What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4​

Answers

Answer 1

Answer:

(2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

2x + y = 5

3x - 2y = 4

Step 2: Rewrite Systems

Manipulate 1st equation

[Subtraction Property of Equality] Subtract 2x on both sides:                      y = 5 - 2x

Step 3: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                         3x - 2(5 - 2x) = 4[Distributive Property] Distribute -2:                                                                3x - 10 + 4x = 4[Addition] Combine like terms:                                                                        7x - 10 = 4[Addition Property of Equality] Add 10 on both sides:                                   7x = 14[Division Property of Equality] Divide 7 on both sides:                                 x = 2

Step 4: Solve for y

Substitute in x [Modified 1st Equation]:                                                           y = 5 - 2(2)Multiply:                                                                                                             y = 5 - 4Subtract:                                                                                                            y = 1

Related Questions

PLEASE HELP SOLVEE THIS ?

Answers

Answer:

25 Im pretty sure is next

Step-by-step explanation:

Answer:

Step-by-step explanation:

arrange the data from ascending to decending order.

11,12,16,16,17,18,20

median=(N+1)/2(N = number of data)

=(7+1)/2

=8/2

=4 th term

=16

therefore median=16.

A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you
draw out a sock and then draw out a second sock without returning the first sock.
What is the probability that the first sock and the second sock are both white.

Answers

Answer:

[tex]\frac{3}{38}[/tex]

Step-by-step explanation:

[tex]\frac{6}{20}\cdot \frac{5}{19}=\frac{30}{380}=\boxed{\frac{3}{38}}[/tex]

Answer:

3/38

Step-by-step explanation:

So, you add the total numbers of socks and the total is 20. Since there is 6 white socks the first time you pick, your first fraction is 6/20 (3/10). So since you didn't put the first sock back, now the probability of picking another white sock is 5/19. So now multiply your fractions, and your answer should be 15/190 (Simplifyed 3/38)

help!!!!!!! me plzzzz!!!!

Answers

Answer:

1.0

2.undefined

Step-by-step explanation:

Answer:1) 0, 2) is undefined

Step-by-step explanation:

Can you please help solve and find value of x!

Answers

Answer:

32º

Step-by-step explanation:

Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.

sin (x) = opp/hyp = 8/15

sin-1(8/15) = x = 0.56253 radians

0.56253 radians * 180/π = 32.23º

Round this to 32º

Tell whether the angles are complementary, supplementary, or neither.

Answers

Answer:they are supplementary

Step-by-step explanation:

Unit 9 test: Trigonometry
What is the right answer to this problem?

Answers

Answer:

x = 10.5

Step-by-step explanation:

[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

(04.06 LC)
The first four terms of a sequence are shown below:
8, 5, 2, -1
Which of the following functions best defines this sequence? (5 points)
f(n) = - 3(n-1) +8; for n 2 1
O f(n) = 3(n-1) +8; for n 2 1
O f(n) = - 5(n-1) +8; for n 2 1
f(n) = 5(n-1) +8; for n 2 1

Answers

Given:

The first four terms of a sequence are:

8, 5, 2, -1

To find:

The function that defines the given sequence.

Solution:

We have,

8, 5, 2, -1

The differences between two consecutive terms are:

[tex]5-8=-3[/tex]

[tex]2-5=-3[/tex]

[tex]-1-2=-3[/tex]

The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.

The nth terms of an arithmetic sequence is:

[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=8,d=-3[/tex], we get

[tex]f(n)=8+(n-1)(-3)[/tex]

[tex]f(n)=8-3(n-1)[/tex]

[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]

Therefore, the correct option is A.

A lawn and garden store surveyed 250 random customers who bought perennial flowers. Participants were asked the question, "Would you like the store to provide more annual flowers or more perennial flowers?"

A report of the survey results stated that customers would prefer the store to provide more perennial flowers than annual flowers.

