1.1. Which statement explains why the two systems of equations below have the

same solution?

A

6x + 8y = -10

2x - 5y = 12

B

8x + 3y = 2

12x + 16y = -20

Answers

Answer 1

Answer:

B. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

Step-by-step explanation:

If we add the first two equations that shown in A so

6x + 8y + 2x - 5y = -10 + 12

8x + 3y = 2

Now the first equation in A would be multiplied by 2

So

2(6x + 8y = -10)

12x + 16u = -20

Therefore the correct option is B.


Related Questions

PLEASE HELP,, A home decorator is adding new flooring to a living room using the blueprint shown.



image



What are the actual length and width of the living room? Show your work.

A.
7ft, 6ft

B.
14 ft, 10ft

C.
10ft, 8ft

D.
20ft, 16ft

Answers

The answer is 10 and 8 feet I hope you do good on this

Answer: 20ft, 16ft

Step-by-step explanation:

Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)

A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?

Answers

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

Omg please help it is due in 21 minutes please help me!!!!!

Answers

Answer:

Atleast 63

Step-by-step explanation:

Hope that helps!

What is the radius of a circle with a circumference of 81.64 feet.

Answers

Answer:

Step-by-step explanation:

Your answer

Circumference = 2 * π* r = 81.64

r = 12.99 → 13

Mark it as Brainlist answer. Follow me.

25 over 50 as a reduced fraction

Answers

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

I really need hel, please help​

Answers

Answer:

1. 3(x-4)-9= 3

  3x-12-9=3

  3x-21=3

  3x=24

  x=8

2. x=6

3. x=8

4. x=2

Answer:

Miscellaneous

Step-by-step explanation:

1. Distribute and simplify to get: 3x-12-9 = -3

Then combine like terms to get 3x-21 = -3

Add 21 on both side sto get 3x = 18

divide 3 on both sides to get x=6

2. x+5 = 11

Subtract 5 from both sides to get x = 6

3. 2x-3 = 13

Add 3 to both sides to get 2x = 16

Divide 2 from both sides to get x =8

4. 4(x+2) = 16

Distribute to get 4x+8 = 16

Subtract 8 from both sides to get 4x = 8

Divide 4 from both sides to get x=2

Susan Carver will purchase a home for ​$190000. She will use a down payment of ​18% and finance the remaining portion at ​4.2%, compounded monthly for 30 years

Answers

Answer:

$548053.69

Step-by-step explanation:

Cost of home = $190000

Down payment = 18%

Loan amount = (1 - 0.18) * 190000 = $155800

Rate, r = 4.2% = 0.042 ; compounded monthly for 30 years

Using the relation :

A = P(1 + r/n)^nt

n = number of compounding times per period = 12

A = 155800(1 + 0.042/12)^(12 * 30)

A = 155800(1.0035)^360

A = 155800 * 3.5176745

A = 548053.69

Final loan amount = $548053.69

1. Add the same number to both the numerator and the denominator of
the fraction 7/17, to change it to 3/5.​

Answers

Answer:

8

Step-by-step explanation:

Let x be the number added to both numerator and denominator.

Initial fraction=7/17

After adding x to both the numerator and the denominator

Then ,we get fraction=3/5

We have to find the value of x.

According to question

[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]

[tex]5(7+x)=3(17+x)[/tex]

[tex]35+5x=51+3x[/tex]

[tex]5x-3x=51-35[/tex]

[tex]2x=16[/tex]

[tex]x=\frac{16}{2}=8[/tex]

I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and solve it to describe the range of possible numbers

Answers

Answer:

[tex]3x-10<5\\x<5[/tex]

Step-by-step explanation:

Let x be equal to the number.

We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:

[tex]3x-10<5[/tex]

To find the range of possible values, we must solve the inequality and isolate x.

[tex]3x-10<5[/tex]

Add 10 to both sides

[tex]3x-10+10<5+10\\3x<15[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]

I hope this helps!

Solve: -2x - 5 = -3
plz help me hurry

Answers

Answer:

x=-1

Step-by-step explanation:

-2x - 5 = -3

add 5 to both sides

-2x = 2

divide both sides by -2

x = -1

Answer:

x = -1

Step-by-step explanation:

-2x - 5 = -3

Same to both sides:

-2x = -3 + 5

Simplify:

-2x = 2

Divide by -2 on each side to isolate x:

x = -1

Let me know if you have any questions

In the figure above, PQRS is a circle. If PQT and SRT
are straight lines, find the value of x.

Answers

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]

[tex]81^\circ+m\angle QRS=180^\circ[/tex]

[tex]m\angle QRS=180^\circ-81^\circ[/tex]

[tex]m\angle QRS=99^\circ[/tex]

Now, SRT  is a straight line.

[tex]m\angle QRT+m\angle QRS=180^\circ[/tex]             (Linear pair)

[tex]m\angle QRT+99^\circ=180^\circ[/tex]

[tex]m\angle QRT=180^\circ-99^\circ[/tex]

[tex]m\angle QRT=81^\circ[/tex]               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]

[tex]x=81^\circ+22^\circ[/tex]

[tex]x=103^\circ[/tex]

Therefore, the value of x is 103 degrees.

What kind of clues do fossils tell about animals that lived long ago?

Answers

Answer:

if they start to brown

Step-by-step explanation: They are white if they are new brown if old

Answer:

By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.

Step-by-step explanation:

When is the graph of f (x) = 2x2 – 5x – 3 negative?​

Answers

9514 1404 393

Answer:

  -1/2 < x < 3

Step-by-step explanation:

First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.

  f(x) = 2x^2 -5x -3

  f(x) = 2x^2 -6x +x -3

  f(x) = 2x(x -3) +1(x -3)

  f(x) = (2x +1)(x -3)

The x-intercepts are the values of x that make these factors zero:

  2x +1 = 0   ⇒   x = -1/2

  x -3 = 0   ⇒   x = 3

The graph of f(x) is negative on the interval ...

