I DONT WANT TO FAIL!!!! PLEASE HELP ME WITH THE CORRECT ANSWER, WILL MARK AS BRAINLIEST!!!


What is the solution to the system of linear equations? {4x+3y=543x+9y=108 Enter your answer in the boxes.

Answers

Answer 1

Answer:

x = -24

y = 66

Step-by-step explanation:

12x+9y = 102

12x+16y = 432

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

y = 66

4x + (66*3) = 102

198-102 = -96

-96 / 4 = -24

Answer 2

Answer:

solution is [tex](6,10)[/tex]

Step-by-step explanation:

[tex]4x+3y=54[/tex]

[tex]3x+9y=108[/tex]

WE use elimination method to solve for x and y

Multiply the first equation by [tex]-3[/tex]

[tex]-12x-9y=-162[/tex]

[tex]3x+9y=108[/tex]

Now add both the equations, we will get

[tex]-9x=-54[/tex]

Divide by   [tex]-9[/tex] on both sides

[tex]x=6[/tex]

Now we plug in the x value in first equaiton and find out y

[tex]4x+3y=54[/tex]

[tex]4(6)+3y=54[/tex]

[tex]24+3y=54[/tex], subtract 24 on both sides

[tex]3y=30[/tex]

Divide both sides by 3

[tex]y=10[/tex]

So solution is [tex](6,10)[/tex]


Related Questions

The graph below shows two normal distributions.
What is the difference of the means of the distributions?

Answers

Answer:

15

Step-by-step explanation:

The mean of the first graph comes to be the point at which the graph reaches its highest point.

The mean of the blue graph is: μ = 30

The mean of the blue graph is: μ = 45

The difference of the means of the distributions is: 45 - 30 = 15

Answer:

15

Step-by-step explanation:

On a piece of paper, graph y+4<1/2x-2. Then determine which answer choice matches the graph you drew.

Answers

Answer: Graph D

Step-by-step explanation:

in slope intercept form, the equation is y</= 1/2x-6

Since it's </=, the line is solid instead of dashed

Answer:

The graph that matches the inequality is:

                         Graph D

Step-by-step explanation:

We are given a inequality as:

[tex]y+4\leq \dfrac{1}{2}x-2[/tex]

i.e. it could also be represented in the form:

[tex]y\leq \dfrac{1}{2}x-2-4\\\\i.e.\\\\y\leq \dfrac{1}{2}x-6[/tex]

The graph of this inequality is a straight solid line ( since the inequality is not strict i.e. it is a inequality with a equality sign) that passes through (0,-6) and (12,0) .It also passes through (4,-4) and the shaded region is away from the origin.

Hence, the graph which satisfies all the above property is:

                           Graph D

Find the slope of a line given the following points

Answers

Answer:

  -6/5

Step-by-step explanation:

The slope is computed from ...

  slope = (change in y)/(change in x)

  = (-2 -4)/(3 -(-2)) = -6/5

Answer:

[tex]-\frac{6}{5}[/tex]

Step-by-step explanation:

Pre-Solving

We are given the points (-2,4) and (3, -2).

We want to find the slope (m) of this line.

Solving

The slope can be found using the following formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points.

Even though we are already given the points, we can label the values of them to avoid confusion and mistakes.

[tex]x_1=-2\\y_1=4\\x_2=3\\y_2=-2[/tex]

Now, substitute the values of the points into the formula. Remember that we have negative numbers.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-4}{3--2}[/tex]

[tex]m=\frac{-6}{3+2}[/tex]

[tex]m=\frac{-6}{5}[/tex]

The slope of the line is [tex]-\frac{6}{5}[/tex].

A research company is looking at the correlation between the years since 1970 and the average amount of years that couples stay married. Use complete sentences to explain how the data below indicates a non-linear model.


Time (in years) since 1970: 0, 10, 20, 30, 40
Average age of a marriage (yrs.): 10, 11.2, 13.9, 17.2, 29



Answers

Answer and Step-by-step explanation:

Since we have given that

Time                Average age of a marriage

0                                  10

10                                 11.2

20                                13.9

30                                17.2

40                                29

We need to show that the above data indicated a non linear model.

