Solve the system of equations using the substitution method.
x-4-5
2x + 3y - 23
Write your solution as an ordered pair:(

Solve The System Of Equations Using The Substitution Method.x-4-52x + 3y - 23Write Your Solution As An

Answers

Answer 1

Answer:

(7, 3 )

Step-by-step explanation:

Given the 2 equations

x = 4y - 5 → (1)

2x + 3y = 23 → (2)

Substitute x = 4y - 5 into (2)

2(4y - 5) + 3y = 23 , that is

8y - 10 + 3y = 23

11y - 10 = 23 ( add 10 to both sides )

11y = 33 ( divide both sides by 11 )

y = 3

Substitute y = 3 into (1) for corresponding value of x

x = 4(3) - 5 = 12 - 5 = 7

solution is (7, 3 )


Related Questions

A bag contains 7 red, 3 yellow, and 4 blue marbles. What is the probability of pulling out a blue marble, followed by a red marble, without replacing the blue marble first?

Answers

Answer:

2/13

Step-by-step explanation:

P(Red,Blue) = 4/14 × 7/13

simplified it becomes 2/13

Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5

Answers

Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

What's the greatest common factor 25x^2 and 100x^4y^2

Answers

Answer:

I D K

Step-by-step explanation:

Write 3.41 x 106 in standard form
(24 points)

Answers

Answer:

3,410,000

Step-by-step explanation:

3.41 * 10^6 = 3.41 * 1,000,000 = 3,410,000

Answer:

3,410,000

plz mark me as brainliest

The quotient of a number more than 1 and 3 is 5

Answers

Answer:

https://brainly.com/question/13518166

Step-by-step explanation:

find the value of x and y, special right triangles

Answers

Answer:

25 and 135

Step-by-step explanation:

you see that the small square equals 90

Compare each set of rational numbers.
-1
2
✓ -1.5

1
o
2
-2
-1

Answers

-1 is a negative real and rational integer.

2 is a positive real number

[tex] \sqrt{ - 1.5} [/tex]

is an imaginary or nonreal number.

1 is rational

0 is rational

2 rational counting number

-2 is a negative integer

and do is -1

A scientist used a microscope to count the number of bacterial cells in a petri dish every hour.
Which function most accurately represents this data, where n is the number of bacteria and 1 is the time elapsed, in hours?
a. n=2t
b. n=2^t
c n=t^2
d. n=√t​

Answers

Answer:

a. n=2t

Step-by-step explanation:

Given that

N denotes the number of bacteria

And, 1 denotes the time elasped in hours

Now based on this, the scientist used a microscope for counting the number of bacterial cells every hour

So,the function that represent correct data is

n = 2t

Therefore the correct option is A.

The same would be considered

Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?

Answers

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

[tex]\frac{8}{20} * 100\\40[/tex]%

Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years

Answers

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5  

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000



Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?

A. 180 students
B. 12 students
C. 300 students
D. 36 students

Answers

180 students i’m pretty sure?

What is the measure of the other acute angle.....?

I really need to get this right plsss help me ❤️ I really need to get to an 90

Answers

the answer is 30°

EXPLAINATION:

since the angle is a right angle triangle one of it's angles is 90°, and all the angles of a triangle always add up to 180°

so, 90° + 60° + x = 180

150° + x = 180°

so x = 180° - 150° = 30°

hence, the other acute angle is 30°.

Plz help 10 points :)

Answers

The first 3 answers:
With a unit ^3 (cubed) it means they took 3 side measurements and multiplied them to find volume of an object.

The starting salary of a starting teacher is $40,000, which will increase by 2% each year

What is the multiplier (growth factor) for this scenario?

1. .02
2. 1.02
3. 2
4. 1.2

Answers

Answer:

Choice B - (1.02)

Step-by-step explanation:

With the teachers starting salary being $40,000, we can rightfully assume that it their salary would not increase with Choice A, $40,000 * 0.2 = $800.

2% otherwise known as 0.02, would make the teachers yearly salary $40,000 * 1 + 0.02, or $40,000 * 1.02. Making the correct answer, Choice B - (1.02). (This would also give the teacher an additional $800 per year!)

If Y is inversely proportional to x and y=4 when x= 100, what is the value of y when x=250

Answers

Answer:

y=10

Step-by-step explanation:

[tex]\frac{4}{100}[/tex]=[tex]\frac{y}{250}[/tex]

cross-multiply, 4*250=100y

isolate the variable and solve for y, 1000=100y

divide 100 on both sides, 10=y

Has anyone done the Alg1B Portfolio - Unit 6 for connections academy

Answers

Answer:

I have

Step-by-step explanation:

PLEASE HELP ME PUT THEM IN ORDER

Answers

Answer

picture below of order. Not entirely

Step-by-step explanation:

) Which relation is a function?
A) y2- x = 8
B) y2 + 3xy = 9y
C) y2 + x = 8x - 8
D) y =3/y- x2

Answers

Answer:

It is A

Step-by-step explanation:

If the y2 get subtracted by the 8 then itll be 8

Each person is dealt 5 cards, show the total number of cards dealt for each players from 3 to 6 write the ratio of cards dealt

Answers

Answer:

Following are the responses to these question:

Step-by-step explanation:

Because every player has 5 cards handed

The card ratio is 5:1 per player.

So, if there are three teams

5 times 3=15 Cards 

Four players=four times five=20 cards

Five players=5 times five=25 cards

6 cards=6 times 5=30 cards

The card ratio is 5:1 per player.


PLEASE ANSWER ASAP

At a carry-out burger restaurant, an order of 4 burgers, 2 orders of French fries and 3 fountain drinks cost $32.25. A second order of 6
burgers, 3 orders of French fries, and 6 fountain drinks costs $51.15. If three burgers and two fountain drink cost $13.05 more than two
orders of French fries, what is the cost of each

Answers

Answer:

hmmm I think u need to talk to ur teacher

Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.

A-(2, 27)
B-(2, 19)
C-(2, 3)

WILL MARK BRAINLIEST -JAYVEE

Answers

I believe the answer to your question is A
I promise the answer is a

How many years would it take for
£109.27 to be accrued after
£100 is invested with 3%
pa compound interest.
Years:

Answers

Answer:

3 years approx

Step-by-step explanation:

Given data

Principal=£100

Amount= £109.27

Rate= 3%

The expression for the compound interest is

A=P(1+r)^t

Make t subject of formula we have

t= ln(A/P) / r

t= ln(109.27/100)/ 3

t= ln(1.0927)/0.03

t= 0.088/0.03

t= 2.93

Hence the time is 3 years approx

write the equations of these parabolas in vertex form: • focus at (-5,-3), and directrix y = -6 • focus at (10,-4), and directrix y = 6​

Answers

Answer:

y=0.12/1(x-5)^2 -3

y=1/10(x-10)^2 -4

Step-by-step explanation:

Given the directrix and focus of the parabolas, the equation of the parabolas are [tex]y=\frac{1}{6}(x^{2} +10x - 2)[/tex] and [tex]y=\frac{1}{20}(-x^{2} +20x - 80)[/tex].

What is equation of a parabola?

Equation of a parabola is given by-

Distance of a point (x, y) on parabola from directrix =  Distance of a point (x, y) on parabola from focus

focus = (-5, -3)

directrix = y = -6

[tex]\sqrt{(x+5)^{2}+(y+3)^{2} } = (y+6)\\\\ (x+5)^{2}+(y+3)^{2} = (y+6)^{2}\\\\x^{2} +25+5x = 6y+27\\\\y=\frac{1}{6}(x^{2} +10x - 2)[/tex]

focus = (10,-4)

directrix = y = 6

[tex]\sqrt{(x-10)^{2}+(y+4)^{2} } = (y-6)\\\\ (x-10)^{2}+(y+4)^{2} = (y-6)^{2}\\\\x^{2} +100-20x = -20y+20\\\\y=\frac{1}{20}(-x^{2} +20x - 80)[/tex]

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Which one of these is in scientific notation?
(47 points)

Answers

The answer to this is 2.

Answer:

8.98 * 10^6 is the scientific notation

Step-by-step explanation:

Determine the approximate length of the segment AD *

Answers

Answer:

35/6

Step-by-step explanation:

The right angle triangle ABC which has another triangle BCD, the length of segment AD is,  9.73 cm

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Two triangle,

ΔABC and ΔBCD

Side lengths are ,

AC =  19cm

BC  =  8cm

DC  =  11cm

AC² = AB² + BC²

19² = AB² + 8²

AB = 17.23

Another  ΔBCD

11² = DB² + 8²

DB = 7.5

The length of AD =  AB - DB

                             =  17.23 - 7.5

                             =   9.73

Hence, the length of the segment is 9.73 cm

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what is the equation of the line that has a slope of -3 and a y-intercept of -1

Answers

Answer:

y=4x+2

Step-by-step explanation:

Need your help answer correctly for 20 points! <3

Answers

12.50 dollars per hour

Answer:

$12.50

Step-by-step explanation:

Hi,

Cassie: 250 / 20 = 12.5

Marli: 312.50 / 25 = 12.5

Brad: 350 / 28 = 12.5

Each worker makes $12.50 per hour.

I hope this helps :)

A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?

Answers

3 rooms. 3.0443415 round to the nearest whole number. .

After two numbers are removed from the list $$9,~13,~15,~17,~19,~23,~31,~49,$$ the average and the median each increase by $2$. What is the product of the two numbers that were removed?

Answers

Answer:

The removed numbers are 13 and 19, and the product is:

13*19 = 247

Step-by-step explanation:

We have the set:

{9, 13, 15, 17, 19, 23, 31, 49}

The original median is the number that is just in the middle of the set (in a set of 8 numbers, we take the average between the fourth and fifth numbers)

then the median is:

(17 + 19)/2 = 18

and the mean is:

(9 + 13 + 15 + 17 + 19 + 23 + 31 + 49)/8 = 22

We want to remove two numbers such that the mean and the median increase by two.

Is immediate to notice that if we want the median to increase by two, we need to remove the number 19 and one number smaller than 17.

Then the median will be equal to:

(17 + 23)/2 = 20

which is 2 more than the previous median.

because 19 assume that we remove the 19 and number N.

To find the value of N, we can solve for the new mean:

((9 + 13 + 15 + 17  + 23 + 31 + 49 - N)/6 = 22 + 2

(this means that if we remove the number 19 and the number N, the mean increases by 2.

(9 + 13 + 15 + 17  + 23 + 31 + 49 - N)/6 = 22 + 2

(9 + 13 + 15 + 17  + 23 + 31 + 49 - N) = 24*6 = 144

157 - N = 144

157 - 144 = N = 13

This means that the other number we need to remove is 13

Then we remove the numbers 13 and 19

The product of the two removed numbers is:

13*19  =247

Answer:

247

Step-by-step explanation:

The average of the original numbers is 176/8 = 22. The median of the original numbers is the average of the middle two numbers: 17 + 19/2 = 18.

Thus, after removing two numbers, we should obtain a list of six numbers whose average is 24 and whose median is 20.

For the median of six numbers to be 20, the middle two numbers in that list must add up to 40. Searching our original list for pairs of numbers that add up to 40, we find two such pairs: 9, 31 and 17, 23. But 9 and 32 can't be the middle numbers after we remove two numbers, so 17 and 23 must be the middle numbers. This tells us that one of the removed numbers must be 19.

For the average of six numbers to be 24, the sum of the six numbers must be 6 ∙ 24 = 144. This is 32 less than the original sum of 176, so if one of the removed numbers is 19, the other must be 32 - 19 = 13.

Therefore, the product of the two removed numbers is 13 ∙ 19 = 247.

Please help me! Only have about 10 minutes until I have to submit this assignment!

Answers

Answer:

626

Step-by-step explanation

The answer is 626 I think
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