Two trains leave a station on different tracks. The


tracks make an angle of 115° with the station as a


vertex. The first train travels 200 kilometers and


makes its first stop in Pocomoc, while the second


train travels 350 kilometers and makes it first stop


in Easton, How far apart are the trains when both


are at their first stop? Round the answer to the


nearest tenth


221,666.6 km


188.7 km


470.8 km


360.6 km

Answer:

B. 658 3/7

Step-by-step explanation:

Answer:

52/15 So roughly 3.5

Step-by-step explanation:

3 7/15 =

((3x15) + 7)/15

52/7

Answer:

1. Not a solution

2. Not a solution

3. Not a solution

4. Not a solution

5. A Solution

6. A solution

Step-by-step explanation: 5 is correct because it is 3 times 2 so 6, but there is no y so the final answer is 6. And the last one is 6 x 2 = 12 and then -2 x 3 = - 6, so 12 - 6 = 6.

Hope this helps

Answer:

The fifth and sixth answer are solutions.

Step-by-step explanation:

If you substitute the x and y values, essentially multiplying them by the already existing coefficents, you realize that a lot of the equations do not equal 6.

The last two however, do.

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Answer:

Step-by-step explanation:

To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.

Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.

The sum of the parts in the ratio is 8x + 5x + 2x = 15x.

We know that the total number of fruits is 120. Therefore, we can set up the following equation:

15x = 120

To solve for x, we divide both sides of the equation by 15:

x = 120 / 15

x = 8

Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:

Number of bananas = 2x = 2 * 8 = 16

So, there are 16 bananas in total.

We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.

Answer:

15 backpacks

Step-by-step explanation:

9 divided by 3 is 3m so there are 3 times more than 3 people going on this trip

So we just multiply 5 by 3 to get 15

15 backpacks for 9 people

Hopes this helps please mark brainliest

Answer:

it are 1 cup : 1/4, 2/3 cup:1cup,2 cup: 2/3 cup

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Combine like terms

18x - 21 = 33

add 21 to both sides

18x = 54

divide both sides by 18

x=3

Answer:

Step-by-step explanation:

when p is 2 you will have to dived the defeated so the answer is

Answer:

Step-by-step explanation:

.02x + .02 = .08 solve for x

0.02x + 0.02 = 0.08

0.02x = 0.08 - 0.02

0.02x = 0.06

x = 0.06 : 0.02

x = 3

----------------

check

0.02 * 3 + 0.02 = 0.08

0.06 = 0.08 - 0.02

0.06 = 0.06

The answer is good

Answer:

Question 1. 3.75 x 922

Step-by-step explanation:

for question 1 if u noticed that they both have the same numbers in the same order the only difference is where the decimal point is placed. First u need to anylase both equations to do that u need to look at 922 and 9.22 not the 3.75  and 37.5 because the decimal point doesn't justify anything. So you see 922 is bigger than 9.22. So the answer is 3.75 x 922.

Answer:

t = A - p/pr

Step-by-step explanation:

A = p + prt

A = p(1 + rt)

/p       /p

------------------

A/p = 1 + rt

-1       -1

------------------

A/p - 1 = rt

/r            /r

-------------------

A/pr - 1/r = t

t = A - p/pr

Answer:

t = A - p/pr

Step-by-step explanation:

bring a and the rest of the values to one side

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

\(4x+2(x-5)=3(2x-4)\\\\4x+2x-10=6x-12\\\\4x+2x-6x=-12+10\\\\0=-2\)

Equation doesn't have any solution.

Answer: 7

Step-by-step explanation: 10s - 3= 7 because if s = 1 then, 10 x 1= 10 - 3= 7

Answer:

Step-by-step explanation:

Even though im in high school im not completely sure about this, try multiplying all the points.

Answer: Both C and D are correct

Step-by-step explanation:

To remove the exponent from the v you need to square root both sides,

the exponent on the v is then canceled out giving you:

\(v=\sqrt{25/81}\) or \(v=-\sqrt{25/81}\)

Answer:

Both C & D are correct

Step-by-step explanation:

\(v^{2} =\frac{25}{81}\)

Root both sides of the equation to remove the square.

\(v=\±\sqrt{\frac{25}{81} }\)

\(v = \±\sqrt{\frac{5*5}{9*9} } \\v=\±\frac{5}{9}\)

Therefore,

\(v=\sqrt{\frac{25}{81} } =-\sqrt{\frac{25}{81} }\)

Answer: The answer is number choice 1.

