IM TIMED HELP PLS , solve the system of equations using substitution method , y = 2x + 8 , y = 4x - 2

Answers

Answer 1

Answer:

x=5, y=18

Step-by-step explanation:

y=2x+8

x= (y-8)/2

Substitute in second equation,

y= 4((y-8)/2) -2

y= 2(y-8)-2

y= 2y-16-2

16+2=2y-y

18=y

Replace y value in first equation to find x,

18= 2x+8

18-8=2x

10=2x

5=x


Related Questions

Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).

Answers

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)

\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)

the figure at the right is a regular octagon with the sign length s. Write two algebaric

Answers

The expression of the side length is 6y - 5

How to determine the expression of the side length

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Perimeter = 48y - 40

Number of sides = 8

The side length s can be calculated as

s =(48y - 40)/8

Evaluate the quotient

s = 6y - 5

Hence, the side length expression is 6y - 5

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the figure at the right is a regular octagon with the sign length s. Write two algebaric

Kathryn invests $8,327 in a savings account with a
fixed annual interest rate compounded continuously. After
10 years, the balance reaches $18,532.08. What is the
interest rate of the account?

Answers

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

I have $57 each hat costs$5 what is the greatest amount of hats I can buy

Answers

Answer: Must be 11 hats

Step-by-step explanation:

Each hats costs $5, and you have $57. So call the greatest amount of hats you can buy is x, we have: 5x=57 => x=57:5=11.4

The amount of hats can't be 11.4 right? The greatest amount of hats is 11.

Answer:

\(\bold{\boxed{\Huge \bold{\boxed{\text{11 hats}}}}}\)

Step-by-step explanation:

To find the greatest amount of hats that can be bought with $57, we need to divide the total amount of money by the cost of each hat. This will give us the maximum number of hats that we can buy.

Step 1: Divide the total amount of money by the cost of each hat.

\(\frac{57}{5} = 11.4\)

Since we cannot buy 0.4 of a hat:

The greatest amount of hats that can be bought with $57 is 11 hats.

Identify the range of the following numbers:
100, 212, 215, 308, 303,600.

Answers

Answer:

500

Step-by-step explanation:

To find range, you subtract the lowest value from the greatest value.

First you have to put the vaulues in order from least to greatest

100, 212, 215, 303, 308, 600

then,

600-100=500

please help
10= t+13/2

Answers

Answer:

\(t + \frac{13}{2} = 10 \\ t = 10 - \frac{13}{2} \\ t = \frac{7}{2} \) \\ t = 3.5

One spring day, Fabian noted the time of day and the temperature, in degrees Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 54° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 4 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 62° at midnight. On the set of axes below, graph Fabian's data.

One spring day, Fabian noted the time of day and the temperature, in degrees Fahrenheit. His findings

Answers

Solution

For this case we have the following:

6am T= 54ºF

6am-12m T rose 1ºF per hour

12am-5pm T rose 3ºF per hour

5-6pm T constant

6-10pm dropped 3ºF per hour

Temperature at midnight= 62ºF

One spring day, Fabian noted the time of day and the temperature, in degrees Fahrenheit. His findings

Find one positive AND one negative angle that are co-terminal with the given angle.π/3Be sure to label and leave your answers in radians (not degrees).

Answers

One positive angle:

\(\frac{\pi}{3}+2\pi=\frac{7\pi}{3}\)

One negative angle:

\(\frac{\pi}{3}-2\pi=-\frac{5\pi}{3}\)

Find one positive AND one negative angle that are co-terminal with the given angle./3Be sure to label

Help!!

how many combinations do I have it I select 4 things from a total of 9 without replacement? (9C4)​

Help!!how many combinations do I have it I select 4 things from a total of 9 without replacement? (9C4)

Answers

4 things can be selected from a total of 9 without replacement in 126 times without replacement.

What is Combination?

Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of selection does not matter.

How to determine this

To calculate the combination without replacement

nCr = n!/r!(n-r)!

9C4= 9!/4!(9-4)!

= 9!/4!(5!)

= 9*8*7*6*5*4*3*2*1/4*3*2*1*5*4*3*2*1

= 362880/24*120

= 362880/2880

= 126

Therefore, it can be combined in 126 times

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you put $350 in an account. the account earns $17.5 simple interest rate in 2.5 years. what is the annual interest rate

Answers

Answer:

How can you find the amount of interest owed on a loan? Simple interest is money earned on a savings account or an investment. ... (Years). I = Prt. Work with a partner. You put $100 in a savings account. ... The account earns $100 simple interest in 4 years. What is the annual interest rate? ... You put $350 in an account.

