meters.

Answer:

See step by step explantation

Step-by-step explanation:

Step 1. given

Step 2. Subtraction property of equality

Step 3. Simplification

Step 4. Subtraction property of equality

Step 5. Simplification

Step 6. Multiplication property of equality

Step 7. Simplification

Answer:

3.25

Step-by-step explanation:

μX = 2(0.3) + 3(0.2) + 4(0.4) + 5(0.1) = 3.3

The mean of the distribution represented by the histogram is 3.25

The mean is the product of the value of X and its corresponding probability (P(x)).

The mean can be expressed thus :

From the histogram :

Mean = (1 × 0.05) + (2 × 0.2) + (3 × 0.35) + (4 × 0.25) + (5 × 0.15)

Mean = 0.05 + 0.40 + 1.05 + 1.00 + 0.75 = 3.25

Therefore, the mean value of the distribution depicted by the histogram ls 3.25

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Answer:

G = 1, 9.

Step-by-step explanation:

There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.

Answer:

x=17

Step-by-step explanation:

I hope you understood well !

Answer:

x = 17

Step-by-step explanation:

3x + 16 +45 + 68 = 180

             3x + 129 = 180

Subtract 129 form both sides

          3x + 129 -129 = 180 - 129

                           3x = 51

Divide both sides by 3

                         3x/3 = 51/3

                              x = 17

Answer:(x,z)=(5,-3)

Step-by-step explanation:

Given

We move  5 units in x-axis

3 units in downward along z-axis

Suppose a z-axis is vertical and x -axis is horizontal as shown in fig.

So, coordinates after movement is given by the movement along x-axis and z-axis.

So, final coordinates is (5,-3) in x-z Plane .

As there is no movement in z-axis , so Y-coordinate will remain zero.

Expand the products on both sides:

[tex]a(y+c)=b(y-c) \implies ay+ac=by-bc[/tex]

Move all terms containing y to one side:

[tex]ay+ac=by-bc \implies ay-by=-ac-bc[/tex]

Factor out y :

[tex]ay-by=-ac-bc \implies y(a-b)=-ac-bc[/tex]

Solve for y :

[tex]y(a-b)=-ac-bc \implies y=\dfrac{-ac-bc}{a-b}=-\dfrac{c(a+b)}{a-b}=\dfrac{c(a+b)}{b-a}[/tex]

Answer:

HOME CARE & WELLNESS BASIC PET CARE HOW LONG CAN YOU SAFELY LEAVE A CAT ALONE?

BASIC PET CARE

How Long Can You Safely Leave a Cat Alone?

How Long Can You Safely Leave a Cat Alone?

People who live with cats know that they're not nearly as aloof or independent as alleged. Although cats don't require daily walks like dogs, your presence matters to them… and not only because you have the ability to open a can, fill a water bowl and clean a litter box.

Still, there may be times when you must leave your adult cat for overnight or longer. (Kittens younger than four months should not be left alone for more than four hours. Older than that, they can handle another hour or so. When they reach six months, they can tolerate an eight-hour day without company.)

The length of time you can leave a grown-up cat alone depends on the cat, his diet and your environment. Cats who eat dry food that you can make readily available may be left on their own for 24-48 hours as long as fresh water is accessible as well. Beyond that time frame, water may get too dirty to drink and the litter box full.

To prepare for leaving your cat alone, take steps to make your absence as low‐stress on him as possible. This should include a conversation with your veterinarian.

Answer:

31

Step-by-step explanation:

multiple 5 into 7 that is equal to I week than find the answer that is equal to 35 and minas it by 4 that is equal to 31

Answer:

(4,2) is the answer on AP EX

The coordinate of the image of point A is (-4,-2)

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

The coordinate of A is (4,-2)

When it is reflected across y axis, the coordinate (x,y) changes to ----> (-x,y)

So, the coordinates of A (4,-2) changes to (-4,-2)

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Answer:

it was helpful to you ✌︎✌︎✌︎✌︎✌︎✌︎✌︎➪♧︎︎︎

[tex]4 {x}^{2} - 25 {y}^{2} \\ (2 x) {}^{2} - {(5y)}^{2} \\ (2x + 5y)(2x - 5y)[/tex]

Answer:

[tex] = 1)(2x - 5y {)} \times (2x + 5y)[/tex]

Step-by-step explanation:

[tex]1) {4x}^{2} - 25 {y}^{2} [/tex]

[tex] = {2}^{2} {x}^{2} - 25 {y}^{2} [/tex]

[tex] = {2}^{2} {x}^{2} - {5}^{2} {y}^{2} [/tex]

[tex] = (2 {x)}^{2} - {5}^{2} {y}^{2} [/tex]

[tex] = ( {2x)}^{2} - (5 {y)}^{2} [/tex]

[tex] = (2x - 5y) \times (2x + 5y)[/tex]

[tex]2)4x^{2} - 35 {y}^{2} [/tex]

[tex] = {2}^{2} {x}^{2} - 5y \times 7 {y} [/tex]

