The length of a scale model of an American Football Field is 7 inches less than twice its width. The area of the model is 72 in^(2). Solve for the dimensions of the rectangular model

Answers

Answer 1

The dimension of the rectangular model shows that the length is 9 inches and the width is 8 inches

What is the area of a rectangle?

The area of a rectangle is the multiplication of the length and the width of the rectangle.

The area of the rectangle is expressed as:

Area (A) = length (L) × width (w)

A = l × w

Given that:

width = xLength = 2x - 7Area = 72 in ²

72 = (2x - 7) × (x)

72 = 2x² - 7x

2x² - 7x - 72 = 0

Using the quadratic calculator

x = 8 or x = -9/2

However, since our length/width distance can't be negative, then:

x = 8

width = 8 inchesLength = 2(8) - 7 = 9 inches

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Related Questions

A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.

Answers

Answer:

[tex]A = 15\pi[/tex]

Step-by-step explanation:

1. 150 degrees is 5/12 of a circle

2. Find area but divide by 5/12:

[tex]A = \frac{5}{12} \pi (6)^2[/tex]

3. Solve

[tex]A = \frac{5}{12} \pi (36)[/tex]

4. Simplify

[tex]A = 15\pi[/tex]

4) A movie poster was 3 inches wide and 9 inches tall. What is the perimeter of the poster?​

Answers

The perimeter of the movie poster is 24 inches.

pls help out and explain. 20 points!!

Answers

Answer:

First option is the correct answer

y = 4x + 5

Step-by-step explanation:

Hope it helps you in your learning process.

plssssssss helpppppp

Answers

64% Shes right completely

Follow the rules to complete the table in your interactive Notebook. Then, use the ordered pairs in the table to mark the coordinates on the coordinate plane and connect the plotted points.
Sequence 1: add 6 subtract 1/2 starting from zero.
Sequence 2: multiply by 2 then add 1/2 staring from one.

Answers

Answer: Put equations into slope intercept form: * Add or Subtract the x-term * Divide all ... In this case, the slope is represented by the ratio 2 1 2, or 2 2.

Step-by-step explanation:

What is the least common denominator for 1/9 and 5/2

Answers

Answer: 18

Step-by-step explanation:

1/9 = 2/18

5/2 = 45/18

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank. a. StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction b. StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction c. StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction d. StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction

Answers

The ratio of corresponding sides for the similar triangles and reduced to the lowest terms is; 3/4

How to find corresponding sides of a triangle?

From the triangles in the attached file, we know that;

If triangle ABC is similar to triangle PQR, then the ratio of the corresponding sides are proportional.

Thus;

PQ/AB = QR/BC

Thus;

12/16 = 18/24 = 3/4

Thus, the ratio of corresponding sides is 3/4

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Answer:

It should be letter C.

StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction

Step-by-step explanation:

This is going to be for edge 2022-2023

If the central limit theorem is applicable, this means that the sampling distribution of a ___________ population can be treated as normal since the ______________ is _____________

Answers

The answers are Sample population and the Sample Size is Large Enough.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.

Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.

Thus, the answers are Sample population and the Sample Size is Large Enough.

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is 9999 in the sequence n²+2n?​

Answers

Answer:

No

Step-by-step explanation:

To find out, all we need to do is plug in 9999 into the sequence.

[tex]9999 = n^2 + 2n[/tex]

By completing the square, we get [tex](n+1)^2 = 1001[/tex]. 1001 is not a perfect square, which means that 9999 is not in the sequence.

hope this helped! :)

I need help asap please help

Answers

Answer:

Figure L

Step-by-step explanation:

Answer:

Figure M

Step-by-step explanation:

I will help you on that because I passed Iready with a 100 just send me the questions

The original price of a skateboard is 50$.The skateboard is on sale for 20% off.What is the sale price?

Answers

Answer:

50 × 0.8 = $40

Answer:

I believe the answer is $40

Step-by-step explanation:

20% of 50 would be 10% (searched it up on Goøgle)

50-10 is 40

so the answer would be $40

I'm not completely sure if im right, but I got this from gøogle, so its probably right.

[tex]\sf Solve\; it \;with \;steps:-[/tex]
[tex]\bf 5\left(2x+1\right)=6x+13[/tex]


~ Enjoy the things!

