5.)(2x + 8) - (4y + 1)
6.)-5x * (3x^2 - 2x - 1)

Answer:

$ 63

Step-by-step explanation:

Let the new price ( price after the discount ) be x.

Old price                    Discount                     New price

 100                              30                                  70

  90                               30                                   x

Now we can make an expression like this to solve this

100  ⇒  70

90  ⇒ x

Use cross multiplication to solve for x.

100x = 70 × 90

100x = 6300

Divide both sides by 100.

x = $ 63

Answer:

Discount: $27.00

Final Price: $63.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 90 × 30/100

Discount = 90 x 0.3

You save = $27.00

Final Price = Original Price - Discount

Final Price = 90 - 27

Final Price = $63.00

Answer:

The difference between the Ranges in the dot plots is 2.

I've included a figure with the two-dot plots explained for easier comprehension.

The value on the far left of the numbered line that contains at least one point is the minimum value for students in Class A, and the maximum value is three (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 3 - 0 = 3

The value to the far left of the numbered line that has at least one point is the minimum value for students in Class B, and the maximum value is 5. (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 5 - 0 = 5

The dot plots' range differences are 5 - 3 = 2, which is a difference of two.

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Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

Answer and Step-by-step explanation:

There is a cube with side length 3. The volume of this cube is 27.

An equation is formed of two equal expressions. The number of cakes that are made by Sam this week is $10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Sam gets paid $20 a week in addition to $4 for every cake she bakes. Let y be the total amount that is made by Sam this week, while x represents the number of cakes she bakes. Therefore, the equation for the total amount made by sam in a week can be written as,

y = 20 + 4x

Since her total income for this week is $60, therefore, we can write,

60 = 20 + 4x

40 = 4x

x = 10

Hence, the number of cakes that are made by Sam this week is $10.

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Answer:

(a) DE = 7.5 cm

(b) Area of ΔABE = 9.33 cm2

Step-by-step explanation:

(a)   [tex]\frac{AE}{DE} =\frac{BE}{CE}[/tex]

     [tex]\frac{5}{DE} =\frac{4}{6}[/tex]

    [tex]DE=\frac{(5)(6)}{4} =\frac{30}{4} =7.5[/tex]

(b) measurements of similar triangles have a ratio of 2/3

The ratio between areas is

[tex](\frac{2}{3} )^{2} =\frac{4}{9}[/tex]

If the area of ΔCDE = 21

Then the área of ΔABE is:

[tex]21(\frac{4}{9})=\frac{(21)(4)}{9} =\frac{84}{9} =9.33[/tex]

Hope this helps

Negative

Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then

We have the line y = -x + 5 ⇒ a₁ = -1.

Therefore

a₂ · (-1) = -1

-a₂ = -1     Ichange the signs

Answer:

18

Step-by-step explanation:

The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18

The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.

The solution of the equation means the value of the unknown or variable.

When you multiply a number by 12 and subtract the product from 360, the difference is 216.

Let the number be a.

Then we have the equation

12a – 360 = 216

By solving the equation, we have

12a = 216 + 360

12a = 576

   a = 576/12

   a = 48

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Answer:

2/3 + 9.26 is rational

:)

Answer: 140

Step-by-step explanation:

A parallelogram means the sides are parallel, so PQM would have the same angle as MNP since they are opposite, just like NPQ and QMN.

Answer: 140°

Detailed Explanation with Figure:

In a Parallelogram, the Opposite Angles are Equal. Therefore, ∠PQM = ∠MNP, which is equal to 140°.

Here’s the Figure :-

More plainly, the sequence is defined recursively by

[tex]a_{n+1} = \begin{cases} 3a_n - 9 & \text{if } a_n \text{ is odd} \\ 2a_n - 7 & \text{if } a_n \text{ is even} \end{cases}[/tex]

and some starting value [tex]a_1[/tex].

We're given that the sequence alternates between two constants, [tex]a[/tex] and [tex]b[/tex], so that [tex]a_1 = a[/tex].

• If [tex]a[/tex] is even, then the second term [tex]b[/tex] must be odd, since

[tex]a_2 = 2a_1 - 7[/tex]

by the given rule, and 2×(even) - (odd) = (odd). So

[tex]a_2 = 2a-7 = b[/tex]

In turn, the third term is even, since we jump back to [tex]a[/tex]. From the given rule,

[tex]a_3 = 3a_2 - 9[/tex]

and so

[tex]3b-9 = 3(2a-7)-9 = a \implies 6a-30=a \implies 5a=30 \implies a=6[/tex]

[tex]3b-9 = 6 \implies 3b = 15 \implies b = 5[/tex]

Then the sum of the two integers is [tex]a+b=\boxed{11}[/tex]

• You end up with the same answer in the case of odd [tex]a[/tex], so I'll omit this part of the solution. (It's almost identical as the even case.)

Answer:

wait lang yong tppp heheehhehe

Answer:

b is the awancer yw

Step-by-step explanation:

Answer:

×=20

Step-by-step explanation:

180-110=70

70+70=140

180-140=40

40÷2=20

Answer:

x = 20°

Step-by-step explanation:

110° and the interior angle of the triangle are a linear pair and sum to 180°

interior angle + 110° = 180° ( subtract 110° from both sides )

interior angle = 70°

the larger triangle is therefore isosceles, 2 base angle are congruent, then

2x = 180° - 140° = 40° ( sum of angles in Δ is 180° )

divide both sides by 2

x = 20°

[tex] \underline{\large \bf{Required \: Answer}} : - [/tex]

[tex] \dashrightarrow \: \red{\large8}[/tex]

[tex] \sf[/tex]

[tex] \underline{ \large{ \rm \pink{SolutioN}}} \: -[/tex]

[tex] \quad \qquad\sf \: {(a + b)}^{2} = 10[/tex]

[tex] \qquad \: \: \to\: \: \sf{a}^{2} + {b}^{2} + 2ab = 10[/tex]

[tex] \qquad\: \: \to\: \: \sf{a}^{2} + {b}^{2} + 2(1) = 10[/tex]

[tex] \qquad\: \: \to\: \: \sf \: {a}^{2} + {b}^{2} = 10 - 2[/tex]

[tex] \qquad\: \:\bf \to\: \: \: {a}^{2} + {b}^{2} = 8[/tex]

[tex] \sf[/tex]

[tex] \sf \therefore \: 8 \: \: is \: \: the \: \: required \: \: answer[/tex]

[tex] \rule{200pt}{2pt}[/tex]

Welming's spending is $1164.8 and his savings is $291.2

The given parameters are:

Weekly pocket = $28

Save = 20%

There are 52 weeks in a year.

So, the yearly pocket is:

Yearly pocket = $28 * 52

Evaluate

Yearly pocket = $1456

He saves 20%.

So, we have:

Savings = 20% * $1456

Evaluate

Savings = $291.2

His spending is then calculated as:

Spending = $1456 - $291.2

Evaluate

Spending = $1164.8

Hence, Welming's spending is $1164.8 and his savings is $291.2

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Answer:

B and C are the answers.

Step-by-step explanation:

3b+b = 4b because the value of B or any variable is 1 so 3 +1 is four and 4b is our answer.

2(2b) the brackets tell the number before brackets should be multiplied and 2 × 2 is 4 so the answer is 4b

Answer:

This answer assumes that the first equation is meant to read:

2x + y +3z = 12, and not

1.22x+y+3:= 12

Spoiler Alert:  x = 1, y=4, and z=2

Step-by-step explanation:

1.    2x + y +3z = 12

2.     x - 2y + z = -5

3.    5x - y+ 2z = 5

==============

Use equations 2 and 3 to eliminate z:

2.  x - 2y + z= -5

3.  5x - y+ 2z = 5

-2(x - 2y + z) = -2(-5)   [Multiply equation 2 by -2]

             5x -   y+  2z =  5

Now subtract this new equation from equation 3:

-2x + 4y - 2z = 10  (Eq 3)

 5x -   y+  2z =  5   [

 3x +3y = 15   [Equation A]

=================

Use equations 1 and 2 to eliminate z:

   2x +  y +3z = 12   (Eq. 1)

      x - 2y +  z = -5   (Eq. 2)

   2x +  y +3z = 12

(-3)(x - 2y +  z = -5)  [Multiply Eq. 2 by (-3)]

    -3x + 6y -3z = 15

Now add the resulting two equations.