For this it is enough to show that slope is different:

So, we consider the slope for first 2 points:

(0,10) and (10,11.2)

So, slope becomes

[tex]m_1=\dfrac{y_2y_1}{x_2-x_1}=\dfrac{11.2-10}{10-0}=\dfrac{1.2}{10}=0.12[/tex]

and similarly, (10,11.2) and (20,13.9)

[tex]m_2=\dfrac{y_2-y_}{x_2-x_1}\\m_2=\dfra{13.9-11.2}{20-10}=\dfrac{2.7}{10}=0.27[/tex]

so, [tex]m_1\neq m_2[/tex]

So, it becomes non linear model.

The Millers drove 150 miles in 3 hours. At this rate, how long will it take them to drive 400 miles?

Answers

Answer:

It will take 8 hours to drive 400 miles

Step-by-step explanation:

The millers drive 50 miles an hour. So we can write the proportion 1/50 = x/400. Then we solve for x and get 8 hours.

Answer:

The answer is 8!

Step-by-step explanation:

It will take 8 hours to drive 400 miles

The millers drive 50 miles an hour. So we can write the proportion 1/50 = x/400. Then we solve for x and get 8 hours.

Please answer this multiple choice question correctly for 30 points and brainliest!!

Answers

Answer:

  C.  1.8 m × 1.1 m

Step-by-step explanation:

Actual dimensions will be 18 times those shown:

18×6.0 cm = 108 cm ≈ 1.1 m18×9.8 cm = 176.4 cm ≈ 1.8 m

The approximate window dimensions are 1.8 m × 1.1 m.

Curtis kept track of the number of miles he ran each day for 10 days. By day 4, he had already run 9 miles. How many days did it take Curtis to run 21 miles? 9 days 25 days 30 days 7 days

Answers

Answer:

  7 days

Step-by-step explanation:

We assume that "by day 4" means "at the end of day 3." Since Curtis had run 9 miles in 3 days, his average rate is 9/3 = 3 miles per day.

It will take Curtis ...

  (21 mi)/(3 mi/day) = 7 days

to run 21 miles at that rate.

_____

Comment on the question

There is nothing in the problem statement to suggest that the number of miles run each day is the same. A different assumption than the one we have made will give a different answer.

PLease help! timedd

Find the angle between u = sqr5i-8J and v = sqr5i+j. Round to the nearest tenth of a degree. (the square root is only on the 5i in both)
A.65.9
B.98.5
C.90.4
D33.3



Use the dot product to find [v] when v =(-2,-1)


A.-1

b.-3

c;sqr5

dsqr3


Answers

Answer:

98.5 degrees

Step-by-step explanation:

To find the angle measurement between two vectors use: cos(theta)=(u dot v)/(|u|*|v|)

The vectors are u=sqrt(5)i-8j and v=sqrt(5)i+1j .

So find the dot product of u and v.  u dot v=sqrt5*sqrt(5)+(-8)*(1)=5-8=-3.

Second step: Find the magnitude of both vectors.  So to find the magnitude of a vector, let's call it t when t=ai+bj, you just do |t|=sqrt(a^2+b^2).

|u|=sqrt(5+64)=sqrt(69) and |v|=sqrt(5+1)=sqrt(6)

Now multiply your magnitudes of your vectors: sqrt(69)*sqrt(6)=sqrt(414).

So now we have:

cos(theta)=-3/sqrt(414)

Now arccos( ) or cos^(-1) to find the angle theta.

theta=cos^(-1)[-3/sqrt(414)] which is approximately 98.5 degrees.

