What is the scale factor used for the dilation?
A.1/6
B.1/3
C.3
D.6

Answer:

The total cost will be equal to 25.6£

Step-by-step explanation:

In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....

Let "a" be the cost of the adult ticket after using the railcard

Let "b" be the cost of the children ticket after using the railcard.

a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£

b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£

Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....

Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£

Answer:

Option (E)

Step-by-step explanation:

[tex]\frac{a}{b}=\frac{c}{d}=k[/tex]

[tex]\frac{a}{b}=k[/tex]

[tex]b=\frac{a}{k}[/tex] ------(1)

[tex]\frac{c}{d}=k[/tex]

[tex]d=\frac{c}{k}[/tex] -------(2)

Since, [tex]\frac{6a+24}{md+6b}=k[/tex]

By substituting the values of b and d from equation (1) and (2),

[tex]\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k[/tex]

[tex]\frac{k(6a+24)}{6a+mc}=k[/tex]

[tex]\frac{6a+24}{6a+mc}=1[/tex]

6a + 24 = 6a + mc

mc = 24

m = [tex]\frac{24}{c}[/tex]

Therefore, Option (E) will be the correct option.

Answer:

18-x

18/2=6

18-5=13

Answer:

Yes it is

Step-by-step explanation:

The equation is proportional since as the value of x is increasing, y is also increasing

Equations can either be direct, inverse, or even joint. For instance, if y is directly proportional to x, this is expressed as:

y = kx

k is the variation constant

For a proportional equation, there an increase in a variable will lead to a decrease or increase in other variables

Given the expression y = 9x + 1/2,

when x = 1

y = 9(1) + 1/2

y = 9.5

when x = 2

y = 9(2) + 1/2

y = 18.5

We can see that the equation is proportional since as the value of x is increasing, y is also increasing

Learn more here: https://brainly.com/question/21284698

Understanding:

[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).

[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]

Now, we can rewrite the equation as follows

[tex]y=-45x+1080[/tex]

[Q5] To find the y-intercept we simply replace every x value with a 0,

[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]

This means the y-intercept is at [tex](0,1080)[/tex].

For the x-intercept, you replace the y value with a 0 and solve for x,

[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]

This means the x-intercept is at [tex](24,0)[/tex].

Solutions:

[Q4] [tex]y=-45x+1080[/tex]

[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]

[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.

Answer:

d) No, it is not a proportional relationship because the graph does not go through the origin

Step-by-step explanation:

A proportional relationship has to pass through the origin (0,0)

9514 1404 393

Answer:

  16

Step-by-step explanation:

Usually, a question like this is answered by subtracting the smaller number from the larger:

  11 -(-5) = 11 +5 = 16

The difference in their scores is 16 strokes.

Answer:

i. y = 3(x)

ii. This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Step-by-step explanation:

Let assume that the horizontal surface of the earth is taken to be zero. Thus any distance moved upward is positive, and any distance moved downward is negative. As compared to a number line.

Thus, after 3 days, the equation for each hiker is;

y = 3(x)

Where y is the total distance covered after 3 days, and x is the elevation of the hiker per day.

For Hiker 1, the elevation was upwards;

y = 3(500)

 = 1500 m

For Hiker 2, the elevation was downwards;

y = 3(-500)

  = -1500 m

This implies that: hiker 1 has an altitude of 1500 m, while hiker 2 has a depth of 1500 m with respect to the surface of the earth after the 3 days.

Answer: B.

Step-by-step explanation: (0, 2), (2, 0), and (1, -1) are the correct coordinates of the three vertices of the triangle.

so you do 5 1/4 minus 3/4 and then you get your awnser

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Hey mate 4 is your Answer

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Answer:

4 friends

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

Answer:

Take an old ice cream pail and mix equal parts to find your color. For example, one part red, three parts white to make pink. Then you will know approximately how much paint to mix into your existing

Step-by-step explanation:

Answer:

The absolute value of -4.5 is 4.5 so plot the point at 4.5

Step-by-step explanation:

absolute value= how far that number is from zero

-4.5 is 4.5 away from zero

so the absolute value of -4.5 is 4.5

Answer:

4.5

Step-by-step explanation:

I hope yout have a good day.

Answer:

7.436 rounded to 7.44 hope this helps!

Step-by-step explanation:

7.7 + 6 2/3= 7.436

Answer:

-140

Step-by-step explanation:

Answer:

y=6

Step-by-step explanation:

2y = 15 - 3

2y = 12

y = 6

I hope this helps

Answer: 0.3

Step-by-step explanation: Because thats the answer

Answer:

0.3

Step-by-step explanation:

This is because, when you divide 3/9 it gives you 0.33333.. (Repeating, Irrational number) So you would round to the nearest tenths, which would give you 0.3 because the hundredths place isn't 5 or over. Hope this helps :)

Answer:

21

Step-by-step explanation:

Answer:

its 32

Step-by-step explanation:

no im jk its 81

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

Answer:

$5

Step-by-step explanation:

Answer:

y=10

Step-by-step explanation:

If u need work just ask me in the comments!

Answer:

The highest point of y is 16, so the absolute maximum is y=16.

Answer:

sir the picture is black

Step-by-step explanation:

Answer:

About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles

Step-by-step explanation:

Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.

Answer:

55 miles

Step-by-step explanation:

Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.

Answer:

ones

Step-by-step explanation:

It is given that Jim wants to divide 762 coupons equally among 9 stores.

So dividing 762 by 9, we get

[tex]$=\frac{762}{9}$[/tex]

= 84.66

The position of the digit before the decimal place start with 'ones' and then proceeds to tens, hundreds, thousands, etc.

Therefore, the first digit of the quotient is in the ones place of the position value or place value.

Answer:

a = 4

Step-by-step explanation:

Let the number be a.

2× a = 8 ...(1)

We need to find the value of a such that th above equation is true.

Divide both sides of equation (1) by 2 .

a = 8/2

a = 4

Hence, if the value of a is 4 the equation will become true.

Answer:

b // f

c // e

Step-by-step explanation:

b // f

89.5 = 180 - 90.5

89.5 = 89.5       {corresponding angles are congruent.So b // f}

c//e

91.5 = 180 - 88.5

91.5 = 91.5    {corresponding angles are congruent.So b // f}