Solve the following equations, show all work. Leave your answers in reduced improper fraction form .

X+7/6=2x-7/6

The first integer = x

The second integer = x + 1

The third integer = x + 2

The fourth integer = x + 3

The fifth integer = x + 4

Since they all add up to 5, let's set them equal to 5

x + x + 1 + x + 2 + x + 3 + x + 4 = 5

Combine like terms

5x + 10 = 5

Subtract 10 from both sides

5x = -5

Divide each side by 5

x = -1

The first integer = x = -1

The second integer = x + 1 = -1 + 1 = 0

The third integer = x + 2 = -1 + 2 = 1

The fourth integer = x + 3 = -1 + 3 = 2

The fifth integer = x + 4 = -1 + 4 = 3

We can check this by adding all the integers together and making sure we get 5

3 + 2 + 1 + 0 - 1 = 5

Answer:

0

Step-by-step explanation:

If the sum of the integers is 5, then the arithmetic mean of the integers is [tex]$\frac{5}{5}=1$[/tex] .  In five consecutive integers, the arithmetic mean is equal to the middle integer, which means the integers are -1, 0, 1, 2, 3 and the product is [tex]$\boxed{0}$[/tex].

Hope this helped! :)

Answer:

X

Step-by-step explanation:

Answer:

ANSWER IS TIME

Step-by-step explanation:

time

Answer:

  6 m

Step-by-step explanation:

Multiply your scale by 1.2 m:

  1 : 5 = 1.2 m : 6.0 m

The wings on the plane are 6.0 m long.

Answer:

I believe it is 3.3881318e-21 but you could round that

Step-by-step explanation:

Answer:

the missing value is 9.33.

Step-by-step explanation:

given,

length (l) = 3x+2

breadth (b) = 4

perimeter(P) = 68 cm

now,

P = 2(l+b)

or, 68 = 2× ( 3x+2+4)

or, 68 = 2× ( 3x+ 6)

or, 68 = 6x+12

or, 68 - 12= 6x

or, 56 = 6x

or, 6x = 56

or, x = 56/6

or, x = 9.33

Answer:

yes but there might be slightly change in it

Answer:

Yes 3/4 is the same as 3/4.

(I might be wrong)

Step-by-step explanation:

Step One: Rewrite the ratio as a fraction

[tex]3 : 4 = \frac{3}{4}[/tex]

Step Two: Reduce and simplify the fraction

This fraction is already reduced so no further work is needed

Hope this helped you!

Answer:

reflective

Step-by-step explanation:

This statement shows the reflective property.

Answer:

Domain All real x.

Range f(x) >= 1.

Step-by-step explanation:

The domain is all real numbers.

|x| is always positive.

At x = 0:

f(x) = |0| + cos 0

= 1  which is the minimum value.

Answer:

-273.15

Step-by-step explanation:

trust me and ull see

Step-by-step explanation:

show yourself simplifying into y=mx+b format

263.89

263.89*5=1319.45

We are given with the radius of the circular field,

[tex]r = 42 \: m[/tex]

And, we have to find the perimeter of the field. Also, we have to find the length of the wire required to fence it with 5 rounds:

We know,

Perimeter of a circle = 2πr, where r is the radius of the circle, So let's find the perimeter by using this formula.

[tex]perimeter = 2\pi r[/tex]

[tex]perimeter = 2 \times \dfrac{22}{7} \times \: 42 m[/tex]

[tex]perimeter = 2 \times 22 \times 6 \: m[/tex]

[tex]perimeter = \boxed{264 \: m}[/tex]

Now, finding the length of the wire which is equals to 5 × Perimeter of the circular field.

[tex]length \: of \: wire = 264 \: m \times 5[/tex]

[tex]length \: of \: wire = \boxed{1320 \: m}[/tex]

And we are done !!

#CarryOnLearning.

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Answer:

B

Step-by-step explanation:

Because 298 time 6 is 1,788 :)

53 is a prime number !!

Answer:

53

Step-by-step explanation:

Answer is 53:)

Answer:

A

Step-by-step explanation:

Answer:

20 is 1/10 of 200

Step-by-step explanation:

20* 10 = 200

Answer:

the answer is 200/1

Answer:

A

Step-by-step explanation:

Find the midpoint by using A and B.

Then use the midpoint and B to find the 3/4 point.

Answer:

does not pass the vertical line test so the graph is not a function

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

10+x=19

move 10 over the =

x =19-10

x=9

Hey there!

[tex]10+x=19[/tex]

To solve, you can just do 19 - 10.

[tex]19-10=9[/tex]

Now let's complete x.

[tex]10+x(9)=19\\10+9=19\\x=9(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

Step-by-step explanation:

Base 5 uses 0, 1 , 2, 3, 4

When we add 2+ 1 = 3

When we add 4 +3 = 7 = 5 +2 . 5 will be carried as 1

4 + 3= 12

In subtraction, 32 - 4

From 2 we cannot subtract 4. So, borrow 5 from 3. So, 2+5 = 7.

