1. Consider the following system of equations.
x+y=5
2x-y=-2
The solution to the system of equations: (12,7)
Create a third equation that could be added to the system so that the solution does not change.

Answers

Answer 1

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5


Related Questions

Find the simple interest earned. $5,000 invested at 4% for 3 years. pls

Answers

Answer:

I don't get what your asking us to do

Step-by-step explanation:

Kyla alternates between walking and jogging on an 11-mile trail. Her walking speed is 4 mi/h, and her jogging speed is 6 mi/h. Kyla takes 2 hours to go from the beginning to the end of the trail. Write and solve an equation to find the distance Kyla walked and the distance she jogged.

Answers

Answer:

Kyla walked 2 miles and jogged 9 miles

Step-by-step explanation:

Let the distance Kyla walked be x

and the distance Kyla jogged be y

Since the trail is 11-mile long, then

x + y = 11

Now, from the question,

Her walking speed is 4 mi/h and her jogging speed is 6 mi/h

Let the time spent to walk be t₁ and the time spent to jog be t₂

From

Distance = Speed × Time

Then, the distance walked x is

x = 4 mi/h × t₁

and the distance jogged y is

y = 6 mi/h × t₂

From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is

t₁ + t₂ = 2 hours

∴t₁ = 2 - t₂

Since

x + y = 11, then we can write that

(4 mi/h × t₁) + (6 mi/h × t₂) = 11

But t₁ = 2 - t₂

Then,

(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes

(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11

8 - 4t₂ + 6t₂ = 11

2t₂ = 11 - 8

2t₂ = 3

t₂ = 3/2

t₂ = 1.5 hours

This is the time spent to jog

Then, from t₁ = 2 - t₂

t₁ = 2 - 1.5

t₁ = 0.5 hour

This is the time spent to walk

Now, For the distance Kyla walked, x

x = 4 mi/h × t₁

x = 4 mi/h × 0.5

x = 2 miles

Hence, she walked 2 miles

and for the distance Kyla jogged, y

y = 6 mi/h × t₂

y = 6 mi/h × 1.5

y = 9 miles

Hence, she jogged 9 miles

A popular board game manufacturer was interested in the relationship between the amount of time it takes to play a game and how well that game is rated among board game players. Information was collected on several board games, and was used to obtain the regression equation y = 27.273x + 18.182, where x represents time it takes to play (in hours) and y is the predicted rating of that game (in points). What is the predicted rating of a game that takes 90 minutes to play?

18.182 points
59.0915 points
90 points
2,472.752 points

Answers

Answer:

B- 59.015

Step-by-step explanation:

Answer:

The answer is B. I don't know why everyone downvoted the first answer. So here's some fancy work so you know its right.

90 minutes/1 hour = 1.5 hours [one hour = 60 minutes]

(you can only put hours in for x)

27.273(1.5) + 18.182 = 59.0915 (B)

==================

if you're looking for the question "What is the predicted rating of a game that takes 1 hour to play?" the answer is (C), 45.455 points".

[this is a separate question that is similar]

==================

ED2021

please help me with this.

Answers

Answer:

i think it is 130DE because you will use a protractor

Which of the following is a rational number?

Answers

Answer:

A, B, D are the answers

Step-by-step explanation:

1
What is the length of a
segment when the
coordinates of its endpoints
are (-4, 5) and (-6, 9)?
a) 5V2 units
b) 2V5 units
c) V2 units
d) 5
e) 10 units
V5 units

Answers

The answer would be. B) 2V5 units
The correct answer is B

what does “ z “ equal in this equation z + 18 = 26

Answers

Answer:8

Step-by-step explanation:

Answer:

z = 8

Step-by-step explanation:

you have to work it backwards. 26-18=8

Convert 10 quarts (qt) to cubic feet (ft^3)

Answers

Answer:

10 US liquid quarts is 0.334201 cubic feet.          

What is the slope of 8,2 & 8,4

Answers

Answer:

infinity

Step-by-step explanation:

No fr it is that i even double checked by looking it up

Evaluate the function for the indicated values of x.

function
f(−10) =

f(2) =

f(−5) =

f(−1) =

f(8) =

Answers

Answer:

-19

4

-9

1

-5

the last person got the last one wrong

A function assigns the value of each element of one set to the other specific element of another set. The value of f(8) is 5.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that is given is mentioned below. Now, the value of the function can be found as shown below.

