y=2x-1
y=1/2x+4
find the solution to the system equations

Answers

Answer 1

Answer:

x=10/3 y=17/3

Step-by-step explanation:

Use substitution to solve your equation. Plug in y=2x-1 into y=1/2x+4. This makes (2x-1)=1/2x+4. Simplify this to get 3/2x-1=4. Simplify it again to get 3/2x=5. No one likes fractions so multiply both sides by 2 to get 3x=10. Simplify this and get x=10/3. Plus 10/3 into one of the equations. You can pick anyone but I picked y=2x-1. Because you know x=10/3, you put y=2(10/3)-1. Simplify this and get y=20/3-1. Convert 1 into a fraction and get y=20/3-3/3. Simplify this and get y=17/3.

Therefore,

x=10/3 y=17/3

Hoped this helps you

Answer 2
2x-1=1/2x+4
2x-1/2x=5
3/2x=5
x=10/3
y=17/3
Y=2x-1y=1/2x+4find The Solution To The System Equations

Related Questions

Simplify completely and find the restrictions on the variable.​

Answers

Answer:

[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                          [tex]\displaystyle \frac{8(x - 2)}{x^2 - 13x + 22}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{8(x - 2)}{(x - 11)(x - 2)}[/tex][Fraction] Divide:                                                                                            [tex]\displaystyle \frac{8}{x - 11}[/tex]

We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.

Which of these systems of equations has one solution?

Answers

Answer: B

Step-by-step explanation:

the answer would be b, or y=0

what is aquifelent to 3 mi

Answers

What measurement do you need? For ft it's 15840

Answer:

I do not know

Step-by-step explanation:

I do not know

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

Please show the work.

1. A wheelchair ramp is 4.2 m long. I rises 0.7 . What is its angle of inclination to the nearest degree?

2. A person flying a kite has released 176 m of string and attached the end to the ground. The string makes an angle of 27 degree with the ground. How high is the kite? How far away is the kite horizontally? Answer to the nearest meter.

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{0.7}{4.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{0.7}{4.2}[/tex] ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{176}[/tex] ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{176}[/tex] ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Step-by-step explanation:

[tex]1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{0.7}{4.2}4.20.7 , then

x = sin^{-1}sin−1 (\frac{0.7}{4.2}4.20.7 ) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}hypotenuseopposite = \frac{y}{176}176y ( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}hypotenuseadjacent = \frac{x}{176}176x ( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

[/tex]

tell me you love me pls i need sum luv i spents alot of time doing this im doing another one but 100 pts

Answers

Answer:

I love you and i'm proud of you :)

A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as

shown. If the straw fits exactly into the box diagonally from the bottom left corner to

the top right back corner, how long is the straw? Leave your answer in simplest

radical form.

Answers

The length of the straw placed inside a rectangular box with 10 inches by 8 inches by 2 inches is 2√42 inches.

To find the length of the straw, we can use the Pythagorean theorem. The straw acts as the hypotenuse of a right-angled triangle formed by the three dimensions of the box (10 inches, 8 inches, and 2 inches).

Let the length of the straw be represented by 'l'.

According to the Pythagorean theorem:

[tex]l^2 = 10^2 + 8^2 + 2^2[/tex]

[tex]l^2 = 100 + 64 + 4[/tex]

[tex]l^2 = 168[/tex]

Take square root on both sides:

[tex]l = \sqrt{168}[/tex]

[tex]l = \sqrt{4 \times 42}[/tex]

[tex]l = 2 \times \sqrt{42}[/tex]

So, the length of the straw is 2√42 inches in simplest radical form.

To learn more on trigonometry click:

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Complete question:

A straw is placed inside a rectangular box that is 10 inches by 8 inches by 2 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

please help will mark you as brainiest


Rimo spends £588 on a plane ticket and $130 on airport tax. Using £1 = $1.34, what percentage of the total cost does Rimo spend on airport tax?

Give your answer rounded to 1 dp.

