What is the solution to the system of equation s x+y=4. X=y-1

Answers

Answer 1

Answer:

x = 3/2

y = 5/2

Step-by-step explanation:

x + y = 4

x = y - 1


substitute y - 1 in for x in the first equation, to find y


y - 1 + y = 4

2y - 1 = 4


add 1 on both sides

2y - 1 = 4

+1 +1

2y = 5


divide by 2 on both sides

2y/2 = 5/2

y = 5/2


subtitute y in for the second equation, to find x

x = 5/2 - 1

x = 5/2 - 2/2

x = 3/2


so x = 3/2 and y = 5/2

to double check, plug x and y in the first equation

3/2 + 5/2 = 4

8/2 = 4

4 = 4


Related Questions

A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?

Answers

Answer:

4 yards

Step-by-step explanation:

IG;youngdestinyofficial

Elise had 1/4 of an apple pie. She gave 1/4 of what she had to her friend Danny. What fraction of the whole pie did Danny get?

Answers

Danny had 1/4 of the pie

The answer to your question is =

Danny got 1/16 of the whole pie

The Han family just enjoyed dinner at Mizumi restaurant. The bill was $160.18. The tax rate is 8.25% and the restaurant charges a 15% service fee on each bill, not including the tax.

a) what was the total amount the Han family paid for dinner?

Answers

Answer:

$198.62

Step-by-step explanation:

The dinner itself is $160.188.25% tax on $160.18 is approximately $13.21A 15% service fee on $160.18 is approximately $25.23

**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.

160.18 + 13.21 + 25.23 = 198.62

Hope this helps!

La integral indefinida de la función h(x)=2x+5x4

Answers

Answer:

x^2 + x^5 + C.

Step-by-step explanation:

∫2x + 5x^4 dx

= 2 * x^2/2 + 5 * x^5/5  + C

= x^2 + x^5 + C.

Please help me i need help!!!

Answers

Answer:

sorry cant help with that

Step-by-step explanation:

Trigonometric equations
4sin^2(theta) + 4 = 5

Answers

Answer:

Θ = (π/6) + πn

Θ = (5π/6) + πn

Step-by-step explanation:

4sin²Θ + 4 = 5

            -4    -4

4sin²Θ = 1

÷4         ÷4

sin²Θ = (1/4)

√sin²Θ = √(1/4)

sinΘ = (1/2), (-1/2)

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

Θ = arcsin (1/2)

Θ = (π/6)

to find the quadrant subtract π

Θ = π - (π/6)

Θ = (5π/6)

Find the period

2π / |b|

b = 1

2π/1 = 2π

The sin Θ function is 2π, so values will repeat 2π in both directions.

Θ = (π/6) + 2πn (n is the variable)

Θ = (5π/6) + 2πn

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

sin Θ = (-1/2)

Θ = arcsin (-1/2)

Θ = (-π/6)

To find the second function add π

Θ = 2π + (π/6) + π

Θ = (7π/6)

Find the period

2π/|b|

2π/1

(-π/6) + 2π

2π       6         π

----- ×  ----- -  -----

1           6        6

Θ = (11π/6) will repeat every 2π in both directions

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

Θ = (π/6) + 2πn

Θ = (5π/6) + 2πn

Θ = (7π/6) + 2πn

Θ = (11π/6) + 2πn

(π/6) + π = (7π/6)

(5π/6) + π = (11π/6)

Θ = (π/6) + πn

Θ = (5π/6) + πn

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

I hope this helps!

what is 1/4 - 41 1/4 + 3

Answers

Answer:

-38

Step-by-step explanation:

i hope this helps you

good luck on your quiz or lesson!

Answer:

-38

Step-by-step explanation:

[tex]\frac{1}{4} = 0.25[/tex]

[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]

[tex]0.25-41.25+3[/tex]

[tex]-41+3[/tex]

[tex]-38[/tex]

When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?

A. The answer is incorrect; the trinomial cannot be factored.

B. The answer is incorrect; the plus sign should be a minus sign.

C. The answer is incorrect; the minus sign should be a plus sign.

D. The answer is correct.

Answers

Answer:

B.The answer is incorrect; the plus sign should be a minus sign.

Step-by-step explanation:

[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]

Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?

Answers

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?

A.
20 grapes

B.
60 grapes

C.
80 grapes

D.
90 grapes

Answers

Answer:

C. 80 grapes

Step-by-step explanation:

6 / 3 = 2

Each person gets 2 pounds of grapes.

2 X 40 = 80

1 pound = 40 grapes

2 pound = 80 grapes

Find the derivative of the image below

Answers

[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]

[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]

the question is below

Answers

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

[tex]\frac{B_1 + B_2}{2}* h[/tex]

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.7559.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : [tex]a^2 + b^2 = c^2[/tex]

a is a legb is a legc is the hypotenuse

Images attached for your reference

* WILL MARK BRAINIEST*
PLEASE HELP
7.03 Understanding Compound Events -

Record your results here:

Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))

Answers

Answer:

Tails, tail: 26

Heads: 9

Heads Tails: 26

Tails: 15


Step-by-step explanation:
(credit to the person who answered your question before me)

Have a great rest of your day
#TheWizzer

7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.

Answers

Answer:

it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost

40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?

Answers

Both are supplementary

<A+<C=180112+<A=180<A=180-112<A=68

A theater is selling tickets for a musical. One attendee purchased 2 adult tickets and 5 student tickets, and the total cost was $64. Another attendee purchased 3 adult tickets and 4 student tickets, and the total cost was $68. Write a system of equations to find the price of an adult ticket and a student ticket. Let x be the price of an adult ticket and y be the price of a student ticket.

