Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest side is twice the smallest and the other side is four less than three times the smallest, find the length of each side of the triangular collage

Answers

Answer 1

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet


Related Questions

Solve for g

-3+5+6g=11-3g−3+5+6g=11−3g

Answers

Answer:

ok the number you have you mulitiply it then you add the number you multipled then you will get you answer

Step-by-step explanation:

hope this works

Answer:

g = 1

Step-by-step explanation:

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.

1. (7, 0)

2. (11, 3)

3. (−3, 3)

4. (−1, −6)

Answers

We must plugin values:
3(7)-4(0)=21, is CORRECT since 7•3 is 21 and -4•0 is 0
3(11)-4(3)=21 is CORRECT since 3•11=33 and -4•3=-12 so 33-12=21
3(-3)-4(3)=21 is INCORRECT since 3•-3 is -9 and -4•3 is -12, -9-12 is -21
3(-1)-4(-6)=21 is CORRECT since 3•-1 is -3 and -4•-6 is 24 and so 24-3=21

Answer:

1. (7, 0)

2. (11, 3)

4. (−1, −6)

These are correct

2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.

Answers

Answer:

d. grams per cubic centimeter

Step-by-step explanation:

The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.

Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

Answers

The answer is D. Most students are young enough not to have much of a credit score or credit history...

The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

What is loan?

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.

Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

For more references on loans, click;

https://brainly.com/question/11794123

#SPJ2

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x) 60 - 1.5x.

Answers

No hablo inglés podes traducirlo porfa para ayudarte

Can somebody help please?
Also there are 10 people :3

Answers

Answer:

12

Step-by-step explanation:

adding them altogether

This is due today and I don’t really get it so I need some help!

Answers

I'm not sure if you dont know maybe put C

Please answer this i have 3 minutes left before its due

Answers

Answer:

Step-by-step explanation:

Y=-1/7x-30/7

16xy = W Solve for x. I need help​

Answers

Answer:

[tex]x = \frac{W}{16y} [/tex]

Step-by-step explanation:

To solve for x, we need to arrive at the equation of x=___.

[tex]16xy = W[/tex]

Divide by 16y on both sides:

[tex]x = \frac{W}{16y} [/tex]

help asap
solve them all i will mark u brainllest

Answers

Answer:  (15) see below    (16) 284    (17) option 1     (18) option 3    

               (19) see below    (20) 33     (21) L = 50, w = 10

Step-by-step explanation:

15)  7xy + 3x + 5

      ↓       ↓      ↓

      ↓       ↓       5 is a term with no variable so is a constant

      ↓       3x is a term with a coefficient of 3

      7xy is a term with a coefficient of 7

         Constant         Coefficient        Term

7                                      X

3x                                                           X

5            X                                              X

16)  12a²  - 3 |b|  +  2a       ; a = -5,  b = -2

    12(-5)² - 3 |-2| + 2(-5)

 = 12(25)  - 3(2)  - 10

 = 300    - 6      - 10

 =     294         - 10

 = 284

17) 4(k + 5) = -2(9k - 4)

    4k + 20 = -18k + 8              Distributed 4 and -2

   22k + 20 =           8               Added 18k to both sides

   22k         =  -12                      Subtracted 20 from both sides    

              k = -12/22                  Divided 21 from both sides

              k = -6/11                    Simplified (GCF = 2)

18) V = π r²h

    V/(π r²) = h                Divided π r² from both sides

                   

19) v = s² + (1/2)sh

     v - s² = (1/2)sh             Subtracted s² from both sides

   2(v - s²) = sh                 Multiplied both sides by 2

   2(v - s²)/s = h                Divided s from both sides

                            1         2       3

subtract s²          X

divide by s                                  X

multiply by 2                   X

20) F = (9/5)C + 32     ; F = 91

     91 = (9/5)C + 32

     59 = (9/5)C                          Subtracted 32 from both sides

    295 = 9C                              Multiplied both sides by 5

    32.8 = C                                Divided 9 from both sides

       33 = C                              Rounded to the nearest whole number

21) Perimeter (P) = 2Length (L) + 2width (w)

Given: P = 120,    L = 5w

               P = 2L + 2w

           120 = 2(5w) + 2w

           120 = 10w + 2w

           120 = 12w

            10 = w

                                L = 5w

                                   = 5(10)

                                    = 50

At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?

