Translate the situations into equations and solve

The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.

THIS IS URGENT PLS HELP!

Answers

Answer 1
Let the three sides be: x, %28x%2B2%29, %28x%2B4%29
then the perimeter:
p+=+x+%2B+%28x%2B2%29+%2B+%28x%2B4%29
p+=+3x+%2B+6
- the longest side is it is 22 units shorter than the perimeter, so you will have
%283x%2B6%29+-+%28x%2B4%29+=+22
3x+%2B+6+-+x+-+4+=+22
2x+%2B+2+=+22
2x+=+22+-+2
2x+=+20
x+=+10, ........the shortest side
then
10+%2B+4+=+14 units is the longest side

Related Questions

  A ticket to see your favorite baseball team costs ​$. 45.04That price decreases by ​$0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 ​games?

Answers

Answer: 1. $45.04-L$.24=C
2. $32.20 for a ticket after 41 loses.

Robert runs 3 times a week for 12 weeks. Each run is 4 miles. How many total miles will he run during 12 weeks?

Answers

Answer:

144

Step-by-step explanation:

first you gotta do 3x4 which is 12 then 12x12. and then you get 144.

Robert will run a total of 144 miles during the 12 weeks.

Given:

Robert runs 3 times a week for 12 weeks.

So, total number of runs will be:

= 3 runs/week * 12 weeks

= 36 runs

Since each run is 4 miles, multiply the total number of runs by the distance per run:

= 36 runs * 4 miles/run

= 144 miles

Therefore, Robert will run a total of 144 miles.

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A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.

Answers

Lets start by finding the equation.

25 is the constant, .3 is the slope, and 50.2 is the final.

This means that our equation is:

50.2 = .3x + 25

50.2 - 25 = .3x

25.2 = .3x

25.2 / .3 = x

84 = x

This means that Ken travelled 84 miles if his bill was $50.2.

I hope this helps! :)

f(x)=-3x^2 find f(-2)

Answers

Answer:

12

Step-by-step explanation:

f(-2)=3(-2)^2

f(-2)=3(4)

f(-2)=12

How to solve this? :)

Answers

Step-by-step explanation:

by understanding how a number actually works.

when I write e.g. the number 2648, what did I actually tell you ?

that there is a value or quantity that is

8×10⁰ + 4×10¹ + 6×10² + 2×10³

every number you or anybody else has ever written represented this type of information.

so, now we have a 2-digit number : xy

its value is : y×10⁰ + x×10¹

and because 10⁰ = 1 and 10¹ = 10, this is simply

x×10 + y or 10x + y

the description tells us that

|x - y| = 2

and that xy + yx = 132

that means

10x + y + 10y + x = 132

11x + 11y = 132

we can divide by 11 and get

x + y = 12

like 8+4 or 9+3.

and we know the difference between x and y is 2

like 6 and 4, or 1 and 3.

normally we should know the solution already (I do), but let's finish it formally.

we use one scenario of the absolute value equation :

x - y = 2

x = y + 2

and we use this in the second equation :

y + 2 + y = 12

2y + 2 = 12

2y = 10

y = 5

x = y + 2 = 5 + 2 = 7

the same, just with reversed positions, is the result when using

y - x = 2

so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.

what is the answer to this question it is called (Solve Linear System Graphically (Lev. 1)

Answers

x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

Write down an equation of the line that is perpendicular to y=2x+5
I will mark as brainliest

Answers

Answer:

y = -1/2x +5

Step-by-step explanation:

The perpendicular slope will be the negative reciprocal of the original slope

the reciprocal of 2 is 1/2, and the negative of that is -1/2

Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.

Answers

(36.39- 2.99)/20

Total- chips, so total amount for juice.

Then, divide by 20 because she bought 20 bottles

Answer:

1.67

Step-by-step explanation:

36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67

Can somebody answer this?

Answers

Answer:

its A

Step-by-step explanation:

Triangle JKL has the following measures:

Side JK = 4 cm

Side KL = 7 cm

Angle J = 38°

Triangle PQR has the following measures:

Side QR = 7 cm

Side PQ = 4 cm

Angle Q = 38°

Which statement is accurate about triangles JKL and PQR?

