Glen, Andre, and Ramón share the cost of renting a vacation cottage. The total cost is $960. Glen pays 30% of the total cost. Andre pays 0.45 of the total cost. Ramón pays the rest. How much does Ramón pay?

Answer (assuming the equation can be written in point-slope form):

[tex]y-2 = -\frac{3}{2}(x+6)[/tex]

Step-by-step explanation:  

When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].

1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:

[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]

Thus, the slope is [tex]-\frac{3}{2}[/tex].

2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.

The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for

[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]

Answer:

perimeter = 2√10 + 2√5 ≈ 10.797

Step-by-step explanation:

Perimeter = DA + AB + BC + CD

DA = CB

D(4 , 4)

A(7, 5)

DA = √(7-4)² + (5-4)²

DA = √(3)² + (1)²

DA = √9+1 = √10

AB = CD

D(4, 4)

C(3, 2)

CD = √(4-3)² + (4-2)²

CD = √(1)² + (2)²

CD = √1 + 4 = √5

Perimeter = √10 +√5+√10+√5

                = 2√10 + 2√5 ≈ 10.797

Answer: m=0.5

Step-by-step explanation:

Let's find the slope between your two points.

(7,9.5);(2,7)

(x1,y1)=(7,9.5)

(x2,y2)=(2,7)

Use the slope formula:

m=Let's find the slope between your two points.

(7,9.5);(2,7)

(x1,y1)=(7,9.5)

(x2,y2)=(2,7)

Use the slope formula:

y2−y1/y2−y1

7−9.5/2-7

2.5/-5  m=0.5

Answer:

[tex]\displaystyle m=0.5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (7, 9.5)

Point (2, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

Answer

2x+3y=14,2x−3y=2

Adding :

2x+3y=14

2x−3y=2

__________

4x=16

x=4

∴xy=4×2

=8

2×4+3y=14

8+3y=14

3y=6

y=2

Step-by-step explanation:

here you go

Answer: The y-intercept is found by substituting known values for x and y in the equation and solving for b. the known values are (x,y) = (2,8.4) Equation of y = 4.2*x + b becomes 8.4 = 4.2*2 + b

Step-by-step explanation:

Answer:

I don't know but 4 could be it

Step-by-step explanation:

Answer:

9.3

Step-by-step explanation:

Answer:

it is b sorry I tried to work out it best have a nice day

Answer:

a=

Step-by-step explanation:

Answer:

21/8 cups of vegetables per cup of cheese

Answer:

(-1,4)

Step-by-step explanation:

Using elimination, add the two equations to get rid of the y variable.

17x = 43 - 15y

+8x = -68 + 15y

=25x = -25

x = -1

Now plug in -1 for x in any of the equations.

17(-1) = 43 - 15y

-17 = 43 - 15y

-60 = -15y

y = 4

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Answer:

[tex] 8^{16} [/tex]

Step-by-step explanation:

[tex] 8^9 \cdot 8^7 [/tex]

Use the rule

[tex] a^m \times a^n = a^{m + n} [/tex]

[tex] 8^9 \times 8^7 = 8^{9 + 7} = 8^{16} [/tex]

Answer:

14 blocks

Step-by-step explanation:

Answer:

t^2+4

Step-by-step explanation:

The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:

4t-6+2w=2t^2+4t+2

4t+2w=2t^2+4t+8

2w=2t^2+8

w=t^2+4

This means that the table's width is t^2+4

Answer:

i think 42

Step-by-step explanation:

Answer:

B -(1,4)

Step-by-step explanation:

Answer:

D is the right answer

Step-by-step explanation:

Answer:

35/8; 5 2/8

Step-by-step explanation:

7/8 × 5 = 35/8

35/8 should be simplified down to 5 and 2/8th tanks

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

[tex]V = \pi r^2h[/tex]

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

Answer:

Step-by-step explanation:

The diagonal has a length equal to the square root of the sum of the three dimensions squared.

[tex]D^2=6^2+10^2+15^2\\ \\ D^2=261\\ \\ D=\sqrt{261}\\ \\ D=19cm[/tex]

Answer:

the answer is x= 5 and y = 1.5

Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.

★ From Equation No 2 :-

>> x + 2y = 8

>> x = 8 - 2y

★ In Equation No 1 :-

Substituting here the value of x which we got above as (8 - 2y).

>> 5x - 4y = 19

>> 5 (8 - 2y) - 4y = 19

>> 40 - 10y - 4y = 19

>> 40 - 14y = 19

>> -14y = 19 - 40

>> -14y = -21

>> 14y = 21

>> y = 21 / 14

>> y = 1.5

★ Finding out value of x :-

>> x = 8 - 2y

>> x = 8 - 2 (1.5)

>> x = 8 - 2 × 1.5

>> x = 8 - 3

>> x = 5

Answer:

600

Step-by-step explanation:

Volume big cuboid=100×60×40=240000cm³

Volume small cuboid=5×8×10=400

Number of small cuboids that can fit= 240000/400=600

Answer:

the initial value -- f(0) -- results in a value of 1.5

Step-by-step explanation:

f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex]     (any value raised to the power of zero equals one)

f(0) = [tex]\frac{3}{2}[/tex] · 1

f(0) = 3/2 or 1.5

Answer:

Assuming you are solving for x:

x = 6 - y

Step-by-step explanation:

y = -x + 6

y + x = 6

x = 6 - y

Answer:

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Step-by-step explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Therefore, by substitution, we have;

[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.

Answer:

Step-by-step explanation:

In this scenario, the variable x represents the total number of apples that Alex has eaten. Since Carlos has eaten half as many apples as Alex this would be represented as 0.5 and is why it is being multiplied by the variable x. The 2 in this scenario represents the tangerines that Carlos has also eaten, while the 4 represents the total number of fruits that Carlos has eaten.

Answer:

The answer to number 9 is: 148.16

Step-by-step explanation:

the one on the left (b)

y= mx+b

at x= 0 y = -2

then b= -2

at x= -1 y= 1

1= -m -2

m= -3

y= -3x -2

......

the one on the right side (d)

at x= 2 y = 1

at x= 4 y = 2

1= 2m+b

2= 4m +b

subtract

1= 2m

m= 1/2

y= 1/2 x

Answer:

The equivalent expressions are A. and E.

Answer:

a, b, e

Step-by-step explanation:

a= 3b

b= 3b

c= b^3

d= b+3

e= 3b