A seed company planted a floral mosaic of a national flag. The perimeter of the
rectangular planting area is 420 feet. The length of the area is 110 feet longer
than the width.

a.) Write a system of equations to relate the
length and width of the planting area.

b.) Use the system of equations to
determine the length and width of
the planting area.

Answers

Answer 1

9514 1404 393

Answer:

  a) 2(L+W)=420; L-W=110

  b) length: 160 ft; width: 50 ft

Step-by-step explanation:

The formula for the perimeter (P) in terms of length (L) and width (W) is ...

  P = 2(L+W)

We can use this as one of the equations. The other will relate the length and width according to their difference:

  L -110 = W

Substituting the given perimeter in the above equation, our system of equations is ...

420 = 2(L+W)L-110 = W

Substituting for W in the first equation gives ...

  420 = 2(L +(L -110))

  210 = 2L -110

  320 = 2L

  160 = L

  160 -110 = W = 50

The planting area is 160 feet long by 50 feet wide.

_____

Comment on the question

Most national flags have a length/width ratio of 1.5 or 2. The flags of Vatican City and Switzerland are square (1.0). The longest flag is that of Qatar, with an aspect ratio of width:length = 11:28, about 2.545. The "national flag" described here has an aspect ratio of width:length = 5:16, or 3.2. Apparently, it is not to scale, or not from Earth. (The US flag aspect ratio is 1.9.)


Related Questions

I am a two-digit number. I have a three in the ones place. I am less than 16.

What number am I?

Answers

Answer:

13

Step-by-step explanation:

It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.

Explain how to tell if two terms are alike. Show one pair of like terms that each contain at least two variables. Show how to add these like terms. Then show a second pair of terms that are NOT alike, but share some of the same variables. Explain why they are not alike.

Answers

Answer:

Two mathematical terms are alike (not alike) , if they have same (different) variables & in same (different) mathematical treatment.

Step-by-step explanation:

Two mathematical terms are alike, if they have same variables & in same mathematical treatment.

Eg : 2 xy , 5 xy. These are alike, as they have product of x & y being multiplied with constants.

They can be added, subtracted by adding or subtracting their constants.

2 xy + 5 xy =  (2 + 5) xy = 7 xy

5 xy - 2 xy =  ( 5- 2 ) xy = 3 xy

Two mathematical terms that are not alike are : 2 xy & 5xz , as former has variables x & y, latter has variables x & z

An airplane flew 1100 miles in 2.5 hours. How
fast was it flying in miles per hour?

Answers

Answer:

fast

Step-by-step explanation:

Identify the solid produced by rotating the figure around the given axis.

Answers

Answer:

4

Step-by-step explanation:

The solid produced by rotating the figure around the given axis is a cone.

Step-by-step explanation:

A solid is a 3-dimensional structure obtained by rotating the 2-dimensional figure at a given axis.

The line or axis at which the given figure is rotated is known as the axis of revolution.

Given:

A right-angle triangle

To find :

Solid produced by rotating the given figure.

Solution:

When we rotate the given figure as shown in the image, we will obtain a solid known as a cone.

The solid produced by rotating the figure around the given axis is a cone.

Learn more about solid here:

brainly.com/question/3845281?referrer=searchResults

Estimate 44 + 33 =
decimals

Answers

Answer:

My estimate is 70, but the answer towards  33 plus 44 is 77

Please correct me If i am wrong

Step-by-step explanation:

help plz answer thank you

Answers

3 + 4, 3x3 equals 9 meaning your fraction would be 3

Nina Milling assembles transistor radios. she is paid $0.54 for each radio assembled during a regular work week, $0.62 for each radio assembled on on sundays. What is Nina's total pay for a week in which she assembled the following number of radios?

Answers

Answer:

I would need to know the number of radios she made each day.

Step-by-step explanation:

lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***

you would get $6.48

then for sunday we would do 0.62 x 2 (that would be 1.24) .

now we add 6.48 and 1.24 to get $7.72 a week.

on the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2

Answers

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation [tex]y=3x+2[/tex]

We need to draw the graph of the equation.

Put x=0 in the above equation.

[tex]y=3(0)+2[/tex]

[tex]y=2[/tex]

The coordinate is (0,2).

Put y=0 in the given equation.

[tex]0=3x+2[/tex]

[tex]-2=3x[/tex]

[tex]x=\frac{-2}{3}[/tex]

The coordinate is ([tex]\frac{-2}{3}[/tex],0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

PLEASE HELP ill give brainliest if you answer and explain it correctly!!!!!!!! its due soon
:(((((((((

Answers

Answer:

Step 2

Explanation:

On step 2 they end up multiplying wrong. -3x4 should be -12 not positive 12.

Hope this helps!!

HELP PLZ

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),



A. find each side length



B. classify the triangle based on the sides

Answers

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

Michael owns dogs, hamsters and fish in the ratio 2:3:6. If he has 6 hamsters, how many pets does he have?

Answers

Answer:

33 pets

Step-by-step explanation:

6/3 = 3

2 + 3 + 6 = 11

11 * 3 = 33

Simplify fully V8 x V18

Answers

Answer:

12

Step-by-step explanation:

·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]

[tex]\sqrt{144}[/tex]=12

Answer:

12

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

Given

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

Simplifying each radical

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Thus

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]

= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 6 × 2

= 12

Can you put any variable in a equation?

Answers

Answer:

no at least i don't think u can because i usually use it in lets say 4x5=n

and the question would say solve for n.