A.) f(-10)=?

When the value x is -10, it will lie in the first category of the function, therefore, the function for this value of x will be,

[tex]f(x) = 2x+1\\\\f(-10) = 2(-10)+1\\\\f(-10) = -20+1 = -19[/tex]

B.) f(2) = ?

When the value x is 2, it will lie in the second category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x^2\\\\f(2) = 2^2 = 4[/tex]

C.) f(-5)=?

When the value x is -5, it will lie in the first category of the function, therefore, the function for this value of x will be,

[tex]f(x) = 2x+1\\\\f(-5) = 2(-5)+1\\\\f(-5) = -10+1 = -9[/tex]

D.) f(-1)=?

When the value x is -1, it will lie in the second category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x^2\\\\f(-1) = (-1)^2 = 1[/tex]

E.) f(8)=?

When the value x is 8, it will lie in the third category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x-3\\\\f(8) = 8-3 = 5[/tex]

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Complete the sentence.
A regular pentagon and a regular hexagon can intersect in
a line
a ray
a line segment
a rectangle
Submit

Answers

Answer:

A line segment

Step-by-step explanation:

(√5+√17i)(√5-√17i)=? (give answer in standard a+bi form)

Answers

Answer:

22

Step-by-step explanation:

Given

([tex]\sqrt{5}[/tex] + [tex]\sqrt{17}[/tex] i )([tex]\sqrt{5}[/tex] - [tex]\sqrt{17}[/tex] i ) ← expand factors using FOIL

= ([tex]\sqrt{5}[/tex] )² - ([tex]\sqrt{17}[/tex] )² i² ← i² = - 1

= 5 - 17(- 1)

= 5 + 17

= 22  

what expression is equivalent
6(3+6x)

Answers

Answer:

i think maybe    6*9x

Step-by-step explanation:

Step-by-step explanation:

So this is how it works

The bracket represents times. So, you have to times 6 to 3 and also 6x

Next, write down the values after times it. You will get 18+36x

NOTE: This is for expansion only

For factorisation

Bring the x to your right and bring the numbers to your left. Then calculate the value and that's your answer

Hope this is correct and helpful

HAVE A GOOD DAY!

Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm 20, start text, space, c, m, end text and width 16 \text{ cm}16 cm 16, start text, space, c, m, end text. The painting and frame together form a larger rectangle with length 25 \text{ cm}25 cm 25, start text, space, c, m, end text and width 20 \text{ cm}20 cm 20, start text, space, c, m, end text. Find the area of the frame.

Answers

Answer:

180cm²

Step-by-step explanation:

Area of the frame = area of the frame+ painting - area of painting.

Area of a rectangle = Length × Width

Area of the painting = 20cm×16cm

Area of the painting = 320cm²

Area of the paint+ frame = 25cm×20cm

Area of the paint+ frame = 500cm²

Area of the frame = 500cm²-320cm²

Area of the frame = 180cm²

Hence the area of the frame is 180cm²

DUDE IM GETTING MAD BECAUSE I KEEP FORGETTING THE IMAGE AND OMG PLEASE ANSWER IM BEGGING PLS

Answers

Let

x = number of tickets

y = cost

For each row, divide the cost over the number of tickets

Row one:  y/x = 3/2 = 1.5

Row two: y/x = 6/4 = 1.5

Row three: y/x = 9/6 = 1.5

Row four: y/x = 12/8 = 1.5

Row five: y/x = 15/10 = 1.5

The constant of proportionality is 1.5

This means each ticket costs $1.50

i need help with this geometry

Answers

Answer:

c

Step-by-step explanation:

use point slope form y-y1 = m(x-x1)

m = -1/2 because that would be perpendicular

then you plug in the numbers y-6= -1/2(x-4)

then solve for y so i will be in y=mx+b

Find The Value Of X.

Answers

Answer:

x= 46°

Step-by-step explanation:

Please see the attached picture for the full solution.

