a. -3/2
b. 0
c. 3/2
d. DNE

Answer:

true

Step-by-step explanation:

[tex]\frac{x}{2} <20[/tex]

* substitute 30 for x *

[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]

we're left with 15 < 20 which is true

9514 1404 393

Answer:

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

  6P +5L = 675

  4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

__

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

  2(6P +5L) -3(4P +3L) = 2(675) -3(425)

  12P +10L -12P -9L = 1350 -1275

  L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

  5(4P +3L) -3(6P +5L) = 5(425) -3(675)

  20P +15L -18P -15L = 2125 -2025

  2P = 100 . . . . simplify

  P = 50 . . . . . . divide by 2

The hourly rates are ...

  $50 per hour for packing

  $75 per hour for loading

Answer:

40 packing and 80 moving

Answer:

lesser x= -10.32

greater x= -3.68

Step-by-step explanation:

[tex] - 7 + \sqrt{11} = - 3.68[/tex]

[tex] - 7 - \sqrt{11} = - 10.32[/tex]

Answer:

Lesser x: -10.31 Greater X:-3.68

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

3 consecutive numbers can be:

[tex]x-1, x, x+1[/tex] ; for example: 1, 2, 3 (1 is 1 less than 2, and 3 is 1 more than 2)

The sum is all of them added, so

[tex]x-1+x+x+1=270; 3x=270; x=90[/tex]

90 is the middle number though, so the first number is 89

Answer:

88, 90, 92

Step-by-step explanation:

I hop this is right can you pls answer this question khan academy.

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6),A(2,−6),A, left parenthesis, 2, comma, minus, 6, right parenthesis, comma B(5, -6)B(5,−6)B, left parenthesis, 5, comma, minus, 6, right parenthesis, C(5, -2)C(5,−2)C, left parenthesis, 5, comma, minus, 2, right parenthesis, and D(2, -2)D(2,−2)D, left parenthesis, 2, comma, minus, 2, right parenthesis.

What is the perimeter of rectangle ABCDABCDA, B, C, D?

units

Thank you

Answer:

B

Step-by-step explanation:

Given:

Principal = R573.00

Rate of interest = 9.3% annually

Time = 15 years.

To find:

The amount after 15 years.

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of time interest compounded in an year and t be the number of years.

The interest is compounded annually, so n=1.

Putting [tex]P=573,r=0.093,n=1,t=15[/tex] in the above formula, we get

[tex]A=573\left(1+\dfrac{0.093}{1}\right)^{1(15)}[/tex]

[tex]A=573\left(1+0.093\right)^{15}[/tex]

[tex]A=573\left(1.093\right)^{15}[/tex]

[tex]A=2174.98893[/tex]

[tex]A\approx 2174.99[/tex]

Therefore, the amount in the account after 15 years is about  R2174.99.

Answer:

30°

Step-by-step explanation:

4x-12 = 108

4x = 120

x=30

4(30)-12 = 108 (Just to check)

120-12 =108

108=108

its CL i think im very sorry if im wrong

Answer: 1.68

Step-by-step explanation:

A pex

Answer:

Area of three triangles = 36 square units

Area of the composite figure = 60 square units

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]

                        = 12 square units

Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]

                        = 12 square units

Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]

                       = 12 square units

Area of rectangle ACEG = Length × Width

                                        = AC × CE

                                        = 6 × 4

                                        = 24 square units

Area of three triangles = 12 + 12 + 12

                                      = 36 square units

Area of the composite figure = Area of three triangles + Area of the rectangle

= 36 + 24

= 60 square units

Answer:

The total area of the three triangles is 36 square units.

The area of the figure is 60 square units.

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Before _After_ diff ___rank

72 ______ 59 __13 __ 2

74 _______ 72 _ 2 __ 7

62 _____ 89 __ - 27 _ 1

74 _______ 67 __ 7 __4

78 ______ 81 __ - 3 __ 6

88 ______ 92 __ - 4 __5

71 _______ 81 __ - 10 __3

Ranking the data:

27, 13, 10, 7, 4, 3, 2

Observation 5 :

Before = 78 ; After = 81

Difference ; 78 - 81 - 3

Observation 5 = Rank 6

Ranks with negative difference, T = 6 + 5 + 3 + 1 = 12

Ranks with negative difference T+ = (2 + 7 + 4) = 13

Answer:

35 square units

Step-by-step explanation:

take the amount of each side and multiply. so it would be 5 times 7. that gives you the total area.

Answer:

Your answer is 35!