   2x +   y + 3z = 12     (Eq. 1)

  -3x + 6y -3z =  15       (Eq,2 times -3)

   -x   +7y         = 27    [Equation B]

=============

  Eliminate x with the 2 resulting equations (from above)

  3x +3y = 15  [Equation A]

   -x +7y = 27  [Equation B]

----

   3x +3y = 15

   3*(-x +7y = 27)  [Multiply the Equation B by 3]

  -3x +21y = 81     [Aha - this equation has a -3x term, exactly what we need to eliminate the x term in Equation A]

---

Now add the two resulting equations:

    3x +3y = 15

   -3x +21y = 81

            24y = 96  [The x term disappears.  But we'll "find x" later]

                 y = 4   [Divide both sides by 24]

Find y and z:

Since y = 4,

-x  +7y   = 27 (From above, Equation B]

-x = -7y + 27

 x = 7y - 27

x = 7(4)-27

 x = 1                  [Looking good]

=====

Find z:  (Use y = 4 and x = 1)

x - 2y + z = -5  [Equation 2]

(1) -2*(4) + z = -5

1 - 8 + z = -5

z = 2

Check:

Do the original equations work when x = 1, y = 4, and z = 2?

Results:  

1.    2x + y +3z = 12      

     (1) + (4) +3(2)    YES, this equals 12

2.     x - 2y + z = -5  

       (1)  -2*(4) + (2)   YES, this equals -5

3.    5x - y+ 2z = 5

       5(1) - (4) + 2(2)   YES, this equals 5

x = 1, y=4, and z=2

Answer:

C: 3/5.79=13/x

Step-by-step explanation:

Two ratios are said to be in proportion when the two ratios are equal

3 markers cost $5.79 in which the proportion price is unknown

13 markers cost x

markers / cost = markers / cost

3 / $5.79 = 13 / x

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The  total distance it flies, rounded to the nearest mile is: d. 1,692 miles .

First distance= 550 miles (given)

Second distance=483 miles (given)

Now let find the third distance

Let x represent the third distance

Hence:

x/sin79 = 550/sin55

x= 659.1

Now let calculate the total distance

Total distance=550+483+659.1

Total distance= 1692.1

Total distance= 1692 miles (rounded)

Therefore the correct option is d.

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Answer:

n=-0.769

Step-by-step explanation:

Since there is no number after the equal sign in the equation given, we can put a zero in that place.

117n+90=0

Subtract 90 from both sides.

117n=-90

Divide 117 and -90

n=-0.769

Hope this helps!

If not, I am sorry.

Answer:

Given - Length is nine feet more

Area is 252

To find - Value of length and width

Solution-

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

Answer:

8. 14

9. 14π

10. 49π

11. 1.75π

12. [tex]\frac{49}{12}[/tex] π

Step-by-step explanation:

If the radius is 7, the diameter is 14.

Circumference is pi * diameter, so 14π

Area is π r², so 49π

Arc length is [tex]\frac{n}{360}[/tex] * 2πr, so [tex]\frac{45}{360}[/tex] * 14π = 1.75π

Sector Area is [tex]\frac{n}{360}[/tex] * πr², so [tex]\frac{30}{360}[/tex] * 49π = [tex]\frac{49}{12}[/tex]π

Answer:

35$

Step-by-step explanation:

You multiply $2 x 10 = 20$ then add 15$ + 20$ = 35$

Answer:

is A

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

Answer:

The first choice on edge / A

Step-by-step explanation:

don't come at me if its wrong

The cost of book case be $ 11.6.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

                                       Ax + B = 0.

Here, let the cost of book case be $ x

       and the cost of pencil case be $ y

Now, Helen purchased 3 books and 2 pencils in $ 74.

         3x + 2y = 74    .......(i)

Cost of pencil case $ 8 less than the book.

          y - 8 = x      ............(ii)

put the value of x in equation (i), we get

    3(y - 8) + 2y = 74

    3y - 24 + 2y = 74

    5y = 74 + 24

     5y = 98

      y = 98/5

      y = $ 19.6

put the value of y in equation (ii), we get

   x = y -8

   x = 19.6 - 8

   x = $ 11.6

Thus, the cost of book case be $ 11.6.

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None of the equations are parallel or perpendicular to the line jk.

The equation of a line can be interpreted as follows:

y = mx + b

where

Therefore,

Parallel lines have the same slope(m).

Perpendicular line follows the principle below:

Therefore, let's find equation of jk

(-5, 5)(1, -5)

m = -5 - 5 / 1 + 5 = -10 / 6 = - 5 / 3

using (1, -5)

-5 = - 5 / 3 (1) + b

b = -5 + 5 / 3 = -15 + 5 / 3 = -10 / 3

Therefore,

y = -5 / 3 x - 10 / 3

m = - 5 / 3

6x + 10y = 11

10y = -6x + 11

y = - 6 / 10 x + 11 / 10

y = - 3 / 5 x + 11 / 10

hence, m = - 3 / 5

5x - 3y = 8

3y = 5x - 8

y = 5 / 3 x - 8/3

m = 5 / 3

The equation

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