Answers

Hello ~

My name is Sxnnysoul, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{x \: = \: 2}[/tex]

→  Explanation :-

[tex]\sf{Expand \: 5(2x \: + \: 1): \: 10x \: + \: 5}[/tex]

[tex]\sf{10x \: + \: 5 \: = \: 6x \: + \: 13}[/tex]

[tex]\sf{Subtract \: 5 \: from \: both \: sides:}[/tex]

[tex]\sf{10x \: + \: 5 \: - \: 5 \: = \: 6x \: + \: 13 \: - \: 5}[/tex]

[tex]\sf{Simplify:}[/tex]

[tex]\sf{10x \: = \: 6x \: + \: 8}[/tex]

[tex]\sf{Subtract \: 6x \: from \: both \: sides:}[/tex]

[tex]\sf{10x \: - \: 6x \: = \: 6x \: + \: 8 \: - \: 6x}[/tex]

[tex]\sf{Simplify:}[/tex]

[tex]\sf{4x \: = \: 8}[/tex]

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

[tex]\sf{\frac{4x}{4} = \frac{8}{4}[/tex]

[tex]\sf{Simplify:}[/tex]

[tex]\sf{x \: = \: 2}[/tex]

Hope It Helps! ~

~Learn With Sxnnysoul ~

[tex]\underline{Answer :}[/tex]

ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ

Answer:

x = 2

Step-by-step explanation:

[tex]\sf 5(2x+1)=6x+13[/tex]

Let's apply the distributive property to multiply 5 by 2x+1.

[tex]\sf 10x+5=6x+13[/tex]

Subtract 6x from both sides.

[tex]\sf 10x+5-6x=13[/tex]

Combine like terms.

[tex]\sf 4x+5=13[/tex]

Subtract 5 from both sides.

[tex]\sf 4x=13-5[/tex]

[tex]\sf 4x=8[/tex]

Divide both sides by 4.

[tex]\sf x =\cfrac{8}{4} [/tex]

[tex]\sf x = 2[/tex]

a number cube, with sides labeled 1-6, is rolled. Which is the theoretical probability of rolling a number less than 6, in simplest form? SHOW YOUR WORK

Answers

Step-by-step explanation:

There is 6 possibilities, 1 in 6 is cancelled, leaving 5/6.

chord properties of a circles

Answers

Answer:

In a circle, when a line passes through the center of the circle and is perpendicular to a chord, the line will bisect the chord. In other words, the perpendicular bisector of a chord always passes through the center of the circle.

Step-by-step explanation:

What is a possible value for the missing term of the geometric sequence?

43, ___, 688, ...

Answers

Answer:

172

Step-by-step explanation:

The formula for the missing term of a geometric sequence is the square root of x times y.

Can anyone pls help me?

Answers

By the given criterias ABC is a right angle triangle at B

Base(BC) = 16cmHypotenuse(AC) = 20 cm

By Pythagoras theorem ,

AB(Perpendicular)= √20²-16² cm

AB = 12 cm

Given :- DEF ABC

where Angle B and Angle E are 90°

Therefore , SinF = SinC

SinC = AB/AC ; 12/20 = 3/5

Hence , SinF is 3/5

Solve but show all steps

x - 1/2=3

1/3y=50

Answers

Answer: x = 3 1/2, y = 150

Step-by-step explanation:

x-1/2 = 3

add 1/2 to both sides

x -1/2 (+1/2) = 3+1/2

x = 3 1/2

1/3y = 50

multiply by reciprical on both sides

3(1/3y) = 50(3)

y = 150

Brady went to a big parade and saw 12 different marching bands. If each band had an average of 120 members and 1/8 of them were drummers, how many drummers did Brady see during the prade?

Answers

Answer:

about 10

Step-by-step explanation:

120 divided by 12=10

The total number of the drummers Brady will see in the parade will be 180 and in each band there are 15 drummers.

What will be the number of drummers?

We know that Brady went to a big parade and saw 12 different marching bands. If each band had an average of 120 members and 1/8 of them were drummers.

Here each band has 120 members.