Answers

Answer:

Price of an adult ticket: 12$

Price of a student ticket: 8$

Step-by-step explanation:

Let x be the price of an adult ticket, and y be the price of a student ticket.

We have the equation:

2x + 5y = 64

3x + 4y = 68

=> x - y = 4

2x + 5y = 64

=> x = 4+y

2*(4+y) + 5y = 64

=> x = 4+y

8 + 2y + 5y = 64

=> x = 4 + y

7y = 56

=> x = 4 + y

y = 8

=> x = 12

y = 8

the sum of 3x and 1 is greater than-5 and less than or equal to 10

Answers

Answer:

x is greater than -2 and less than or equal to 3

Step-by-step explanation:

so the 3x + 1 is greater than -5

so 3x is greater than -6

we divide both sides by 3

then we find out that x is greater than -2

we also know that 3x + 1 is less than or equal to 10

so 3x is less than or equal to 9

we divide both sides by 3

then we find out that x is less or equal to 3

so we can say that x is greater than -2 and less than or equal to 3

Necesito saber cual funcion es

Answers

Answer:

A function is defined as a relation between a set of inputs having one output each..

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

¿Qué es la función explicar?

Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.

I need help with this question really badly please help.

Answers

D: of ;;;9d 38383 valise irl for 1

Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?

Answers

The height of the pole is  53 m

What is the height of the pole?

The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position

Let the height of the pole be x

We know that;

Tan 38 = 1.67 + x/70

Tan 38 * 70 = 1.67 + x

x = (Tan 38 * 70 ) - 1.67

x = 53 m

Thus we can see that the height of the pole is about 53 m

Learn more about angle of elevation:https://brainly.com/question/21137209

#SPJ1

$1 = £0.73. Change $346 into £

Answers

Answer:

£252.58

Step-by-step explanation:

$346 × £0.73/$1 = £252.58

Please rate!! I hope this helps!!

solve the equation

answer: x=

Answers

Answer:

Hope the picture will help you

What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10

Answers

Answer:

  3

Step-by-step explanation:

You want the mean absolute deviation of the set of numbers ...

  {9, 2, 9, 9, 5, 4, 9, 1, 4, 10}

MAD

The mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.

The attachment shows those calculations.

The MAD of this set of data is 3.

__

Additional comment

The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.

When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)

<95141404393>

Camila has a coin collection. She keeps 13 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?

Answers

Answer:

130

Step-by-step explanation:

We need to keep adding 13 together until we have done this 10 times :)

10%: 13

20%: 26

30%: 39

40%: 52

50%: 65

60%: 78

70%: 91

80%: 104

90%: 117

100%: 130

Have an amazing day!!

Please rate and mark brainliest!!

double the difference of 6 and x

Answers

2(6-x)
Explanation: First, let’s write the difference of six and x. When the word difference is used, we are talking about subtraction. So the difference of six and x would be 6-x.
To double something just means to multiply by two. So put 6-x in parentheses and two on the outside and you have your answer.
2(6-x)

Which polynomial function could be represented by the graph below?

Answers

Answer:

C

Step-by-step explanation:Only one that makes sence just look at the graph

Determine whether the statement makes sense or does not make sense, and explain your reasoning.
A candidate received the majority of first-place votes and lost the election.
Choose the correct answer below.

A. The statement does not make sense because the candidate with the majority of the first place votes using the plurality method is the winner.
B. The statement does not make sense because the candidate with the majority of the first place votes in an election is always the winner.
C. The statement makes sense because the Borda count method using preference ballots can result in a situation where this can happen.
D. The statement makes sense because the plurality method can result in a situation where this can happen.

Answers

A candidate received the majority of first-place votes but loses hows that A. The statement does not make sense.

What is plurality voting?

It should be noted that plurality voting simply means when each voter is allowed to vote for only one candidate.

In this case, a candidate received the majority of first-place votes will win the election. Here, the majority of the first place votes using the plurality method is the winner.

Learn more about votes on:

https://brainly.com/question/3710029

solve for t; 1/11=cos((2π/3)t)

Answers

Answer:

Step-by-step explanation:

Method

Take the inverse Cos of both sides. That will give you the angle on the left.

From there you can solve for t

cos-1(1/11) = cos-1 cos ((2pi/3)t)

1.4798 = 2*pi*t/3                              Multiply both sides by 3/2

1.4798 * 3/2 = (2pi*t/3)*3/2

2.2196 = 2*pi*t                                 Divide both sides by 2*pi

2.2196 / (2*pi) = t

t = .3534

This was done by setting my calculator to radians. 1.4798 is a radian measure.

Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32

Answers

Answer:

Step-by-step explanation:

hello :

the sum is : Sn = n/2(U1 + Un )     and U n = U1+(n-1)r    

given :    U1 = 1      r=4-1=7-4=...= 3      n= 32

so :  U 32 = 1+(32-1)3= 94

S32 = 32/2 (1+94) = 1520

A runner is preparing for a marathon that is divided into 5 sections of equal distance. The Marathon is 42.195 km long. How long is each section of the marathon?
A. 210.975
B. 21.0975
C. 8.439
D. 0.8439

Answers

Answer:

8.439

Step-by-step explanation:

Since the marathon is divided on 5 EQUAL sections, and it is 42.195 km long, you only need to divide the length of the marathon by 5.

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