Solve the system of equations -8y+9x = -5; 8y+7x = -75

Answers

Answer 1

Answer:

x = -5

y = -5

Step-by-step explanation:

-8y+9x = -5; 8y+7x = -75

Add the two equations together to eliminate y

-8y+9x = -5

8y+7x = -75

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

0y + 16x = -80

Divide each side by 16

16x/16 = -80/16

x = -5

Now find y

8y+7x = -75

8y+7(-5) = -75

8y-35 = -75

Add 35 to each side

8y = -40

Divide by 8

8y/8 = -40/8

y = -5

Answer 2

Answer:

[tex]\boxed{x=-5}\\ \boxed{y=-5}[/tex]

Step-by-step explanation:

-8y + 9x = -5

8y + 7x = -75

Add the equations (eliminating the y-variable).

16x = -80

Divide both sides by 16.

[tex]\frac{16x}{16}[/tex] = [tex]\frac{-80}{16}[/tex]

x = -5

Plug x as -5 in the first equation to find y.

-8y + 9(-5) = -5

-8y +-45 = -5

Add 40 to both sides.

-8y = 40

Divide both sides by -8.

[tex]\frac{-8y}{-8}[/tex] = [tex]\frac{40}{-8}[/tex]

y = -5


Related Questions

Please answer it now in two minutes

Answers

Answer:

[tex] r = 17.3 [/tex]

Step-by-step explanation:

We are given the following:

m < T = 87°

TV = u = 11

TU = v = 14

UV = t = ?

Use the Law of Cosines to solve for the value of t as explained below:

[tex] t^2 = u^2 + v^2 - 2(u)(v)*cos(T) [/tex]

[tex] r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87) [/tex]

[tex] r^2 = 121 + 196 - 16.12 [/tex]

[tex] r^2 = 317 - 16.12 [/tex]

[tex] r^2 = 300.88 [/tex]

[tex] r = \sqrt{300.88} [/tex]

[tex] r = 17.3 [/tex] (to the nearest tenth)

Alice is thinking of a number n that she wants her sister to guess. Her first clue is that two less than six times her number is between ten and thirty-four (inclusive). Write a compound inequality that shows the range of numbers that Alice might be thinking of.

Answers

Answer:

10 < 6n -2 ≤ 34

n= {3, 4, 5, 6}

Step-by-step explanation:

number

⇒ n

two less than six times the number

⇒ 6n -2

it is between ten and thirty-four (inclusive)

⇒ 10 < 6n -2 ≤ 34

we can solve it as:

10 < 6n -2 ≤ 34     ⇒ add 2 to all sides12 < 6n ≤ 36          ⇒ divide by 6 all sides2 < n  ≤ 6n= (2, 6]

or

n= {3, 4, 5, 6}

Answer:

[2,6]

Step-by-step explanation:

Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.

10≤6n−2≤34

Solve the compound inequality by isolating the variable in the center.

10≤6n−2≤3412≤6n≤362≤n≤6

Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:

[2,6].

you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain

Answers

Answer:  78 ounces of dough was bought.

52 ounces of sauce was bought.

There were 13 guests .

Step-by-step explanation:

Let x = Number of guests

As per given, For each person 6 ounces of dough and 4 ounces of sauce is required.

i.e. Total ounces of dough and sauce together required = 6+4=10

The dough and sauce is 130 ounces all together.

i.e. [tex]10x=130[/tex]

Divide both sides by 10 , we get

x= 13

i.e. there were 13 guests .

Total ounces of dough = 6 x ( Number of guests) = 6 x 13= 78 ounces

hence, 78 ounces of dough was bought.

Total ounces of sauce = 4 x ( Number of guests) = 4 x 13= 52 ounces

hence, 52 ounces of sauce was bought.

The total ounces of dough is 78 ounces

The total ounces of sauce is 52 ounces

The total number of guests is 13

The equation that can be used to represent the question given is:

6a + 4a = 130

Where a represents the number of guests at the party.

The above equation means that the total ounces of dough and sauce bought is a function of the number of guests at the party. These total ounces is equal to 130.

6a + 4a = 130

10a = 130

a = 130 / 10

a = total number of guests = 13

The total ounces of dough = 13 x 6 = 78 ounces

The total ounces of sauce = 13 x 4 = 52 ounces

A similar question was solved here: https://brainly.com/question/16430804?referrer=searchResults

Help mee! Deadliest question.. Asap!!

Answers

Answer:

134 136 138 139 141 142 144 146 147 149 155 165

Step-by-step explanation:

You just had to put least to greatest

Mark the absolute maximum point of the graph.

is the absolute maximum point (-3,5)?​

Answers

Yes, the absolute maximum is at (-3,5).

What true bearing is WSW equivalent to?

Answers

Answer:

S 67.50° W

Step-by-step explanation:

Can someone help me with these two questions I don’t know how to do it and it’s due at 11 I would really appreciate it

Answers

Answer:

6. Unit rate = 1.3 yards per second

7. Unit rate = 0.8 page per minute

Step-by-step explanation:

The unit rate is simply the comparison of 2 quantities, whereby dividing both, the denominator must be 1.

For example, in the graph given comparing distance walked over time, when x (time in s) = 3, y (distance in yd) = 4.

Unit rate represented by the slope is the yards covered per second.

Unit rate = [tex] \frac{4}{3} = 1.33 [/tex]

Unit rate ≈ 1.3 yards per second

For the second graph given, unit rate of the slope is the number of pages read per minute.

From the graph, 4 pages is read at 5 minutes.