Answer:

Ans 1) The correct option is B) 98.5

Ans 2) The correct option is C) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

The angle measurement between two vectors by:

[tex]cos(\theta)=\frac{(u.v)}{(|u|\times |v|)}[/tex]

Magnitude of vector t=ai+bj, calculated by:

[tex]|t|=\sqrt{a^{2}+b^{2}}[/tex]

The given vectors are [tex]u=\sqrt{5}i-8j[/tex] and [tex]v=\sqrt{5}i+1j[/tex]

First find the dot product of u and v;

[tex]u.v=(\sqrt{5}i-8j)(\sqrt{5}i+1j) = 5-8= - 3[/tex]

Now,  Find the magnitude of both vectors u and v.  

[tex]|u|=\sqrt{(\sqrt{5})^{2}+8^{2}}[/tex]

[tex]|u|=\sqrt{5+64}[/tex]

[tex]|u|=\sqrt{69}[/tex]

and

[tex]|v|=\sqrt{(\sqrt{5})^{2}+1^{2}}[/tex]

[tex]|v|=\sqrt{5+1}[/tex]

[tex]|v|=\sqrt{6}[/tex]

Now, put the all values in  [tex]cos(\theta)=\frac{(u.v)}{(|u|\times |v|)}[/tex]

[tex]cos(\theta)=\frac{-3}{\sqrt{69} \times \sqrt{6}}[/tex]

[tex]=\frac{-3}{414}[/tex]

take arc cos both the sides,

[tex]\theta=cos^{-1} \frac{-3}{\414}[/tex]

[tex]\theta=98.5 \degree[/tex]   (approx)

Therefore, the correct option is B) 98.5

Ans 2)  calculate IvI by

If t= ai +bj then magnitute is [tex]\sqrt{a^{2}+b^{2}}[/tex]

Given : v = (-2,-1)

it means v = -2i -1 j

[tex]|v| =\sqrt{(-2)^{2}+(-1)^{2}}[/tex]

[tex]|v| =\sqrt{4+1}[/tex]

[tex]|v| =\sqrt{5}[/tex]

Therefore, the correct option is C) [tex]\sqrt{5}[/tex]

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y= -6x + 6
y= 3x - 3

Answers

Answer:

  one solution: (x, y) = (1, 0)

Step-by-step explanation:

See below for a graph with the one solution identified.

Answer:

The system has one solution at (1,0).

Step-by-step explanation:

Consider the provided system of equations

y=-6x+6

Substitute x = 0 in above equation.

y=-6(0)+6

y=6

The coordinate is (0,6)

Now substitute y=0 in the above equation.

0=-6x+6

-6=-6x

x=1

The coordinate is (1,0)

Now use the coordinates (0,6) and (1,0) in order to draw the graph.

The graph of y= -6x + 6 is shown in figure 1.

Similarly, consider the second equation y= 3x - 3

Substitute x = 0 in above equation.

y=3(0)-3

y=-3

The coordinate is (0,-3)

Now substitute y=0 in the above equation.

0=3x-3

3=3x

x=1

The coordinate is (1,0)

The graph of y= 3x - 3 is shown in figure 2.

Now draw the graph of both equation as shown in figure 3.

By observing the graph it can be concluded that the system has one solution at (1,0)

Hence, the system has one solution at (1,0).

A triangle has an area of 72 square inches. If the base of the triangle has a length of 18 inches, what is the height of the triangle? Use the formula for the area of a triangle: Area = (base)(height) Type a numerical answer in the space provided. Do not include the units or spaces in your answer.

Answers

Answer:

8 inches

Step-by-step explanation:

Area (A) of a triangle = [tex]\frac{1}{2}[/tex] × base (b) × height (h)

72 square inches = [tex]\frac{1}{2}[/tex] × 18 × h

9h = 72

h = 8 inches

Follow below steps:

The area of a triangle: A = 1/2 * base * height. Given area = 72 sq in and base = 18 in, we can calculate the height:

72 = 1/2 * 18 * height

height = 8 inches

A _____ is accepted to be true without proof, while a _____ is an assertion that can be proven using the rules of logic.A.theorem; problemB.given; postulateC.postulate; theoremD.theorem; postulate

Answers

Answer:

  C.  postulate; theorem

Step-by-step explanation:

While a "given" is taken as true without proof, and a "problem" sometimes involves an assertion that can be proven, the answer choices involving these terms are not correct here.

