The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?​

Answer:

O d. (7,5)

Step-by-step explanation:

x – 3y = -8 (1)

3x + 2y = 31 (2)

From (1)

x = -8 + 3y

Substitute x = -8 + 3y into (2)

3x + 2y = 31 (2)

3(-8 + 3y) + 2y = 31

-24 + 9y + 2y = 31

-24 + 11y = 31

11y = 31 + 24

11y = 55

y = 55/11

y = 5

Substitute y = 5 into (1)

x – 3y = -8 (1)

x - 3(5) = -8

x - 15 = -8

x = -8 + 15

x = 7

(x, y) = (7, 5)

Answer:

Probably 10

Step-by-step explanation:

10/5=2

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Answer:

Step-by-step explanation:

If the product of 2 integers is -12, then that equation looks like this:

xy = -12

If the sum of those same 2 integers in 1, then that equation looks like this:

x + y = 1

Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us

x = 1 - y and plug that into the first equation in place of x to get:

(1 - y)y = -12 and

[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:

[tex]-y^2+y+12=0[/tex] and the 2 values for y are

y = -3 and y = 4. Let's see what happens when we solve for x.

If xy = -12 and y is -3:

x(-3) = -12 so

x = 4

If xy = -12 and y is4:

x(4) = -12 so

x = -3

So it looks like the 2 integers are -3 and 4

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

Answer:

y = -1/3x - 2/3

Step-by-step explanation:

y = -1/3x + b

-2 = -1/3(4) + b

-2 = -4/3 + b

-2/3 = b

Answer:

The probability of a person getting their own hat is 1/5 or 20%.

Step-by-step explanation:

If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.

Answer:

(5, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - 3y = 25

5x + 3y = 10

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

(5,-5)

Step-by-step explanation:

Hi there!

We are given this system of equations:

2x-3y=25

5x+3y=10

and the question asks to solve it by elimination

To solve by elimination, we will add the equations together to clear one variable, solve for the variable that wasn't cleared, then use the value of the variable that wasn't cleared to solve for the variable that was cleared earlier

Before we clear a variable, the coefficients  in front of the variable that we want to clear need to be opposites (ex. if we wanted to clear x, the coefficients of x in the systems have to be -2 and 2, as that would equal 0).

In this case, the coefficients in front of y in the equations are -3 and 3 respectively. That equals 0, so y would be cleared if we added the equations together

so we don't have to multiply or divide by anything prior to clearing

Let's add the equations together. Remember that y will be cleared, as (-3y+3y=0)

2x-3y=25

+

5x+3y=10

______________

7x+0=35

subtract 0 from both sides

7x=35

divide both sides by 7

x=5

we found the value of x

now we need to find the value of y

substitute 5 as x into either one of the equations to solve for y

if we were to do it into 2x-3y=25 for instance,

2(5)-3y=25

multiply

10-3y=25

subtract 10 from both sides

-3y=15

divide both sides by -3

y=-5

So the answer is x=5, y=-5, or as point (5,-5)

Hope this helps! :)

Answer:

x = 3

Step-by-step explanation:

Step-by-step explanation:

3(8x-8)/2=64

3(8x-8)=64×2

24x-24=128

24x=128+24

24x=152

24x/24=152/24

x=6.3

Answer:

38.5

Step-by-step explanation:

b^2= 29^2+20^2-2×20×29× Cos 102

b^2=841+400-1160 (-0.2079)

=1241- 241.164

b^2=1482.164

b= square root of 1482.164

AC = 38.5

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

Answer:

y = 4x² - 43x + 178

Step-by-step explanation:

Given that data:

1 __ 137

2 __ 110

3 __ 93

4 __ 70

5 __ 65

6 __ 77

Usibg technology, the quadratic regression equation obtained is written in the form:

Ax² + Bx + C

A = 4.34 = 4 ( nearest whole number)

B = - 43.46 = - 43 (nearest whole number)

C = 178.3 = 178 ( nearest whole number)

Hence, the quadratic model is

y = 4x² - 43x + 178

By rounding the coefficients to the nearest whole number, the quadratic function that models the data is[tex]f(x) = 5x^2 - 42x + 174[/tex]

To find a quadratic function that models the data,  use a quadratic equation of the form:

[tex]f(x) = ax^2 + bx + c[/tex]

Let's use the given data points to form a system of equations and solve for the coefficients a, b, and c.

Using the first data point (month 1 with 137 births):

[tex]f(1) = a(1)^2 + b(1) + c = 137[/tex]

a + b + c = 137 (Equation 1)

Using the second data point (month 2 with 110 births):

[tex]f(2) = a(2)^2 + b(2) + c = 110[/tex]

4a + 2b + c = 110 (Equation 2)

Using the third data point (month 3 with 93 births):

[tex]f(3) = a(3)^2 + b(3) + c = 93[/tex]

This simplifies to:

9a + 3b + c = 93 (Equation 3)

Solve this system of equations will give us the values of a, b, and c.

Subtract Equation 1 from Equation 2

3a + b = -27 (Equation 4)

Subtract Equation 1 from Equation 3

8a + 2b = -44 (Equation 5)

Now  solve Equations 4 and 5 simultaneously.