Answers

Answer:24 dogs

Step-by-step explanation:8x3

what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?

someone help ASAP

Answers

Answer:

92 1/15

Step-by-step explanation:

74=19=92

3/5 and 2/5

3times 5 is 15

denominator is 15

9-10=1

92 1/15

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250

Answers

65+28H≤250

Step-by-step explanation:

Anand can afford at most 6 hours.

Step-by-step explanation:

Find the slope of the line through the points (-1,3), and (2,-6)
(PLEASE HELP)

Answers

the slope of the line passing through these two coordinates would be -9/3 or -3. to work this out yoy subtract 3 from -6 to get -9. then add 1 to 2 to get 3. -9/3 simplifies to -3. hope this helps:)

Answer: slope = -3

Step-by-step explanation:

m = y2 - y1 / x2- x1

m = -6 -3 / 2+1

m = -9 / 3

m = -3

A building has 40 apartments on 5 floors

what is the unit rate?

Answers

Answer:

8 is the right answer

Step-by-step explanation:

because 40 devided by 5 is 8

8 is the answer bc you would decide 40 by 5

Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

Answers

Answer:

She can buy a maximum number of 15 containers

Step-by-step explanation:

We are told from the question that:

Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.

Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

Let x represent the number of Can of tulips for both tulips and lilies

x ≥ 5 cans for both tulips and lilies

$6 × x + $4 × x = $75

6x + 4x = 75

10x = 75

x = 75/10

x = 7.5 cans

This means , 7.5 containers for tulips and 7.5 containers for lilies

Adding up both containers, we have :

7.5 + 7.5 = 15 containers

Therefore, the greatest number of containers she can buy is 15 containers

what is the solution of the equation?
14+b=6

Answers

Answer:

b is -8

Step-by-step explanation:

Answer:

b=-8

Step-by-step explanation:

14+b=6

b=6-14

b=-8

what is x ^ 2 × x^-12​

Answers

Answer:

1/x^10

Step-by-step explanation:

hope that helps:)

The answer is 1 / x^10

Hope this helped :)

Can you guys help me with this, it's due today

Answers

Answer:

i think its D

Step-by-step explanation:

A volleyball team scored 14 more points in its first game than in its third game. In the second game, the team scored 28 points. The total number of points scored was less than 80. What is the greatest number of points the team could have scored in its first game?

Answers

Answer:

27

Step-by-step explanation:

Let the no. of points scored in third game x

given that

A volleyball team scored 14 more points in its first game than in its third game

Then

no. of points scored in First game = x + 14

no. of points scored in Second game = 28

Total no of points scored in three games = x + x + 14 + 28 = 2x + 42

given that The total number of points scored was less than 80

thus

2x + 42 < 80

2x < 80 -42

2x < 28

x < 14

now we know that x is less than

and since x is point scored it will be integer as point cannot be in fraction

and greatest integer less than 14 will be 13

Thus, greatest point scored in third game will be 13

similarly greatest number of points the team could have scored in its first game will be x + 14 = 13 + 14 = 27

angle is bisected, forming two new angles. If the original angle had a measure of 52° t is the measure of each new angle? Enter the number only. help asap​

Answers

The measure of each new angle is 26°

Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.

Original division problem: 3/5 divided by 5/8

Step 1: 3/5• 8/5
Step 2: 3•8
5•5
Step 3: 24/5
Step 4: 4 4/5

Please help fast :)

Answers

Answer:

step two

Step-by-step explanation:

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.



If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?

Group of answer choices



A. s + h =40

18s +14h = 700

B. 18s +14h =40

s + h =700

C. 40s + h +700

18s + 14h = 700

D. No answer text provided.

Answers

Answer:

               A.       s + h = 40                        18s + 14h = 700

Step-by-step explanation:

club sold 40 scarves and hats so the sum of scarves and hats is 40

s + h = 40       - one of equations

They charged $18 for each scarf and $14 for each hat so:

18×s   - money made from scarves

14×h   - money made from hats

18s + 14h  - sum of money made from scarves and hats so:

18s + 14h = 700      - second of equatinons

                                       

The system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold.

The system of equations is as follows,

s + h =40

18s +14h = 700

Thus,the system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?