The dictionary definitions of "postulate" and "theorem" apply. It is useful to learn the meaning of these terms so you can understand problems and descriptions that use them.

URGENT PLEASE HELP ME WITH THIS MATH QUESTION

Answers

Answer:4

Step-by-step explanation: 6 times 6 divide by 9

Multiply the denominators across and Multiply the numerators across

x/6= 6/9

9x= 36

x= 4

Check answer by using substitution method

x/6= 6/9

4/6= 6/9

Divide by 2 for 4/6

Divide by 3 for 6/9

2/3= 2/3

Answer is x= 4

Solve the expression for x: (4 – 2) (x – 2) = 4x – 8 A. x = –2 B. x = 0 C. x = 6/5 D. x = 2

Answers

Answer:

Option D) x = 2

Step-by-step explanation:

(4-2)(x-2) = 4x - 8

Distribute and simplify 4-2

2(x-2) = 4x - 8

2x-4 = 4x -8

Subtract 2x on both sides and add 8 on both sies

4x - 8 = 2x-4

2x= 4

Divide 2 on both sides

x = 2

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square centimeters. A dart is randomly thrown at the dartboard.
Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?

Answers

Answer:

The probability that the dart lands inside the triangle is 0.25

Step-by-step explanation:

* Lets explain how to find the probability of an event

- The probability of an Event = Number of favorable outcomes ÷ Total

  number of possible outcomes

- P(A) = n(E) ÷ n(S) , where

# P(A) means finding the probability of an event A

# n(E) means the number of favorable outcomes of an event

# n(S) means set of all possible outcomes of an event

- P(A) < 1

* Lets solve the problem

- A rectangular dartboard has an area of 648 cm²

- The triangular part of the dartboard has an area of 162 cm²

- A dart is randomly thrown at the dartboard

- The dart lands in the rectangle

∴ The area of the rectangle is the set of all possible outcomes n(S)

- The probability P(A) that the dart lands inside the triangle

∴ The area of the triangle is set of favorable outcomes of an

   event n(E)

∵ P(A) = n(E) ÷ n(S)

∴ P(T) = area of the triangle ÷ area of the rectangle

∵ Area of the rectangle is 648 cm²

∴ n(S) = 648

∵ The area of the triangle is 162 cm²

∴ n(E) = 162

∴ P(T) = 162 ÷ 648 = 1/4 = 0.25

* The probability that the dart lands inside the triangle is 0.25


The measure of one angle of a right triangle is 44º more than the measure of the smallest angle. Find the measures of all
three angles.

Answers

Answer:

The sum of all angles of a triangle is equal to 180 degree.Now since it is a right angle triangle one angle is 90 degree.And the other one given is 44 degree.So the 3rd angle is 180 minus 90 plus 44 so it is equal to 46 degree .

Answer: 23, 67, 90

Step-by-step explanation: The measures of the three angles are 23, 67, 90

I know you don’t care how I got the answer so enjoy it!

NEED HELP WITH A MATH QUESTION

Answers

Answer:

x=6.6 cm

Step-by-step explanation:

The angle force at the point where the tangent touches the circle is 90° hence the  triangle is a right angle triangle . We can apply the Pythagorean relationship in this case

Given the hypotenuse as x+ 8.45  and the base as x and height as 13.5 then;

a²+b²=c²  .................where a=x  , b= 13.5 and c x+8.45

x² +13.5²= (x+8.45)²

x²+182.25=x²+8.45x+8.45x+71.4025

x²+182.25=x²+16.90x+71.4025-----------------collect like terms

x²-x²+ 182.25-71.4025=16.90x

110.8475=16.90x-------------------divide by 16.90 to remain with x

110.8475/16.90 = x

x=6.5590

x= 6.6 cm

X:6.6 cm is the answer

You dug a hole that was 8 feet deep. After taking a short break, you dug down 3 more feet in the same hole. When finished digging, a tractor accidentally filled the hole with 4 feet of dirt. How deep is your hole now?