Step-by-step explanation:

Three quarters of a number is 27. What is two ninths of the number?​

Answers

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Find the volume of this sphere

Find the volume of this sphere

Answers

The  volume of the sphere is calculated as  8,788 cm³.

What is the volume of the sphere?

The volume of the sphere is calculated using the following formulas as shown below;

V = ⁴/₃πr³

where;

r is the radius of the sphere

The radius of the sphere is given as 13 cm

π is given as 3

The  volume of the sphere is calculated as follows;

V =  ⁴/₃πr³

V = ⁴/₃ x 3 x 13 x 13 x 13

V = 8,788 cm³

Thus, The  volume of the sphere is calculated by using the formula for volume of sphere.

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Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22​

Answers

Answer:

Correct answer is 28

Step-by-step explanation:

The solution to the equation is 8.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x - 3 + 1 = 6

Solve for x.

x - 2 = 6

x = 6 + 2

x = 8

We can cross-check.

x - 3 + 1 = 6

8 - 3 + 1 = 6

9 - 3 = 6

6 = 6

True

Thus,

The solution is 8

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Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.

Answers

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Rubina Shaw, family plan.
HMO annual premium is $11,473.
Employer pays 73 percent.

Answers

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

What is an algebraic expression?

An algebraic expressiοn is a mathematical phrase that cοntains variables, cοnstants, and mathematical οperatiοns. It may alsο include expοnents and/οr rοοts. Algebraic expressiοns are used tο represent quantities and relatiοnships between quantities in mathematical situatiοns, οften in the cοntext οf prοblem-sοlving.

The emplοyee's percent is 100% decreased by the emplοyer's percent.

100%−73%=27%

Based on the information you provided, Rubina Shaw's annual premium for the HMO plan is $11,473. Her employer pays 73 percent of this premium, so Rubina's portion of the premium would be:

27% × $11,473 = 0.27 × $11,473 = $3,097.71

The emplοyee's annual cοntributiοn is the prοduct οf the emplοyee's percent and the tοtal premium.

The emplοyee's mοnthly deductiοn is the emplοyee's annual cοntributiοn divided by the number οf mοnths in a year.

$3,097.71 ÷ 12

= $258.14

Emplοyee's annual cοntributiοn: $3,097.71

Emplοyee's mοnthly deductiοn: $258.14

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Complete question:

Find the employee's total annual contribution and the employee's monthly deduction. Rubina Shaw, family plan. HMO annual premium is $11,473. Employer pays 73 percent.

A farmer must transport a fox, goose and bag of beans from one side of a river to
another using a boat which can only hold one item in addition to the farmer, subject to
the constraints that the fox cannot be left alone with the goose, and the goose cannot
be left alone with the beans. What is the fewest number of trips the farmer has to take
in order to transport all three safely to the other side of the river?
Show working using any appropriate mathematical representation(s)​

Answers

Answer:

The man in the goose cross the river, with the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

Step-by-step explanation:

Answer:

4 trips.

Step-by-step explanation:

The man and the goose across the river, leaving the fox and the beans together, he leaves the goose on the other side and goes back across.

The man then takes the fox across the river, and since he can’t leave the fox in the goose together, he brings that goose back.

Again, since the goose and the beans can’t be left together, he leaves the goose and he takes the beans across and leaves with the fox.

He returns to pick up the goose and heads back across the river one last time.

#teamtrees #WAP (Water And Plant)

Solve for x.

3(2)x−24=0

Answers

Answer:

I love algebra anyways

the steps are in the picture with the ans

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Solve for x.3(2)x24=0

Which of the following pairs of lines are perpendicular?

y=3x-4 and y=-1/2 x-5
y=1/2 and y=2x-1
y=x and y=-x
Please help with this. 60 points for this!

Answers

Answer:

y=x y=-x

Step-by-step explanation:

Answer:

y= 12x4

Step-by-step explanation:

i have a degree for this stuff

Please help!!! Thanks

Please help!!! Thanks

Answers

Answer:

Option 2

Step-by-step explanation:

it easy Add them all up and then you get 47/16 then divide them and convert it to mixed number and then you get 2 15/16

Answer:

2 15/16

Step-by-step explanation:

We need to make sure all fractions have the same denominator.

The LCM (least common denominator) is 16.

Now we have to multiply each nunber except 2 1/16 to get a numerator of 16.

1/2: 1x8= 8, 2x8= 16→ 8/16

3/8: 3x2= 6, 8x2= 16→ 6/16

Now every add everything all up.