A. They are not congruent

B. They are based on AAS criteria

C. They are based on SSS criteria

D. They are based on SAS criteria​

Answers

The triangles are not congruent.

Option A is correct.

Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?

A. h = 20w
B. W=20h
C. H=2102
D.w=210h

help pleasee

Answers

[tex] \: \: \: \: \: [/tex]

A. h = 20w

h=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if it

hope it helps

[tex] \: \: \: \: \: [/tex]

resolve into partial fraction. (5x+2)/3x²+4x-4​

Answers

Answer:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

Step-by-step explanation:

Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.

[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]

We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]

Now it's all a matter of writing down what we need:

[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]

Here comes the fun part. Two ways: the fast and loose, and the long one.

Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]

At this point we have B, let's pick a different value of x, let's say 1, to get A:

[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]

More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]

[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]

Again, [tex]A=2, B=1[/tex] is a solution.

Either way, the solution is:

[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]

The arithmetic mean of the heights of five pupils in a class is 164cm if another pupil whose height is 168cm joins the class, calculate the arithmetic mean of the heights of the 6 pupils​

Answers

Answer:

164.67 cm

Step-by-step explanation:

The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,

[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]

On solving ,

[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]

When a student of height 168cm is added ,

[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]

[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]

an athlete trains by running 300m eight times and 200m six times. How far does he run in kilometres?

Answers

300 x 8 + 200 x 6 = 2400 + 1200 = 3600m
1km = 1000m
3600 : 1000 = 3,6km

What is the value of p?
p + 2 - 4= 14
Drag and drop the correct answer in the box.

Answers

p + 2 - 4 = 14
p - 2 = 14
p = 14 + 2
p = 16

Answer:

p = 16

Step-by-step explanation:

(p + 2) - 4 = 14

We can just drop the parentheses:_

p + 2 - 4 = 14

p - 2 = 14

Add 2 to both sides:-

p - 2 + 2 = 14 + 2

p = 16

insane in the membrane​

Answers

hahaha hahaha crazy x

A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.

Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?

Answers

Answer:

Step-by-step explanation:

I need help with these

Answers

I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)

I need help i have no clue what to do!

Answers

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)

How do you write 7460 in standard form?

Answers

Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

What are the solutions to the equation sin(x+7pi/2)=-sqrt 3/2

over the interval [0,2pi]?

Answers

Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

Edge2020 :]

The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?

Answers

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and  22x^4

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2

If 5 boxes of cereal cost $27.50, how much does one box of cereal cost? a) $5.50 b) $5.05 c) $550 d) .55​

Answers

}

Answer:B

Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down

Answer:

ans is i think a) $5.50

Step-by-step explanation:

'cuz if 5 boxes cost $27.50

so it will be

[tex]27.50 \div 5 \\ = 5.50[/tex]

Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.

I need the answer quick

Answers

Applying the tangent ratio, the value of x in the right triangle is approximately: 5.

What is the Tangent Ratio?

Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.

Given the following:

∅ = 63°Opp = 10 Adj. = x

tan 63 = 10/x

x = 10/tan 63

x ≈ 5

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Consider the two linear expressions. -(-3 -60 – 3) and 3.5 – 60 Are the two linear expressions equivalent? Drag a word or phrase to the box to correctly complete the statement​

Answers

just doing this so i can ask a question

1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical​

Answers

Answer: B: complementary

Step-by-step explanation: :)

A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.

Answers

Answer:

I don't have the Pound Sterling sign on my keyboard but the answer is $45.60

Step-by-step explanation:

Since each adult ticket costs $51.60 and there are 12 adults

The total cost of adult tickets = $51.60*12=$619.20

Then take the total cost of tickets and subtract $619.20 from it

$1804.80-619.20=$1185.60 that's the total cost of children's tickets

Since there are 26 children you have to divide that answer by 26 to get it

$1185.60/26=$45.60

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?

Answers

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

help me please!!!!!! 20 points!

Answers

Answer:

Step-by-step explanation:

2x = x + 40

2x - x = x - x + 40

x = 40

∠I = ∠Q = 33°

∠H = ∠P = 80°

∠J = ∠R = 67°

5(2x + 1) = 50
Help me plsss

Answers

Answer:

x=9

Step-by-step explanation:

shape it helps

byeeeeee

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