What word describes the slopes of the line

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

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

Answer:

71°

Step-by-step explanation:

ABD is alternate to DEB. Therefore ADB = DEB = 71°

The required size of angle ABD is 71.

The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.

Now it is given that,

angle DEB = 71

Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.

Now, AC is the tangent of the circle that passes through point B.

The tangent makes an angle ABD with the chord BD.

Now, given that ∠DEB = 71 in the alternate segment.

Now, we have to prove that ∠ABD = 71.

Thus, OD =OB (Both are the radii of the circle)

Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)

Since, OBD is an isosceles triangle

∠BOD = 180° – ∠ODB – ∠OBD

∠BOD = 180° – 2∠OBD …(1)

Since, the line segment AC is the tangent line,

∠OBA = 90°

Therefore, ∠OBA = 90° – ∠OBD …(2)

From the equations (1) and (2), we can write

∠AOB = 2∠DEB

We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.

∠BOD = 2∠DEB

∠DEB = (½)∠BOD

Now, substitute ∠BOD = 2∠DEB  in the above equation, we get

∠DEB = (½)2∠DEB

∠DEB = ∠DEB

⇒ ∠DEB =71

Thus, the required size of angle ABD is 71.

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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

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]

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Answer:

All of them but the biggest is soccer pitch

Step-by-step explanation:

Volume is how much something takes up of space.

Answer:

7

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

False

Step-by-step explanation:

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

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

Answer:

He will have to pay 30$

Step-by-step explanation:

Answer:

Total Area = 26.75

Step-by-step explanation:

Remark

The hardest triangle to see is the top one. So we'll start with it.

It has a vertical leg of 3.5 and a horizontal one of 2 + 2 + 5 = 9

Top Triangle Area

Area = 1/2 base * height

Area = 1/2 * 9 * 3.5

Area = 15.75

Triangle on the lower left

Area = 1/2 * 2 * 2

Area = 2

Square on lower middle

Area = 2*2

Area = 4

Triangle on lower right area

Area = 1/2 * 2 * 5

Area = 5

Total Area

Total Area = 5 + 4 + 2 + 15.75

Total Area = 26.75

Answer:

Step-by-step explanation:

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

Answer:

m = 12

Step-by-step explanation:

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

so, 8m = 96

then m = 12

Answer:

x 5/4 y 10/3 over 2

Step-by-step explanation:

Answer:

B also the full name of vertically angles is called the vertically opposite angle theorem or voat

Answer:

there are 8 boys and 16 girls

hope this helped :-)

Step-by-step explanation:

24:4=6

6+2=8

8+8=16

8:2=4

8+8+4+4=24

4+4=8

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

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:

Yes it can have the lengths 1, 5 and 5

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:

4 quizzes are taken per week

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.

Answer:

a)

b) 99

Step-by-step explanation:

i'm not sure about a

but for b i got 99 members

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:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Answer:Yes

Step-by-step explanation:

1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

2) Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

For given question,

We have been given an inequality 25W + 40J < 120

W represent the number of liters of water and J represent the number of liters of juice.

Mwamini drinks water at a rate of 25 seconds per liter.

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

If Mwamini drinks 2 liters of water and 1 liter of juice.

Here, W = 2 lit and J = 1 lit

So, ⇒ 25W + 40J

     = 25(2) + 40(1)

     = 50 + 40

     = 90

      < 120

This means, Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

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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

Step-by-step explanation:

the exterior angle is equal to the sum of the interior angles on the opposite side.

As in angle BCD = angle BAC + angle ABC

113 = 72+angle ABC

angle ABC = 41

Answer:

180-113 to find the linear angle.

add that result with 72.

once found the sum, use 180 to subtract the sum to get angle B.

Answer:

a. (0,3)

b. (-4,-3)

c. (-2,0)

d. (-1 1/3, 1)

e. (4,9)

f. (-3 1/3, -2)

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

the co ordinate of f(-5) is -7