  -1/2 < x < 3

What is the difference between the profits Mr. Brown's store earned in the first quarter and the third quarter?

Answers

Answer:

Hi we need a picture or a chart.

Step-by-step explanation:

Answer:

2,411.44

Step-by-step explanation:

I need help with B. Do you I think this will mean the end of life on earth?

Please answer ASAP

Answers

Answer:

yes

Step-by-step explanation:

What is the solution to the equation sqrt 2x+3 minus sqrt x+2=2? x =

Answers

Answer:

x= 1/4 or 0.25

Answer:

23

Step-by-step explanation:

on edg

A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60​, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.

Answers

A particular country has 60 total states. if the areas of all 60 states are added and the sum is divided by 60​, the result is 212 comma 469 square kilometers. determine whether this result is a statistic or a parameter.
Answer: Before solving the given question, let us understand what the parameter and statistic is:
Parameter: Parameter is a number that summarizes data for an entire population. Like Population mean Population standard deviation
Statistic: Statistic is a number that summarizes data for a sample. Like sample mean sample standard deviation .
From the given information, we can clearly see that given characteristic describes the population.
Therefore, the option d is correct
d. the result is a parameter because it describes some characteristic of a population. is correct.

Explanation: https://brainly.com/question/10888941

ABC is similar to XYZ. The length of AB is 3 inches. The length of BC is 5 inches. The length of YZ is 13 inches. What is the length, in inches of XY

Answers

Answer:

7.8

Step-by-step explanation:

Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.​

Answers

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

Find a possible solution to the equation cos(x+2) = sin(3x)

A. x=0.5
B. x=1
C. x=22
D. x=44

Answers

Answer: C. x=22

Step-by-step explanation:

cos(22+2)= 0.913545457

sin(3*22)= 0.913545457

So, cos(x+2)=sin(3x)

The answer to your question is c!

Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?

Answers

Answer:

36.45

Step-by-step explanation:

5.50 × 3 = 16.5

16.5 + 19.95 = 36.45

sorry if wrong.

hope it helps.

HELP ANSWER FAST!!!!

Answers

Answer:D=5,6,7,8 R=5,6,7,8  fuction= yes

Step-by-step explanation:

D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction

D = 5,6,7,8
R = 5,6,7,8
Function? Yes

how many odd integers are between -20 and 10?

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

The given range of numbers is -20 to 10, so is 10-(-20)+1 = 31 numbers. Since the end points of the range are both even, there is one more even number than there are odd numbers in the range. The number of odd numbers is ...

  (31 -1)/2 = 15

There are 15 odd numbers between -20 and 10.

there are 15 odd integers between -20 and 10

in the pond were 240 little fish and 90 big fish. what was the ratio of big fish to little fish

Answers

Answer:

266.66666667%

Step-by-step explanation:

240 / 90 = 266.666666666667%

Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm

Answers

area= b*h              

82.* 16.6

area= 1361.2     since i dont know the number after the decimal in 82. that was the only answer i could give

What is the value of x in the equation 6x + 3 + 4x =
(9 + 10x)?
Enter your answer in the box.
2
TIL
CON
4
6
7
8
CO

Answers

9514 1404 393

Answer:

  x = 3/10

Step-by-step explanation:

Given

  6x +3 +4x = 1/2(9 +10x)

We can collect term, then multiply by 2.

  10x + 3 = (1/2)(9 +10x)

  20x + 6 = 10x + 9 . . . . . . . multiply by 2

  10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)

  x = 3/10 . . . . . . . . . . . . . . . divide by 10

_____

Check

  6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))

  1.8 + 3 + 1.2 = 1/2(9 +3)

  6 = 6 . . . . . solution checks OK

The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8

Answers

Answer:

i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.

the answer is then "A"

Step-by-step explanation:

The triangle whose sides are √13, 6, and 7, is a right triangle.

What is the right triangle?

A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.

Pythagorean Theorem :

The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.

Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,

r² = p² + q².

How to solve this problem?

We just check which triangle's sides follow the above theorem.

Option A (Triangle with sides √13, 6, and 7 ):

13 + 36 = 49

i.e. (√13)² + 6² = 7²

This triangle's sides follow the Pythagorean Theorem.

So, the triangle with sides √13, 6, and 7 is a right triangle.

Option B (Triangle with sides 7, 8, and 13 ):

49 + 64 ≠ 169

i.e. 7² + 8² ≠ 13²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 7, 8, and 13 is not a right triangle.

Option C (Triangle with sides 10, 11, and 12 ):

100 + 121 ≠ 144

i.e. 10² + 11² ≠ 12²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides 10, 11, and 12 is not a right triangle.

Option D (Triangle with sides √10, 9, and 8 ):

10 + 64 ≠ 81

i.e. (√10)² + 8² ≠ 9²

This triangle's sides do not follow the Pythagorean Theorem.

So, the triangle with sides √10, 9, and 8 is not a right triangle.

Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.

Know more about right triangles here -

https://brainly.com/question/481046

#SPJ2

list the 3 square number that end with the digit 9​

Answers

Answer:

Answer is 9,49,169

Step-by-step explanation:

I hope it's helpful!

Have a nice day!

I need the point and the slope Y-5=1/2(x+3)

Answers

Answer: Slope: 1/2 Point: (0, 3/2)

Step-by-step explanation:

Find the scale factor of the small triangle to the large triangle.

Answers

Answer:

scale factor is: 2.25

Step-by-step explanation:

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