Use the system of equations to answer the question.
2x + 3y = 8
x-y=5

Answers

Answer 1

Answer:

x = 23/5

y = -2/5

Step-by-step explanation:

We are given two equations

2x + 3y = 8     eq. 1

x - y = 5         eq. 2

From eq. 2

x - y = 5

x = 5 + y       eq. 3

Substitute eq. 3 into eq. 1

2x + 3y = 8     eq. 1

2(5 + y) + 3y = 8

Simplify the equation

10 + 2y + 3y = 8

10 + 5y = 8

5y = 8 - 10

5y = -2

y = -2/5

or

y = -0.4

Substitute the value of y into eq. 3 to get the value of x

x = 5 + y       eq. 3

x = 5 - 2/5

x = 23/5

or

x = 4.6

Therefore, the solution set is

(x, y) = (23/5, -2/5)

This is the point of intersection where these two equations meet.


Related Questions

Please help. will mark brainliest if its right.180-x=3(90-x)

Answers

hope it helps you please mark me as brainliest

(SAT Prep) In the given figure, the reflex angle ∠DOB has measure of 3.5y while the measure of ∠AOD is y. Find the measure of the non-reflex ∠DOB in degrees.

Answers

Answer:

252°

Step-by-step explanation:

In the figure attached, the diagram is shown. There, we can see that

∠DOB = ∠AOD + ∠AOC + ∠COB

Replacing with the equivalences: ∠DOB has a measure of 3.5y, the measure of ∠AOD is y, and ∠AOC + ∠COB measure 180°, we get:

3.5y = y + 180°

3.5y - y = 180°

2.5y = 180°

y = 180°/2.5

y = 72°

Therefore, ∠DOB = 3.5*72° = 252°

Answer:

108 degrees

Step-by-step explanation:

m∠DOB=m∠AOD+m∠AOC+m∠COB And then we substitute, m∠DOB=3.5y, m∠AOD=y, m∠AOC+m∠COB=180 degrees. So the equation will then be 3.5y=y+180 degrees

y= 72

m∠DOB=3.5 x 72   m∠DOB=252 degrees, this is the reflex angle.

360-252=108 degrees, the non-reflex m∠DOB= 108 degrees

The number of sunrises that happen each year is measured in the __
A. hundreds
B. ones
C. tens
D. thousands

Answers

Mostly likely the hundreds

16. Does this shape show thirds?
Explain.

Answers

Answer:

No

Step-by-step explanation:

This shape does not show thirds. Although the shape is cut up into 3 shapes, the shapes are not equal. Imaging a cake... would you be happy if your friend got the rectangle, but you got the square. Cutting something into thirds is the same way. They all need to be equal.

Answer:

No, It shows 1/2

Step-by-step explanation:

The small squares would constitute to a total of 4, so it shows 2/4 which is 1/2

Converse, inverse, contrapositive or syllogism

Thanks

Answers

Answer:

7. Contrapositive

8. Converse

9. Inverse

Step-by-step explanation:

Contrapositive is the flipping of the pos/neg and the clauses.

- EX: If it rains today, the ground will be wet -> If the ground is not wet, it did not rain today

Converse is the switching of the clauses

- EX: If I just ate mac and cheese, I am happy -> If I am happy, I just ate mac and cheese

Inverse is swapping the positive/negative (not)

- EX: If I am hungry, I want food -> If I am not hungry, I do not want food

Hope this helps!

The governor of state A earns ​$49,610 more than the governor of state B. If the total of their salaries is ​$282,720​, find the salaries of each. The governor of state A earns ​$?, and the governor of state B earns ​$?.

Answers

Answer:

The governor of state A earns ​$ 166,165, and the governor of state B earns ​$ 116,555

Step-by-step explanation:

the governor of state A  salary = x+ 49610

the governor of state B salary = x

together : 282720 = x+49610 +x

282720 = 2x + 49610  subtract 49610 from both sides

282720-49610 = 2x

233110 = 2x divide by 2

x = 116555

plug in x in the governor of state A  salary = x+ 49610 = 116555 + 49610 = 166,165

How can AABC be mapped to AXYZ?
First, translate vertex A to vertex Oy
Next,
AABC to align the sides and angles.

Answers

Answer:

Step-by-step explanation:

there you go

First vertex A to be translate to vertex X and than rotate ΔABC to align the sides and angles.

How can AABC be mapped to AXYZ?

What are Similar triangles?

Similar triangles, are those triangles which have similar properties ,i.e. angles and proportionality of sides.

To obtain the mapping of triangle to relative similar triangle.
we have to make it congruent triangle first. by rotating or translating.


For given conditions First vertex A to be translate to vertex X and than rotate ΔABC to align the sides and angles.