1/8 th of the 120 members are drummers So

[tex]\rm Number \ \ the\ Drummers\ in \ each\ Band=\dfrac{120}{8}=15[/tex]

So total number of the drummers in 12 bands will be

[tex]\rm Total=15\times 12=180[/tex]

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Lakima has a spinner divided into 5 equal sections that are labeled 1 though 5. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 6 times and records the results in this list
{2, 4, 1, 5, 3, 4)
Drag and drop the answers into the boxes to correctly complete the sentences.
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number

Answers

Using probability concepts, it is found that:

The theoretical probability of spinning an odd number is equal to 3/5 = 0.6.The experimental probability of spinning an odd number is equal to 1/2 = 0.5.Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A theoretical probability is calculated without considering experiments, and we have that 3 out of the 5 numbers(1,3,5) and are odd, hence the theoretical probability is given by:

pT = 3/5 = 0.6.

For an experimental probability, we consider the experiments. Of the 6 spins, 3 resulted in an odd number, hence the experimental probability is given by:

p = 3/6 = 1/2 = 0.5.

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

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Answer:

3/5

1/2

greater than

Step-by-step explanation: I took the test

12) Carlos' school is selling tickets to the annual talent show. On the first day of ticket sales the
school sold 2 senior citizen tickets and 8 child tickets for a total of $54. The school took in $51
on the second day by selling 1 senior citizen ticket and 8 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $3, child ticket: $6 B) senior citizen ticket: $1, child ticket: $5
C) senior citizen ticket: $1, child ticket: $3
-2-

Answers

Answer:

a

Step-by-step explanation:

2s + 8c = 54

1s + 8c = 51

54-51= 3

Therefore senior = 3 and child= 6

Equation of a circle given a diameter

1-Diameter (2,4) (-3,5)
2-Diameter (2,4) (6,2)

Answers

Answer:

harvard

Step-by-step explanation:

they are really nice and smart circles

SOLVE THE LINEAR EQUATION...

PLEASE HELP!!​

Answers

Answer:

0

Step-by-step explanation:

Help please!
Change the function f(x) = 2x² + 8x +5 into vertex form.
f(x) == 2(x+4)² +5
f(x) == 2(x+2)² +5
f(x) == 2(x+2)² −3
f(x) == 2(x+4)² - 27

Answers

Answer:

C) f(x) = 2(x+2)² - 3

Explanation:

Given function:

f(x) = 2x² + 8x +5

Vertex form: y = a(x - h)² + k

For this function:

⇒ y = 2x² + 8x + 5

⇒ y = 2(x² + 4x) + 5

⇒ y = 2(x + 2)² + 5 - 2(2)²

⇒ y = 2(x + 2)² - 3

n box B there are 4 tablets more than in box A. Draw an expression for the number of tablets in box

Answers

Answer:

B=A+4

Step-by-step explanation:

since there are 4 more in box B you just have to add 4 to box A to get the number is box B

HELP please! John has saved $ 3000 each year in his IRA for 25 years. At age 72, the
fair market value of his IRA was $ 321900.65. Using the uniform lifetime
table in this figure. What is his required minimum distribution.
A) $7500.00
B) $12574.24
C) $13290.76
D) $15309.87

Answers

Answer: I'm guessing C but im not sure

Step-by-step explanation:

Greg is building a fence around his garden. For every 4 feet of fencing, the cost is $36.

Complete the table below showing the length of the fence and the cost. Length of fencing and cost

Answers

6. 7. 8. 9. 10
54 63 72 81 90

help me please please

Answers

Answer:

answer is (1) 6yd 68 meter (2) 8dy 190 meter (3) 6yd 127 meter (4) 10 yd s

your friend evaluates the power (-3)^2 is your friend correct ? explain

Answers

The evaluation of the expression  (-3)² is incorrect the correct answer will be  (-3)²=+9.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.

Here we have an expression in the question:-

=  (-3)²  = (-3  x   -3  )  =  9

So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.

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Nurse jackson examines immunization records for this past winter at the
school where she works.
got flu didn't get flu total
vaccinated
25
150
175
not vaccinated 60
65
125
total
85
215
300
how many students were not vaccinated and did not get the flu?
a. 65
b. 60
c. 150
d. 125

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. 65

Step-by-step explanation:

Have a blessed day :)

Simon walks a total of 45.55 miles in March and 35.7 miles in April.

How many miles does Simon walk-in all-in
March and April?

Answers

Answer:

81.25

Step-by-step explanation:

45.55 + 35.7

Hope this helps! <3

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