[tex] =(2x {)}^{2} - (5y \times 7y)[/tex]

Answer:

A.  [tex]Claire = 20250[/tex]

B.   [tex]Richard = 9350[/tex]

C.    Height = 3.2 feet

D. Charges = $760

Step-by-step explanation:

Given

[tex]Claire = 50x^2 + 250[/tex]

[tex]Richard = 40x^2 + 350[/tex]

Solving (a): Claire's 20ft charges

In this case, x = 20

Substitute 20 for x in [tex]Claire = 50x^2 + 250[/tex]

[tex]Claire = 50(20)^2 + 250[/tex]

[tex]Claire = 50(400) + 250[/tex]

[tex]Claire = 20000 + 250[/tex]

[tex]Claire = 20250[/tex]

Solving (b): Richard's 15ft charges

In this case, x = 15

Substitute 20 for x in [tex]Richard = 40x^2 + 350[/tex]

[tex]Richard = 40(15)^2 + 350[/tex]

[tex]Richard = 40(225) + 350[/tex]

[tex]Richard = 9000 + 350[/tex]

[tex]Richard = 9350[/tex]

Solving (c): Height which they both charge the same;

This implies that

[tex]50x^2 + 250 = 40x^2 + 350[/tex]

Solving for x [Collect Like Terms\

[tex]50x^2 - 40x^2 = 350 - 250[/tex]

[tex]10x^2 = 100[/tex]

Divide both sides by 10

[tex]x^2 = 10[/tex]

Take square roots of both sides

[tex]x = \sqrt{10}[/tex]

[tex]x = 3.2ft[/tex]  (Approximated)

Hence; Height = 3.2 feet

Solving (d): How much they charge when the charge the same amount.

Substitute 3.2 for x in any of the given equation

[tex]Claire = 50x^2 + 250[/tex]

[tex]Claire = 50(3.2)^2 + 250[/tex]

[tex]Claire = 50*10.24 + 250[/tex]

[tex]Claire = 512 + 250[/tex]

[tex]Claire = 762[/tex]

[tex]Richard = 40x^2 + 350[/tex]

[tex]Richard = 40(3.2)^2 + 350[/tex]

[tex]Richard = 40 * 10.24 + 350[/tex]

[tex]Richard = 409.6 + 350[/tex]

[tex]Richard = 759.6[/tex]

The reason for the difference is due to approximation

Hence, they both charge approximately 760

Answer:

The price of the game is 33.75

Step-by-step explanation:

45% of 75

.45 * 75

33.75

The price of the game is 33.75

Answer:

60.1508310

Step-by-step explanation:

60 tens=60.

1 tenth=1.0

83 hundredth=83.00

150 thousandth=150.000

Tenth=1 decimal place

Hundredth=2 decimal place

Thousandth=3 decimal place

150.000

83.00

1.0

1508310

60.1508310

Answer:

The third table is the correct answer

Step-by-step explanation:

Here in this question, we are concerned with determine which of the tables correctly represents what an exponential function is.

An exponential function is a function of the form;

y = x^n

where the independent variable x in this case is raised to a certain exponent so as to give the results on the dependent variable axis (y-axis)

In the table, we can see that we have 2 segments, one that contains digits 1,2 and so on while the other contains purely the powers of 10.

Now, let’s set up an exponential outlook;

y = 10^x

So we have;

1 = 10^0

10 = 10^1

1/10 = 10^-1

1000 = 10^3

1/100 = 10^-2

We can clearly see here that we have an increase in the value of y, depending on the value of the exponent.

However it is only this table that responds to this successive correctness as the other tables in the answer do have a point where they fail.

For example;

10^-2 is not 10 which makes the fourth table wrong

10^4 is not 100 which makes the first table wrong

we have same error on second table too

Answer:

The slope of the line is 2

Step-by-step explanation:

y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2

Answer:

its 2

comment for more understanding

Good luck

Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

Answer:

Step-by-step explanation:

Hello, let's say that the price was P, a real number.

After 20% discount it become P - 20% * P = P* (1-20%) = P * (1 - 0.2)

= P * 0.8

And then we take 15% for the VAT, the new price become P * 0.8 * ( 1 + 15%)

= P * 0.8 * 1.15

And this is equal to 22080, so

P * 0.8 * 1.15 = 22080

and the amount of the VAT is P *0.8 * 0.15

[tex]=\dfrac{22080}{1.15}*0.15=2880[/tex]

Hope this helps.

Thank you.

Answer:

0.012

Step-by-step explanation:

Have a good day.

Answer:

.01

Step-by-step explanation:

Change the percent to decimal form

.04% = .0004

.0004 *30

.012

Round to the nearest hundredth

.01

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

Answer:

see details below

Step-by-step explanation:

a) week 1 :  #10" / (#10"+#12") = 509 / 736 =  69% (to nearest percent)

b) week 2 :  #10" / (#10"+#12") = 766 / 1076 = 383/538 = 71% (to nearest percent)

A).69% for week 1

B)71% for week 2