Solve for a 7a - 2b = 5a + b

The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

Perimeter of a rectangle  = 2 (length and breadth)

the scale of the drawing is 1:500

let's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.

Perimeter of the scale drawing playground = 2(length+breadth)

                                                                        [tex]= 2 (x+y)[/tex]

Perimeter of the real playground = 2(length+breadth)

                                                       [tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]

Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.

Learn more about scaling and magnification:

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Answer:

14/2187

Step-by-step explanation:

Let us first see how many possible outcomes there are. We can to that by multiplying 9^4. This gives us 6561.

Now, we can see what are the possible outcomes that meet the requirements. We can get this by multiplying 1 • 1 • 7 • 6, which is 42.

Our fraction is 42/6561, which is 14/2187.

Hope this helped!

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

Answer:

F = 4

solution,

-11f=7(1-2f )+5

Or -11 f = 7-14 f +5

Or -11 f +14 f = 5+7

Or 3 f = 12

Or f=12/3

F = 4

hope this helps...

good luck on your assignment...

Answer:

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Step-by-step explanation:

All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.

10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Answer:

(16,4)

Step-by-step explanation:

To go from M to S

(-4, 2.5)

Reverse

(16,4)

Answer:

work is shown and pictured

Resposta: 73 ° C

Explicação passo a passo:

Dado o seguinte:

Temperatura (T1) na decolagem localizada a 800 metros acima do nível do mar = 32 ° C

Temperatura (T2) à altitude máxima de 3200 metros acima do nível do mar = - 41 ° C

Portanto ;

A variação da temperatura externa entre o ponto de decolagem e a altitude máxima pode ser calculada por:

Diferença entre a temperatura de decolagem e a temperatura na altura máxima.

Variação externa da temperatura = (T1 - T2)

32 ° C - (-41 ° C)

= 32°C + 41°C

= 73°C

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

Answer:

the correct answer is true

Step-by-step explanation:

An isosceles trapezoid is a trapezoid with congruent legs.=true

hope this helps you!!!!!!!!!!

Answer:

first complete the table by filling blank space on y axis

Then choosing a suitable scale, two squared box on the graph paper represent 1 unit for both axis.

Then draw a graph using x and y coordinate

(b) minimum value of y you dote a line from the turning point of the curve towards y axis then read the value

For this case it is -3.2

(c).To get the value of y when X=-3.5,

you dote alone from X =-3.5 on the X axis towards the curve vertically until you meet the curve then from the meeting point dote a line towards y axis and read the value.

which gives y=0.8

(d). draw a horizontal line at y=3 to meet the curve on both sides then dote a line from the meeting point vertically towards X axis and read the value on the X axis.

Answer:

No

Step-by-step explanation:

Does (3, 7) satisfy the first equation, y = -4x - 5?  Is 7 = -4(3) - 5 true?  NO.  Thus, (3, 7) cannot be a solution of the system

y=-4x-5

y=3x-2

The given point (3, 7) is not the solution in the given case.

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given equations are as follows,

y = -4x - 5                                (1)

y = 3x - 2                                 (2)

In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.

For equation (1),

y = -4x - 5  

LHS is y  = 7

RHS = -4x - 5

       = -4 × 3 - 5

       = -17

Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.

Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).

Hence, the given coordinate  (3,7) is not the solution for the given equations.

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[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]

Answer:

It is C

Step-by-step explanation:

Answer:

9a + 27

Step-by-step explanation:

=> 3(a+3) + 6(a+3)

Expand the brackets

=> 3a+9 + 6a+18

Combining like terms

=> 3a+6a+9+18

=> 9a + 27

Answer:

9a+24

Step-by-step explanation:

3a+6+6a+18

Simplify:

9a+24

Answer:

y = √ x + 4

The domain of a function is the value in which you put in the function will make it undefined.

To find the domain equate the function to zero

That's

√x + 4 = 0

square both sides

x + 4 = 0

x = - 4

The domain of the function is x E R except - 4

Hope this helps

Answer:

Step-by-step explanation:

y=√x+4

domain is [0,∞)

range is [4,∞)

Answer:

See below.

Step-by-step explanation:

We have:

[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right)[/tex]

Simply plug in each value:

When x = 7.9, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx 0.0012[/tex]

When x = 7.99, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0001[/tex]

When x = 7.999, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0000[/tex]

When x = 8.001, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0000[/tex]

When x = 8.01, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0001[/tex]

And when x = 8.1, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0012[/tex]

From this pattern, we can conclude that:

[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right) = 0[/tex]

Since as the limit approaches 8, the value gets smaller and smaller and approaches zero.

Graphing this, we can confirm our answer.

