Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 16 miles per hour slower than the eastbound train. If the two trains are640 miles apart after 4 hours, what is the rate of the westbound train?

Answer:

84

Step-by-step explanation:

A traingle's area is base x height / 2.

21 x 8 = 168

168/2 = 84

Answer:

84 ft2 (D.)

Step-by-step explanation:

I just finished the test and got an 100% :)

Answer:

B.   x = 7, y = 4√2

Step-by-step explanation:

Drop a vertical from the upper left corner

This creates a rectangle and a 45-45-90 triangle

The bottom of the rectangle is 3

The legs of the triangle are 4

Therefor

x = 4 + 3

x = 7

For a 45-45-90 triangle

the hypotenuse = leg * √2

y = 4√2

Step-by-step explanation:

21.

22.

23.

hope it helps

Answer:

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Step-by-step explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12

Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers

Answer:irst, write the scale factor. Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display. Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet

Step-by-step explanation:

We are given the right-angle triangle with two known sides and one unknown side.

We can use the Pythagoras theorem to find the length of the unknown side.

Recall that Pythagoras theorem is given by

Where c is the side opposite to the 90° angle.

Let us substitute the given values into the above equation

Simplify the equation

Take the square root on both sides

Therefore, the length of the third side of the right angle tri

Answer:

5x + 34 = -2(1-7x)

This equation will have only one solution because it is a linear equation, it has only one variable and the two sides of the equation are set equal to each other, which means that there is only one value that x can take to make the equation true.

It can be solved by isolating the variable on one side, then solving for x.

The other equations listed have multiple solutions or no solutions.

Step-by-step explanation:

Answer:

5x + 34 = -2(1-7x)

Step-by-step explanation:

5x + 34 = -2+14x

5x-14x=-2-34

-9x=-36

Divide through by -9

x= 4

Answer: A, C

Step-by-step explanation:

Diagonals of a parallelogram bisect each other, so \(4x-7=2x+1 \longrightarrow x=4\). So \(ED=4(4)-7=\boxed{9}\).

Opposite sides of a parallelogram are congruent, so \(8y-3=3y+7 \longrightarrow y=2\), so \(AD=8(2)-3=\boxed{13}\)

Answer: 47

Step-by-step explanation:

There would be no x intercepts (I think)

And the y intercept would be (0,7)

So the vertex would be (-6,3)

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

Step-by-step explanation:

This doesn't factor. Not only that, but it does not give real results. The discriminate is negative.

a = 2

b = 4

c = 10

You could divide this equation by 2

a = 1

b = 2

c = 5  

These three are smaller and easier to calculate. The answer will be the same.

x = (- b +/- sqrt(b^2 - 4*a*c ) / (2 a)

x = (-2 +/- sqrt(^2 - 4(1)*(5) ) / 2*1

x = (-2 +/- sqrt(4 - 20) ) / 2

X = (-2 +/- sqrt(-16) ) /2

x = (-2 +/- 4i ) / 2

x = ( - 1) +/- 2i

Answer:

r and t both = \(2\sqrt{2}\)

o = 9

f = 18

Step-by-step explanation:

Answer:

37°

Step-by-step explanation:

180°－80°－75°＝25°

(x－12）＝25°

x＝25°+12°

＝37°

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

Step-by-step explanation:

?

13) 120 + 1.5 + 0.25 = 121.75 pounds

14) 4 - 1.5 = 2.5 pints

15) (2.25)(32)= $72

As per the unitary method, Mrs. Smith's current weight is 121 pounds and 3 ounces.

To find Mrs. Smith's current weight, we need to add the weight she gained over the last two months to her initial weight. First, we will convert the mixed fractions to improper fractions for easier calculations.

1½ pounds can be written as (2 * 1) + 1/2 = 3/2 pounds.

1/4 pound remains as it is.

Now, let's add the weight gained in the last two months:

3/2 pounds + 1/4 pound = (3/2) + (1/4) = (6/4) + (1/4) = 7/4 pounds.

Next, we add the total weight gained to Mrs. Smith's initial weight:

120 pounds + 7/4 pounds = (120 * 4/4) + (7/4) = (480/4) + (7/4) = 487/4 pounds.

To express the answer in pounds, we convert the improper fraction back to a mixed fraction:

487/4 pounds can be written as (4 * 121) + 3 pounds.

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Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

\(\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000\)

Hence, the total value of his large assets is $42,000.

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Time: 3hr and 10 minutes

Distance: 14.32 km

Apply the next formula:

Speed: Distance/ time

First, convert the time into hours:

60 min = 1 hour

10 min = 10/60 = 0.167 hours

3+0.167 = 3.167 hours

Back with the formula:

Speed: 14.32/3.167 = 4.52 km/h

The required sample covariance of the given sample is (C) -0.20.

The link between two random variables from the sample is measured using sample covariance, which uses a smaller sample of the population.

Working with huge populations, such as in long-term medical studies or stock investment tools, makes this statistic helpful.

So, the number of samples is:
n = 6

Then, the mean of x:

\(\begin{aligned}\bar{x} & =\frac{\sum x}{n} \\& =\frac{30}{6} \\& =5\end{aligned}\)

The mean of y:
\(\begin{aligned}\bar{y} & =\frac{\sum y}{n} \\& =\frac{12}{6} \\& =2\end{aligned}\)

The sample covariance:

\({Cov}(x, y)=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{n-1}\\\begin{aligned}& =\frac{-1}{5} \\& =-0.20\end{aligned}\)

Therefore, the required sample covariance of the given sample is (C) -0.20.

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Correct question:

Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1

The sample covariance for this data set is ?

a). 2.30

b). -0.20

c). 0.65

d).-1.77

Answer:

x and y is 59 degrees

Step-by-step explanation:

You can find the angle next to 121 which is 59 degrees considering linear pair. Then, you can figure out y by doing corresponding angles and so this means that y is also 59 degrees. To find x, we know that x is vertical to y and that they are the same value. So, this means that x is 59 degrees as well. Hope this helps!

Answer:

$21.25

Step-by-step explanation:

The cost of the 2 adult tickets before the discount is $8 * 2 = $16

The cost of the 2 child tickets before the discount is $5 * 2 = $10

The total cost before the discount is $16 + $10 = $26

The total cost after the discount is

$26 * (1 - 0.15) =

$26 * 0.85 =

$21.25

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

C. y = 11.76(0.7)×

Step-by-step explanation:

I calculated it logically

The exponential equation that models the data is  y = 16.8×1.7ˣ.

A relation is a function if it has only One y-value for each x-value.

y = a.rˣ is the exponential function.

We can see that the y-values are decreasing, which means that the growth factor must be between 0 and 1.

Additionally, we can divide the y-value for each x by the y-value for the previous x to get an estimate of the growth factor.

Using this method, we find that the growth factor is approximately 0.85, which means that a possible equation is y = a × 0.85ˣ.

To find the value of a, we can substitute one of the data points into the equation.

Lets use the point (-2, 24), we get:

24 = a × 0.85⁻²

a = 24 / 1.551

a = 15.456

Therefore, the exponential equation that models the data is  y = 16.8×1.7ˣ.

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Answer:

pretty sure its C

Step-by-step explanation:

I think this because 1600 rounds up to 2000 and 1483 rounds down to 1000 and 2000>1000

Answer:

20

hope this helps

have a good day :)

Step-by-step explanation: