A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1540 feet, what are the dimensions of the field?

Answers

Answer 1

Answer:

700 by 70

Step-by-step explanation:

The equation for perimeter is 2(l + w). Since the length has an assigned value, l will become 10w.

2(10w + w) = 1540

First, add the parenthetical expression to get 11w.

2(11w) = 1540

Now, DISTRIBUTE! 2(11w) becomes 22w.

22w = 1540

Lastly, divide by 22 to get 70. You can also say that this could be 22w = 154 * 10. 22 * 7 is 154 (140 + 14), and 7 * 10 is 70.

w = 70

Now that we know the width, substitute 70 for w in the 10w expression.

l = 10(70)

Just multiply and you'll get 700.

l = 700

Now we know the dimensions to be 700 * 70 (or 70 * 700; I just prefer to put the length first)


Related Questions

An automotive service center would ke feedback on its customer service.
after they pay for services with a short survey on which customer service is ranked on a scale from 1 (least
satisfied) to 5 (most satisfied) Customers can then choose to submit the card in a box on their way out of the
store. The store manager finds that 140 cards were filled out in the past week, with an average customer
satisfaction score of 2.47. Which type of bias is most likely to be present in the survey results?
O This is undercoverage bias because some types of customers may not have received cards.
This is nonresponse bias because many customers may choose to not fill out the cards
O This is question wording bias because the customer service score levels may not be clear to customers.
O This is response bias because customers may not be truthful about their experience with customer service.

Answers

"This is nonresponse bias because many customers may choose to not fill out the cards"
Not everyone will chose to leave a review when leaving the store, and those that do were probably in some way inconvenienced, and felt inclined to leave one, while the others left and went about their day.

Given y = f(x) and y = g(x), explain the transformations from f(x) to g(x).

shift right then stretch vertically
stretch horizontally then shift down
stretch vertically then shift left
shift up then stretch horizontally

Answers

Answer:

shift right then stretch vertically

Step-by-step explanation:

A

The transformations from f(x) to g(x) is shift right then stretch vertically. Hence. option A is the correct answer.

It is Given y = f(x) and y = g(x), we need to explain the transformations from f(x) to g(x).

How does transformation of a function happens?

The transformation of a function may involve any change.

These can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k f(x)

Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]

Here, the transformations from f(x) to g(x);

We can conclude that the transformations from f(x) to g(x) is shift right then stretch vertically.

Hence. option A is the correct answer.

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PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

D) 13/100 = 2500/X

Step-by-step explanation:

..........

A number from 1 to 10 is chosen at random. What is the probability of choosing a 2
or an even number?

Answers

Answer:

5/10

Step-by-step explanation:

there are 5 even number so the probability of choosingan even number is 5/10

Find the product. Simplify your answer. -4(4c+ 4)​

Answers

Answer: -32c

Step-by-step explanation: -4(4c+4) -4 x 4c= -16c.  -4 x 4= -16

New equation: -16c + -16

Answer: -32c

- means negative, not subtraction

Find the area of following figures​

Answers

Answer:

43.16cm

Step-by-step explanation:

(1.2 x 3.6)/2=2.16

3.6 x 1=3.6

2.2 x 1=2.2

8 x 2=16

8 x 2.4=19.2

Seven more than the product of a number and 9 equals 3.​

Answers

Answer:

9x+7=3

Have a great day!

(x•9)+7=3

product is multiplication, if ur finding that and adding 7.


George buys 7 pairs of pants and uses a discount for $11 off.
He spends $73 total.
What is p, the cost of each pair of pants?

Answers

This situation can be represented by the equation 7p–11=73.

The cost of each pair of pants is $12.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that George buys 7 pairs of pants and uses a discount for $11 off. He spends $73 total.

We can write the equation as -

7p - 11 = 73

7p = 84

p = 12

Therefore, the cost of each pair of pants is $12.

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2. Consider the equation 3x2 - 13x - 30 = 0.
(a) Write the factored form of the trinomial.

