Solve equations
12 + b = 42
M - 12 = - 16
-224= 4 x
-3= b over 12
V over 4 = 12
2( n+ 3)=- 12
-3+ x over 5 =-8
-2= x+2 over 6
2(n+6)=-8
-3 x-20= -155

Answer:

2x-10+3x+33

5x+23

Step-by-step explanation:

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Answer: Yes, a coefficient can have two variables.

Answer:

y = 3x+3

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Work Shown:

Expand out the left hand side

(x-k)(x-5)

x(x-5)-k(x-5)

x^2-5x-kx+5k

Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20

For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20

Therefore,

(x-k)(x-5) = x^2-9x+20

updates to

(x-4)(x-5) = x^2-9x+20

The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.

Answer:

26-8i

Step-by-step explanation:

Answer:

898989/1000000

Step-by-step explanation:

Yes it can be written as a simplified fraction. Since there are 6 numbers to the right of the decimal point, you would move the decimal point to the left of the number.

0.898989

start by moving the decimal point to the left 898989

since you moved your decimal point 6 times to the left it would be 10^6

hence, 898989/1000000

The repeating decimal 0.898989... Or [tex]0.\overline{89}[/tex] can be written as 89/99.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

We know a repeating decimal can be written as a fraction.

We'll put as many 9s in the denominator as there are repeating digits after the decimal and in the numerator, we'll simply write the repeating digits after the decimal.

So, 0.89898989 is 0.89 repeating.

∴ [tex]0.\overline{89}[/tex] = 89/99.

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Answer:

True an angle is two intercepting line segments that share an point

False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.

Step-by-step explanation:

Step-by-step explanation:

Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.

180 - x = 3x + 24

4x = 156

x = 39

Hence the original angle is 39° and the supplementary angle is 141°.

The angles are 39° and 141°.

Two angles are said to be complementary to each other when their sum is 90°

According to the given question

The measure of the supplement angle is 24 more than the measure of the original angle.

Let the original angle be x

So from the given data it's supplement angle is 3x + 24.

We know two angles are supplementary when their sum is 180°.

∴ x + 3x + 24° = 180°

     4x = 156°

       x = (156/4)°

      x = 39°.

So, the original angle is 39° and it's supplementary angle is 141°.

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Answer:

Your correct answer is option B.

Step-by-step explanation:

Option b is the highest number in the options. and, the dot on the number line is closest to the 5. Therefore, your correct answer is option B.

√24 can be the number shown on the number line. Hence, option A is the right choice.

The integers are put at equal intervals on number lines, which are horizontal straight lines. A number line can depict all of the numbers in a series. At both ends, this line continues endlessly.

In the question, we are given a number line showing a point between 4 and 5, which is very close to 5.

We analyze all the given options for a number similar to the number marked on the number line to get the correct option.

To remember, 4 = √16, and 5 = √25

After analyzing all the given options, only A. √24 and C. √20 fall between 4 and 5, and the closest to 5 among them is √24, so that is the right choice.

∴ √24 can be the number shown on the number line. Hence, option A is the right choice.

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Answer:

Scale for drawing is 1:350

Step-by-step explanation:

scale is ratio of size of drawing and size of actual object for which the drawing is made

it is represented as

scale = size of drawing : size of actual object

given

length of model in drawing = 2cm

length of bedroom in reality = 7 meter

since there are two units we meter and cm

we convert both in same unit that is cm for simpler calculation

1 meter = 100 cm

7 meter = 7*100 cm = 700cm

length of bedroom in reality = 7 meter = 700 cm

Thus,

scale for drawing = length of drawing/ actual length of bedroom

scale for drawing = 2 cm : 700cm = 1:350

Scale for drawing is 1:350

Answer:

[tex]x \geq 255[/tex]

Step-by-step explanation:

The options are not visible; however the question can still be solved

Given

Least Value = $255

Required

Determine the inequality

When the phrase "at least" is used, the its direct representation is the mathematical symbol [tex]\geq[/tex]

So: At least 255 means

[tex]\geq 255[/tex]

Representing the values with variable x, the complete inequality becomes

[tex]x \geq 255[/tex]

Answer:

j(x) is an odd function

Step-by-step explanation:

We are given;

j(x) = 220/x³ and j(-x) = 220/(-x)³

Now,

when x = 1;

j(x) = 220/1³ = 220/1 = 220

j(-x) = 220/(-1)³ = 220/-1 = -220

When x = 2;

j(2) = 220/2³ = 220/8

j(-2) = 220/(-2)³ = -220/8

Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.

From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.