Thus the condition now fulfilled.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

calculate the area of a circle with a diameter of 8 feet

Answers

Answer: 50.27

Step-by-step explanation:

Area = pi r^2

= pi x 16

Answer:

50.265 [tex]ft^{2}[/tex]

Step-by-step explanation:

The formula of the area of a circle is [tex]\pi r^{2}[/tex] and the diameter is double the amount as the radius, so the radius would be 4 feet. 4 squared is 16. Multiply that by pi to get your answer, 50.265[tex]ft^{2}[/tex].

PLEASE HELP WILL MARK BRAINIEST

Answers

Answer:

Because all consecutive angles in a parallelogram are supplementary, m∠SVU = 180 - 57 = 123°.

Answer:

Step-by-step explanation:

In a parallelogram, sum of adjacent angles is 180

∠TSV + ∠SVU = 180

57 + ∠SVU = 180

∠SVU = 180 - 57

∠SVU = 123°

130% of what number is 36

Answers

Answer:

27.7

Step-by-step explanation:

130%=1.3

1.3x=36

x=27.7

27.6923077
Or
27.7
...........

2x^2+12x-14=0 by completing the square

Answers

First factor 2 from the quadratic:

[tex]2x^2+12x-14=2(x^2+6x-7)[/tex]

Now complete the square:

[tex]x^2+6x-7=x^2+6x+9-16=(x+3)^2-16[/tex]

So we have

[tex]2x^2+12x-14=0\implies2(x+3)^2-32=0[/tex]

[tex]\implies2(x+3)^2=32[/tex]

Solve for x:

[tex](x+3)^2=\dfrac{32}2=16[/tex]

[tex]x+3=\pm\sqrt{16}=\pm4[/tex]

[tex]\implies x=-3+4=1\text{ OR }x=-3-4=-7[/tex]

and so the third option is correct.

Who Ever Answers Correct I'll Mark Brainliest. 1. Can the following situation be described by a positive integer or a negative integer? David deposited his weekly paycheck from his job in the amount of $287. Neither Positive Negative 2. List the following numbers from least to greatest: -4, |-6|, 3, -2, |5| |-6|, |5|, 3, -2, -4 -4, -2, 3, |5|, |-6| |-6|, 5, -4, 3, -2 |-6|, -4, -2, 3, |5| 3. Which rational number is the opposite of 1.9? Select all that apply. -1 9/10 1 9/10 -1.9 4. Find the sum of - and it's opposite. 7/8 2/3 0 14/16

Answers

Answer:

-1.9 is the one

Step-by-step explanation:

Saturn is 8.867 *10g miles away from the sun. How many times farther is Uranus

Answers

Answer:

957.63- 194.7= 763 miles if you need to do the decimals it will be 763.853

Please mark.

Thanks

Jake

Solve the following quadratic equation using the quadratic formula.
5x^2 - 8x + 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.

Answers

Graph each side of the equation. The solution is the x-value of the point of intersection.
x
=
0
,
8
5

5{ 10[6 + 2(17 - 8) + 12]}

Answers

Answer: 1,800

Step-by-step explanation:

=5(10(6+(2)(9)+12))

=5(10(618+12))

=5(10(24+12))

=5(10)(36)

=(5)(360)

=1800

Hope this helps :)

The right answer is 1800

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

A random variable, X, is defined for the number of times a coin lands on heads when flipped 4 times. The probability distribution is below.

X 0 1 2 3 4
P(X) 1/16 4/16 6/16 4/16 1/16
What is the expected value for the number of heads you expect after 4 coin flips?

Answers

Answer:

1/16

Step-by-step explanation:

Mark me brainlest plz.

Question 8 *
2 points
8. In the diagram below of LEO and TAM, angles A and E are right angles, and
LEO - TAM.
If TM - 12 and MA = 6, what is the measure of angle L, to the nearest degree?
1. 27°
2. 30°
3. 60°
4. 63°

Answers

Answer:

27

Step-by-step explanation:

i did it

Someone wanna help on this one? The Chain Reaction bike shop is running a special that allows a family to rent all the bikes and equipment they need for an hourly rate and a nonrefundable $15 deposit. The Morales family can rent bikes for 2 hours for $57. The cost of the rental can be represented by a linear function where x represents the number of hours the bikes are rented and y represents the total cost of the rental. What is the equation here and what are the slope and y-intercept?

Answers

Someone pls answer I need this as well

Answer:

y=21x+15, where 21 is the hourly rate and the slope, 15 is the non-refundable deposit, and y is the total amount payed

Step-by-step explanation:

the slope is the hourly rate, the y int is the deposit of 15$

thus,

to find the slope, we can use the equation:

57=m*2+15

42=2m

m=42/2

m=21

thus, the whole equation is:

y=21x+15, where 21 is the hourly rate and the slope, 15 is the non-refundable deposit, and y is the total amount payed

you don't have to answer number 15. but pls answer the rest!