Answers

7 feet.

8+3-4

8+3 is 11
11-4 is 7
Final answer:

The hole which was initially 8 feet deep and then extended by 3 more feet got partially filled by 4 feet of dirt by a tractor, resulting in a total remaining depth of 7 feet.

Explanation:

Your question is a simplifying numerical values scenario. First, you dug a hole that was 8 feet deep. Next, you dug an additional 3 feet, so you would add these two values together to get a total depth of 11 feet (8 + 3). Finally, a tractor accidentally filled 4 feet of the hole with dirt. Subtracting this from the total depth of the hole means your hole is now 7 feet deep (11 - 4).

Learn more about Solving Numerical Values here:

https://brainly.com/question/29092570

#SPJ3

which is an equation of the line containing the points (2, 5) and (4, 4) in standard form?

-2x+5y=12

2x+y=12

x+2y=12

-x+2y=8

Answers

Answer:

  x +2y = 12

Step-by-step explanation:

Try the given points in the given equations and see what works.

  -2x + 5y at (2, 5) is -2(2) +5(5) = 21 ≠ 12

) +)   2x + y at (2, 5) = 2(2) +(5) = 9 ≠ 12

  x + 2y at (2, 5) = 2 +2(5) = 12 . . . . . goes through first point

  x + 2y at (4, 4) = 4 + 2(4) = 12 . . . . goes through second point

__

You know the answer at this point, so the next check is just for "completeness." It is not necessary to properly answer the question.

  -x +2y at (2, 5) = -(2) +2(5) = 8 . . . . goes through first point

  -x +2y at (4, 4) = -(4) + 4(4) = 4 ≠ 8 . . . does not go through second point

Outline the steps for taking cross sections of a rectangular prism.

Answers

Answer:

find a suitable cutting toolcut the prism on the plane of interest

Step-by-step explanation:

A cross section is the intersection of a cut plane with the object of interest. In a classroom setting, we often try to do the cross sectioning mentally or with diagrams, rather than physically cutting anything. Sometimes, there is no substitute for actually performing the cut to see what the cross section looks like.

For certain samples that don't take kindly to cutting, we sometimes encase them in a block of material that helps them hold their shape during the process. Sometimes the "cutting" is performed by grinding away the portion of the material on one side of the cut plane.

Answer: Place 3 points on 2 or 3 edges or faces.

Connect the points to form a triangle.

Extend the triangle to form a plane.

Determine where the plane intersects the edges of the solid.

Step-by-step explanation:

Complete the statement.

If a transversal intersects two parallel lines, then _____ angles are supplementary.

A.) acute

B.) corresponding

C.) same-side interior

D.) alternate interior

Answers

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

If a transversal intersects two parallel lines, then _____ angles are supplementary.

Since the sum of interior angle on the same side is supplementary.

Supplementary angles are those angles whose sum is 180°.

Hence, Option 'c' is correct.

If a transversal intersects two parallel lines, then alternate interior angles are supplementary.

Parallel lines and transversal intersections

When a transversal intersects two parallel lines, alternate interior angles are formed. Alternate interior angles are pairs of nonadjacent interior angles located on opposite sides of the transversal and between parallel lines.

These angles have equal measures and are supplementary, meaning they add up to 180 degrees. This property holds true for any pair of parallel lines intersected by a transversal, providing a relationship between the angles that helps in solving geometric problems and proofs.

More on parallel lines can be found here: https://brainly.com/question/29762825

#SPJ6

if RSTU is a rhombus?

Answers

The answer is B.

Rhombuses are defined as parallelograms with opposite equal sides and angles... all can be verified in a square however isn’t guaranteed to share all the same properties - thus it may or may not be a square

Answer:

It's B.

Step-by-step explanation:

It might be a square because  a rhombus is defined as a parallelogram with 4 equal sides. A square is a rhombus with each angle = 90 degrees and has 4 equal sides.

a and b have opposite directions, and they both have a magnitude of 7. What must be true about a and b? a. They are equal and parallel. c. They are opposites, but not parallel. b. They are equal, but not parallel. d. They are opposites and parallel.

