What is the solution to the system of linear equations?

2x + y = 7

x - 2y = 16

Answers

Answer 1

Answer:

Step-by-step explanation:

Reform the first equation: y = 7 - 2x; y = -2x + 7Reform the second equation: -2y = -x + 16; y = 0.5x + 8Equate: -2x + 7 = 0.5x + 8; -4x + 14 = x + 16; -3x + 14 = 16; -3x = 2; x = -[tex]\frac{2}{3}[/tex]Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y = [tex]\frac{25}{3}[/tex]Define S([tex]-\frac{2}{3} ; \frac{25}{3}[/tex])

Related Questions

Pleaseeeee neeeddd helppp asappp

Answers

ANSWER:

Segment TS is a Chord

If AR = 14 , then QS = 14 ×2 = 28

ATS is an Isosceles Triangle

HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME

need help!!!!!!!!!!!!!​

Answers

Answer:

3rd answer

Step-by-step explanation:

they all need to be parallel so that the angles are congruent

solve for x please help me

Answers

Answer:

wpowie

Step-by-step explanation:hhh

I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions

Answers

Answer:

Step-by-step explanation:

 *   *    *

let the middle digit is a letter.

as first and second letters are same so consider them as one letter.

It can be filled in 26 ways.

third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)

total number of ways=26×10=260 ways

again consider second place is a digit.

so consider second and third place as one digit.

it can be filled in ways=10

first place can be filled in ways=26

Hence number of ways=26×10=260

so total number of ways=260+260=520

9. A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the 1
ramp as a fraction in lowest terms? (Think rise over run.) *
12 ft
24 ft
O 12/24
O 24/12
O 1/2
0 2/1

Answers

Answer:

1/2

Step-by-step explanation:

12 is the rise 24 is the run

12/24 simplified is 1/2

The required slope of the given ramp is given by 1/2. Option C is correct.

Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2

Thus, the required slope of the given ramp is given by 1/2. Option C is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

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PLEASE HELP Which of the following are statistical questions?

I How many copies of the novel have been sold at each store this month?
II How many siblings do you have?
III How many cars are parked in the parking lot each day?
IV How old is your sister?
A.
I and II
B.
I and III
C.
III and IV
D.
Only I

Answers

Answer:

A.

I and II

is right answer

Find the area of the rectangle with the given base and height.
3 ft 3 in
The area of the rectangle is it?
(Type an integer or a simplified fraction.)
Plz help

Answers

Answer: Area = 108 in. or 3/4 ft.

Step-by-step explanation: The formula for the area of a rectangle is l•w (length times width).

To get the area, you need to convert the units of measurement to one or the other (either inches or feet) because you cannot multiply them unless they are the same.

To get the area in inches, you convert 3 ft. to inches which is 36 inches, and then multiply it by 3 inches. You will get that the area = 108 inches.

To get the area in feet, you convert 3 inches to feet which is 1/4 (or 0.25) feet and then multiply it by 3 feet which gives you area = 3/4 ft. (or 0.75 ft.). Hope this helps.

what is 48/37 as a mixed fraction?

Answers

Answer:

1 11/37 is the correct answer

Pls help me I'm stuck

Answers

Answer

72°

Step-by-step explanation:

[tex]because\ AC=AB\ therefore\ < ACB= < ABC=6x\\ And\ because\ the\ sum\ of\ the\ angles\ of\ a\ triangle\\ is\ 180\ .\\ therefore\ < ACB+ < ABC+ < CAB=180\ degrees\\ 3x+6x+6x=180\ degrees\\ 15x=180\ degrees\\ x=12\ degrees\\ < ABC=6x=6\times12\ degrees=72\ degrees[/tex]

I hope this helps you

:)

Answer:

∠ABC = 72°

Step-by-step explanation:

When we look at the triangle carefully, we can see a bar on AC and AB. Those bars define that AC and AB are equivalent. This also means that the triangle is isosceles. Since this triangle is isosceles, the base angles of the triangle are equivalent.

⇒ AB = AC

We also know that the sum of its interior angles must be 180°.

⇒ ∠A + ∠B + ∠C = 180

Let's substitute their angle measures.

⇒ 3x + 6x + 6x = 180                                         [∠BAC = 3x; ∠ABC = ∠ACB = 6x]

Now, let's solve for x.

⇒ 3x + 6x + 6x = 180

⇒ 15x = 180

⇒ 15x/15 = 180/15

x = 12

Now, substitute the value of x into "6x" to find ∠ABC.

∠ABC = 6x

⇒ ∠ABC = 6(12)

∠ABC = 72°

A d = 15
B c= 30
C b = 20
D a=9

Answers

Answer: A, C, D

Step-by-step explanation:

How to solve x/2-y/3=1, x-y/4=4 using method of elimination​

Answers

Answer:x+y=14        .....(1)x−y=4         ......(2)On adding 1 and 2, we get,2x=18x=9Putting this value in equation 2, we get,9−y=4y=5Hence, x=9 and y=5.

Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.

Answers

Answer:

[tex]x[/tex] intercept is at (6, 0).

[tex]y[/tex] intercept is at (0, 2).

Step-by-step explanation:

Given the equation of graph:

[tex]3x+9y=18[/tex]

To find:

[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.

Solution:

[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.

[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.

Putting [tex]y=0[/tex] :

[tex]3x=18\\\Rightarrow x = 6[/tex]

So, [tex]x[/tex] intercept is at (6, 0).

Putting [tex]x=0[/tex] :

[tex]9y=18\\\Rightarrow y = 2[/tex]

So, [tex]y[/tex] intercept is at (0, 2).

Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.

PLEASE HELP!! ILL MARK BRAINLYEST!!!


Solve the equation.

-5 = b - 2.3

b =

Answers

Answer:

b = -2.7

Step-by-step explanation:

Isolate the variable, b

-5 = b - 2.3

add 2.3 to both sides (to isolate variable b)

-5 + 2.3 = b - 2.3 + 2.3

-2.7 = b + 0

-2.7 = b

Check work:

-5 = -2.7 - 2.3

-5 = -5

Correct

What number has the same absolute value as 47

Answers

Answer:

-47

Step-by-step explanation:

7. Angle A and Angle B are congruent. The measure
of Angle A is 2x + 3. The measure of Angle B is 3x –
5. Solve for x. What is the measure of each Angle?

Answers

Answer:  x = 8, each angle is 19 degrees

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

Work Shown:

angle A = angle B

2x+3 = 3x-5

3+5 = 3x-2x

8 = x

x = 8

angle A = 2x+3

angle A = 2*8+3

angle A = 16+3

angle A = 19

angle B = 3x-5

angle B = 3*8-5

angle B = 24-5

angle B = 19

Both angles are the same measure (19), which confirms our answer.

Answer:

X=8

Step-by-step explanation:

2x+3=3x-5. subtract 2x from both sides

3=x-5.  add 5 to both sides

3+5=x

x=8

please help solve this problem evaluate ³√8

Answers

Answer:

the answer is 2

Step-by-step explanation:

re right 8 as [tex]2^3[/tex]= 3 √ [tex]2^3[/tex]

Pull terms out from under the radical, assuming real numbers. =2

What is the answer for 20−2⋅7+1−(−3)+10

Answers

Answer:

20

Hope that helps!

Answer:

2

Step-by-step explanation:PEMDAS first multiply 2 and 7 you get 14 then add 1 that's 15 then add 10 that's 25 after that subtract 20 thats 5 then subtract 3 that's 2

1. How does the distance formula help me know if two or three sides of a triangle are equal?​

Answers

If we consider what the distance formula really tells you, we can see the similarities. It is more than just a similar form.
The distance formula is commonly seen as:
D= √(x1−x2)2+(y1−y2)2
We commonly write the Pythagorean Theorem as:
c= √a2+b2
Consider the following major points (in Euclidean geometry on a Cartesian coordinate axis):
The definition of a distance from
x
to ±c is |x−c|
.
There is the relationship where
√(x−c)2=|x−c|=x−c
AND −x+c
The distance from one point to another is the definition of a line segment.
Any diagonal line segment has an
x
component and a
y
component, due to the fact that a slope is
Δy/Δx
. The greater the
y
contribution, the steeper the slope. The greater the
x
contribution, the flatter the slope.
What do you see in these formulas? Have you ever tried drawing a triangle on a Cartesian coordinate system? If so, you should see that these are two formulas relating the diagonal distance on a right triangle that is composed of two component distances
x
and
y
.
Or, we could put it another way through substitutions based on the distance definitions above. Let:
x1−x2=±ay1−y2=±b

(depending on if x1>x2 or x1

A 0.32-kg ball is moving horizontally at 30 m/s just before suddenly bouncing off a wall Just after the bounce, it is moving horizontally at 25 m/s but in the opposite direction. DOK 1 (4 marks) (a) What is the magnitude of the change in momentum of the ball during the bounce? (b) What percentage of the ball's original kinetic energy was lost in the collision?

Answers

We will see that the change in momentum is P' - P = -17.6 kg*m/s, and the percentage of kinetic energy lost is 30.56%.

How to get the change in momentum?

The momentum is given by the product between the mass and the speed.

So the original momentum is:

P = 0.32kg*30m/s = 9.6 kg*m/s

After the bounce, the new velocity is -25m/s, then the new momentum is:

P' = 0.32kg*-25 m/s = -8 kg*m/s

The change in momentum is:

P' - P = -8 kg*m/s - 9.6 kg*m/s = -17.6 kg*m/s

How to get the change in kinetic energy?

The kinetic energy is:

KE = (1/2)*M*v^2

The initial kinetic energy is:

KE = (1/2)*0.32kg*(30 m/s)^2 = 144 J

The final kinetic energy is:

KE =  (1/2)*0.32kg*(-25 m/s)^2 = 100 J

The percentage lost is:

P = 100%*(144 J - 100J)/(144 J) = 30.56%

If you want to learn more about the momentum, you can read:

https://brainly.com/question/7538238

You start at (0, -1). You move left 3 units and right 6 units. Where do you end?

Answers

you would end up at (3,-1)
moving left and right is the x
moving up and down is the y

please help me please bro

Answers

Answer:

point D

Step-by-step explanation:

D because -1 has to be the x value and the only point with the x value of -1 is point D

A company advertises that all of its bottles will now contain 20% more shampoo. jill writes the expression x+0.2x to represent how many ounces of shampoo will now be in a bottle that originally had x ounces. which expression also shows an increase by 20%

Answers

The third expression

Find the equation of the linear function represented by the table below in slope-intercept form.

x y
-4 0
1 5
6 10
11 15

Answers

Answer:

the desired equation is y = x + 4.

Step-by-step explanation:

Slope is defined as m = rise over run.  Run is the change (usually an increase) in x, and rise an increase or decrease in y.

We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5).  Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.

Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:

5 = 1(1) + b, or b = 4.

Therefore the desired equation is y = x + 4.

which of the following numeral expressions may represent the probability of a simple event?

Answers

Which of the following numerical expressions may represent the probability of a simple event? A.1/2 B.1/2+1/6 C.1/6+1/6 D.1/2*1/6 (is this the full question)

If 5 a = 45, ba= 1, then b=​

Answers

Answer:

1/9

Step-by-step explanation:

5a=45

divide it by 5 and a will =9

9b=1

divide 1 by 9

you get 1/9=b

therefore 9x1/9=1

An employee at a clothing store makes $12.75 per hour plus a 5.75% commission on sales. This week she worked 45 hours and her sales were $12,675. How much did she earn this week?​

Answers

Answer:$1,302.56

Step-by-step explanation:

First you must find the amount she made from working her hours.

$12.75 x 45(hours)=$573.75

Next you must find how much she made from her commission on sales.

$12,675 x 0.0575(5.75% converted to a decimal)=728.8125.

Round 728.8125 to the nearest hundredth to get $728.81.

Add these two numbers together.

$728.81+$573.75=$1,302.56

Answer:

$1,302.56

Step-by-step explanation:

You must first determine how much she earned throughout her working hours.

$12.75 multiplied by 45 hours equals $573.75.

The next step is to determine how much she earned from her sales commission.

728.8125 = $12,675 x 0.0575(5.75 percent converted to a decimal).

To get $728.81, round 728.8125 to the nearest hundredth.

These two integers should be added together.

$728.81+$573.75=$1,302.56

Solve in base 2 1111+1101+101​

Answers

Answer:

100001

Step-by-step explanation:

First, convert the three numbers to base 10. 1111=15, 1101=13, and 101=5. Now, add the numbers up in base ten. 15+13+5=33. Lastly, convert 33 to base 2. 33=100001 in base 2.

A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. Results are shown in the table below, but some values are missing. Fill in the missing values.

Answers

The missing values for the given two-way table are shown in the image attached below (see attachment).

What is a Two-way Table?

A two-way table can be described as table that shows the frequencies of two categorical variables in rows and columns respectively.

To find the missing values in the two-way table that is given, simply subtract a known value from the corresponding given total of a row or column.

Thus:

First row total for print and electronics = 33 + 24 = 57

Second row for electronics = 48 - 24 = 24

Second row total for print and electronics = 32 + 24 = 56

Column total for print = 33 + 32 = 65

Third column for grand total = 57 + 56 = 113

Therefore, the missing values for the given two-way table are shown in the image attached below (see attachment).

Learn more about two-way table on:

https://brainly.com/question/20744563

3
4
5
Enter the appropriate word(s) to complete the statement.
base
perfect cube
rational number
cube root
perfect square
repeating decimal
exponent
power
scientific notation
irrational number
radical sign
square root
monomial
real number
terminating decimal
6
7
18
Choose the correct term from the two choices given which makes the statement true.
(Scientific notation, Square root) is a compact way of writing numbers with absolute values
that are very large or very small.

Answers

Answer:

The answer is scientific notation

Step-by-step explanation:

The definition of scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form.

I hope this helps :)

Determine the number and type of solutions of the quadratic
equation.
4x2 – 3x + 1 = 0
O one real solution
O two imaginary solutions
O one imaginary solution
O two real solutions

Answers

Answer: Choice B

Two imaginary solutions

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

Explanation:

The given equation is

4x^2 - 3x + 1 = 0

Compare this to the general quadratic

ax^2 + bx + c = 0

to find that a = 4, b = -3, c = 1.

Plug those values into the discriminant formula below.

d = b^2 - 4ac

d = (-3)^2 - 4*4*1

d = 9 - 16

d = -7

Then recall that...

If d > 0, then we have two real solutions.If d = 0, then we have only one real solution.If d < 0, then we have two imaginary solutions.

We see that d = -7 fits with the third option highlighted above.

4x2 – 3x + 1 =

0 one real solutiontwo imaginary solutionsone imaginary solutiontwo real solutions→ two imaginary solutions
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