The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB​

Answer:

the total is $10.55

Step-by-step explanation:

(7x1.25) + 1.08= 10.55

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

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:

593.0

Step-by-step explanation:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0

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:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-1}{0+3}[/tex] = [tex]\frac{0}{3}[/tex] = 0

Note the slope of any horizontal line parallel to the x- axis is zero

Answer:

i believe 30

Step-by-step explanation:

Answer:

The coefficient is 6 because it has a variable "x"

Answer:

-37/100

Step-by-step explanation:

Here, we want to write -0.37 as a quotient of integers

What we are saying is that we want to write it as a fraction of two numbers

That would be;

-0.37 = -37/100

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:

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!

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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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:

D

Step-by-step explanation:

2*5 = 10

10 > 6

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:

5.25 x 40 = 210

210 + 310.50 = 520.5 \0

his total earning is 520.50

Step-by-step explanation:

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:

he starts with 22 eats 2

22-2=20

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

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:

you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result

Step-by-step explanation:

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 14 → (1)

3x + 3y = 15 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(3) = 14

x + 12 = 14 ( subtract 12 from both sides )

x = 2

solution is (2, 3 )

Answer:

y=4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

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

Answer:

I added the graph

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

Step-by-step explanation:

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:

84.53%

Step-by-step explanation:

total=293

completed=247.7

percentage=247.7/293. ×100%

=84.539%

Answer:

The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production

Answer:

-1

Step-by-step explanation:

Given the equation :

-11 = - 12 + 2x + 3

Collect like terms

-11 + 12 - 3 = 2x

-2 = 2x

-2 /2 = 2x/2

x = - 1

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

Given the equation [tex]-11 = -12 + 2x + 3[/tex] find [tex]x[/tex]

For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:

First substract -3 in both sides of the equation

[tex]-14 = -12 + 2x[/tex]

Later sum 12 in both sides of the equation

[tex]-2 = 2x[/tex]

The final  step is multiply by [tex]\frac{1}{2}[/tex] each side of the equation

[tex]-1 = x[/tex]

So the final answer is [tex]x = -1[/tex]