Step-by-step explanation:

You just count the squares along the sides of the rectangle. Since you need length and width to find area, you count the bottom side and one of the sides. Then multiply! Or just count the squares inside the rectangle :)

Answer:

55

Step-by-step explanation:

Answer:

3.2 hours

Step-by-step explanation:

48x4=192

192 divided by 60 is 3.2

Answer:

3 hours and 12 minutes

Step-by-step explanation:

there are 15 sets of 4 in one hour, so 15 plus 15 equals 2 hours or 30 braids. Then you add one more hour and you get 45 braids and then for the last three braids its 12 minutes

if you want to thank me add me on insta at 904_donke

Answer:

D. y=2x(4×2)

Step-by-step explanation:

y=8 and x=4 and they are asking about the books that Maggie read how they the books re equal to the ones Rahul read. so y will be equal to x times 2 which is also x+x.

Hope I helped!

Answer: [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

Since x is 3 and y is -5

Answer:

d

Step-by-step explanation:

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex](a,b) = (2,4)[/tex]

So, we have:

[tex]Rate = \frac{f(4) - f(2)}{4 - 2}[/tex]

[tex]Rate = \frac{f(4) - f(2)}{2}[/tex]

Using the attached graph, we have:

[tex]f(2) = 4[/tex]

[tex]f(4) = 16[/tex]

So, we have:

[tex]Rate = \frac{16- 4}{2}[/tex]

[tex]Rate = \frac{12}{2}[/tex]

[tex]Rate = 6[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The marked angles share a vertex and are formed from opposite rays. They do not share a side, so are not adjacent angles. The angles are vertical angles.

As such, they are congruent, so x = 87°.

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

Answer:

x is 5

Step-by-step explanation:

Answer:

First option is correct

Answer:

3,000,000

Step-by-step explanation:

Answer:

Shipping Fee = $ 6

Step-by-step explanation:

The complete question and the table is as follows :

Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.

To find - How much is the shipping fee?

Proof -

We know that,

Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee

Let us Assume that,

Cost of 1 book = x

Shipping Fee = y

So,

From the table, we get

21 = 5x + y               ..........(1)

36 = 10x + y              ..........(2)

51 = 15x + y               ..........(3)

66 = 20x + y             ..........(4)

From equation (1), we get

y = 21 - 5x

Put the value of y in equation (2), we get

36 = 10x + 21 - 5x

⇒36 = 5x + 21

⇒5x = 36 - 21

⇒5x = 15

⇒x = [tex]\frac{15}{5}[/tex] = 3

∴ we get

x = 3

Put the value of x , we get

y = 21 - 5(3)

  = 21 - 15

  = 6

⇒y = 6

SO, we get

x = 3

y = 6

Verify the 4 Equations :

21 = 5x + y               ..........(1)

21 = 5(3) + 6

    = 15 + 6

    = 21

⇒21 = 21

Verified

36 = 10x + y              ..........(2)

36 = 10(3) + 6

     = 30 + 6

     = 36

⇒36 = 36

Verified

51 = 15x + y               ..........(3)

51 = 15(3) + 6

    = 45 + 6

    = 51

⇒51 = 51

Verified

66 = 20x + y             ..........(4)

66 = 20(3) + 6

     = 60 + 6

     = 66

⇒66 = 66

Verified

So, we get

Cost of 1 book = x = $ 3

Shipping Fee = y = $ 6

Answer:

f(x)=x5-x4+9

if x=2,. f(2)= 2⁵-2⁴+9

=32-16+9

=16+9

f(2) =25

Answer:

Step-by-step explanation:

As,

[tex] {(ax)}^{2} = a \times a \times x \times x[/tex]

Hence,

[tex] {(2x)}^{2} [/tex]

= 2×2×x×x

[tex] = 4 {x}^{2} (ans)(without \: brackets)[/tex]

Answer:

12.7

Step-by-step explanation:

Mean is total/the amount of numbers

Total: 11+14+11+5+17+28+3=89

Amount: 7

89/7=12.7142857

Answer:

12.7

Step-by-step explanation:

Mean = sum/count

Sum = 89

Count = 7

mean = 89/7

mean = 12.7142857143

Rounded

12.7

Answer:

[tex] \large \sf \blue{Find \: the \: H.C.F \: of : }[/tex]

[tex] \sf \purple{➪ \: 84 \: and \: 156}[/tex]

Answer:

72

Step-by-step explanation:

Answer:

4892 or 2446

Step-by-step explanation:

Answer:

- sqaure root 7-3, sqaure root 7-3

Step-by-step explanation:

See Image below:)