From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.

Answer:

m^3 - 2m^2/5 + 5m/7 - 2/7

Step-by-step explanation:

Here, we want to expand the given expression

We have;

m^2(m-2/5) + 5/7(m-2/5)

= m^3 - 2m^2/5 + 5m/7 - 2/7

Answer:

60

Step-by-step explanation:

the bird is flying 40 meter above sea level and the fish is 20 meters below the sea level

Answer:

I added the graph

Answer:

he starts with 22 eats 2

22-2=20

he can give each friend 4 cookies because 4*5 is 20

So first, we're gonna split these into their own little sections.

If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.

For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.

Add 10 and 8, and he drove a total of 18 miles to get home.

Answer:

y=4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

on the y-axis, the line is on -1

Answer:

The domain of T is {5, -7, 4, 1} and the range is {5, -7, 4, 1}

Step-by-step explanation:

In the relation of a set of ordered pairs R = {(x, y)}

∵ The relation T is defined as follows, T= {(5, 5), (-7, 4),(4, 0), (1, -4)}

∵ The first number in each ordered pair represents x

∴ x = 5, -7, 4, 1

∴ The set of values of x = {5, -7, 4, 1}

∵ The domain of the relation is the set of values of x

∴ The domain of T = {5, -7, 4, 1}

∵ The second number in each ordered pair represents y

∴ y = 5, 4, 0, -4

∴ The set of values of y = {5, 4, 0, -4}

∵ The range of the relation is the set of values of y

∴ The range of T = {5, -7, 4, 1}

Answer:

In 3 hours, they will be 18 miles apart.

Step-by-step explanation:

Given that:

Speed of Mr. Irvine = 77mi/h

Speed of Mr. Babyak = 71mi/h

Distance to be apart = 18 miles

Let,

t be the time.

We will subtract the speeds as both the cars are driving in the same direction.

Distance = Speed * Time

18 = (77-71)t

18 = 6t

6t = 18

Dividing both sides by 6

[tex]\frac{6t}{6}=\frac{18}{6}\\t=3[/tex]

Hence,

In 3 hours, they will be 18 miles apart.

Answer:

i believe 30

Step-by-step explanation:

Answer:

5.25 x 40 = 210

210 + 310.50 = 520.5 \0

his total earning is 520.50

Step-by-step explanation:

The number of cups of coffee restaurant sold for 40 glasses of orange juice had been sold is 48.

The word "proportion" generally refers to an amount that is divided into parts or shares. Two ratios are in proportion when they are equal, as stated by the definition of proportion. An equation or a statement that says anything to that effect means that two ratios or fractions are equal.

Given that, the D-Town restaurant sold 12 cups of coffee for every 10 glasses of orange juice.

So, the ratio of cups of coffee to glasses of orange is 12:10

The restaurant have sold 40 glasses of orange juice.

Let c number of coffee cups are sold for 40 glasses of orange juice.

So, the ratio is c:40

Then, the proportion (ratios are equal) is 12:10::c:40

10c=480

c=48

Therefore, the number of cups of coffee restaurant have sold for 40 glasses of orange juice had been sold is 48.

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Answer:

-2(x+1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

first, let us mark the two equations as i and ii

2x+ 3y = 7

or, 2x = 7-3y

or, x = (7-3y) ÷ 2.........................(i)

and let 4x-5y= 25............(ii)

Now, put the the value of x from (i) into (ii)

4[(7-3y) / 2] -5y = 25

2(7-3y) -5y = 25

14- 6y - 5y = 25

-11y = 11

y = -1

Now, put y = -1 back in (i)

x = (7-3y)/2

x = 10 /2

x = 5

Answer:

10N to the left

because theres 50N to the right and 60N to the left, the 50 to the right cancels out 50 to the left, leaving you with 10N to the left, or A

Step-by-step explanation:

I hope this helps :)

Answer:

A. 10 N to the left

Step-by-step explanation:

The way you would answer these questions are subtraction or addition. For example, if they are both pulling and pushing to the left it would be 60+30+20=110.

However, it is not. It pulls 30+20N to the right which would be 50N.

Then it pulls 60N to the left

So we have 60N to the left and 50N to the right. Therefore, we would subtract them.

60-50

10

Since 60 goes to the left and was bigger therefore, I would be

A. 10 N to the left.

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

Answer:

Its D all you have to do is times it.....

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i'll be your friend

Answer:

RT = 10

Step-by-step explanation:

Since, U and V are the midpoints of the segments RS and ST respectively.

Therefore,

By Mid-segment Theorem:

RT = 2UV

4x - 22 = 2(10x - 75)

4x - 22 = 20x - 150

150 - 22 = 20x - 4x

128 = 16x

128/16 = x

8 = x

x = 8

RT = 4x - 22 = 4*8 - 22 = 32 - 22 = 10

Answer:

$840

Step-by-step explanation:

Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year

Note that:

1 year = 12 months.

Hence, if:

1 month = $70

12 months = $x

Cross Multiply

$x = 12 × $70

$x = $840

Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840

Step-by-step explanation:

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55

Answer:

11.62%

Step-by-step explanation:

Calculation for What must the expected return on this stock be

Using this formula

Expected return=Risk-free rate+(Expected market return -Risk-free rate)*Beta

Let plug in the formula

Expected return=4.6%+(10%-4.6%)*1.30

Expected return=4.6%+(5.4%*1.30)

Expected return=0.046+0.0702

Expected return=0.1162*100

Expected return=11.62%

Therefore What must the expected return on this stock is 11.62%

Answer:

unchy roll hulu netflix amazon prime

Answer:

-14/20, 50%, 68%, 19/25

Step-by-step explanation:

19/25 is equivalent to 0.76

-14/20 is equivalent to -0.70

50% is equivalent to 0.50

68% is equivalent to 0.68

These placed from least to greatest are

-14/20, 50%, 68%, 19/25.

I hope this helped!

Given:

Two points on a line are A(11, - 1) and B(13, 3).

To find:

The point slope form of the line.

Solution:

Point slope form: If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope, i.e., [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].

Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is

[tex]m=\dfrac{3-(-1)}{13-11}[/tex]

[tex]m=\dfrac{3+1}{2}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

The slope of the line is 2 and it passing through (11,-1). So, the point slope form is

[tex]y-(-1)=2(x-11)[/tex]

[tex]y+1=2(x-11)[/tex]

Therefore, the required point slope form is [tex]y+1=2(x-11)[/tex].

Answer:

a. 3*3-5

=6-5

=1

b. 3*(-2)-5

=-6-5

=-11

c. f(x)=1

or,1=3x-5

or,1+6=x

x=7

Answer:

D

Step-by-step explanation:

2*5 = 10

10 > 6

Answer:

infinitely many solutions

There are ''Infinitely many solutions'' in this system of equations.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = -2x + 2  .. (i)

⇒ 2y + 4x = 4  .. (ii)

Now, Solve the expression as;

Multiply by 2 in (i);

⇒ 2y = 2 (-2x + 2)  

⇒ 2y = -4x + 4

⇒ 2y + 4x = 4

Clearly., Both equations are same.

Hence, There are ''Infinitely many solutions'' in this system of equations.  

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