Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here​

Answer:

a. 2/5 and 2:3

b.  

c. 6

d. 40% and 60%

Step-by-step explanation:

a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is: 2.25 cups

c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups

d) 40% of the lemonade is lemon juice, and 60% is water.

e) She should increase the ratio to 3:2

f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is solved as:

1¹/₂ cups of lemon / water = 2/3

³/₂ cups of lemon / water = 2/3

Cross multiply to get:

water = 9/4

water = 2.25 cups

c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:

lemon juice / 9 = 2/3

Cross multiply to get:

lemon juice = 18 / 3

lemon juice = 6 cups

d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:

Lemon juice: (2/5) * 100% = 40%

Water: (3/5) * 100% = 60%

e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.

f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

Read more about Ratio Problems at: https://brainly.com/question/12024093

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Answer:

Option C is the correct answer.

Step-by-step explanation:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula

x=(m/m+n)(x₂ - x₁)+ x₁

Substituting the values, we get;

x= 1/4(4+5)-5

x = 9/4-5

x = -11/4

Thus, the x - coordinate of the point P is -11/4

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=(m/m+n)(y₂ - y₁)+ y₁

Substituting the values, we get;

y= 1/4(1+1)-1

y = 2/4-1

y= -2/4

y= -1/2

Thus, the y - coordinate of the point P is -1/2

Therefore, the coordinates of the point P is (-11/4, -1/2)

Hence, Option C is the correct answer.

please mark me brainliest!

Answer:

C

Step-by-step explanation:

I just did it on edge

Answesr:

À

Step-by-step explanation:

A cube has faces of equal measurements so u multiply the area of one face with 6

(5×5)6=150

Answer:

150 m 2

A

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos150°

= - cos(180 - 150)°

= - cos30°

= - [tex]\frac{\sqrt{3} }{2}[/tex]

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

sin150°

= sin (180 - 150)°

= sin30°

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

The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.

To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.

cos(150°):

We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:

cos(150°) = -cos(30°) = -√3/2.

sin(150°):

We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:

sin(150°) = sin(30°) = 1/2.

Learn more about trigonometric values on:

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Answer:

84

Step-by-step explanation:

We can represent the money Emily has as x, and the money Juan as j.

x  = j + 19

Substituting 65 for j we get

x = 65 + 19

x = 84

Answer:

x = -32/3

y =28/3

Step-by-step explanation:

2x + 4y = 16

-5x-4y = 16

Add the equations

2x + 4y = 16

-5x-4y = 16

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

-3x = 32

Divide each side by -3

x = -32/3

Now solve for y

2x+4y = 16

2(-32/3) +4y = 16

-64/3 +4y = 16

Multiply each side by 3 to get rid of the fractions

-64 +3*4y = 16*3

-64 + 12y = 48

Add 64 to each side

12y = 112

Divide by 12

12y/12 = 112/12

y =28/3

What is a slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'

                                               y = m x + c

m is the slope

Given data ,

Let the point be P ( x , y ) = P ( 0 , 7 )

Slope m of line = 1 / 6

The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by

y = m x + c

Substitute the values of x and y in the equation , we get

7 = ( 1/6 ) × 0 + c

So , c = 7

Therefore , the equation becomes y = ( 1 / 6 ) x + 7

Hence , the graph of the equation can be described

Answer:

B

Step-by-step explanation:

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.

A prism with the cross-section of a triangle.

The total surface area of the triangular prism will be :-

3(rectangles area) + 2(area of the triangle)

The area of the triangle will be :-

1/2 x base x height

= 4 units²

The area of the rectangle will be :-

length x width

= 2 x 1 = 2 units²

Then the total area will be :-

3(2) + 2(4) = 6+8 = 14 units²

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

More about the triangular prism link is given below.

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Answer:

C

Step-by-step explanation:

If you multiply by 100 u get C

Answer:

C

Step-by-step explanation:

To turn a number into a percentage, you must multiple it by 100.

Answer:

254.34 cubed centimeters

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )

Answer:

D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]

Step-by-step explanation:

Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.

sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

Answer:

40 miles per hour

Step-by-step explanation:

Change 300 minutes to hours.  There are 60 minutes to hours

300 minutes * 1 hour/ 60 minutes = 5 hours

Now take the miles and divide by hours

200 miles / 5 hours = 40 miles per hour

Answer: 40 mph

Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.

Step-by-step explanation:

3x2 pls is this multiplication sign or it is (x)

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

Answer:

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

Answer:  25

Step-by-step explanation:

Lewis told me

Answer:

Pyramid

Step-by-step explanation:

Because a pyramid has a polygon as its base

Answer:

The correct answers are A. polyhedron. and C. pyramid

Step-by-step explanation:

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

Answer:

1- 4/6 = 2/6 or 1/3.

Answer:

1/3

Step-by-step explanation:

1 - 4/6

Replace 1 with 6/6

6/6 - 4/6

2/6

Divide the top and bottom by 2

1/3

Answer:10.25

Step-by-step explanation:

Answer:

13 and 77 degrees

Step-by-step explanation:

First, you start by subtracting 12 from the 90..

90 - 12 = 78

then, take 78 and divide it by 6.

78/6 = 13

13 is the measure of your smaller angle.

multiply 13 by 5 and then add 12 to find the measure of the larger angle.

13 x 5 = 65

65 + 12 = 77

77 is the measure of your larger angle.

Answer:

f(x)=√x f ( x ) = x is x≥0 x ≥ 0

Step-by-step explanation:

The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.

Answer:

Step-by-step explanation:

To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:

f(x) = 2x^2 + 3x - 2

First, we factor out the coefficient of x^2:

f(x) = 2(x^2 + (3/2)x) - 2

Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:

f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2

Simplifying the expression inside the parentheses:

f(x) = 2[(x + 3/4)^2 - 9/16] - 2

Expanding the brackets and simplifying:

f(x) = 2(x + 3/4)^2 - 17/8

Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.

Hope that helps

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Answer:

B

Step-by-step explanation:

Answer:

(3x + 4)(2x - 5)

[tex]6x^{2}+7x-20=0[/tex]    =    (3x + 4)(2x - 5)

Hope this helped! Have a great day!