Answer:

Box e

Step-by-step explanation:

14/20=0.7

Step-by-step explanation:

In my opinion 125 is an outlier because it is the only 3 digit number

Answer:

9 cm

Step-by-step explanation:

Every centemeter represents three. 3km=1cm.

The number of kilometers/3= the number of centemeters.

the number of centemeters x 3= the number of kilometers.

We now have three equations to help us covert back and forth.

The question asks us to convert 27km in real life, to centemeters on a map. We use the first forumla to help us:)

The number of kilometers/3= the number of centemeters.

27/3=the number of centemeters.

Thus, the answer is nine.

Answer:

9cm

Step-by-step explanation:

1:3 this is the starting ratio

if we replace 3 for 27 we just divide them to get 9 so the new ratio is 9:27.

Answer:

35

Step-by-step explanation:

Given

the above lines of code

Required

What's the output

We'll analyze the code line by line

a = 2 + 6

At this point a = 8

b = 7 % 3

At this point b = 1. This is so because, the remainder of 7%3 is 1

c = a - b

At this point c = 7;

This is calculated by c = 8 - 1 = 7

c = c * 5

At this point; c = 35

This is calculated by: c = 7 * 5 = 35

print(c)

The value of c, which is 35 is printed

Answer:

The third angle is 136

Step-by-step explanation:

The three angles of a triangle add to 180

27+17+x = 170

Combine like terms

44+x = 180

Subtract 44 from each side

44+x-44 =180-44

x =136

Answer:

136° is the answer.

Step-by-step explanation:

given ,

1st angle=27°

2nd angle= 17°

let the third angle be x

then ,x+27°+17°=180°

or x+44°=180°

or, x=180_44

therefore the value of x is 136°.

I hope this helps you

x+x-47=x+42

x=42+47

x=89°

Hey there! :)

Answer:

x = 89°.

Step-by-step explanation:

x + 42 is supplementary to the inside angle at the top of the triangle, so:

The top angle of the triangle is equal to:

180 - x - 42.

All of the angles in a triangle add up to 180°, therefore:

180 = x + x - 47 + 180 - x - 42

Combine like terms:

180 = 2x + 133 - x - 42

180 = x + 91

Subtract 91 from both sides:

89 = x.

Therefore, x = 89°.

Answer:

19/4

Step-by-step explanation:

First convert 1 1/4 into a improper fraction:

5/4

Then convert 3 1/2 into a improper fraction:

7/2

Now find the LCM of both denominators:

4

Now multiply the fractions such that the denominators are equal to 4:

5/4 x 1/1 = 5/4

7/2 x 2/2 = 14/4

Now add the numerators:

5 + 14 = 19

Now put the numerator and denominator together to get:

19/4

Answer:

4 3/4

Step-by-step explanation:

1 1/4 +3 1/2 =

5/4 + 7/2=

5/4 + 14/4=

19/4= 4 3/4

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = [tex]\frac{135}{45}=3[/tex]

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

[tex]a_n=a(r)^{n-1}[/tex]

[tex]a_n=45(3)^{n-1}[/tex]

Recursive formula of this sequence will be,

[tex]a_n=3(a_{n-1})[/tex], [tex]a_1=45[/tex]

Therefore, Option (B) will be the answer.

Answer:

no real solutions

Step-by-step explanation:

If equation is...

[tex]2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0[/tex]

= no real solutions

Answer: 2ayx4a

Step-by-step explanation:

1) First, we will need to simplify each equation:

4ax2y = 8axy

8axy = 8axy

2ayx4a = 8ayx4a

ax8y = 8axy

2) We can now see that 2ayx4a is not the same as the others.

Answer:

[2,4]

Step-by-step explanation:

Answer:

2 or 3

Step-by-step explanation:

2 is one of them

3 is another of them

Answer:

x = 108

Step-by-step explanation:

Start by finding what 2x equals

24 x 9 = 216

multiply 24 by 9 and you get 216

216 = 2x

now isolate for x by dividing both sides by 2, leaving x by itself on one side of the equation

216 / 2 = x

x = 108

Answer:

108=x

step-by-step explanation:

24(9)=2x

216=2x

216/2=2x/2

Answer:

The answer is option B.

-3 , - 0.9 , 45

Hope this helps you

Explanation:

The negative numbers are always smaller than the positive ones. So we list those first. The number -3 is smaller than -0.9 since it is further to left on the number line. So far we have -3 followed by -0.9. The last value must be 45 as its the only thing left. The sequence from smallest to largest is therefore -3, -0.9, 45. A number line is recommended to see the values being placed from left to right.

Answer:

14 km

Step-by-step explanation:

6 km in the afternoon

x km in the morning

6= x- 25%

6= 0.75x

x= 6/0.75

x= 8 km

total 6+8= 14 km

Answer:

High Hopes <3

Barry