Answers

Answer: Option d

They are opposites and parallel.

Step-by-step explanation:

Although they have the same magnitude, one can not say that a and b are equal because they have opposite directions.

If we know that both vectors have opposite directions then necessarily a and b must be parallel.

So what we know about a and b is that they are parallel and opposite.

The correct answer is the option d

Answer:

guy above is right

Step-by-step explanation:

What equation results from completing the square and then factoring? X 2 + 4x = 7 A. (x + 4)2 = 3 B. (x + 2)2 = 3 C. (x + 4)2 = 11 D. (x + 2)2 = 11

Answers

The answer is D and x=7

If ABCD is a rectangle, and m∠ADB=55°, what is the value of x?

Answers

Answer: OPTION D.

Step-by-step explanation:

Rectangles have four right angles (angles of 90 degrees).

The point of intersection of the diagonals divides each one of them into two equal parts.

Knowing this, we can conclude that:

[tex]m\angle c=m\angle b=55\°[/tex]

(Observe the figure)

Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":

[tex]x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°[/tex]

Answer:

70 degrees

Step-by-step explanation:

55*2= 110

180-110=70

James calculated the height of a cylinder that has a volume of 324pi cubic inches and a radius of 12 inches. His work is shown below.

Answers

For this case we have by definition that the volume of a cylinder is given by:

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

Where:

r: It's the radio

h: It's the height

We have as data that:

[tex]V = 324 \pi\\r = 12[/tex]

Substituting:

[tex]324 \pi = \pi * (12) ^ 2 * h[/tex]

We cleared h:

[tex]324 \pi = \pi * 144 * h\\324 = 144 * h\\h = \frac {324} {144}\\h = 2.25[/tex]

Thus, the height of the cylinder is 2.25 inches.

Answer:

[tex]h = 2.25[/tex]

Answer:

the anser is d

Step-by-step explanation:

Please answer this multiple choice question correctly for 30 points and brainliest!!

Answers

Answer:

A

Step-by-step explanation:

it has to do with the people's ethnics or standard or values.

The statement is not ambiguous so it has no language barrier

Answer:

  C.  use of language

Step-by-step explanation:

The descriptor "childish" will likely influence results. Most Grade 9 students prefer not to be thought of as "childish."

Need help with this math question

Answers

Answer:

x = 16

Step-by-step explanation:

From the first statement, we can say that:

Angle A is equal to angle D,

Angle B is equal to and E.

Since measure of Angle B and E are given and they are equal, we equate them and solve for x.

[tex]B=E\\x+15=6x-65\\15+65=6x-x\\80=5x\\x=\frac{80}{5}\\x=16[/tex]

Hence x = 16

A camper wants to know the width of a river. From point A, he walks downstream 60 feet to point B and sights a canoe across the river. It is determined that [tex]\alpha[/tex] = 34°. About how wide is the river?
A. 34 feet
B. 50 feet
C. 89 feet
D. 40 feet

Answers

Hello!

The answer is:

The correct option is:

D. 40 feet.

Why?

To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

[tex]Tan\alpha =\frac{Opposite}{Adjacent}[/tex]

Where,

alpha is the given angle, 34°

Adjacent is the distance from A to B, which is equal to 60 feet.

Opposite is the distance from A to C which is also equal to the width of the river.

So, substituting and calculating we have:

[tex]Tan(34\°) =\frac{Width}{60ft}[/tex]

[tex]Width=60ft*Tan(34\°)=60ft*0.67=40.2ft=40ft[/tex]

Hence, we have that the correct option is:

D. 40 feet.

Have a nice day!

Answer: OPTION D

Step-by-tep explanation:

Observe the figure attached.

You can notice that the the width of the river is represented with "x".

