A rectangular brick walkway has a length of ten feet and a width of four feet.The length and the width of the walkway will each be expanded by 25%.What will be the increase in the area,in square feet,of the walkway

Answers

Answer 1

Answer:

[tex]\boxed{\text{22.5 ft}^{2}}[/tex]

Step-by-step explanation:

Existing walkway

 l = 10 ft

w = 4 ft

A₁ = lw = 10 ft × 4 ft = 40 ft²

New walkway

Expanding a measurement by 25 % means that you multiply it by a factor of 1.25.

New length = 10 × 1.25 = 12.5 ft

New width =    4 × 1.25 =   5    ft

A₂ = lw = 12.5 ft × 5 ft = 62.5 ft²

Increase in area

A₂ - A₁ = 62.5 – 40 = 22.5 ft²

The increase in area is [tex]\boxed{\textbf{22.5 ft}^{2}}[/tex]


Related Questions

Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?

Answers

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

The equation of the line is y = (1/2)x - 4, where the slope is 1/2 and the y-intercept is -4.

Explanation:

The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the slope is 1/2 and the y-intercept is -4, so the equation of the line is y = (1/2)x - 4.

The slope of 1/2 means that for every increase of 1 on the horizontal axis, there is a corresponding increase of 1/2 on the vertical axis.

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the ratio of Males to females in the crowd at a rock concert is 5:4
there are 360 males in the crowd how many females are there​

Answers

Answer:

The number of females is 288.

Step-by-step explanation:

Let the number of females be x.

5:4 = 360:x

We can write the equal ratios as a proportion.

5/4 = 360/x

Cross multiply:

5x = 360 * 4

5x = 1440

x = 288

Answer: The number of females is 288.

Answer:

288 females

Step-by-step explanation:

We can write a proportion to solve, putting males over females

males         5                  360

------------ = ------------ = -------------

females         4                  x

Using cross products

5x = 360*4

5x =1440

Divide by 5

5x/5 = 1440/5

x = 288

There are 288 females

easy pllsssssss help

Answers

Answer:

87.5(the first one)

Step-by-step explanation:

first simplify 4 to the 5th power(20) and multiply by 4 to the -7th(-35) and you will get -700 divide that by 4 to the -2nd(-8) and you will get 87.5

Ok so I got 87.5 for the first one but I don't know about the other ones

If 4 ounces of cheese cost $1.85, then how much will a pound cost?

Answers

Answer:

$7.40

Step-by-step explanation:

https://sciencing.com/calculate-cost-per-pound-7595889.html

use this

which scale drawing of the parallelogram has a scale factor of 1/3 if the original parallelogram has lengths 6 cm and 15 cm​

Answers

Answer:

2 and 5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Jorge is building a table out of boards that are 3.75 inches wide he wants the table to be at least 36 inches wide what is the least number of boards he can use

Answers

Answer:

10

Step-by-step explanation:

If a board is 3.75 inches wide and he wants the table to be at least 36 inches wide, then we need to use the rule of three:

If a 1 board ---------------------------> 3.75 inches wide

    x             ---------------------------> 36 inches wide

x = (36 inches wide * 1 board)/3.75

x= 9.6 boards.

Like we cannot buy 9.6 boards, then we conclude that the least number of boards he can use is 10.

PLEASE HELP ME!!!! I WILL MARK BRAINLIEST!!!!!
THE QUESTIONIS IN THE PICTURE

Answers

Answer:

59 2/4

Step-by-step explanation:

Answer: 14.33 in³

Step-by-step explanation:

the volume of the box= L * W * H

V = 2 * 16/3 * 43/4 = 114.67 in³

114.67 takes up 8 servings

hence each serving will take up a volume of 114.67 in³/8 = 14.33 in³

Can some one answer this ASAP 15points sorry about the scribbles please give answers

Answers

Answer: THEIR HIDEOUT MUST BE CLOSE TO THE SCHOOL

Step-by-step explanation: U= 1  L=0  R= -2  I=24  M=17  H= -3  E=100  S= -439  O=11  B= -6  T= -41  D= 19  C=206

What are the x-intercepts of the graph of the equation above?

Answers

Answer: Option C

Step-by-step explanation:

The graph is of the quadratic equation is a parabola.

The parabola intercepts the x-axis when [tex]y=0[/tex].