Answers

Answer:

(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)

Step-by-step explanation:

Factor out -13 from -13x

3x^2 - 13(x) - 30 = 0

Rewrite -13 as 5 plus -18

3x^2 + (5 - 18)x - 30 = 0

Apply the distributive property

3x^2 + 5x - 18x - 30 = 0

Now factor out the GCF (Greatest common factor)

To do so we will group the first two terms and last two.

(3x^2 + 5x) - 18x - 30 = 0

Then factor out the GCF from each group.

x(3x + 5) - 6(3x + 5) = 0

(3x + 5)(x - 6) = 0

Answer:

-5/3  ,   6

Step-by-step explanation:

Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)

replace the letters with the values from the equation, and plug it in.

x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
    =
x = (13 ± 23) / 6

You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are

-5/3

and

6

Find the formula for an exponential function that passes through the two points given.
(x, y) = (0,5) and (x, y) = (3, 40)

Answers

Answer:

Y =5×2^x.

Step-by-step explanation:

All the points given satisfy the Exponential function Y

Therefore insert all points into the general form of exponential function as Y =ab^x.

Find a and b where a will be 5 and b will b 2.

Insert and verify

5. The vertices of AABC are A(-5, 4), B(-2, 4), and C(-4, 2). If AABC is reflected across the y-axis, find the coordinates of the vertex C'.​

Answers

Answer:

C'(4, 2)

Step-by-step explanation:

The vertex C has coordinates:

x = - 4, y = 2

If the triangle reflected over the y-axis, the y-coordinates of C and C' will be same but the x-coordinate will change to opposite.

So the vertex C' will have coordinates:

x = 4, y = 2

Find the area of the shaded parts of these shapes​

Answers

Answer:

7.70m

Step-by-step explanation:

A = π r²

small A = π 1.4m²

= 6.1575m

big A =  π 2.1m²

= 13.8544m

Shaded A = big - small

= 13.8544m - 6.1575m

= 7.70m

Please help i will give brainiest to the correct answer!

Answers

Answer:

1 by 1 by 1 1/3, 36, 12.

Step-by-step explanation:

given the information in this picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building​

Answers

Perpendicular=50ft=PHypotenuse=h=?

[tex]\\ \tt\hookrightarrow sin\theta=\dfrac{P}{H}[/tex]

[tex]\\ \tt\hookrightarrow sin47=\dfrac{50}{h}[/tex]

[tex]\\ \tt\hookrightarrow h=\dfrac{50}{sin47}[/tex]

[tex]\\ \tt\hookrightarrow h=\dfrac{50}{0.73}[/tex]

[tex]\\ \tt\hookrightarrow h=68.4ft[/tex]

Answer:

sine

sin = o/h

Step-by-step explanation:

The ladder leaning against the building has created a right triangle.

A right triangle is made up of 2 legs (at 90° to each other) and a hypotenuse (longest side).

Trig ratios help us calculate side lengths and interior angles of right triangles:

sin(x) = O/Hcos(x) = A/Htan(x) = O/A

where x is the angle, O = the side opposite to the angle, A = the side adjacent to the angle, H = hypotenuse

From inspection of the diagram, we need to find the hypotenuse (H) and we have been given the angle (x) and the side opposite to the angle (O):

Therefore, we can use the trig ratio sin(x) = O/H to determine H:

⇒ sin(47) =50/H

⇒ H = 50/sin(47)

⇒ H = 68.36637305... = 68 ft (nearest foot)

Brainliest if correct

Answers

Answer:

w=4

Step-by-step explanation:

28=14w-7w whenever you work it out it equals w=4... happy to help :)

Answer:

w = 4

Step-by-step explanation:

Rewrite the equation as 14w - 7w = 28

Now subtract 7w from 14w

7w = 28

Divide

7w/7 = 28/7

28/7 = 4 > w = 4

ILL GIVE BRAINELST

The Inuit were the only early people on North America to make lamps for light.