Select all statements that correctly evaluate the report.

Options:

The question is biased toward a response of wanting more annual flowers.

The question is not biased.

The question is biased toward a response of wanting more perennial flowers.

The sample is not biased.

The sample is biased because it does not represent the population of customers at the lawn and garden store.

Answers

Answer:

The question is not biased

The sample is biased because it does not represent the population of customers at the lawn and garden store

Step-by-step explanation:

I just took the test :)

The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

What is randomization?

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.

For the 250 random customers who bought perennial flowers. The question is not biased. The sample is biased because it does not represent the population of customers at the lawn and garden store.

To know more about randomization follow

https://brainly.com/question/13219833

#SPJ2

What is the value of x when y has a value of -9 ? -3x = y + 51

A) -20
B) -14
C) 14
D) 20

Answers

The best option here is option B) -14

please answer!!

Which of the following is the equation of a line in slope-intercept form for a
line with slope = 1 and yintercept at (0, -1)?

A. y= 4x+1
B. y= 1x-1
C. y=-x-1
D. y= 4x-1

Answers

Hi there!

[tex]\large\boxed{\text{ B. } y = 1x - 1}[/tex]

Recall that the equation of a line is:

y = mx + b, where:

m = slope

b = y-value of the y-intercept.

We are given that the slope is 1 and the y-intercept is -1, so:

m = 1

b = -1

The correct equation is B. y = 1x - 1

GRADE 8 MAIN
SESSION 2 /
Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video
games at the same store for $410.
Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$

Answers

Answer:

jason shdudbuasd

Step-by-step explanation:

$270 for one game system.

An accountant earns an annual salary of $78, 252. Find her gross monthly salary.

Answers

Answer:

she gets paid 6,521 a month

Step-by-step explanation:

just divide 78,252 by 12

Answer:  $6,521

Explanation:

Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.

Perimetrul unui teren de sport este de 224m. Alfa lungimea si latimea terenului, daca latimea este cu 8m mai mare decat 1/3 din lungime

Answers

Answer:

I. L = 78 metros

II. W = 34 metros.

Step-by-step explanation:

Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.

Sabemos que un campo deportivo tiene forma rectangular.

Dados los siguientes datos;

Perímetro del rectángulo = 224 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = ⅓L + 8 = L/3 + 8

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

Sustituyendo en la ecuación, tenemos;

224 = 2(L + [L/3 + 8])

224 = 2L + 2L/3 + 16

Reordenando la ecuación (recolectando términos semejantes), tenemos;

224 - 16 = 2L + 2L/3

224 - 16 = 8L/3

208 = 8L/3

Multiplicación cruzada, tenemos;

8L = 208 * 3

8L = 624

L = 624/8

L = 78 metros

Para encontrar el ancho;

W = L/3 + 8

W = 78/3 + 8

W = 26 + 8

W = 34 metros.

Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.

Answers

Answer:

Number of rack made from total wood = 5 rack

Step-by-step explanation:

Given:

Length of wood Zendaya has = 5/6 yard

Length of each rack = 1/6 yard

Find:

Number of rack made from total wood

Computation:

Number of rack made from total wood = Length of wood Zendaya has / Length of each rack

Number of rack made from total wood = [5/6] / [1/6]

Number of rack made from total wood = [5/6][6/1]

Number of rack made from total wood = 5 rack

Solve the trigonometric equation on the interval of [0,2π) below:
[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]
Show your work, thanks! ​

Answers

Answer:

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation on interval of [0,2π)

[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]

remember that,

[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]

so the equation has two solutions

[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]

take inverse trig both sides which yields:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]

simplify the second equation:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]

add period of 2kπ:

[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]

By making theta subject of the equation we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]

since [tex]k\in\mathbb{Z}[/tex] we get:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]

as we want to Solve the trigonometric equation on the interval of [0,2π) we get

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]

by simplifying we acquire:

[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]

and we are done!

hence,

[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]

What is the answer? {y=2x−6 y=5x−21

Answers

The answer would be b because if you substitute 5 in for x y=2x-6 would equal 4 and y=5x-21 would equal 4. I hope this helps!