Then, you need to substitute [tex]y=0[/tex] into the equation:

[tex]y=x^2+2x-8\\0=x^2+2x-8[/tex]

Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:

 [tex]0=(x-2)(x+4)\\\\x_1=2\\x_2=-4[/tex]

Therefore, the x-intercepts are:

 (-4,0) and (2,0)

Compare the two leagues and predict which league would be more likely to win a game.

Interpreting Data( written response)

Answers

Answer:

The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Comparing the data of wins and home runs for the 2 leagues given in the table, we can predict that;

The second league will be more likely to win a game than the first league.

This is about data comparisons and interpretation.

Now, from the 2 tables, we see 2 columns namely HR and W;

HR; This means Home Runs. This is gotten by hitting the ball in a baseball game over the outfield fence that stands in-between the foul poles and does not touch the ground first before going over the outfield fence. This means more home runs denotes more points.

W; This is the number of wins each team possesses. The more the games won, the more the points and the more chances of winning the league.

Now, from the above analysis, we have seen that More HR( Home runs) and more W(Wins) means more points and better chances of winning the league.

Comparing the two leagues, it is clear that second league has teams with more Home runs and more Wins than the first League.

In conclusion, we can say that The second league will be more likely to win a game than the first league.

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A cube-shaped gift is 11 centimeters long. What is the least amount of wrapping paper you need to wrap the gift?

Answers

You will need 721 centimeters of paper. This is because you take 11 and multiply it by 11 because a cube is equal in the length and the height. To find the total area of wrapping paper for one side you have to find the area. 11x11=121. Then you have 6 sides of the cube so you multiply 121x6=721 inches of wrapping paper to wrap the cube

Least amount of wrapping paper you need to wrap the gift = 726 cm²

What is total surface area of a cube?

The total surface area of a cube is equal to six times the area of one side of the cube.

Given,

Side length of the cube = 11 cm

Area of one side of the cube = side²

Therefore, area of one side of the cube =  11² cm²

                                                                   = 121 cm²

Total surface area of a cube = 6 × side²

                                                = 6 × 121 cm²

                                                = 726 cm²

Hence, least amount of wrapping paper you need to wrap the gift is 729 cm².

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what is the distance between the points (3,12) and (14,2)?​

Answers

Answer:

sqrt(221)

Step-by-step explanation:

The distance between two points is found by

d =sqrt( (y2-y1)^2 + (x2-x1)^2)

  = sqrt( (2-12)^2 + (14-3)^2)

  = sqrt((-10)^2 + (11)^2)

  = sqrt( 100+121)

 = sqrt(221)

 

How many solutions does 3/4(24-16x)=-2/3(18x-27) have?

Answers

Answer:

Step-by-step explanation:

Answer: An infinite number

Multiply both sides of the equation by 12

12  [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

3*3(24 - 16x) = - 2 * 4 (18x - 27)

9 ( 24 - 16x) = - 8(18x - 27)          

Remove the brackets.

216 - 144x = -  144x + 216

Any value for x will preserve the equality. Nice problem.

Final answer:

The equation 3/4(24-16x)=-2/3(18x-27) simplifies to an identity, implying that there are infinitely many solutions for x. Values like x=3 or x=-7 will satisfy the equation, which is a characteristic of an identity.

Explanation:

The equation in question is 3/4(24-16x)=-2/3(18x-27). To find the number of solutions, we begin by simplifying both sides and then solving for x. Let's do this step by step:

Multiply each term inside the parentheses by the fractions in front of them: 18 - 12x = -12x + 18.Notice that both sides of the equation are the same, which means every value of x is a solution. This type of equation is known as an identity.Since this is an identity, there are infinitely many solutions for x.

As a check, we can attempt to substitute possible values for x such as x=3 or x=-7 into the equation, and we'll find that they satisfy the equation, confirming our result.

PLEASE HELP WILL GIVE 10 POINTS. HURRYY

Answers

B. -4-1. -4-1=-5, which is the amount of you count the spaces in between.

Hope this helps!

wich of these terms does not described polygon ABC

Answers

the answer is d i think

will give brainliest!!!! worth lots of ponts plzz anser i need this !!!!!

Answers

Answer:

A; the rate of change is the same

Explanation:

The graph and the table appear to be the same

Answer:The rates change are equal. The graph has a greater rate change. The table has a greater rate change. So none of the above

Tanya and three friends have saved $75 to help protect the pandas. If they each gave the same amount, how much did each person contribute?