Answers

Answer:

a) $165

b) $4180

Step-by-step explanation:

15×11=165

4,345-165=4180

a) The sum of these monthly payments is $165

b) Chris pay in the last month of this plan is $4180

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

For example

Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Price for furniture set = $4,345

a) The sum of these monthly payments

=15×11

=$165

b) Chris pay in the last month of this plan

=4,345-165

= $4180

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Which expression is equivalent to (f9)(5)?

Answers

Answer:

i think it would be fx9x5

Step-by-step explanation:

sorry if its not write

4+7a=12+8a
with steps pls

Answers

Answer:a=-8

Step-by-step explanation:

4+7a=12+8a

So first you want to have the variables on the same side

4+7a-7a=12+8a-7a

This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes

4=12+a

Now there are two ways of doing this.

1. 4-12=12-12+a

You moved the 12 to the left side so you have the same variable on one side

4-12=-8

So then a=-8

Or

2. 4-4=12-4+a

0=8+a

then you would have to subtract 8 to keep 'a' by itself

-8=8-8+a

simplify it

-8=a

same thing

4+7a=12+8a

step 1: subtract 7a from both sides.
now you have 4=12+a

step 2. subtract 12 from both sides.
now you have -8=a

the answer is a=-8


leave a thanks or mark brainliest if this helped out please.

what is the measure abe

Answers

Answer:

angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees

Step-by-step explanation:

Complete the following to check your understanding.
Question 1
What is the "friendliest" fraction to use when estimating 52% of 120?

Answers

52/100=x/120 is the proportion to figure out 52% of 120

Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?

Answers

The one in parentheses.

Solve the equation below. 3/2x – 5 = 7

Answers

Answer:

x = 8

Step-by-step explanation:

Add 5 to each side, so it now looks like this: [tex]\frac{3}{2}x = 12[/tex]  Divide each side by 3/2, so it now looks like this: x = 8

I hope this helps!

Exact form: 1/8

Decimal form: 0.125

Hope this helps !
Other Questions
15-7m=-5-2m solve the equation To access document templates, navigate to thetab.O FileO HomeO Page LayoutO Insert What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form GIVING 15 POINTSWhich statement best describes how human activity has affected African savannas?The overfishing of waterways has reduced the food sources for many species.The overuse of grasslands for herding and farming has made the soil infertile.The replanting of forests has reduced the amount of grassland.The clearing of large areas of trees has destroyed forest environments. Two states which would most likely support representation in the new congress based on population How did Spains territories in North America change as a result of Pinckneys Treaty?Spain abandoned its territorial claims on lands south of Florida and west of the Mississippi.Spain abandoned its territorial claims on lands west of New Orleans and north of Florida.Spain abandoned its territorial claims on lands north of Florida and east of the Mississippi.Spain abandoned its territorial claims on lands east of the Mississippi including New Orleans. PLEASE HELP DUE IN LESS THAN 10 MINUTES. Thank you simplify this surd expression What three measurements do you need to find the density of a liquid? why is project important This looks easy but it isn't- compared to the surface temperature and luminosity of massive stars in the main sequence, the smaller stars in the main sequence are HELP!!! PLS!!! How does the overall use of repetition int he poem contribute to its mood? A. The poem's repetitive and rigid structure contrasts the speaker's declining mental state, thus noncontributing to the crazed mood of the poem. B. The poem's repetition of the negative response "Nevermore" contributes to the lethargic and dispassionate mood of the poem. C. The poem's use of repetition and alliteration creates a dreamy mood, as the author thinks of his love, Lenore. D. The poem's use of repetitions - namely the tapping, the narrator's calls for Lenore, and the raven's catchphrase of "Nevermore" - contributes to the overall suspenseful, eerie mood. How did the geography of Greece impact its development politically? 3x + 5y + z = 2 x + 2y + 3z = 6 2x + 4y + 2z = 9 Rationalise the denominator ( 35 + 3 ) ( 5 - 3) What are the measures of each interior and exterior angles of regular quadrilateral MNOP? Given: 9-4x = -19 Prove: x = 7 Unlike secondary pollutants,pollutants arereleased directly into the air by natural processes or by humanactivities HELP ME PLEASEE ILL GIVE POINTS