8/16 + 6/16 + 2 1/16 = 2 15/16

2 15/16 is our answer.

1. There are 9 erasers in each box. How many erasers are in 5 boxes?​

Answers

Step-by-step explanation:

81 i belive ................

Answer:

45

Step-by-step explanation:

I believe that would be the answer.

Find the least common multiple of 5, 2, and 6.
.
X
?

Answers

Answer:

30

Step-by-step explanation:

In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?

Answers

Answer:

3/10

Step-by-step explanation:

let n(B)=students who have a brother

n(S)= students who have a sister

n(U)=n(B)+n(S)+n(BUS)'-n(BnS)

30=12+25+2-n(BnS)

30=39-n(BnS)

n(BnS)=39-30=9

So 9 students have a brother and a sister

Probability=9/30=3/10

The probability that a student who has a brother also has a sister will be 0.30.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings.

The number of students who have both brothers and sisters. Then we have

25 - x + 12 - x + x + 2 = 30

x = 25 + 12 + 2 - 30

x = 9

Then the probability that a student who has a brother also has a sister will be given as,

P = 9 / 30

P = 0.30

The probability that a student who has a brother also has a sister will be 0.30.

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PLEASE HELP ME

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.

PLEASE HELP ME Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.Match the

Answers

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

What is the simplification of the surd expression?

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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I need the corresponding letters on the equation.
A=
B=
C=
D=
E=
F=
G=

I need the corresponding letters on the equation.A=B=C=D=E=F=G=

Answers

Answer:

A = 3

B = 1

C = 2

D = 10

E = 2

F = Not listed

G = 1

Step-by-step explanation:

\(\sqrt[3]{270x^5y^7} =\sqrt[3]{27*10x^5y^7}=3xy^2\sqrt[3]{10x^2y}\)

5/9+ (-4/5)
A. 1/4
B. 11/45
C. -9/14
D. -11/45



PLEASE HELP ILL GIVE BRAINLIST ​

Answers

-11/45 is the correct choice

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds. A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss when combining their special diet with running a mile a day over a period of two weeks. Interested in studying the dietitian's article further, you ask friends who have tried the dietitian's new program and you determine their weight loss to be 3.0 pounds in a two week period, on average. As you set up a hypothesis test to determine if the dietitian's article is correct, what is the dietitian's claim?

a. Adults should run every day to lose weight.
b. The average amount of weight loss is less than 2.52.5 pounds.
c. The average amount of weight loss is greater than 3.03.0 pounds.
d. The average amount of weight loss is greater than 2.52.5 pounds.

Answers

Answer:

d. The average amount of weight loss is greater than 2.5 pounds.

Step-by-step explanation:

After running a mile a day over a period of two weeks, the average amount of weight loss is 2.5 pounds.

At the null hypothesis, we test if this mean is of 2.5, that is:

\(H_0: \mu = 2.5\)

A dietitian, who publishes health articles in a newspaper, states their new diet program helps with additional weight loss.

With the additional weight loss, the dietitian claims that the mean is more than the value presented at the null hypothesis, that is, more than 2.5, and thus, the correct answer is:

\(H_1: \mu > 2.5\)

And thus, the correct option is given by option d.

Week 1 Discussion Hannah McCurley posted Mar 21, 2023 1:42 AM 28 (1) The original balance in Aisha's account was $760. Last week, she wrote five checks to her employees, each for $100. Find Aisha's net balance. evaluate.​

Answers

Answer:

Aisha's original balance in her account was $760.

She wrote five checks to her employees, each for $100.

To find Aisha's net balance, we need to subtract the total amount of the checks from her original balance:

$760 - ($100 x 5) = $260

Therefore, Aisha's net balance after writing the five checks is $260.

Step-by-step explanation:

GCF of 20 and another number is four. Which of these could be the other number

Answers

Answer:

36

Step-by-step explanation:

4 x 9=32

Answer:

5

Step-by-step explanation:

GCF of 20 is 5 and 4. Let's look at our information, we have one of the GCF (Greatest Common Factor) which is 4. We can divide 20 by 4 to get our answer of 5. To check your work you can also multiply 4 and 5 to get 20.

Hope this helped have a great day! :)

If I helped would you mind giving me brainliest? Please and thank you!

7(4p+2q+3r) apply the distributive property to create an equivalent expression

Answers

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

IMAGE ATTACHED PLEASE HELP PLEASE

 IMAGE ATTACHED PLEASE HELP PLEASE

Answers

Answer: first one

Step-by-step explanation: when u divide the equation to (x+2) and (x-1)

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