Answers

Answer:

Step-by-step explanation:

If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each

Which rule describes the translation?

Answers

C would be my guess, I just take the first letter w/o the apostrophe, and move it by each rule and see if it matches up with the letter with the apostrophe.

Answer:

C, (x,y) → (x + 8, y - 3)

Step-by-step explanation:

we can locate one point on the shape and use that as a reference point to see where it goes.

ABCD is the original shape, while A'B'C'D' is the translated shape

we start at ABCD, for this shape i picked the point B to follow

we count how many units the point B goes in order to get to B'. we start on the x axis, and see that it goes 8 units to the right. this is an increase, as its rising in value

from there, we follow the y axis, moving 3 units down. this is a decrease, as we are going 3 units down

so according to what we have moved in order to get from B to B', we moved 8 to the right so we have x + 8, with x being the x-coordinate the point was previously on. we have moved 3 units down to get from B to B', which is y - 3, with y being the y-coordinate the point was on previously

the answer to this is C, (x,y) → (x + 8, y - 3)

Four times a number, decreased by eight equals twelve. What is the number?

Answers

Let the number be x.

4x - 8 =12

4x =12 +8 ( you bring the eight over to the 12, it becomes positive )

4x = 20

x = 20÷4

x = 5

Final answer:

The problem is a basic algebra equation. It translates to 4x - 8 = 12, which can be solved by adding 8 to both sides and then dividing by 4 to get x=5. The answer is 5.

Explanation:

The subject of this question is Mathematics, specifically algebra. To solve this equation, start by translating the problem into a mathematical expression. This can be done as follows: 4 times a number is represented as 4x, then decreased by eight is -8 and the equation equals twelve (12).

Therefore, the equation is 4x - 8 = 12. To solve for x, you can start by adding 8 to both sides of the equation obtaining 4x = 20. Lastly, divide both sides by 4 to find x, which gives x = 5.

Therefore, the number that meets the condition '4 times a number, decreased by 8 equals 12' is 5.

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Matthew pays his employees $15 per hour for a 40 hour week and pays overtime at a rate of time and a half for hours over 40 hours in the same week. If Sophia works 45 hours this week, calculate what her gross wages will be.

A
$ 675.00
B
$ 712.50
C
$ 900.00
D
$ 1,012.50

Answers

B. 712.50

40hrs x $15/hr= $600

5hrs OT x time & a half pay ($22.50)= $112.50

$600 + $112.50= $712.50


Using the Vertical Method to multiply these two polynomials, fill in the values for A, B, and C
A) A=8x^2,b=6x^3,c=-23x
B)A=8x^2,b=6x^3,c=7x
C)A=-8x^2,b=6x^3,c=-23x
D)A=8x^2,b=6x^3,c=23x

Answers

Answer:

C)A=-8x^2,b=6x^3,c=-23x

Step-by-step explanation:

As per vertical Method to multiply

for A

1st partial product = -4(5x^3-2x^2+2x+5), so 2nd term i.e. A is

-4 (-2x^2)= 8x^2

for B

2nd partial product= -3x(5x^3-2x^2+2x+5), so 2nd term i.e. B is

-3x(-2x^2)=6x^3

for C

Final product= sum of two partial products, C is

-8x-15x=-23x

!

5(3x+8) simplify this equation please that would help a lot thanks.

Answers

[tex]5(3x + 8) \\ 15x + 40[/tex]

Hope that helped

Answer:

15x+40

Step-by-step explanation:

Use the Distributive Property

k-k+k-3 what is this answer?

Answers

Answer:

k-3

Step-by-step explanation:

Eliminate the opposites

K-k+k3

= k-3

Final answer:

The given algebraic expression simplifies to k - 3. This means, for any value of 'k', the result would be 'k' minus 3.

Explanation:

The problem provided is k-k+k-3. In this case, 'k' is a variable, which is essentially an unknown number. When you subtract a variable (k) from itself, you get zero. Therefore, k - k equals zero. Adding k back again, we return to k itself. Hence, k - k + k - 3 simplifies to k - 3. That is, whatever value 'k' is, you have to subtract 3 from it to solve this equation.

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plzzz help me with this question!!! look at picture

Answers

Answer:

Option C

Step-by-step explanation:

Option C. Is the correct option.