Multiply Equation 4 by 2 and subtracting it from Equation 5:

8a + 2b - (6a + 2b) = -44 - (-54)

2a = 10

Divide both sides by 2:

a = 5

Now substitute the value of a back into Equation 4:

3(5) + b = -27

15 + b = -27

Subtract 15 from both sides:

b = -42

Finally, substitute the values of a and b into Equation 1

5 + (-42) + c = 137

-37 + c = 137

Add 37 to both sides:

c = 174

Therefore, the quadratic function that models the data is:

[tex]f(x) = 5x^2 - 42x + 174[/tex]

Rounding the coefficients to the nearest whole number, the quadratic function becomes:

[tex]f(x) = 5x^2 - 42x + 174[/tex]

Learn more on quadratic on https://brainly.com/question/1214333

#SPJ3

Answer:

Mean = 2.33

Step-by-step explanation:

Given that,

conceded goals : 0 1 2 3 4

Frequency : 2 8 4 10 6

Mean,

[tex]M=\dfrac{\Sigma fx}{\Sigma f}\\\\M=\dfrac{0\times 2+1\times 8+2\times 4+3\times 10+4\times 6}{2+8+4+10+6}\\\\=\dfrac{70}{30}\\\\M=2.33[/tex]

So, the required mean is 2.33.

Answer:

Collect like terms 5 p 2 − p 2

Step-by-step explanation:

#CarryOnLearning

Answer:

Traversable because it has exactly two odd nodes

Step-by-step explanation:

There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.

Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.

So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.

9514 1404 393

Answer:

  (x, y) = (1.4, -3.6)

Step-by-step explanation:

4. We choose to substitute into the second equation because it has positive coefficients.

  7(1.4) +2.5y = 0.8

  9.8 +2.5y = 0.8 . . . . simplify

  2.5y = -9.0 . . . . . . . subtract 9.8

  y = -3.6 . . . . . . . . . . divide by 2.5

The solution to the system is (x, y) = (1.4, -3.6)

Answer:

Step-by-step explanation:

Cross multiplication can be used but not in the beginning. First x should be isolated.

[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]

Now subtract [tex]\frac{5}{x}[/tex] from both sides

[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]

In this stage, cross multiplication can be used.

[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]

Answer:

x =0 and x =2/3

Step-by-step explanation:

as is no

but if you put an x under the 3 to make 3x/x

then you'd have 3x+5/x = 7/x

to make

3x^2 + 5x = 7x

this makes

3x^2 -2x =0

using the quadratic formula

answers

x =0 and x =2/3

Answer:

5 years

Step-by-step explanation:

(x+15)=4x

15=4x-x

15=3x

5=x

Answer:

The answer is A :)

Step-by-step explanation:

Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

BRAINLY

JannetPalos

Ambitious

808 answers

526.6K people helped

Answer:

A whole number is even if and only if it is evenly divisible by 2

Step-by-step explanation:

1.  The first statement is false because product of two negative integers is positive.

Ex:

(- 2) × (- 3) = 6

2.  The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.

Ex:

6 is divisible by 2 but not divisible by 4

3.  The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

4.  The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.

Ex:

6 is divisible by 2 and hence it is an even number

Answer:

F

Step-by-step explanation:I just took the test

Answer:

The length of tape to wrap = 5 cm

Step-by-step explanation:

Let the length of tape used to wrap 1 present be = x

Tape length            Number of presents

   15 cm                            3

      x                                 1

     [tex]\frac{15}{x} = \frac{3}{1} \\\\x \times 3 = 1 \times 15\\\\x = \frac{15}{3} = 5 \ cm[/tex]

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of three consecutive odd integers = [tex]27[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The values of the three integers.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].

As per the condition, we have

[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]

[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]

[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]

Now, collect the like terms.

[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]

[tex]➺ \: 3x + 6 = 27[/tex]

[tex]➺ \: 3x = 27 - 6[/tex]

[tex]➺ \: 3x = 21[/tex]

[tex]➺ \: x = \frac{21}{3} \\[/tex]

[tex]➺ \: x = 7[/tex]

Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]⇢ 7 + 9 + 11 = 27[/tex]

[tex]⇢ 27 = 27[/tex]

⇢ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Answer:

If you are talking about inequalities, t < r.

Step-by-step explanation:

Since s is bigger than t and r is bigger than s,

r should be bigger than t obviously.

Answer:

cuadradas 777,2 unidades

Step-by-step explanation:

Answer:

67.7

Step-by-step explanation:

i just took the quiz

Answer: (1, 8)

Step-by-step explanation:

Substitute y = 3x + 5 into the equation 2x + 3y = 26:

2x + 3(3x + 5) = 26

2x + 9x + 15 = 26

11x = 26 - 15

11x = 11

x = 1

Substitute the value of x into the equation y = 3x + 5:

y = 3(1) + 5 = 3 + 5 = 8

Within similar triangles, the angles are the same. So, we need to look at the side lengths then.

72 to 12

66 to 11

42 to 7

In each pair of corresponding side lengths, the original side length from triangle ABC is divided by 6 (or multiplied by 1/6) to get the smaller side length on triangle DEF.

The scale factor from ABC to DEF is 1/6.

Hope this helps!

Answer:

38

Step-by-step explanation:

6⅓÷⅙

change 6⅓ to improper fraction

19/3÷1/6

keep the first fraction, change the division sign to multiplication and reciprocate/flip the second fraction

19/3× 6/1

the denominator 3 and numerator 6 will simplify/cancel each other

the new fraction is now: 19/1 × 2/1

there is no need to multiply the denominators because it will still be equal to 1 so we just need to multiply the numerators by each other

19×2=38 OR 38/1 (both answers are the same)

Answer:

the center is -1,1 and the radius is 4 i think

Step-by-step explanation:

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation: