applications of rational numbers​

Answer:

x=0

Step-by-step explanation:

- 7(x + 4) - 4= - 32

Add 4 to each side

- 7(x + 4) - 4+4= - 32+4

- 7(x + 4) = - 28

Divide by -7

- 7(x + 4) /-7= - 28/-7

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Answer:

3 (3a-6b+7c)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest common factor is 3.

9/3 = 3

18/3 =6

21/3 = 7

The literals have no common factors that we know of.

Answer: 3(3a - 6b + 7c)

Answer:

B

Step-by-step explanation:

z^2 - 6z - 27 = 0

(z - 9)(z+3) = 0

z - 9 = 0 z + 3 = 0

z = -3, 9

Explanation:

The gradient is the same as the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (6-1)/(6 - (-4))

m = (6-1)/(6+4)

m = 5/10

m = 1/2

In decimal form, this becomes 0.5

A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.

A positive slope goes uphill as we move to the right (due to the positive rise value).

Answer:

One way to find the gradient is using the expression :

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]

So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]

Answer:

=2^5+5^5

=32+3125

=3157

Answer:

0.5 is the answer of this question

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Answer:

+ 2 is a value for "C"

if the general form is ax^2 + bx +c and you want the A to be a positive integer...

then the c value would be -8

3x^2 - 8 = 0

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

16x10=160

Answer:

The most basic fact about triangles is that all the angles add up to a total of 180 degrees. The angle between the sides can be anything from greater than 0 to less than 180 degrees. The angles can't be 0 or 180 degrees, because the triangles would become straight lines.

Step-by-step explanation:

basic only

Answer:

m=5/3

Step-by-step explanation:

Answer:

5/3 or 1 2/3

Step-by-step explanation:

First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2

Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.

Lastly, you divide by 3 to isolate the variable m.

And you get 5/3, which also equals 1 2/3

Area of wall = l×b

Length = 5m

Breadth = 20m

Area = 5×20

=100m²

Area of flex = side×side

= 2×2

= 4m²

Now no of flex that can be fitted = 100/4

= 25 flex

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Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

[tex]{ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}[/tex]

substitute:

[tex]{ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

The length of a rectangle if the length is I = 2w + 1.

A Rectangle is a 4 sided-polygon, having all the inner angles identical to 90 ranges. the 2 aspects at each corner or vertex, meet at right angles. the alternative sides of the rectangle are identical in length which makes it specific from a square.

The area of the rectangle is = length * breath

The perimeter of the rectangle = 2(L*B)

Learn more about rectangles here:-https://brainly.com/question/25292087

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Answer:

Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base

Answer:

The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

9514 1404 393

Answer:

  a) q = 15 at minimum average cost; q = 10 at minimum marginal cost

  b) marginal cost = average cost = 225 at q = 15

Explanation:

The average cost is the total cost divided by the number of units.

  A = C/q = 300 -10q +1/3q^2

The marginal cost is the derivative of the total cost.

  M = 300 -20q +q^2

__

a) The minimum average cost is where its derivative is zero.

  A' = 0 = -10 +2/3q   ⇒   q = 15

The minimum marginal cost is where its derivative is zero.

  M' = -20 +2q   ⇒   q = 10

__

b) The average cost for 15 units produced is ...

  A(15) = 300 -10(15) +1/3(15^2) = 225

The marginal cost at that same production level is ...

  M(15) = 300 -20(15) +15^2 = 225

The average cost and marginal cost are equal at the minimum average cost.

Answer:

When you divide, the answer is the quotient.

Step-by-step explanation:

For example:

6/3 = 2

The quotient is 2

Answer:

Step-by-step explanation:

a) 4/9*x^4

b) 2/y

Answer:

2,438

Step-by-step explanation:

    53

    46

______

     318

   212

_______

   2438

6 times 3 is 18. Put the 8 in the ones place and carry the 1 ~ 6 times 5 is 30. Add the carried 1 and you have 31. Put that next to the 8. ~ 4 times 3 is 12. put the 2 under the 1 in 318 and carry the 1. ~ 4 times 5 is 20. Add the carried 1 and you have 21. ~ Put that next to the 2. Now add 318 to 2120 and you have the answer of 12438.

Answer:

x=7

y=-1

Step-by-step explanation:

x=-9y-2--------(1)

4x-3y=31

4x=31+3y

x=31/4+3/4y-------(2)

x=-9y-2=31/4+3/4y  

   -9y-3/4y=31/4+2

   -39/4y=39/4

            y=-1

substitute in 1

(-9*(-1))-2=x

x=7

Answer:

128

Step-by-step explanation:

20% of 64

= 0.2 × 64 = 12.8

10% = 12.8 , then

100% = 12.8 × 10 = 128

Answer:

The number is 128

Step-by-step explanation:

Let the number be represented by X

Therefore

20/100*64=10/100*X

---10X=1280

Now dividing both sides of the equation by 10 it will be

=10X/10=1280/10 which is

---X=128

Therefore the number is 128

Answer:

PR is the diameter of the circle

Answer:

Step-by-step explanation:

Diameter: connecting 2 points on a circle passing through the center.

OAmalOHopeO

Answer:

y=-x/2-1

Step-by-step explanation:

The slope of the line is y=-1/2. Using the slope intercept form, we have y+1=(-1/2)x, y=-x/2-1

Answer:

21

Step-by-step explanation:

it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21

Have a good day and I'll hope you get to good score for this homework

Answer:

-3

Step-by-step explanation:

-8 - x =-5

Answer:

D

Step-by-step explanation:

The sides of a rhombus are congruent , then

13b - 9 = 3b + 4 ( subtract 3b from both sides )

10b - 9 = 4 ( add 9 to both sides )

10b = 13 ( divide both sides by 10 )

b = 1.3

The diagonals are perpendicular bisectors of each other , then

14a + 20 = 90 ( subtract 20 from both sides )

14a = 70 ( divide both sides by 14 )

a = 5

Thus c = a + b = 5 + 1.3 = 6.3 → D

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sec² θ (1 + sin θ) (1 - sinθ ) = k

sec² θ(1-sin²θ ) = k

sec² θ cos² θ = k

sec² θ. 1 /sec²θ = k

1 = k

.. k = 1.

[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]

[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]

[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]

[tex]\\ \sf\longmapsto b=2Y-2t[/tex]

Answer:

x=12

Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that [tex]C^2=a^2+b^2[/tex] where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, [tex]b=\sqrt{13^2-5^2}[/tex]. Next, solve what is under the root to get, [tex]b=\sqrt{144}[/tex]. Finally, square root 144 for the final answer b=12.

Answer:

x = 12

Step-by-step explanation:

c² = a² + b²

13² = 5² + b²

169 = 25 + b²

b² = 169 - 25

b² = 144

b = 12

Answer:

don't know

Step-by-step explanation: