Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12

Answers

Answer 1

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

x +2y= 6 -----(2)

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4


Related Questions

f(x) = -2^x
Find the domain and range and explain.

Answers

[tex]\\ \sf\longmapsto f(x)+-2^x[/tex]

Graph attached

How to find domain and range from co-ordinate pairs?

If a pair be (x,y)Then x=domain and y=range

Now look at the graph

Co-ordinate is (0,-1)

Here domain can be any real number .

[tex]\\ \sf\longmapsto D_f\in R[/tex]

And

Range starts from 0 and infinite in negative y direction.

[tex]\\ \sf\longmapsto R_f\in (\infty,0][/tex]

Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each

Answers

Answer:

Nina paid $2.89 per gallon.

Fred paid $2.93 per gallon.

Elanor paid $2.86 per gallon.

Elanor got the best deal.

Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.

Answer:

Eleanor because they paid the lowest.

Step-by-step explanation:

N=Nina F=Fred E=Eleanor

N 37.57/13=2.89 per gallon

F 55.67/19=2.93 per gallon

E 48.62/17=2.86 per gallon

The box plots below show the average daily temperatures in January and December for a US city:
January
TH
December
What can you tell about the means for these two months (1 point)

Answers

Answer:

like i said no graph i cant help

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!10

Answers

the answer is D. Hope this helps

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

Solve the angles of this parallelogram

Answers

[tex]6x + 2 + 14x + 2y + 15y + 10 + 6x + 12y = 360° \\ 26x + 29y + 12 = 360° \\ 26x + 29y = 360 - 12 \\ 26x + 29y = 348 \\ 26x + y = \frac{348}{29} \\ 26x + y = 12 \\ x + y = 312[/tex]

solve for x help it's due today​

Answers

Answer:

x = 8√2

Step-by-step explanation:

use the pythagorean theorem with the 2 sides being the same

16^2 = x^2 + x^2

256 = 2x^2

Divide both sides by 2

128 = x^2

Take the square root of both sides

x = √128

x = √(64 * 2)

x = 8√2

Answer:

x= [tex]8\sqrt{2}[/tex] or 11.31

Step-by-step explanation:

You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.

Side C= 16

Side A= Side B

45-45-90 Formula

Side C= [tex]a\sqrt{2}[/tex]

16= [tex]a\sqrt{2}[/tex]

[tex](16= a\sqrt{2})^{2}[/tex]

256=[tex]2a^{2}[/tex]

128=[tex]a^{2}[/tex]

[tex]\sqrt{128}[/tex]=a

a= [tex]8\sqrt{2}[/tex] or 11.31

Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?

Answers

Answer:

22 dollars

Step-by-step explanation

If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match the systems of equations to their solutions.

2x + y = 12

x = 9 - 2y

x + 2y = 9

2x + 4y = 20

x + 3y = 16

2x - y = 11

y = 11 - 2x

4x - 3y = -13

y = 10 + x

-3x + 3y = 30

2x + y = 11

x - 2y = -7

x = 2, y = 7

x = 5, y= 2

x= 3, y=5

x = 7, y=3

Answers

Answer:

the answer is 87 keep trying also the answer 45 aha tricked you

Step-by-step explanation:

um not sure of the answer but loo-kit u p on o just keep trying quay

Answer:

Hey I got you!

Step-by-step explanation:

These are the correct answers I use another easier platform you could say

Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.

Answers

Answer:

I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable

The balance of his account after buying the apples would be $-72.00. It is definitely not wise to go deeper into debt for some apples.

Could someone please help?

Answers

Answer:

snap for secsy pics

Step-by-step explanation:

cat.lover

Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?

Answers

Answer:

7:22

hope this helps and please mark brainllest

Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

substitution entry fee=$10 each ticket=$2

Step-by-step explanation:

2x-y=4
-2x+y=7
is there a solution

Answers

[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]

[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]

Which is the best estimate for the length this tube

Answers

Answer:

Step-by-step explanation:

Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?

Answers

Answer: Yes, No Submit ·

Step-by-step explanation:

40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!

Answers

Answer:

where are the problem?

Step-by-step explanation:

sorry no problem

Describe how the graph of y= 2x is the same and different from the graph of y=2x+8

Answers

Answer:

They are the same because they have the same slope, 2. and they are different because they different y-intercepts, 0 and 8.

Step-by-step explanation:

Your equations y=mx+b

m is your slope, both 2 and

b is your y-intercept, 0 for your first one because it doesn't have any, and 8 for your second one.

i'm so confused help me pelase

Answers

Answer:

Table 2

Step-by-step explanation:

We can solve this by dividing the number of pizzas at each table by the number of kids at each table.  This will tell us how much pizza each kid is able to eat:

Table 1:

2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid

Table 2:

3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid

Table 3:

5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid

The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.

