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

divide Rs 18000 into 5 equal parts such that A gets 2 out of 5, B gets 1 out of 5 and C gets remaining​

Answers

Answer:

72

Step-by-step explanation:

If it wrong i'm sorry

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends feet per second. The elevator for the miners descends feet per second. One​ day, the equipment elevator begins to descend. After ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another second? At that​ time, which elevator is​ deeper?

The position of the equipment elevator relative to the surface is (blank) feet

Answers

Answer:

272

Step-by-step explanation: I had i

Convert .45 to a fraction help for brainlist! with explaintion

Answers

Answer: 9/20

Step-by-step explanation:

Answer:

9/20

Explanation:

0.45

Since there are two numbers after the decimal point, the denominator will be 100 (two zeroes). So, 45/100.

Simplify the fraction. Divide both the numerator and the denominator by 5.

9/20

Hope this helps! :)

Mrs. Kelly got a box of 16 colored pencils. She opened it, and 8 fell on the floor. How many colored pencils stayed in the box?
Write a subtraction sentence that fits the story (for example, 3 - 2 = 1).

Answers

16-8=8

Step-by-step explanation:

16 - 8 = x
That what be the suitable answer, x standing for the pencils that stayed in the box

maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?

Answers

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

−7a − 12q + 6a + 13q + 4a − 7a

Answers

Answer:

-4a + q

Step-by-step explanation:

Group the a-values together and the q-values together and simplify:

-7a + 6a + 4a - 7a - 12q + 13 q

= -4a + q

an investor owns shares of stock a and stock b. the investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?

Answers

Answer:

a = 80 shares of stock A

b =120 shares of stock B

Step-by-step explanation:

Solved by creating a system of equations

Let a be number of shares of stock A

B number of shares of stock B

a + b = 200

9.5a + 27b = 4000

Solving the two equation

a = 80 shares of stock A

b =120 shares of stock B

Write the line (-5,-6) with slope 2/5 in point-slope form

Answers

Answer:

[tex]y+6=\frac{2}{5} (x+5).[/tex]

Step-by-step explanation:

1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;

2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:

y+6=2/5(x+5).

HI I REALLY NEED HEP PLEASEE

Answers

Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.

The answer is B

Hope this helps

Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else

Answers

Answer:

7 by 21 is the answer so 1 by 3 and that will be 3

What is the slope of the graph?

Answers

The slope is -1
Hope you get this
No Mistakes


Which equation could best be used to determine the value
of f(3) for the function f(x) = 2x + 4?
1) f(3) = 23+ 4
2) f(3) = 2(3)+4
3) f(3) = 3(2x) + 4
4) f(3) = 3(2x + 4)

Answers

Answer:

2) f(3) = 2(3)+4

Step-by-step explanation:


(b)
Write down the integer value of x that satisfies 16 < 3x < 20

Answers

Answer:

x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.

Step-by-step explanation:

Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)

Please help me. I'm struggling with my math

Answers

Answer:

a. (4, -3)

b. (-2.5, -4)

Step-by-step explanation:

a. 2x - 4y = 20

x = 4

step 1: plug in x value

2(4) - 4y = 20

8 - 4y = 20

Subtract 8 on both sides

-4y = 12

divide both sides by -4

y = -3

b. y = 6x + 11

2x - 3y = 7

step 1: plug in the y value

2x - 3(6x + 11) = 7

step 2: distribute

2x - 18x  - 33 = 7

add 33 from both sides and combine like terms

-16x = 40

divide both sides by -16

x = -2.5

Okay now you plug in the x value to solve for y

y = 6(-2.5) + 11

y =-4

Which variable expression represents the following word phrase?
one-half the sum of a number and three

Answers

Answer:

The correct choice should be B.

Tell me if I'm wrong.

plz help??????????????????????

Answers

Answer:

Step-by-step explain

i did not do the 1 and 2 srry

What Is the value of x?
A: x = 2.25
B: x = 11.25
C: x = 13
D: x = 22

Answers

Step-by-step explanation:

I have shown all the steps of obtaining the value of X in the picture above therefore the value of x is 22 which means the answer iisD

solve the following equation
d) 0 = 12 + 2 ( m - 8 )
pls pls pls pls plz plz answer steps ​

Answers

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

[tex]m = 2[/tex]

Step-by-step explanation:

[tex]0 = 12 + 2(m - 8)[/tex]

remove the parentheses and distribute 2 through the parentheses

[tex]0 = 12 + 2m - 16[/tex]

calculate the difference

[tex]0 = - 4 + 2m[/tex]

move the variable to the left hand side and change its sign

[tex] - 2m = - 4[/tex]

divide both sides of the equation by -2

[tex] = m = 2[/tex]

hope it helps

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

Answer:

m = 2

Step-by-step explanation:

0 = 12 + 2 ( m - 8 )

→ Expand the brackets

0 = 12 + 2m - 16

→ Add 16 to both sides

16 = 12 + 2m

→ Minus 12 from both sides

4 = 2m

→ Divide both sides by 2

2 = m

simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]

Answers

[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]

(5^3)^6 = 5^6x3 —> = 5^18

7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;

Answers

here you go! i hope it helps

Does 2/3 = 4/9? Explain

Answers

Answer:

No

Step-by-step explanation:

2/3 > 1/2

4/9 < 1/2

Answer:

The left side ( [tex]\frac{2}{3}[/tex] )

0.6 (bar notation)  

does not equal to the right side ( [tex]\frac{4}{9}[/tex] )

0.4 (bar notation)

, which means that the given statement is false.