Step-by-step explanation:

if 2t2 eqauls 4 then wah t is 2t4

Answers

2+4 is 8 that should be your answer :)


Write 8 x 10^-4 in standard notation.

Answers

Answer:

0.0008

Step-by-step explanation:

[tex]8 \times {10}^{ - 4} = 0.0008[/tex]

Which statements are true?

Select each correct answer.


Since −6 is 6 units to the left of 0, |−6|=6 .

The absolute value of −6 is negative.

The absolute value of −6 is less than the absolute value of 6.

​ −6 ​ is closer to zero on the number line than ​ −7 ​ , so |−6|<|−7| .

Answers

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

Answers

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

Volume of cone-based problem:

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

Solve for x
What is the measure of the very top angle? (4x-8)
What is the measure of the side angle? (3x-5)

Answers

Angle 4x-8=132 degrees
Angle 3x-5= 100 degrees
A pentagons interior angles all added up together is 540 degrees.
91+125+92=308
The two angles we do not know what are both add up to (540-308) 232 degrees.
So 4x-8+3x-5=232
7x=232+8+5
7x=245
X=245/7=35
X=35
Now we can plug it in the equation.
4x35-8=132
3x35-5=100

Use the distributive property to evaluate the following expression: 9x (4 + 9)

Answers

Answer:

117x.

This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x

36x+81x=117x.

Answer:

117x

Step-by-step explanation:

You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many
triangles can you construct using these measurements?
OA 0
OB 1
OC 2
OD. infinitely many

Answers

Answer:

OD. Infinitely many.

Step-by-step explanation:

Answer:

OC

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a right triangle?
O 16, 32, 36
O 8, 12, 16
O 3,4, 5
O 9, 10,

Answers

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

Please Help! It’s due today!

Answers

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

Off the 300 television sets sold at an electronics store last month, 90 were flat screen TVs . What is the ratio of the flat screen TVs to TVs sold last month ( geometry)

Answers

Answer:

3/7 is the correct answer

Step-by-step explanation:

Answer:

my answer is that is 3/7 because look at the question and you will see what i mean.

Step-by-step explanation:

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

plss
s

s
ss

s
d
d
d
d
d
d
d
d
d
d
s
s
s

Answers

Answer:

$6,600

Step-by-step explanation:

231/0.035= 6,600


Express in the form 1:1.
Give 12 as a fully simplified fraction
8:6

Answers

Step-by-step explanation:

[tex] \frac{1}{1} = 1:1[/tex]

[tex] \frac{2}{2} = 1:1[/tex]

[tex] \frac{3}{3} = 1:1[/tex]

[tex] \frac{4}{4} = 1:1[/tex]

[tex] \frac{5}{5} = 1:1[/tex]

[tex] \frac{6}{6} = 1:1[/tex]

[tex] \frac{7}{7} = 1:1[/tex]

[tex] \frac{8}{8} = 1:1[/tex]

[tex] \frac{9}{9} = 1:1[/tex]

[tex] \frac{10}{10} = 1:1[/tex]

[tex] \frac{11}{11 } = 1:1[/tex]

[tex] \frac{12}{12} = 1:1[/tex]

3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?

Answers

Answer:

The first brother is 16, the second brother is 8 and the third brother is 4.

Step-by-step explanation:

Since the sum of all the brothers  is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.

If nuts cost $9.20 per pound, how much would 2 1/2 pound cost?

Answers

23 dollars for that.

c) Which of these numbers is a square number?

A) 4 x 10^5

B) 9 x 10^4

C) 4 x 10^3

D) 9 x 10^3

Answers

Answer:

A is the correct answer

Answer:

non of them

Step-by-step explanation:

Square number should have power of 1/2 .

can someone help me thanks you get 15 points!

Answers

Letter D is the answer
Other Questions
This is literally my hole grade and I need help this is what it looks like- A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal? please help ill give brainliest Please help me with this Solving One Step Equations. SHOW YOUR WORK 16 = k/12 solve to find k Another way of looking at values is what a person feels is _____________ or _____________.a.right; wrongb.expensive; cheapc.silly; seriousd.fun; boring Shaneya purchased a membership to play basketball at her local gym. The membership costs $75 for the year, plus she pays $3 to rent equipment each time she goes. If Shaneya doesn't want to spend any more than $150 on basketball for the year, what is the maximum amount of times can she go to the gym to play? The ___________________ was started by prominent African-American and white reformers. The main goal was full equality among the races. In buffalo, being boring (B) is dominant to being busy (b). A true-breeding, busy male is crossed with a true-breeding, boring female. What are the possible genotypes of their offspring? Solve (9 - 3 x 2)^2 someone help me please im failing Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct? Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2. When rationalizing the denominator we multiply by the value of________.A. 0B. 1C. 2D. 3 Can someone tell just the answer What is the length of CD to the nearest tenth? why is self-care important to our mental and physical health? i need help now its due right now can anyone help me What effects did the GreatDepression have on the USeconomy and society? please answer please i need help lol The Article states:As scholar-athletes, Kalambayi and Phillips can bring discipline, great study habits,and organization to the pros. But does the discipline needed to maintain a strongacademic performance necessarily carry over to the NFL? Not always, somefootball experts say.Which would be the closest synonym for the word maintain, as it is used above?AUpholdBDefendReshapeDAbandonKk The table below shows all of the possible outcomes for rolling two six-sided number cubes.How many possible outcomes are there?Answer ChoiceA)6B)12C)21D)36