To calculate it you need to use this identity:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

In this case:

[tex]\alpha=34\°\\opposite=x\\adjacent=60[/tex]

Now you must substitute values:

 [tex]tan(34\°)=\frac{x}{60}[/tex]

And solve for "x":

[tex]60*tan(34\°)=x\\\\x=40.4ft[/tex]

[tex]x[/tex]≈[tex]40ft[/tex]

PLEASE HELP ME
A system of linear equations is graphed.

Which ordered pair is the best estimate for the solution to the system?
(1/2, 1)


(1, 1)


(0, 1/2)


(1/2, 0)

Answers

Answer:

(1/2, 0)

Step-by-step explanation:

The solution to a system of equations graphically is where they intersect on the graph.  In a coordinate, the x is first and the y is second.  Where our lines cross is ON the x-axis.  This means that y = 0 here.  Because we are to the right of the origin, we are in positive x values.  Because we are between x = 0 and x = 1, the best estimate from our choices is x = 1/2.  The coordinate for the solution is best represented by (1/2, 0)

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute. about 26 min about 24 min about 44 min about 30 min

Answers

Answer:

  about 26 min

Step-by-step explanation:

Let x represent the time spent rowing distance d upstream. Then the time spent rowing downstream is ...

  time = distance/speed . . . . speed × time = distance

  downstream time = (4.5 km/h)(x)/(5.5 km/h)

So, the total time in both directions is ...

  x + 4.5/5.5x = 48 min

  x(1 + 9/11) = 48 min

  x = (48 min)/(20/11) = 26.4 min

Rounded to the nearest minute, Toni spent about 26 minutes rowing upstream.

Other Questions
Why might collective bargaining fail, causing a union to go on strike?AThe union agrees with the boss about wages.BThe boss compromises about work hours.CThe factory goes out of business, causing the workers to lose their jobs.DThe boss refuses to address dangerous working conditions in the factories. Which country was the first to industrialize on the continent of Europe? Germany Britain Italy Belgium how to us the foil method for x2 + 16x + 48 enlightenment thinker John Locke believed that the government had an obligation to the people it governs to protect their natural rights. If the government failed to do this, then what did the people have the right to do? can someone help me with this one plz how did western ranchers and farmers get their products to eastern markets Explain why, with fast moving mobiles, speed is more dominant in characterizing the use mobility pattern than direction? What is the primary purpose of trading blocs, such as NAFTA, EU, and ASEAN? Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 - 6x + 5 y = x2 + 7x - 11 y = -x2 - 8x - 16 R All of the following contributed to the rise of Napoleon except:his military successes.his refined manners.the social connections of his wife, Josephine.the failure of The Directory to create a stable government. While traveling in France, Jim and his wife, both Americans, were concerned about how much they can afford to spend in Europe because sometimes the U.S. dollar will buy more goods and sometimes it will buy less, based on changing economic conditions. This change in the values of currencies and how they fluctuate in relation to each other is known as the ____ rate. which of these characteristics do a rhombus and a rectangle always have in common?A. all angles are right angles B. opposite sides with equal lengthC. all sides with equal lenght How could an accident impact production quality and affect your company's profits? select all answers that apply1- replacement raw materials may be difficult to find. 2 less experienced personnel may need to do the job. 3 increased safety measures usually stop production. 4 quality could slip in effort to make up for lost time at an amusement park, Robin bought a t-shirt for $8 and 5 ticket for ride. she spent a total of $23. How much did each ticket cost? Use the collision theory to explain how increasing the temperature of a reaction will affect the rate of the reaction. How does Shelleys account of her creative process reflect values of the Romantic Movement?A. The supernatural dominates human thought.B. Imagination dominates reason.C. Reason dominates illogical thoughts.D. The natural dominates the artificial. What is the apparent change in frequency of waves due to the motion of a source? Photoelectric effect Prismatic change Doppler effect Wavelength variability what characteristics did roosevelt have that made him popular with americans? The Pacific Islands that lie along tectonic plates _____.may have volcanic activityare uninhabitedmay not have agricultural economiesare located in the Tasman Sea in a solution the substance dissolved in the liquid is called the Steam Workshop Downloader