Answers

I think 98 is the answer

what is 1 x 5555 + -6779 . 55555

Answers

Answer:

−376601790

Step-by-step explanation:

1

5

5

5

5

6

7

7

9

5

5

5

5

5

5

5

5

5

6

7

7

9

5

5

5

5

5

Answer:

it's -1,224.55555

Step-by-step explanation:

1 x 55,555 = 55,555

55,555 + -6779.55555 = -1224.55555

hope this helps...

Find AC.
B
7x-6
6x +4

Answers

answer:

put a picture of the question, it is easier to understand that way.

Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny

Step-by-step explanation:

Danny charges less because he only charges $30 for 3 hours of swimming lessons while Martin charges $38 for only 2 hours of swimming lessons.

Help and explain

Don’t use for points or I will take it back

Answers

Step-by-step explanation:

step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)

step 2. x + 90 + 127 = 360

step 3. x + 127 = 270. (subtract 90 on both sides)

step 4. x = 143° (subtract 127 on both sides)

)A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.

Answers

Answer:

If the bag contained 20% of blue marbles and 50% of green marbles than that would mean the bag would contain 30% of red marbles. The probability of picking a red marble from the bag would be considered unlikely.

Step-by-step explanation:

A high school drama department sold 238 tickets for their performance.




• An adult ticket cost $6.75.


• A student ticket cost $3.50.


• The high school drama department collected $1,252.25 in ticket sales.




How many student tickets were sold?

Answers

Answer:

358 student

Step-by-step explanation:

3.50×358=1252


Help please!!!!!!!!

Answers

the slope can be found using rise over run
the line goes up 5 and over 10
so the slope would be 5/10 or 1/2

therefore the equation of the line is:
y=1/2x

I need help please help me

Answers

Answer:

a. 85 m

b. 96 cm

Step-by-step explanation:

Work for (a.)

95 x 2 = 190. 360 - 190 = 170170 ÷ 2 = 85Final Answer: 85 m

Work for (b.)

58 x 2 = 1165568 ÷ 58 = 96 To make sure: 96 x 58 = 5568Final Answer: 96 cm

f(x) = -2x²-2x+10, find f(2)

Answers

Answer:

f(2) = -2

Step-by-step explanation:

Substitute 2 everywhere you see an x so f(2) = -2([tex]2^{2}[/tex]) - 2(2) + 10 so

f(2) = -2(4) - 4 + 10, so f(2) = -8-4+10, f(2) = -12+10, f(2) = -2

Find the x- and y-intercepts of the graph of 7x – 10y = 30. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:

Answers

Answer:

x-intercept: 7/30

y-intercept: −3

Step-by-step explanation:

Answer:

Step-by-step explanation:

For x-intercept:

Substitute y=0:

7x-10(0)=30

7x=30

x=30/7

For y-intercept:

Substitute x=0:

7(0)-10y=30

-10y=30

y=-30/10

y=-3

can some please help me to solve this gometry with full process​

Answers

Answer: x in top right = 90°

x in bottom left = 90°

Step-by-step explanation:

The vertical angle of 110° = 110°. That angle is corresponding to x + 20°

110° - 20° = 90°

We know all of the interior angles of the triangle because:

1. Vertical angle to 20° = 20°

2. Supplementary angle to 110° = 70°

3. Other angle = 180 - 20 - 70 = 90°

The supplement to 90° = 90° , so the x in the bottom left = 90°

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Mr. Ferguson's classroom is 30 ft long, 20 ft wide, and 10 ft tall. There are 3 concrete
columns in the room. Each column is 10 ft tall with a radius of 2 ft. What is the
volume of the classroom without the columns?
Rectangular Prism: V = lwh
Cylinder: V = tirah
Type a number only for your answer - no units.
Example 525.89

Answers

Answer:

they all went to the stairs

Step-by-step explanation:

67.90 I don't know u tell me

Class: How can we graph using slope intercept form?

1/3y=x​

Answers

1/3y=x
3•1/3y=3x
y=3x
Hope this helped, if it did, I would really appreciate it if you can give me brainliest

Find the area of the smaller sector.
140°/6 in
1404
Area =
[ ? Jin2
B В
Round your answer to the nearest hundredth.