True or False

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Find five consecutive odd integers if the sum of the first three integers is 7 more than the sum of the last two.

Answers

Answer: 15, 17, 19, 21, 23

Step-by-step explanation:

You can let the middle number = x, then the numbers are

x-4, x-2, x, x+2, x+4

Plugging it back in to what is given,

x-4+x-2+x = 7+x+2+x+4

3x-6 = 2x + 13

x = 19

The numbers are 15, 17, 19, 21, 23

The first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Let x be the first odd integer, then the next four odd integers would be x+2, x+4, x+6, and x+8.

According to the problem, the sum of the first three integers is 7 more than the sum of the last two, which can be expressed mathematically as:

x + (x+2) + (x+4) = (x+6) + (x+8) + 7

Simplifying the equation, we get:

3x + 6 = 2x + 21

Subtracting 2x and 6 from both sides, we get:

x = 15

Therefore, the first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

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Use the long division method to find the result when 2x3 + 4x2 + 7x + 5 is
divided by x + 1.

Answers

Answer:

19+7x^2

Step-by-step explanation:

2x3=6

4x2=8

7x

6+8+5=19

19+7x / x+1

19+7x^2

Answer:

shown in the picture

Step-by-step explanation:

2x² + 2x + 5

Prior Skill Review: Which ordered pair is a solution of the system 2x – y < 5 and 2 + 2y > 2?

Answers

Answer:

B) (3, 2)

Step-by-step explanation:

Graph the inequalities and plot the points.

See attached.

As we see, the solution is the option B, point (3, 2). All the other points are either outside or on the dashed line.

Graph attached

Refer to the attachment

Second one should be 2x+2y>2

y = -2x + 6 ordered pairs

Answers

Answer:

there will be many points ,such as (0,6) ,( 3,0) , (1,4) etc

Step-by-step explanation:

your question is unclear, but i think it may be the pairs which follow the equation,

for this  put x= 1,2,3,4..... then y=4,2,0,-2,.....

Use intercepts to graph the linear equation 4x+6y=12 .

Answers

Answer:

The Y Intercept is -2 and the slope is 4/6.

Step-by-step explanation:

First, you need to convert that equation into y = mx + b. To do that you need to bring the 6x over on the other side first. 6y = 4x - 12 is what you get.

Then you need to get rid of the 6, you divide it into the 4 and 12 to do that.

You get y = 4/6x - 2.

Your slope is 4 rise and 6 run.

Your Y-intercept is negative 2.

Answer:

First, put it into a graphing form:

4x + 6y = 12

6y = -4x + 12

y = -2/3 + 2

(I would graph this but it`s not letting me attach an image. I`ve laid out the steps below)

- Make a point at (0,2). It`s two units above the origin. This is your y-intercept.

- Move the dot two units down, and three units right.  It should end up on the point mentioned in the next step

- Make another point at (3, 0). It`s three units to the right of the origin. This is your x-intercept.

- Continue moving two down , three right until that side of the graph is done.

- Go back to the y-intercept and move two units up, and three units left, until the line reaches the edge.

- Once you have the dots down, connect them with a ruler.

The easier way to do this is by just taking two points, and going all the way across the graph, but it`s not always accurate.

y-intercept = (0,2)

x-intercept = (3,0)

Hope this helps!

What is the length of JK

Answers

Answer:

jk = 4

Step-by-step explanation:

it starts at -2x and then goes to 2 x so the equation is

so it's |2| +2 =jk

factories the following
5a + 5b

Answers

Answer:

5(a+b)

Step-by-step explanation:

5(a)+5(b)

5(a+b)

Answer:

5a + 5b

= 5 ( a + b )

Choose the equation that best matches the problem: Zachary grew a small garden as part of a science experiment. After observing his plants for several weeks, he noticed that 2/4 of the plants had yellow blossoms. Of the plants with yellow blossoms, 1/3 had dark green leaves. What fraction of the plants had yellow blossoms with dark green leaves?