Step-by-step explanation:

The slope of each pair of coordinates are as follows -

Pair 1 → (1, 1) and (7, 5) → m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) → m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) → m[3] = 1

Pair 4 → (2, 5) and (-7, -4) → m[4] = 1

Slope of a line is defined as the rate of change of dependent variable with respect to independent one.

Given are the four pairs of coordinates.

The formula to calculate the slope of a line using the coordinates is -

m = (y₂ - y₁) / (x₂ - x₁)

→ for (1, 1) and (7, 5), the slope will be -

m[1] = (5 - 1)/(7 - 1)

m[1] = 4/6

m[1] = 2/3

→ for (1, 1) and (5, 7), the slope will be -

m[2] = (7 - 1)/(5 - 1)

m[2] = 6/4

m[2] = 3/2

→ for (2, 5) and (-1, 2), the slope will be -

m[3] = (2 - 5)/(-1 - 2)

m[3] = -3/-3

m[3] = 1

→ for (2, 5) and (-7, -4), the slope will be -

m[4] = (- 4 - 5)/(-7 - 2)

m[4] = -9/-9

m[4] = 1

Therefore, we can write the slope of each pair of coordinates as -

Pair 1 → (1, 1) and (7, 5) → m[1] = 2/3

Pair 2 → (1, 1) and (5, 7) → m[2] = 3/2

Pair 3 →  (2, 5) and (-1, 2) → m[3] = 1

Pair 4 → (2, 5) and (-7, -4) → m[4] = 1

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Answer:

Step-by-step explanation:

Vertical angles always come in pairs. They share a common vertex but they cannot share a side. Vertical angles are congruent, which means they have equal measures.

Answer:

Vertical angles cannot share a side, they share a common vertex and always come in pairs.

Answer: First, Second and Third.

Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.

The students can do 10 miles each week.

Your grandparents could have 20 pets.

The data can be plotted into a graph and this would count as statistical/numerical data.

60% of her allotted time has she used.

Here, we have,

given that,

Charlie’s mom set the timer for her to complete her homework.

She has 24 minutes remaining of the 60-minute timer.

so, we get,

total time = 60 minutes

she has remaining = 24 minutes

then, she has used = 60 - 24 = 36 minutes

now, we need to find the percentage of her allotted time has she used.

so, we have,

she used 36 minutes of 60 minutes

so, she has used = 0.6

                             = 60%

Hence, 60% of her allotted time has she used.

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Answer:

  (d)  x = -3/4; y = -3 1/2

Step-by-step explanation:

You are asked for the coordinates of the point of intersection of the lines on the graph. This requires interpolation, because not all grid lines are marked, and the point is not on any grid line.

The idea of "interpolation" is figuring the value of a point that lies between points whose values are known. The answer choices here suggest that we are to interpolate to the nearest 1/4 unit. This requires that you mentally (or actually) divide the space between grid lines into 4 equal sections, and figure where the point lies relative to those divisions.

In the case of the x-coordinate, the first grid line left of the y-axis is not marked, but we notice it lies halfway between x=0 and x=-2. That means we can safely assume that the unmarked vertical grid line has a value of x=-1.

horizontal coordinate

The location of the point of intersection of the two lines is horizontally closer to the -1 (unmarked) grid line than it is to the y-axis. Its x-value will be between -1 and 0. The answer choices tell us it is -3/4, consistent with it being about 3/4 of the distance toward -1 from 0.

  x = -3/4

vertical coordinate

The location of the point of intersection of the two lines is vertically about halfway between -3 and -4. The answer choices tell us it is -3 1/2.

  y = -3 1/2

Answer:

Step-by-step explanation:

We are given:

      2

- ----------

    -13

Since a negative number (-2) divided by another negative number results in a positive number,

      2

  ----------

     13

Both Answers A and B are correct; the final value in each case is +2/13.

The equivalent expression will be (-2)/(-13) and-(-2/13) so option (A) and option (B) both will be correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.

The denominator of a fraction is the numerical value that comes before the brings together various.

If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator. For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that\(-\dfrac{2}{-13}\)  now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13

If you take both options A  and B in both options the negative sign going to cancel and it will give a positive value.

Hence "The equivalent expression will be (-2)/(-13) and-(-2/13)".

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Answer:

8

Step-by-step explanation:

55-47=8

Answer:

j = 8

Step-by-step explanation:

= j + 47 = 55

= j + 47 - 47 = 55 - 47 j

Answer : j = 8

just get the area for all of them and add legth time width

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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