One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90?

Answers

Answer:

31 hours

Step-by-step explanation:

First you take 313.50 divide that by 15 get 20.9 per hour

Then you take 647.90 and divide that by 20.9

So then you're left with 31 as your answer.

Find any four rational numbers between -2 and -1​

Answers

Answer:

-19/10, -18/10, -17/10, -16/10

Step-by-step explanation:

Four Rational numbers between -2 and -1 are:-

-1.9,-1.8,-1.7,-1.6

=> -19/10, -18/10, -17/10, -16/10

Answer:

-1.72, -1.8, -11/8, -29/20.

Step-by-step explanation:

The basketball team and volley ball team are having a competition to see which team can raise the most money for a local charity.

The basketball team is selling raffle tickets for 4.50 each and has already raised $275

The volleyball team is selling raffle tickets $2.50 each and has already raised $500

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Basketball Team: ____________
Volleyball Team: ____________

write an equation that would represent when the basketball team would have more money than the volleyball team.


How many tickets would the basketball team need to sale to have more money than the volleyball team?

Basketball Team Equation: _________

Volleyball Team Equation: _________

Basketball answer:_____
Volleyball answer:_____​

Answers

Answer:

Step-by-step explanation:

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Basketball Team: T(B) = 4.50x(B)

Volleyball Team:  T(V) = 2.50x(V)

The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).

We know the amounts each team has raised, sio we can calculate the number of tickets:

Basketball

 $275 = $4.50x(B)

x(B) = 61.11  [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]:  61 tickets from the Baseball team

 $500 = $2.50x(V)

x(V) = 200 tickets from the Volleyball team

---

"write an equation that would represent when the basketball team would have more money than the volleyball team."

We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]

T(B)/T(V) = ($4.50x(B))/($2.50x(V))

1 <= ($4.50/$2.50)*(x(B)/x(V))

1 <= 1.8(x(B)/x(V))

x(V) <= 1.8*(x(B))

The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.

----

The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.

To reach $500:

 $500 = $4.50*x(B)

x(B) = 111.11  (Another rounding problem, but we don't need to worry.  It wants to kniow "how many MORE."

(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.

What is the value of the expression below?

|3| + |-3| + |-1|

Answers

Answer:

7

Step-by-step explanation:

After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7

a÷b when a = 2 and b = 1/2

Answers

Answer:

4

Step-by-step explanation:

a ÷ b = 2 ÷ 1/2 = 2 × 2/1 = 4

Pleaseee help me A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function (x) -0.8x? - 256x+29,444. What is the minimum unit cost?
Do not round your answer.

Answers

Answer: 8,964

Step-by-step explanation: x= -b/2a. So, -(-256)/2(0.8)= 160. Plug in 160 to the whole equation.

0.8(160)^2 -256(160)+29444

=8,964

Sam and Diane each open a savings account at the same time. Sam invests $4,500 in an account yielding
3.2% simple interest, and Diane invests $5,000 in an account yielding 6.2% simple interest. After twelve
years, who has the greater total of money, and how much greater is it?

Answers

Answer:

Step-by-step explanation:

If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?

Answers

About 92 days are taken for 90 % of the material to decay.

The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.

In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]

[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]

[tex]\tau \approx 39.963\,d[/tex]

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]

[tex]t\approx 92.018\,d[/tex]

About 92 days are taken for 90 % of the material to decay.

We kindly invite to check this question on half-life: https://brainly.com/question/24710827

need help what is answer

Answers

Answer:

y=-4/3x+1 is the equation of the line perpendicular to 3/4x+5 and goes through the point 3,-3

Step-by-step explanation:

Note that the co-efficient before x is the slope, which i will call m, and a perpendicular line has a slope of -1/m.

-1/m=-4/3

so

y=-4/3x+z,

plug in 3 for x, and -3 for y to get z=1

y=-4/3x+1 is the equation

On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)

a. -12
b. 0
c. +4
d. +12

Hi, can someone please help me with this? I’ll give branliest if i can!

Answers

The answer for this is d=12
Explanation: because they returned the ball to the 30 then they ran 12 more to get to the 42 yards
Hope this is helpful!!

The number which represents the gain as per the question is +12. Hence, option "d" is correct.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Firstly, the team returned the ball to the 30-yard line.

Then, hey ran to the 42-yard line for a gain.

Then, the number that shows the change will be,

= 42 - 30

= +12, there is gain of +12.

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ2

three friends are playing a card game. to start each player draws four cards. the player with the largest sum goes first. which player goes first?

Deena:
6, -9, 7, -5
Cory:
5, 3, 0, -6
Malcom:
11, -12, -3, 4

Answers

Answer:

cory

Step-by-step explanation:

brainliest plz!!! :) have a good day

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