False

What is the probability of selecting an 8 from a standard deck of 52 playing cards, not keeping it, then selecting the ace of clubs? Type your answer in simplified fraction form.​

Answers

Answer:4/13

Step-by-step explanation:

It is 4*(4/52)

plzz helpp what's (12+9⁷)+1284​

Answers

Answer:

4784265

Step-by-step explanation:

(12+9⁷)+1284​

12 + 4782969 + 1284

4784265

Solving:

To resolve this issue first we have to remember the rules to resolve a numeric expression, see:

Power and RadiciationMultiplication and DivisionAddition Sum and Subtraction.

[tex]\sf \left(12+9^7\right)+1284\\\\\\\sf =12+4782969\\\\\\\sf =4782981+1284\\\\\\\to \boxed{\sf 4784265}[/tex]

Okay?!

negitive ten is no less than two times a number plus fourteen

Answers

Answer:

Negative 12

Step-by-step explanation:

-10 ≥ 2x + 14

-24 ≥ 2x [subtract 14 from both sides]

2x ≤ -24 [read right to left]

x ≤ -12  [divide both sides by 2]


Simplify the expression.
3.7-4.6n-3n + 6

Answers

Answer:

−7.6n+9.7

Step-by-step explanation:

First, lets put the equation

≈3.7 - 4.6n - 3n + 6

Add light terms

−7.6n + 9.7

Now were done

Find the value of x in the equation below. 2.7+x=11.7

Answers

X=9 because 11.7-2.7= 9.

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Given info:- X = √(4-√7) and Y = √(4+√7)

Find the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²?

Explanation:-

Given that:

X = √(4-√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ X = √[2{(4-√7)}/2]

⇛ X =√[(8-2√7)/2]

⇛ X =√[{(7+1)-2√7{/2]

⇛ X =√[{(√7)²+(√1)²-2(√7)(√1)}/2]

It is in the form of a²-2ab+b²

Where , a = √7 and b = √1

⇛X = √[{(√7-√1)}²/2] [(a-b)² = a²-2ab+b²]

⇛ X = (√7-√1)/√2

⇛ X = (√7-1)/√2 — — — — Eqⁿ(1)

and

Y = √(4+√7)

It can be written as

On multiplying and dividing by 2 in the squre root

⇛ Y = √[{2(4+√7)}/2]

⇛ Y =√[(8+2√7)/2]

⇛ Y =√[{(7+1)+2√7}/2]

⇛ Y =√[{(√7)²+(√1)²+2(√7)(√1)}/2]

It is in the form of a²+2ab+b²

Where , a = √7 and b = √1

⇛Y = √[{(√7+√1)}²/2] [(a+b)² = a²+2ab+b²]

⇛ Y = (√7+√1)/√2

⇛ Y = (√7+1 )/√2 — — — — Eqⁿ(2)

On adding Eqⁿ (1) & Eqⁿ(2)

→ X+Y = (√7-1)/√2+(√7+1)/√2

→ X+Y = (√7-1+√7+1)/√2

→ X+Y = (2√7 )/√2

→ X+Y = (√2×√2×√7)/√2

→ X+Y = √2×√7

→ X+Y = √14 — — — — Eqⁿ(3)

On Subtracting Eqⁿ(2) from Eqⁿ(1)

→ X-Y =[(√7-1)/√2]-[(√7+1)/√2]

→ X-Y =[ (√7-1 )-(√7+1)]/√2

→ X-Y = (√7-1-√7-1)/√2

→ X-Y = (-1-1)/√2

→ X-Y = -2/√2

→ X-Y = -(√2×√2)/√2

→ X-Y = -√2 — — — — Eqⁿ(4)

On multiplying Eqⁿ(1)& Eqⁿ(2)

→ XY = [(√7-1)/√2][(√7+1)/√2]

→ XY = (√7-1)×(√7+1)/(√2×√2)

→ XY = [(√7)²-(1)²]/(2) [(a+b)(a-b) = a²-b²]

→ XY = (7-1)/2

→ XY = 6/2

→ XY = 3 — — — — — Eqⁿ(5)

Now,

The value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)²

It can be written as

⇛[(X-Y)²/3] + [ XY(X+Y) ]²+(X+Y)²

From Eqⁿ(3), Eqⁿ(4)& Eqⁿ(5)

⇛ [(-√2)²/3] + [ 3(√14)]²+(√14)²

⇛ (2/3) + (9×14)+(14)

⇛ (2/3)+(126)+(14)

⇛ (2/3)+140

⇛ [2+(3×140)]/3

⇛(2+420)/3

⇛ 422/3

Therefore, the value of [(X-Y)/√3]²+(X²Y+XY²)²+(X+Y)² is 422/3.

If you have any doubt, then you can ask me in the comments.

The graph of f(x) = 2x + 3 is shown above. Which graph represents f-'(x)?​

Answers

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.


At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)

Answers

Gemma made $34 more money than Leah :)

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

Noah has 3 meters of rope. How many 3/4 meter pieces of rope can he cut from it?

Answers

Answer:

4

Step-by-step explanation:

3/(3/4)=4

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