Since starting a new recycling plan, Aaron's office recycles 7 kilograms of paper each week,
How many weeks will it take Aaron's office to recycle a total of 28 kilograms of paper?

Answer:

3(4)+2= 14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2

Answer:

FE

Step-by-step explanation:

i hope you help this answer

For the two similar figures, the expression can be written as:

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

In geometry, similarity refers to the property of two figures that have the same shape but possibly different sizes. Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are proportional.

For example, two triangles are similar if they have the same shape but can be different in size. This means that the corresponding angles of the two triangles are equal and the corresponding sides are in proportion.

The symbol used to denote similarity is "~". For example, if triangle ABC is similar to triangle DEF, we write it as:

ABCDE~GHJDF are similar. So the ratios of the sides of the figure can be written as,

[tex]\dfrac{GH}{AB} = \dfrac{JD}{CD}[/tex]

To know more about similarity follow

https://brainly.com/question/30068992

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Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

Answer:

80˚

Step-by-step explanation:

Since the angles are equal, we can make this equation:

2x + 65 = 8x + 5

60 = 6x

x = 10

so if we put x = 10 in 8x + 5 we get

8x + 5

8(10) + 5

80 + 5

85

Answer:

f(15,055) is the number of pages in a book with 15,055 words.

Step-by-step explanation:

f(w) = length of book (in pages).

w = number of words

Thus, from the options given, the only true statement about the function is that:

f(15,055) = number of pages of a book that has 15,055 words.

"f(15,055)" is the length of a book consisting of 15,055 words. It does not imply that there are 15,055 pages.

least common multiple of 6,3,2 is 6.

- 6 is the smallest number that is divisible by all three.

Answer:

.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]

2) (3 , -4) ; m= 3

[tex]y - y_{1} = m(x - x_{1}[/tex])

y - [-4] = 3(x - 3)

y + 4 = 3x - 3*3

y + 4 = 3x  - 9

     y = 3x - 9 - 4

Ans: y = 3x - 13

3) m = 2 ; y-intercept (b) = 3/2

     y = mx + b

  Ans: y = 2x + (3/2)

4) (-1, 3 ) ;  (2 , 0)

Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]

         [tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]

m = 1; ( -1 , 3)

y - 3 = 1(x -[-1])

y - 3 = 1(x + 1)

y - 3 = x + 1

    y = x + 1 + 3

  Ans: y = x + 4

5)(2, 1) ;m = -3

y - 1 = (-3)(x - 2)

y - 1 = -3x + 6

   y = -3x + 6 +1

Ans: y = -3x + 7

Step-by-step explanation:

1) (-6 , 2) ; (3 , -5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

x

2

−x

1

y

2

−y

1

\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}

=

3−[−6]

−5−2

=

3+6

−5−2

=

9

−7

m = -7/9 ; (-6 , 2)

y - y₁ = m(x -x₁)

y - 2 = (-7/9)(x - [-6])

Answer:

i believe its 9 too

Step-by-step explanation:

Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

Answer:

3x is greater then 3 because 3x has 3 of x and 3 is plain 3

Answer:

[tex]B = \frac{1}{2}A[/tex]

[tex]A = 2B[/tex]

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

[tex]B = \frac{1}{2} * A[/tex]

[tex]B = \frac{1}{2}A[/tex]

Multiply both sides by 2

[tex]2*B = \frac{1}{2}A*2[/tex]

[tex]2B = A[/tex]

[tex]A = 2B[/tex]

Answer: Kevin will have to pay $30 for the jeans.

Answer:

He will have to pay 30$

Step-by-step explanation:

Answer: I believe the scale is balanced.

Step-by-step explanation: I stated that because since the other side of the scale contained 12 marbles that were 1 pound each that would be 12 pounds and then since 4+8=12 12 pounds of marbles were also put on the other side.

Answer:

False

Step-by-step explanation:

The male's want sports cars more and the female's want SUV's more.

Answer: 1/3x + 1/6

Step-by-step explanation:

The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:

= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3

= 1/3x + 3/4 - 1/4 - 1/3

= 1/3x + 1/2 - 1/3

= 1/3x + 3/6 - 2/6

= 1/3x + 1/6

Answer:

1/3x + 2/4

Step-by-step explanation:

(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

Answer:

Step-by-step explanation:

1) (i) HG ≅ ST ;      GI ≅ TR ;           IH ≅ RS

ΔHGI ≅ ΔSTR     by  S S S congruent

(ii) ∠H ≅ ∠S      ;  HG ≅ ST       ; ∠G ≅ ∠T

ΔHGI ≅ ΔSTR     by A S A -> Angle Side Angle congruent.

3) LM ≅ XY ;          MK ≅ YZ  ;      KL ≅ ZX

ΔLMK ≅ ΔXYZ Side Side Side congruent

∠K ≅ ∠Z  ;    KL ≅ ZX  ;    ∠L ≅ ∠X

ΔLMK ≅ ΔXYZ     by Angle Side Angle congruent

Answer:

Step-by-step explanation:

8,3,4,6,7,2,5,

Answer:

No

Step-by-step explanation:

Number of tickets can only be represented by integer values. A value of 3.5 for t would imply you can purchase three and a half tickets, which isn't possible.

Answer:

-2t-14

Step-by-step explanation:

Answer:

-2t - 14

Step-by-step explanation:

-2(t + 7)

distribute

(-2 * t) + (-2 * 7)

-2t + -2 * 7

-2t - 14

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

Answer:

Follows are the solution to this question.

Step-by-step explanation:

Please find the solution file for the question in the attachment.

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5

Answer:

a)£21.80

b) 3 trips

Step-by-step explanation:

The cost of an adult is $10.

A child’s ticket is $6.

FAMILY DISCOUNT CARD

- 45% off all adults tickets

- Children save 2/5 off of full price tickets

a) How much will it cost to buy 2 adult tickets and children’s tickets?

(a)

Adults: 2 × £10 = £20

(45 ÷ 100) x £20 = £9

£20 - £9 = £11

Children: 3 × £6 = £18

2 /5 of £18 = £7.20

£18 - £7.20 = £10.80

Total: £11 + £10.80 = £21.80

b) The cost of a family discount card is $40 per year. How many times in the same year would 2 adults and 3 children need to go before you start to savemoney on the cost of the card?

(b) Cost without discount = £20 + £18 = £38b)

No card

1 trip

1 × £38 = £38

2 × £38 = £76

3 × £ 38 = £114

With card

£40 + (1 × £21.80) = £61.80

2 trips 2 × £38 = £76 £40 + (2 × £21.80) = £83.60

3 trips 3 x £38 = £114 £40 + (3 × £21.80) = £105.40

3 trips before the discount card starts being cheaper than regular price