Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help

Function

It is a function

Answer:

A translation can map one angle unto another since dilations preserve angle measures of triangles

Step-by-step explanation:

The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same

A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles

A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex

The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate

Answer:

A translation because it can map one angle onto another since dilations preserve angle measures of triangles.

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = 0.5x + 2

Step-by-step explanation:

let y = f(x) and rearrange making x the subject , that is

y = 2x - 4 ( add 4 to both sides )

y + 4 = 2x ( divide both sides by 2 )

[tex]\frac{y+4}{2}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2

Answer: F -1(x)  = 0.5 x + 2

Step-by-step explanation:

Just took the test on edmentum and got a 100

Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Answer:

(i) 3.438159 kg

(ii) 5.336803297 cm

Step-by-step explanation:

the external diameter = 12 cm, => the radius = 6 cm.

the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.

I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).

the material is in the volume of external sphere minus internal (empty) sphere.

the volume of a sphere is

4/3 × pi×r³

V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³

V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³

V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³

1cm³ = 5.4g

636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg

for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.

636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152

152 = r³

r = 5.336803297

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

4/63

Step-by-step explanation:

20/315 = (20÷5)/(315÷5)

Answer:

None

Step-by-step explanation:

No lines can be folded over to match up with the opposite side

Answer:

it can be 5 from my side is that right

Answer:

is ur question right

Step-by-step explanation:

is ur question right

is ur question right

is ur question right

Answer:

The term a⁴-3a²b²+b⁴ can't be factorised

Answer:

1. 1114/117        2. 212/123       3. -256/29       4. -27/79

Step-by-step explanation:

1. 1114/117

2. 212/123

3. -256/29

4. -27/79

Answer:

2.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The series is missing from the question. I will answer this question with a general explanation by using the following similar series:

[tex]\sum\limits^6_{n=0} 7^n[/tex]

Required

The series

To do this, we simply replace n with the values

[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6

[tex]\sum[/tex] means the series is a summation series

So, we have:

[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]

[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]

Answer:

Pls give me the answers as soon as possible and make sure that the answers are correct.

Answer:

Step-by-step explanation:

Answer:

Each x-coordinate increased by 6 and each y-coordinate decreased by 3.

Step-by-step explanation:

Let us use the coordinates of a and a' as an example

a = (-3, 5) a' = (3, 2)

So -3 is for the x-axis in coordinate a and 3 is for the x axis in coordinate a'

Then -3 + 6 = 3 ( This is the x coordinate for a' )

So 5 is for the y -axis in coordinate a and 2 is for the y axis in coordinate a'

Then 5 - 3 = 2 ( This is the y coordinate for a' )

HOPE THIS HELPED

Answer:

13 is answer

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Against the wind, the wind works against the speed. With the wind, the wind aids the speed.

4(p - w) = 2416

4(p + w) = 2896

p - w = 604

p + w = 724

2p = 1328

p = 664 mph

664 + w = 724

w = 60 mph

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)

Answer:

I don't understand the equation, please state it differently

Answer:

I think the answer is 2

Step-by-step explanation:

Between 30 and 60 is double b so just divide 4 by 2.

Answer:

66

Step-by-step explanation:

The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.

The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.

The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)

There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

mean = 450 sec

standard deviation = 50 sec

Hence, We get;

450-50 =400

450+50=500

Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.

68% = 0.68

Thus,

0.68 x 97 = 65.96 ≈ 66

Learn more about the addition visit:

https://brainly.com/question/25421984

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Answer:

square root of 167281 is 409

Here's the Step-by-step explanation using division:

Answer:

C. 14 ft by 21 ft

Step-by-step explanation:

First you want to set up an equation:

3 1/2" over x' = 1/4" over 1'

7/2 = 1/4x

14' = x

Next, do the same thing for the other side of the drawing (5 1/4")

5 1/4" over y' = 1/4" over 1'

21/4 = 1/4y

21' = y

So the answer is 14 ft by 21 ft (C)

Answer:

9.

3 ( 1 - 3x ) = 2 (-4x + 7)

3 - 9x = -8x +14

-9x +8x  = 14 - 3

-x = 11

x = -11

10.

-10 + x + 4 - 5 = 7x - 5

-10 +x -1 = 7x - 5

-11 + x = 7x - 5

-11 + 5 = 7x -x

-6 = 6x

x = -6/6

x = -1

11.

-8n + 4 ( 1 + 5n ) = -6n -14

-8n + 4 + 20n = -6n -14

12n +4 = -6n -14

12n  + 6n = -14 -4

18n = -18

n = -18/18

n = -1

12.

-6n - 20 = -2n + 4 ( 1 - 3n)

-6n - 20 = -2n + 4 - 12n

-6n - 20 = -14n +4

-20 -4 = -14n +6n

-24 = 8n

n = -24/8

n = -3

13.

4n - 40 = 7 (-2n +2)

4n - 40 =  -14n + 14

4n +14n = 14 +40

18n = 54

n = 54 / 18

n = 3

14.

7(5a - 4) -1 = 14 - 8a

35a -28 -1 =  14 - 8a

35a -29 = 14 - 8a

35a +8a = 14 +29

43a = 43

a = 43/43

a = 1

15.

-31 - 4x = -5 - 5 ( 1 + 5x)

-31 - 4x = -5  -5 - 25x

-31 - 4x = -10 -25x

-4x +25x = -10 +31

21x = 21

x = 21/21

x = 1

16.

38 +7k = 8 (k +4)

38 +7k = 8k + 32

38 - 32 = 8k -7k

k = 6