BEST ANSWER GETS BRAINLESST AND FOLLOW ASP HURRY!!​

Answers

Answer:

Step-by-step explanation:

13. 2,300mg > 2g

14. 3kg = 3,000g

16. 4120mg = 4.12g

17. 75g < 800mg

Which of the following is an odd function?
f(x) = 3x²+x
fx) = 4x^3 +7
fx) = 5x^2 + 9
f(x) = 6x^3 + 2

Answers

The third one seems like an odd function because I haven’t seen a function like that to be honest. Hope this little explanation helps, I tried my best

Copy and complete. QUICKLY PLEASE

Answers

Answer:

this site is trash

Step-by-step explanation:

Answer:

bro there is no picture

Step-by-step explanation:

please help me on this question.

Answers

answer=

72

hope this helps

:)

Which is true about the line whose equation is y + 2 = 0?

Answers

Answer:

The y-intercept is -2

Step-by-step explanation:

Based on the equation y + 2 = 0 (y = -2), you can eliminate all answers except for the second one. This is because, the y is the horizontal line, while the x is the vertical line. The value of x does not always equal the value of y, only sometimes. Finally, the slope of y = -2 is 0, not undefined. However, the slope of x = -2 is undefined.

If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?

Answers

Step-by-step explanation:

PRIMERO CONVIERTES MINUTOS A HORAS

15 MIN = 0.25 h

LUEGO CON LA ECUACIÓN DE GALILEI:

x = 6.5 mi/0.25 h = 26 mi

Solve by taking the square root of both sides 3(x-1)^2-162=0
a. x = -1 - 3 sqrt 6 or -1 + 3 sqrt 6
b. x = 1 - 3 sqrt 6 or -1 + 3 sqrt 6
c. x = -1 - 3 sqrt 6 or 1 + 3 sqrt 6
d. x = 1 - 6 sqrt 6 or 1 + 6 sqrt 6

Answers

Answer:

see explanation

Step-by-step explanation:

Given

3(x - 1)² - 162 = 0 ( add 162 to both sides )

3(x - 1)² = 162 ( divide both sides by 3 )

(x - 1)² = 54 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{54}[/tex] = ± 3[tex]\sqrt{6}[/tex] ( add 1 to both sides )

x = 1 ± 3[tex]\sqrt{6}[/tex]

x = 1 - 3[tex]\sqrt{6}[/tex] or x = 1 + 3[tex]\sqrt{6}[/tex]

How many solutions does the equation have 4p + 1 = 49 - 7

Answers

Answer:

so one solution

Step-by-step explanation:

4p+1=49 - 7

minus 1 to -7= -8

4p= 49-8

4p=41, divided by 4 and you'll get a decimal, 10.25

Answer:

1 solution if solving for p.

Step-by-step explanation:

If solving for p:

4p+1=49-7

4p+1=42

Subtract 1 from both sides

4p=41

Divide both sides by 4

p=10.25

There is only one solution, 10.25

But I've seen this question on a Quizizz and the answer was no solutions. I don't think that's correct but... might be because the question didn't ask to solve for p.

Complete the sentence below.

If the sides of a triangle are 3, 4, and 5, then, to the nearest degree, the measure of the smallest angle of the triangle is ____°.

Answers

Hi there!

For a 3,4,5 triangle the smallest angle measure would be 45 degrees.

Hope this helps !

Answer:

45˚

Step-by-step explanation:

the 3,4,5 triangle is the basic right triangle. The 3 and for angle worth is 45˚ and the 5 is the 90˚

What is the best estimate of the measure of the angle shown?

Answers

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

We know it is less than a right angle or 90 degrees It is bigger than 1/2 of a right angle or bigger than 45 degrees

The best estimate is 65 degrees

Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is

Answers

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = [tex]\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =[tex]\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10[/tex]

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 years. Her account balance is a result of Jenna’s .

Answers

Answer:

$43,625

Step-by-step explanation:

Hello,

The question is a direct application of compound interest and we'll approach this question using the formula of compound interest.

A = P(1 + r/n)^nt

A = compound interest

P = principal

r = rate of the interest

n = number of times compounded

t = time interval for the money to be compounded.

Data;

A = ?

P = $2,500

r = 10% = 0.1

n = 1 (since it's compounded annually)

T = 30 years

A = 2,500 [1 + (0.1 / 1)]^(1 × 30)

A = 2,500 × [1 + 0.1]³⁰

A = 2,500 × 1.1³⁰

A = 2,500 × 17.45

A = $43,625

In 30 years, Jenna would've saved $43,625

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