7-4=3

32 -4 = 23

I have attached the sums

Answer:

D. 50

Finding out the mean is actually pretty simple. All you have to do is add up the numbers, then divide that by how many numbers there are. For this graph, here's what you do:

35 + 40 + 45 + 50 + 55 + 60 + 65 = 350

Since there are seven numbers, you divide 350 by 7.

350 ÷ 7 = 50

And that's your answer! hope this helps

Answer: x=3.5

Step-by-step explanation:

Answer:

(i). [tex]y = 2\, x^2 - 4\, x + 1 = 2\, (x - 1)^2 - 1[/tex]. Point [tex]A[/tex] is at [tex](1, \, -1)[/tex].

(ii). Point [tex]Q[/tex] is at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex].

(iii). [tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex] (slope-intercept form) or equivalently [tex]x + 5\, y - 17 = 0[/tex] (standard form.)

Step-by-step explanation:

Note, that when [tex]a(x + b)^2 + c[/tex] is expanded, the expression would become [tex]a\, x^2 + 2\, a\, b\, x + a\, b^2 + c[/tex].

Compare this expression to the original [tex]2\, x^2 - 4\, x + 1[/tex]. In particular, try to match the coefficients of the [tex]x^2[/tex] terms and the [tex]x[/tex] terms, as well as the constant terms.

Hence, the original expression for the parabola is equivalent to [tex]y = 2\, (x - 1)^2 - 1[/tex].

For a parabola in the vertex form [tex]y = a\, (x + b)^2 + c[/tex], the vertex (which, depending on [tex]a[/tex], can either be a minimum or a maximum,) would be [tex](-b,\, c)[/tex]. For this parabola, that point would be [tex](1,\, -1)[/tex].

Assume [tex](m,\, n)[/tex] is an intersection of the graphs of the two functions [tex]y = 2\, x^2- 4\, x + 1[/tex] and [tex]x -y + 4 = 0[/tex]. Setting [tex]x[/tex] to [tex]m[/tex], and [tex]y[/tex] to [tex]n[/tex] should make sure that both equations still hold. That is:

[tex]\displaystyle \left\lbrace \begin{aligned}& n = 2\, m^2 - 4\, m + 1 \\ & m - n + 4 = 0\end{aligned}\right.[/tex].

Take the sum of these two equations to eliminate the variable [tex]n[/tex]:

[tex]n + (m - n + 4) = 2\, m^2 - 4\, m + 1[/tex].

Simplify and solve for [tex]m[/tex]:

[tex]2\, m^2 - 5\, m -3 = 0[/tex].

[tex](2\, m + 1)\, (m - 3) = 0[/tex].

There are two possible solutions: [tex]m = -1/2[/tex] and [tex]m = 3[/tex]. For each possible [tex]m[/tex], substitute back to either of the two equations to find the value of [tex]n[/tex].

Hence, the two intersections are at [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] and [tex](3,\, 7)[/tex], respectively.

The coordinates of point [tex]A[/tex] and point [tex]P[/tex] each have two components.

Let [tex]M[/tex] denote the midpoint of segment [tex]AP[/tex]. The [tex]x[/tex]-component of point [tex]M[/tex] would be [tex](1 + 3) / 2 = 2[/tex], the average of the [tex]x[/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Similarly, the [tex]y[/tex]-component of point [tex]M[/tex] would be [tex]((-1) + 7) / 2 = 3[/tex], the average of the [tex]y\![/tex]-components of point [tex]A[/tex] and point [tex]P[/tex].

Hence, the midpoint of segment [tex]AP[/tex] would be at [tex](2,\, 3)[/tex].

The slope of the line joining [tex]\displaystyle \left(-\frac{1}{2},\, \frac{7}{2}\right)[/tex] (the coordinates of point [tex]Q[/tex]) and [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) would be:

[tex]\displaystyle \frac{\text{Change in $y$}}{\text{Change in $x$}} = \frac{3 - (7/2)}{2 - (-1/2)} = \frac{1}{5}[/tex].

Point [tex](2,\, 3)[/tex] (the midpoint of segment [tex]AP[/tex]) is a point on that line. The point-slope form of this line would be:

[tex]\displaystyle \left( y - \frac{7}{2}\right) = \frac{1}{5}\, \left(x - \frac{1}{2} \right)[/tex].

Rearrange to obtain the slope-intercept form, as well as the standard form of this line:

[tex]\displaystyle y= - \frac{1}{5}\, x + \frac{17}{5}[/tex].

[tex]x + 5\, y - 17 = 0[/tex].

Answer:

h = 40w

Step-by-step explanation:

40 per week

hours = 40 x amount of weeks

h = 40w

Answer:

x = 34/21

Step-by-step explanation:

Answer:

x = 34/21

Step-by-step explanation:

3 = 7/2 ( 3 x -4)

We need to perform a multiplication.

The following rule is applied:

In our example, the factors in the new numerator are:

, ,

Notice that all non-fraction factors are placed in the numerator.

The only factor in the new denominator is: 2.

We need to get rid of all the denominators in this equation.

This can be achieved by multiplying both the left and the right side by the Least Common Denominator.

In our example, the LCD is equal to 2.

Answer:

expoential

Step-by-step explanation:

Answer:

It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.

Hope this helps. :)