Answer:

x=5, y=4. (5, 4).

Step-by-step explanation:

y=2x-6

y=5x-21

--------------

2x-6=5x-21

2x-5x-6=-21

-3x-6=-21

-3x=-21+6

-3x=-15

3x=15

x=15/3

x=5

y=2(5)-6

y=10-6

y=4

Classify the triangle

Answers

i believe that is an acute triangle

I dont quite understand this question, percentages are difficult for me.

Answers

Answer:

60%

Step-by-step explanation:

There are 50 girls and 30 of them prefer Snap.

30/50*100 = 60% of the girls.

There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.

Answers

I think the answer is 720 different combinations

Really need help on this too ASAP thanks for whoever helps me

Answers

Answer:

D 45

Step-by-step explanation:

90/2 = 45

135/3 = 45

180/4 = 45

Answer PLSSS..................

Answers

rectangle = 3 x 2 = 6 cm2

cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2

153.86 - 6 = 147.86cm2

pls help me and show your work

Answers

Answer:

Solution given:

[tex]4\frac{2}{3}÷7[/tex]

=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]

=[tex]\frac{14}{3*7}[/tex]

=[tex]\frac{2}{3}[/tex] is a required answer.

how to calculate algebraic expression?

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Pizza hut charges $7.00 for a cheese pizza. Each additional topping costs $0.50. Write an equation in slope-intercept form to determine the total cost, y, of a pizza with,x, amount of toppings.
What is the slope and y-intercept in context of the situation?

Answers

Answer:  [tex]y=0.5x+7[/tex]

Step-by-step explanation:

Given

Pizza hut charges $7 for a cheese pizza

Each additional topping costs $0.50

Considering y as the cost of pizza and x be the amount of topping added

Cost of a pizza with toppings

[tex]\Rightarrow y=0.5x+7[/tex]

Here, the slope of the equation is [tex]0.5[/tex]

Y-intercept is equivalent to price of base pizza i.e. [tex]7[/tex]

Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!

Answers

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

The y-intercept of a line is where the line crosses the y axis, so the x axis is always 0 here. So it is (0,-3)

what is the difference between 1089 and 4445​

Answers

Answer:

If it is:

1,089-4,445= -3,356

but if it is the other way:

4,445-1,089= 3,356

Hope it helped!

Answer:

Its a Subtraction problem

4445-1089

=3356

Can you help? will give brainliest
┐(´ー`)┌

Answers

Answer:

D

Step-by-step explanation:

u are correct

Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0 4 6 8 10
Probability 0.45 0.3 0.1 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.

Answers

Answer:

2.65

Step-by-step explanation:

Multiply each payout by its probability, then add those products.

See the attached image.

The first column has the payouts.  The second column has the probabilities. The third column has the results of multiplying a payout by its probability.

The sum of the entries in the third column is 2.65

The expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

From the table we can find the expected value:

Multiply payout to probability such that:

= 0×0.45 = 0

= 4×0.3 = 1.2

And so on

Now sum all values(refer to the attached table)

= 0+1.2+0.6+0.8+0.5

= $3.1

Thus, the expected value is $3.1 if the payout probability distribution is payout ($)| 0 4 6 8 10 probability 0.45 0.3 0.1 0.1 0.05

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?

Answers

Answer:

the unknown number of fish is 26

Step-by-step explanation:

I figured this out by subtracting 68 - 47 = x.

x = 26

Answer:

Unknow fishes = 26

Step-by-step explanation:

We are given that 42 and x fishes sum up to 68 fishes, so we can say;

42 + x = 68

x = 68 - 42

x = 26

Therefore the number of unknown fishes = 26

Hope this helps!

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