2/4-1/3

2/4+1/3

2/4x2/4

2/4x1/3

Answers

Answer:

I think its 2/4+1/3

Step-by-step explanation:

I tried to do myself.

Answer:

2/4 X 1/3

Step-by-step explanation:

A soccer team is playing in a tournament this weekend. The possible outcomes of a game
are win or lose. In the event of a tie at the end of regulation, the teams will play overtime
until one team is declared the winner. Assume the outcomes of winning or losing a game
are equally likely. The events of winning or losing a game are independent of winning or
losing the next game. The team will play up to 3 games in the tournament. Once a team loses they are out of the tournament and will not play any further games.

a) List all the possible outcomes for the team's game results in the tournament.
b) What is the probability that the team will win all three games?
c) What is the probability that the team will win at least one game?

Answers

Answer:

a)list all the possible outcomes for teams game results in the tournament

One building is 60 stories tall, and a second building is 48 stories tall. What is the ratio, in simplest terms, of the number of stories in the first building to the number of stories in the second building?

Answers

Answer:

Ratio is :  5/4  or  5 : 4

Step-by-step explanation:

The ratio of the number of stories in the first building to the number of stories in the second building :  

    60 : 48    or 60/48

Both numbers have 3 and 4 as common factors. So

  3 * 4 * 5 :  3 * 4 * 4

 5 : 4  is the ratio in the simplest terms striking of the common factors.

Answer:

Simplest form is 60 : 48.

Step-by-step explanation:

We are finding the ratio of 60 and 48.

It's very simple.

Ratio should be:

60 : 48.

There is no other simple form, so the simplest form is 60 : 48.

A manufacturer of technological devices has the capacity of producing two different devices (device A and B). There are three phases in the production for these two devices, the first is the construction of the components for the devices, the second is the assembly of the units, and the third is the final finish of the devices before they are packed up and shipped to the customer For each unit of device A it takes 18 hours to create the components, 2 hours to assemble the device, and 1 hours for finishing for a profit of \$1,100 . For each unit of device B it takes 36 hours to create the components, 6 hours to assemble the device, and 1 hours for finishing for a profit of \$2,200 . Each day there are 2100 hours available for the construction of the components, 300 hours available for the assembly of the devices, and 100 hours available for the finishing of the devices. Find the number of devices of A and B that they should create each day to maximize profit. Show all the necessary steps needed to solve this problem . You may use your calculator's graphing functions to help solve this problem . You may NOT use Excel for this exercise . Your final answer should be in the form of a sentence ; place a box around it. Organization and neatness counts! (40 points)

Answers

I can't understand mb !!

Subtract 4 from 1/6of 42

Answers

The answer is 3

(1/6) * 42= 7
7-4=3

HELP PLEASE In this polygon, all angles are right angles. What is the area of this polygon? Enter your answer in the box. ft² Polygon in the shape of a letter L, which could be formed by a horizontal rectangle attached along the bottom part of a vertical rectangle. The left side '
of the figure is 18 ft, the bottom side of the figure is 21 ft, the right side of the figure is 8 ft, and the top part of the horizontal rectangle to the right of the vertical rectangle is 12 ft. HURRY I HAVE 5 MINUTES!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

258 ft²

Step-by-step explanation:

This shape is represented as a rectangle with dimensions of 18ft by 21 ft and a portion of it that has been cut out.

Let's find the area of the original rectangle:

18ft x 21ft378 ft²

Now let's find the area of the part cut out:

12 ft x (18ft - 8ft)12 ft x 10ft120 ft²

Subtract the part cut out from the original rectangle:

378 ft² - 120ft²258 ft²

-Chetan K


A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line.
A) y = 2x + 4
B) y = -2x + 4
C) y = -2x - 4
D) y = -4x + 2

Answers

The answer is b Y =-2x+ 4
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