What evidence is there that a chemical reaction is taking place in the cold pack?
A)
change in odor
B)
change in color
0)
formation of gas
D)
temperature change

Answers

The correct answer would be D
D.) temperature change

help please with this question

Answers

Answer:

b. x - 2y = 4

Step-by-step explanation:

The two points on the graph are (0, -2) and (4, 0).

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

  = (0 - (-2)) / (4 - 0)

  = 2 / 4

  = 1 / 2

Find y intercept using anyone of the points above:

y = mx + b

-2 = 1/2(0) + b

b = -2

Use m and b to make equation of line:

y = mx + b

y = 1/2x - 2

Possible answers:

a. 4x - 2y = 4

         -2y = -4x + 4

             y = 2x - 2

b. x - 2y = 4

       -2y = -x + 4

           y = 1/2x - 2

c. -2x + 4y = -4

            4y = + 2x - 4

              y = 1/2x - 1

Only choice b equals the equation of line above.

28 point and branliest
Alan purchased 16 shares of company stock for $390.40. A month later, the total value of his shares fell to $291.20. What is the current price per share if each share costs the same?
A.
$6.20
B.
$18.20
C.
$24.04
D.
$24.40

Answers

Answer: $18.20

Step-by-step explanation:

390.40/16 to find the initial costs of the shares. That would be $24.40 per share. However, since the stock has fallen, you would do that same division, but with the new value. 291.20/16, which is $18.20

Answer:

$18.20 per share is the value of each stock currently

Step-by-step explanation:

Take the value the stocks are worth now and divide by the number of shares

291.20/16

$18.20 per share

$18.20 per share is the value of each stock currently

Find the vertex and vertex form of
the following:
f(x) = x^2 - 8x+9

Answers

Answer:

(4,-7)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex  ( h,k ) .

The Quadratic when written in factored form is (x-3)(x+9)=0. What are the roots?
3 and 9
-3 and 9
3 and -9
-3 and -9

Answers

Set both equal to 0
(x-3) = 0
x = 3
(x+9) = 0
x = -9
So 3 and -9

Lisa runs between 5 and 7 miles per day. It takes Lisa 10 minutes to run one mile. What is a reasonable amount of time that Lisa
spends running every day?

Answers

Answer:

50-70 minutes

Step-by-step explanation:

Brody invested $220 in an account paying an interest rate of 3.6% compounded
annually. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 17 years?

Answers

Answer:

400

Step-by-step explanation:

Delta

The amount after 17 years is $400

How to determine the amount after 17 years?

The given parameters are:

Principal, P = $220Rate, r = 3.6%Time, t = 17 years

The interest rate is compounded annually;

So, the amount after t years is:

A = P *(1 + r)^t

This gives

A = 220 * (1 + 3.6%)^17

Evaluate

A = 401.36

To the nearest ten dollars, we have:

A = 400

Hence, the amount after 17 years is $400

Read more about compound interest at:

https://brainly.com/question/24924853

i need help on this q ^^^

Answers

I think your answer would be 64, if im wrong, im sorry! Hope this helps! :D

A bag of snack mix weighs 12 ounces. A serving size is 3/4
ounce. Each serving has 120 calories.

Answers

Answer:

16 servings and 1920 calories in  1 snack bag

Step-by-step explanation:

12 ounces divided by 3/4 = 16 servings

120 calories/servings x 16 servings = 1920 calories in 1 snack bag

What is the missing statement for step 5?
m2 SQV = m_SQT
Om SQV + m2VQT = 180°
Om SQV + m2SQT = m_VQT
m

Answers

Answer:

m∠SQV + m∠VQT = 180°

Step-by-step explanation:

right on test.

Please help. I dont know how to do this

Answers

Answer:

y=3x+3

Step-by-step explanation:

3 is the slope, up 3 and right 1

3 is the y intercept

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Answers

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

Given that ∠A≅∠B, Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?


m∠A=10° and m∠B=15°

m∠A=45° and m∠B=45°

m∠A=30° and m∠B=60°

m∠A=25° and m∠B=25°

Answers

45 and 45 because they are equal and add up to 90 degrees
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