Alexandra saved up her money and bought a
model train. Each of the 8 cars on the train was
the same length. When Alexandra put all the cars
together, the train was 3 feet long.
How long was each car?






in my opinion i think it’s 8/3 pls tell me if i’m right but if i’m not can you tell the answer

So essentially an adjacent angle is when two angles have a common side and a common vertex.

So knowing that we can determine from the picture all the adjacent angles:

D) <2 and <3 are adjacent angles

E) <1 and <3 are adjacent angles

F) <1 and <5 are adjacent angles

I hope this helps.

Answer:

The LCM is:

[tex](a^2+b^2)(a+b)(a-b)[/tex]

Step-by-step explanation:

Given polynomials are:

[tex]a^2+b^2\\a^4 - b^4[/tex]

We can use factorization to find the LCM of the given polynomials.

Taking the second polynomial, using the identity

[tex]a^2 - b^2 = (a+b)(a-b)[/tex]

Applying on 2nd polynomial

[tex](a^2)^2-(b^2)^2\\=(a^2+b^2)(a^2-b^2)\\=(a^2+b^2)(a+b)(a-b)[/tex]

We can see that [tex]a^2+b^2[/tex] is common in both polynomials, it will be counted only one time. The LCM of given polynomials is:

[tex](a^2+b^2)(a+b)(a-b)[/tex]

Answer: C

Step-by-step explanation: The answer is C because it is.

Answer:

I am sure that the answer is 2 1/3 is greater than 2 1/6, which is the second option, B

Step-by-step explanation:

I just took the unit test and got it right, i hope this helps! :))

Answer:

t=4

Step-by-step explanation:

there nothing more to do

Answer:

its 4 i think

Step-by-step explanation:

|x| = 4    This means: What value can we substitute for x to get an answer of 4?

**You might automatically say: x = 4    because |4| = 4

Yes, you are correct! However, this is not the only answer. You will have two answers for this equation because:

Isn't |-4| = 4 ?

So, this answer is x = 4 or -4.

Answer: Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.

Step-by-step explanation:

Answer:

2:40 to 3:16

2:40 to 3 is 20 min

3 to 3:16 is 16 min

20+16=36

So, Gary was on the ride for 36 minutes!

Answer:

12

Step-by-step explanation:

3=1 1/2

3/8 = 1.5/x

So you cross multiply

3x + (8 x 1.5)

So 12 would be your answer.

Answer:

false

Step-by-step explanation:

let the point (x,y) be (4/3,0)

3*(4/3)-0>4

4>4 false

Step-by-step explanation:

Hope this helps, happy learning

Answer:

Y= -3/5x - 3

Step-by-step explanation:

3x+5y=-15

-3x. -3x

5y=-3x-15 then you would divide 5 from all the numbers to get : y=-3/5x-3.

Answer:

c is the answer

Step-by-step explanation:

Answer:

A NUMBER

Step-by-step explanation:

Answer:

.682

Step-by-step explanation:

Answer:

(0,2.5) and (1,1)

Step-by-step explanation:

Given

[tex]3x + 2y = 5[/tex]

Required

Determine the points that satisfy the equation

To do this, we substitute values for x and y in the equation.

Let x = 1

Substitute 1 for x in [tex]3x + 2y = 5[/tex]

[tex]3(1) + 2y = 5[/tex]

[tex]3 + 2y = 5[/tex]

Make 2y the subject

[tex]2y = 5 - 3[/tex]

[tex]2y = 2[/tex]

Solve for y

[tex]y = 1[/tex]

Hence, a point is: (1,1)

To determine another point, take x as 0

Substitute 0 for x in [tex]3x + 2y = 5[/tex]

[tex]3(0) + 2y = 5[/tex]

[tex]0 + 2y = 5[/tex]

[tex]2y = 5[/tex]

Solve for y

[tex]y = \frac{5}{2}[/tex]

[tex]y = 2.5[/tex]

Hence, another point is (0,2.5)

Answer:

The decision rule is  

  Reject the null hypothesis

The test statistics is [tex]t = -2.699[/tex]

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 = 15[/tex]

   The mean at first deployment is  [tex]\= x _1 = \$ 150 000[/tex]

   The standard deviation is  [tex]s_1 = \$ 40000[/tex]

    The second sample size is [tex]n_2 = 25[/tex]

    The mean at second deployment is  [tex]\= x_2 = \$ 180000[/tex]

    The standard deviation is  [tex]s_2 = \$ 30 000[/tex]

The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

   The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df =n_1 + n_2 -2[/tex]

=>   [tex]df =40 -2[/tex]

=>   [tex]df =38[/tex]

Generally the pooled variance is mathematically represented as

      [tex]s_p^2 = \frac{x(n_1 -1) s_1^2 + (n_2 - 1)s_2^2}{df}[/tex]

=>   [tex]s_p^2 = \frac{(15 -1) 40000^2 + (25 - 1)30000^2}{38}[/tex]

=>   [tex]s_p^2 = 1.1579 * 10^{9}[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{ \= x_1 - \= x_2 }{\sqrt{s_p [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]

=>   [tex]t = \frac{ 150000 - 180000 }{\sqrt{1.11579 *10^{9} [\frac{1}{15} + \frac{1}{25} ]} }[/tex]

=>   [tex]t = -2.699[/tex]

Generally from the  t distribution table the probability corresponding to the t statistics value to the left is  

     [tex]t_{-2.699 , 38} = 0.00516046[/tex]

Generally the p -value is mathematically represented as

     [tex]p-value = 2* t_{-2.699, 38}[/tex]

=>  [tex]p-value = 2* 0.00516046[/tex]

=>  [tex]p-value = 0.01032[/tex]

From the obtained value we see that the  [tex]p-value < \alpha[/tex]  hence

   The decision rule is  

  Reject the null hypothesis

Answer:

$12,000

Step-by-step explanation:

2% for 5 years is 10% in total. if after the 5 years she gotta pay 1200, this mean 0.1p=1200

multiply 10 on both sides to find p, or principal.

p=12000

Answer:

$12,000

Step-by-step explanation:

P = 1200 / ( 0.02 × 5 ) = 12000

P = $ 12,000.00

Answer:

It will be withheld $75 for federal income.

Step-by-step explanation:

Proportions

Assuming the federal income tax is proportional to the earnings, we can establish the following relationship between the income tax (T) and the earnings (E):

T = k.E

Kimberly earned E=$500 and paid T=$50 for federal income tax, With this information, we can calculate the value of k:

50 = k ( 500)

k = 50 / 500

k = 0.1

The model is now:

T = 0.1*E

If Kimberl earns $750 next month, the tax will be:

T = 0.1*($750)

T = $75

It will be withheld $75 for federal income.

Answer:

|-5|

Step-by-step explanation:

I hope this helps!

Answer:

x+y= 136099

&'&**!;;#$*$*$$-%-%=-$*$&2=28%%"

Answer:

the answer should be c

Step-by-step explanation:

180-90=90

90-41=49

49-1=48

48:6=8

x=8

Answer:

C) 8

Step-by-step explanation:

41 + 6x + 1 = 90° because this is a right angle

42 + 6x = 90 subtract 42 from both sides

6x = 48 divide both sides by 6

x = 8

Answer:

x ≤ 50

I hope this was helpfull :)

Answer:

16 weeks

Step-by-step explanation:

85 divided by 5 is 17. Take away one week for the $5 he already has. So you get 16 weeks.

Hope this helps you!

Answer:

False

Step-by-step explanation:

Answer:

The sum of seven and five is 12 so the number would be 4 because 12 times 4 is 48 so the answer is "4" please give me brainliest!!

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation: