Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next

Answers

Answer 1

Answer:

  D. (-3, 26)

Step-by-step explanation:

The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)

We can rearrange the first equation to give an expression for y:

  y = 17 -3x

This can be substituted into the second equation to give ...

  x +2(17 -3x) = 49

  -5x +34 = 49 . . . . . . simplify

  -5x = 15 . . . . . . . subtract 34

  x = -3 . . . . . . divide by -5

Then the value of y is ...

  y = 17 -3(-3) = 26

The single solution is (x, y) = (-3, 26).

Select The Correct Answer.Which Statement Best Describes The Solution To This System Of Equations?3x

Related Questions

Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.​

Answers

Answer:

mm

Step-by-step explanation:

Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330

Answers

Answer:

roughly 58

Step-by-step explanation:

the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:

429+38=467

467÷8=58.375 (round up)

Answer:

about 59 weeks

Step-by-step explanation:

Find the 8th term of the G.P 9,3,1,​

Answers

Answer:

a=9 , d=6 n=8

a+(n-1)d = an

9+(8-1)6 = an

9+7×6 = an

9+42 = an

51 = an

PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.

Answers

Answer:

Step-by-step explanation:

y = 5x - 2

5x = y + 2

x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]

y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2

5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions

30 points and brainliest answer asap pls

Answers

Answer:

ed - 7e = 4d + 3

ed - 4d = 3 + 7e

d( e - 4) = 3 + 7e

d = (3 + 7e)/( e - 4 )

answer please i’m currently crying

Answers

Answer:

rotation around the origin 90 degrees ccw

Step-by-step explanation:

Find the measure of angle A.
4x
135°
5x
A

Answers

Using this equation:

[tex]4 \times + 5 \times + 135 = 180[/tex]

We can solve for X:

[tex]9 \times + 135 = 180 \\ 9 \times = 45 \\ \times = 45[/tex]

Multiply this value of x to 4 and 5 to get the other two angels.

How to find if a triangle is obtuse acute or right.

Answers

Right triangles will always have a 90 degree angle in them. If your unsure of what a 90 degree angle is; try imagining a square, the corners of the square will all be 90 degrees resembling an L shape.
Example of possible angles(right): 90, 70, 20

Referring back to right angles, Obtuse triangles will always consist of one angle wider than 90 degrees.
Example of possible angles(obtuse): 120, 30, 30

And finally for acute triangles all angles in the triangle will be less than 90 degrees.
Example of possible angles(acute): 50, 70, 60

As far as differentiating the triangles, you should be able to tell by looking at them, if they are right they’ll have 1 L shape, if they are obtuse they will have one wide angle, and if they are acute all angles will be smaller than the L shape. If it’s not clear by looking at the triangles, you could always use a tool such as a protractor.

Hope this helps- S

help need it done for tomorrow ​

Answers

Step-by-step explanation:

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being opposite to the angles.

so,

14/sin(80) = x/sin(60)

x = 14×sin(60)/sin(80) ≈ 12.3cm

Find the percentage change of the first quantity with reference to the second quantity: 72 units, 60 units.

Answers

Answer:

Step-by-step explanation:

120 percent,

because if you divide by 6, you will get 10:12 and if you make the 10 a 100, you multiply both by 10, so 12 x 10 = 120 which means it is 20 percent because you have to subtract 100 from the quantity. so it is 20 percent

*Or 120 percent, I dont know though*

Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters

Answers

Answer:

Lindsey, who is delivering her speech in a large auditorium

Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

on a map, 1 inch equals 25 miles. If two cites are 4 inches apart on the map, how far are they actually apart?

Answers

Answer: They are 100 miles apart

Step-by-step explanation:

1 inch = 25 miles

4x25=100

Answer: 100 miles

Step-by-step explanation:

Since we have 25 miles per inch. and there are 4 inches, you would multiply 25 by 4 to get to your answer of 100 miles.

25x4=100

Math may be hard but you gotta learn to get smarter

Answers

Very true, math is still very difficult tho

I hate math sm I can’t understand any of this even though its probably so simply

Answers

Me tooo it makes no sense that’s the whole reason I got this app lol

A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work

Answers

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

Urgent! Someone please answer! Will give Brainliest!


4 cm

x cm

The area of rectangle ABCD is 28 cm2

B

B

a) What is the length of side AB in terms of x?

6 cm

length of AB =

(1)

x cm

D

с

b) If the area of rectangle ABCD is 28 cm,

we can show that x2 + ax = b where

a and b are integer values.

Work out the values of a and b.

b

a =

(1)

b=

(1)

Total marks: 3

Answers

Step-by-step explanation:

it is the most easiest answer we get 566474 I think this will help you

if r*s= sr then 3*2=

Answers

Using the comparison given in the question, the value of 3*2 = 23

From the question given :

We can set up a comparison thus :

r*s = sr

Here,

3*2

r = 3 ; s = 2 r = first value in the expression s = second value in the expression

r*s = sr

Then

3*2 = 23

Therefore, the value of 3*2 = 23

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Help homework due soon!!!

Solving a word problem using a system of linear equations:

Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?

Answers

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

[tex]\mathbf{B = \frac 13}[/tex]

Substitute 1/3 for B in 2A + 3B = 4

[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

[tex]\mathbf{A = 1\frac 12}[/tex]

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

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what is the best guess the weight of the cube if the length in 9 inches ?

Answers

Abut 12 pounds but it is unclear what kind

Mr. Lee's plant is 5 1/2 inches tall. It is 1 7/10 inches taller than Sally's plant.

How tall is Sally's plant?

Enter your answer as a simplified mixed number by filling in the boxes.
please answer!!! i need to get a A on this unit test

Answers

The height of Sally's plant in mixed fraction form will be equal to 3 4/5 inches.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Height of Lee's plant = 5 1/2 = 11/2

Let the height of Sally's plant be x.

Lee's plant is 1 7/10 taller than Sally's plant.

Then, the height of Sally's plant will be,

x = 11/2 - 17/10

Take LCM as 10

x = (55 - 17)/10

x = 38/10 = 19/5 inches

It can be written in the mixed fraction form as 3 4/5.

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2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80

Answers

Answer: Her total amount is $964.80

1928

Step-by-step explanation:

964+964  once s

Why rectangular coordinates are better than polar.

Answers

Answer:

Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.

How many solutions does this equation have. 3x + 99 = 3 (x + 33)

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

3x + 99 = 3 (x+33)

distribute 3 to x and 33

3 * x = 3x

3 * 33 = 99

3x + 99 = 3x + 99

If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions

-14 + -8/9 is equivalent to?

Answers

equal in force, amount, or value also : equal in area or volume but not superposable a square equivalent to a triangle. 2a : like in signification or import. b : having logical equivalence equivalent statements. 3 : corresponding or virtually identical especially in effect or function.

C+3/8=1 1/3

(3/8 Is a fraction, and so is 1/ 13)
(Solve for C)

Answers

Answer:

see below

Step-by-step explanation:

c+9/24=32/24 so c=23/24

Answer:

C = 23/24

Step-by-step explanation:

Step 1: Convert 1 1/3 to an improper fraction.

[tex]C + \frac{3}{8} = 1 \frac{1}{3}[/tex] [tex]C + \frac{3}{8} = \frac{4}{3}[/tex]

Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.

[tex]C + \frac{9}{24} = \frac{32}{24}[/tex]

Step 3: Subtract 9/24 from both sides.

[tex]C + \frac{9}{24}-\frac{9}{24}=\frac{32}{24} - \frac{9}{24}[/tex] [tex]C = \frac{23}{24}[/tex]

Therefore, C = 23/24.

Solve this equation by elimination method...

2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)

Answers

Answer:

x=2,y=-3

Step-by-step explanation:

detailed explanation showed in the image above

A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?

Answers

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

The unit rate or rate of change of gallons per week will be 4.2 gallons/week.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

12 gallons in every 20 days,

The unit rate per day will be as,

12/20 = 0.6 gallons per day

It is known that, 1 week = 7 days,

Unit rate per week = 0.6 x 7 = 4.2 gallons/week

Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".

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i need help! ill give brainliest

Answers

Answer:

They are both correct

Step-by-step explanation:

Both options mean the same thing and will give the same answer

16 x [tex]\frac{1}{8}[/tex]

Answers

The answer is 2. Because 16/8 is 2.

Answer:

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Mary's allowance is based on the amount of time that she spends practicing different activities each week. This week Mary spent 12 hours practicing and earned $12.00.
Part A: Mary's time spent on activities is as follows: 1/5 practicing flute, 1/6 practicing Spanish, 1/2 playing soccer, and 2/15 practicing math. Write an equivalent decimal for the amount of time that she spent on each activity. If necessary, round to the nearest hundredth.

Answers

Answer:

Math: 1h 36 min

Flute: 2h 24 min

Soccer: 6h

Spanish: 2h

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