Answers

Answer:

43.96

Step-by-step explanation:

3.14 x 6^2 x 140/360

According to a Pew Research Center study, 14% of Americans have changed their views on a political or social topic in the last year because of something they saw on social media. Let the random variable be the number of people, from a random sample of 60 Americans, who have changed their political or social views in the last year because of social media.
Is the number of these people who have changed their views because of social media a binomial random variable?
A. Yes. All four conditions are met.
B. No. There is not a fixed number of trials.
C. No. The trials cannot reasonably be assumed to be independent.
D. No. The outcomes cannot be described as only "success" and failure"
E. No. The probability of success is not the same for each trial.

Answers

Answer:

A. Yes. All four conditions are met.

Step-by-step explanation:

Binomial random variable:

Can only have two outcomes(yes/no questions).

Each trial must be independent, that is, the probability of a success is always the same in a trial.

It's probabilities must be between 0 and 1.

Number of these people who have changed their views because of social media a binomial random variable.

For each people, there are only two possible outcomes. Either they did change, or they did not. For each people, the probability of changing is independent of other people, that is, the probability is the same, so yes, the conditions are met.

Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction The z statistic for this data is __________. -0.56 0.45 -0.45 0.56

Answers

Answer:

0.56

Step-by-step explanation:

RATIONALE

To make things a little easier, let's first note the denominator  

We can now note that  

Finally, subbing all in we find  

Answer:

0.56

Step-by-step explanation:

Make a conjecture. Let points A and B stay in the same
position. What would happen to the angle formed if the
vertex of angle AOB was moved from the center to point
C, which lies on the circle?
The measure of angle ACB is
the
measure of angle AOB.

Answers

Answer:

✔ less than

Step-by-step explanation:

The measure of angle ACB is less than the measure of the angle AOB.

GIven,
Making the conjecture.
What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C, which lies on the circle is to be justify.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r². where h, k is the coordinate of the circle's center on coordinate plane and r is the circle's radius.

Here, there is a property of pair of lines,
when two lines intersect each other they hold some angle of intersection with each other, when the angle of intersection increases, assuming a point says the point of intercession getting close to the points then angle of the intersection will increase. If the point of intersection gets far away from that point, the angle of the intersection will decrease.

Similarly, in the given problem point O is close to the arc AB than C. Implies Angle ACB is smaller than Angle AOB.

Thus, the measure of angle ACB is less than the measure of the angle AOB.

Learn more about circle here:

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Find the missing length indicated.ii

Answers

6 ..................

Multiply the sum 5 and 3 and the sum of 8 and 9

Answers

Answer:

136

Step-by-step explanation:

Sum of 5 and 3: 8

Sum of 8 and 9: 17

17 * 8 is 136

Answer: The sum of 5 and 3 is 8 and the sum of 8 and 9 is 17.

(2x³ - 10x² + 4x - 20) / (x - 5) = ?

Answers

Step-by-step explanation:

2x³ - 10x² + 4x - 20

= 2x²(x - 5) + 4(x - 5)

= (2x² + 4)(x - 5).

Hence (2x³ - 10x² + 4x - 20) / (x - 5)

= [(2x² + 4)(x - 5)] / (x - 5) = 2x² + 4.

Answer:

2x²+4

Step-by-step explanation:

2x³-10x²+4x-20

2(x³-5x²+2x-10)

x-5

2(x²×(x-5)+2(x-5)

x-5

2(x-5)×(x²+2)

x-5

2(x²+2)

=2ײ+4

Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly​ selected, exactly of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q. The value of n is ______.

Answers

Answer:

The value of n is the size of the sample, the number of customers selected.

The value of p is 0.48.

The value of q is 0.52.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

48% of consumers are comfortable having drones deliver their purchases.

This means that [tex]p = 0.48, q = 1 - p = 1 - 0.48 = 0.52[/tex]

The value of n is the size of the sample, the number of customers selected.

write at least 250 word about a way you have used math outside of school. Use your own word

Answers

Hi buddy I’m sorry bud I hope you have a good day buddy I’m sorry bud I hope you have a good day buddy I’m sorry
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