Answer:

A) j(x) is an odd function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the court yard is square in nature, the area of the court yard will be exprerssed as;

A = Length * Length

A(x) = L²

Given area of the court yard A(x) = x^2 - 22x + 121

x^2 - 22x + 121= L²

Factorizing the quadratic expression

(x^2 - 11x) -(11x+ 121) = L²

x(x-11)-11(x-11) = L²

(x-11)(x-11) = L²

(x-11)² = L²

Square root both sides to the length of the courtyard

√(x-11)² = √L²

L = x-11

Hence the  length of the courtyard is (x-11)ft

b) The perimeter of the courtyard P = 4L

P = 4(x-11)

P = 4x - 44

Hence an expression for the perimeter of the courtyard is 4x-44 feet

Answer:

The formula makes sense

Step-by-step explanation:

For illustration purposes, we will assume the yard is a rectangle ( such assumption does not in any way invalid the arguments that follows

Dimensions of the yard

L = 10 m

w = 4 m

A = 40 m²

Arguments:

1.- The required time (t)  is proportional to the area (A). That means ( keeping all parameters fixed but Area ) we need more time to mow a bigger area yard. Then  t ∝ A

You can see that if the yard is 40 m²  you will take let´s say 0,5 day and you will need more time if the area is 100 m² ( it seems obvious )

2.- Let´s now assume the width of the mower is 1 m if you move along the length you will need to go forward and backward  4 times. Now think about a mower of 4 m ( it does not matter if that machine exists or no, is just a mental experiment) in that case you only need one pass, then the required time is inversely proportional to the width of the mower. That means a bigger width of the mower minor required time. Then t ∝ 1/w

3.-If now we keep the width of the mower but increased the speed of the machine we will reduce the working time. Time is an inversely proportional function of the speed of the machine since each required pass will take less time. Then  t ∝ 1/v

We have evaluated three parameters A, w, and v ( area, the width of the mower,  and speed ) and demonstrated the way each of these parameters influences the time, so far we don´t know how much each of them contributes  in the total output, for that we have to measure and get conclusions, Furthermore coefficient 1,15 (in formula seems to take into account the hole combinations of the factors)

Answer:

4x

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors.

Step-by-step explanation:

-10(-v + 6w) -w - 9(-3w - v)

= 10v - 60w - w + 27w + 9v

=19v - 34w

Hope this helps.. Good luck :)

Answer:

17.4

Step-by-step explanation:

Given the question :

an integer is 10 times the difference of a rational number and 5. If the value of the integer is 124, what is the value of the rational number?

An integer = 124 is 10 times the difference of a rational number and 5

Let the rational number be r

Hence,

124 = 10 × (r - 5)

124 = 10r - 50

124 + 50 = 10r

174 = 10r

Divide both sides by 10

174 / 10 =. 10r / 10

17.4 = r

r = 174 / 10 or 17.4

the answer is $149.46 c:

Answer:

The difference in width is 2000 cm.

Step-by-step explanation:

The wideness of Fernando’s lawn = 30 meters

Neighbour’s lawn = 50 meters

Now we have to find the difference in width that can easily find out by subtracting the width of Fernando’s lawn from the neighbor’s lawn.

The difference in width = neighbor's lawn - Fernando's lawn

The difference in width = 50 - 30

The difference in width = 20 meters

The difference in width = 20 meters ×100 = 2000 cm.

Answer:

Actual area = 21600 Sq.miles

Step-by-step explanation:

We are given;

length; L = 4 inches

Width; W = 6 inches

The scale of the map; 1 inch for every 30 miles i.e. 1 : 30

Since the scale is 1:30, let's find the find the actual dimensions and then the actual area

For the Length,

Since 1 inch represents 30 miles,

Then, 4 inches = (4 × 30)/1 = 120 miles

For the width;

Since 1 inch represents 30 miles,

Then,6 inches = (6 × 30)/1 = 180 miles

Therefore, the actual dimensions are 120 miles and 180 miles

Now, formula for area of rectangle = length × width

Thus;

Actual area = 120 × 180

Actual area = 21600 Sq.miles

Answer:

The answer is 29

Step-by-step explanation:

5(7)-6 once you put it in the calculator you will get 29 as the answer for all of it. The w is 7 and when you place it next to the 5 you have to multiply it and then subtract it by the x which is the 6.

I hope this helps!

After substituting, the value of expression is 29.

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expression is,

⇒ 5w - x

And, w = 7 , x = 6

Since, The expression is,

⇒ 5w - x

Substitute the value of w and x, we get;

⇒ 5×7 - 6

⇒ 35 - 6

⇒ 29

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Answer: x=7

Step-by-step explanation:

got it right on edg

Answer:

x = 7

Step-by-step explanation:

8x - 17 + 5x - 3 = +71

13x - 20 = +71

     + 20 = +20

13x = 91

13x/13 = 91/13

x = 7

Step-by-step explanation:

2x + 10y = 50 ... 1

1.5x + 25y = 90 ...2

...1 × 2.5

5x + 25y = 125 ...3

...3 - ...2

3.5x = 35

x = 10

replaced x = 10 in ...1

2(10) + 10y = 50

20 + 10y = 50

10y = 50 - 20

10y = 30

y = 3

Answer: 1

8-9=-1

-1 additive inverse is 1                

Answer:

51, 42, 33

Step-by-step explanation:

87, 78, 69, 60, 51, 42 , 33

They all are differences of 9, so just subtract 9 to the the pattern

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Answer:

A: experiment

B: observational study

C: observational study

D: experiment

Step-by-step explanation:

Answer:

first three terms are

-1, -1/2 & 0

Step-by-step explanation:

here,

a=-1

and d=1/2

so

t1 = -1

t2 = a+(n-1)d= -1 +(2-1)*(1/2)=-1/2

t3= a+(n-1)d= -1 +(3-1)*(1/2) =0

Answer: 7.4 x 10^ -5