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For that reason, if we multiply the number (2^1/4)(2^1/4)(2^1/4)(2^1/4) the result will be 2^(1/4+1/4+1/4+1/4) = 2^(4/4) = 2.

A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smart phones. If they made 7,800 smart phones last month and gold is valued at $1,300 per ounce, what is the value of gold used last month? A) $19,500 B) $20,500 C) $21,500 D) $22,500

Answers

Answer:

Its 19,500

Step-by-step explanation:

Answer:

Option A. $19,500

Step-by-step explanation:

A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smartphones.

We will solve this problem by unitary method.

In 5200 smartphones use of gold = 10 ounces

in 1 smartphone use of gold = [tex]\frac{10}{5200}[/tex] = 0.001923 ounces

In 7,800 smartphones, use of gold = 0.001923 × 7800 = 14.999 ounces rounded to 15 ounces of gold

Last month the value of 1 ounce gold is $1,300

The value of 15 ounces = 1,300 × 15 =  $19,500

The value of gold used last month is $19,500.

Martina is 3 inches less than twice as tall as her little brother . Write an expression for Martina’s height . How tall is Martina if her little brother is 28 inches tall?

Answers

Answer:

Expression: 2x-3

Martina's height if her little brother is 28 inches: 53 inches

Step-by-step explanation:

To write the expression, first read the problem. Martina is twice as tall as her little brother, minus 3. If x represents Martina's little brother's height, the equation will be 2x-3, since she's 3 inches shorter than twice the height of her little brother.

The question says that her little brother is 28 inches tall. Since x represents Martina's little brother's height, simply plug x into our expression.

2x-3

2(28)-3

56-3

53

Therefore, if Martina's little brother was 28 inches tall, Martina would be 53 inches tall. i hope this helps! :)

Final answer:

This answer involves the creation of a mathematical expression based on the given information and substituting the known value to find the unknown variable. The mathematical expression is 'Martina's Height = 2 * (Brother's height) - 3 inches.' When the brother's height is 28 inches, we get Martina's height as 53 inches.

Explanation:

The question relates to writing and solving expressions in Mathematics. To find how tall Martina is, we need to first write down an expression depicting the statement. According to the given statement, we can write:

Martina's Height = 2 * (Brother's height) - 3 inches

If her little brother is 28 inches tall, we substitute 28 into the expression:

Martina's Height = 2 * (28) - 3 inches

This implies:

Martina's Height = 56 - 3 inches = 53 inches

Therefore, Martina is 53 inches tall if her little brother is 28 inches tall.

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what is the inverse of y=pi/2+sin x​

Answers

Answer:

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

Step-by-step explanation:

The given function is

[tex]y=\frac{\pi}{2}+\sin x[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x=\frac{\pi}{2}+\sin y[/tex]

we now solve for y.

[tex]x-\frac{\pi}{2}=\sin y[/tex]

Take the sine inverse of both sides to obtain;

[tex]\sin ^{-1}(x-\frac{\pi}{2})=y[/tex]

Hence the inverse of the given function is;

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

where [tex]\frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1[/tex]

Answer:

what that guy said

Step-by-step explanation:

What number is equivalent to |-16|

-1/16

1/16

-16

16

HelPppppp​

Answers

16

absolute value is always positive

i want to say 16 or 1/16. i’m sure it’s not a negative though.

Evaluate the expression. 0.3+0.2×0.5

Answers

Answer:

The answer is 0.4

Step-by-step explanation:

Since we do multiplication first, we do 0.2*0.5. That equals 0.1.

Next, we do addition. 0.3+0.1 is 0.4.

Answer:

.4

Step-by-step explanation:

First, multiply .2 by .5 which is .1

add this to .3 and you get .4

Your answer is .4

Which expression can be used to find the value of x?



a) 23(sin55°)(sin85°)

b) 23(sin85°)sin55°

c) 23(sin55°)sin85°

d) (sin55°)(sin85°)23

Answers

Answer:

Step-by-step explanation:

It looks like you are using the sine law.

23/Sin(85) = x /  sin(55)     Cross multiply

23*sin(55) = x * sin(85)

23*sin(55)/sin(85) = x

None of these answers look correct. One thing you could try is

sin(85) = cos(90 - 85)

sin(85) = cos(5)

That would give you

x = sin(55)*cos(5)

If that is not among  your choices you have no answer.

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