Thus,

Unit rate = [tex] \frac{4}{5} = 0.8 [/tex]

Unit rate = 0.8 page per minute

please help me :) Which expression is equivalent to 2 × 2 × 2 × 2 × 2? A.) 10 B.) 2 to the 5 power C.) 4 to the 2 power D.) 5 to the 2 power

Answers

Answer: ITS B

Step-by-step explanation:

(2)(2)(2)(2)(2)

=32

2^5

=32

Hey there! I'm happy to help!

We are talking about exponents here, which is the power to which a number is raised. What does it mean to raise a number to a power? It means to multiply it a certain number times.

For example, 3 to the the 3rd power is 27 because you multiply 3 three times (3×3×3), giving you 27.

We have 2×2×2×2×2. We see that we have the number 2 and need to raise it to a certain power. Since there are 5 2s, we are raising to the 5th power.

Therefore, the answer is B.) 2 to the 5 power.

Have a wonderful day! :D

Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)

Answers

Answer:

(1 + 3i)(1 – 3i) gives real number product

Step-by-step explanation:

Given the expressions

[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]

From analysis one of the following pairs has real-number products

[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]

Performing operations on

[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]

Performing operations on

[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]

Answer:

C

Step-by-step explanation:

trust

Can someone help me with this problem?

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
х
22°

Answers

Answer:

x=74.3

Step-by-step explanation:

tan 22= opp/adj

tan 22=30/x

x=30/tan 22

x=30/0.40402=74.3 unit

Answer:

x = 74.3 to the nearest tenth

Step-by-step explanation:

In order to solve for x we use tan

tan ∅ = opposite / adjacent

From the question

x is the adjacent

30 is the opposite

So we have

tan 22 = 30/x

x = 30/tan 22

x = 74.25260

x = 74.3 to the nearest tenth

Hope this helps you

What is the measure of each interior angle of a regular nonagon (nine-sided polygon) ? 2 points 60° 120° 140° 40°

Answers

Answer:

the answer is to your question is 140

Answer:

140°

Step-by-step explanation:

9 - 2 = 7

7 x 180= 1260° (sum of all interior angles)

1260 ÷ 9= 140° (measure of one interior angle)

Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?

Answers

Answer:

$10.5 dollars

Step-by-step explanation:

Keep your brains.

Using the data given:

(18+4+12+8)÷4=

42÷4=

$10.5 dollars

Write the equations after translating the graph of y=|1/2x-2|+3. One unit to the left

Answers

Answer:

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Step-by-step explanation:

Given

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

Required

Translate the above one unit to the left

Replace y with f(x)

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]

When an absolute function is translated to the left, the resulting function is

[tex]g(x) = f(x - h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x) = f(x - (-1))[/tex]

[tex]g(x) = f(x + 1)[/tex]

Calculating [tex]f(x+1)[/tex]

[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]

Open bracket

[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Recall that

[tex]g(x) = f(x + 1)[/tex]

Hence;

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Answer:

y=l1/2x-3/2l+3

Step-by-step explanation:

cause im him

NEED HELP ASAP I DONT GET THIS

Answers

Answer:

x = 60

Step-by-step explanation:

In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.

360 = 84 + 75 + 68 + x + 73

Now combine like terms.

360 = x + 300

Now subtract 300 on both sides.

x = 60

And this is the value of x.

Answer:

50 degrees

Step-by-step explanation:

84 + 75 + 68 = 227

227 - 360 = 133

133 - 73 = 50

The answer is 50 degrees.

Is (0, 3) a solution to the following system?
Y=-x+3
Y=2x-3
A No, because it does not check in either equation.
B. No, because it does not check in the first equation.
C. No, because it does not check in the second equation.
D. Yes, because it checks in both equations.

Answers

Solve each equation with (0, 3)

y = -x + 3

3 = -0 + 3

y = 3 (correct since y = 3 in (0, 3))

y = 2x - 3

3 = 2(0) - 3

3 = 0 - 3

3 = -3 (incorrect since it isn't equal)

So... No, because it does not check in the second equation.

Best of Luck!

Mr rigo bought 49 bags

Answers

Answer:

77 bags

Step-by-step explanation:

if he brought 49 bags then he brought 28 more bags49+28=77

There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and then go back down?

Answers

Answer:

two I have no idea of the question

Answer:  49 ways

Step-by-step explanation:  7 possible ways up, 7 ways  down

Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on  Rt 1 down on Rt3. .  . . .  Up on Rt 7, down on Rt7

You can imagine what was left out of the explanation.

Just Multiply 7×7 = 49

Select the correct answer. The capacity in cubic feet of a cylindrical silo is given by the function C(x), where x is the radius of the silo in feet. The area of the circular base of the silo is given by the function A(x). C(x) = 6.28x3 + 18.84x2 A(x) = 3.14x2 Which function, H(x), represents the height of the silo? H(x) = x + 3 H(x) = 2x − 6 H(x) = 2x + 6 H(x) = x − 3

Answers

Answer:

C. H(x) = 2x+6

Step-by-step explanation:

Volume of the cylindrical silo = Area of its circular base × Height

Volume of the cylindrical silo = πr²×H

If the area of the circular base of the silo is given by the function A(x), the volume is given by C(x) and the height is given by H(x), the formula can be expressed as;

C(x) = A(x) × H(x)

The height of the cylindrical silo will be;

H(x) = C(x)/A(x)

Given C(x) = 6.28x³ + 18.84x² and

A(x) = 3.14x²

H(x) = 6.28x³ + 18.84x²/3.14x²

H(x) = x²(6.28x+18.84)/3.14x²

H(x) = (6.28x+18.84)/3.14

H(x) = 3.14(2x+6)/3.14

H(x) = 2x+6

Hence, the function, H(x) that represents the height of the silo is 2x+6.

In Deductive reasoning you start from A __set of rules and conditions to determine what must be true? A. Unknown B.hypothetical C. Induced D. Given

Answers

Answer:

Option D is correct.

In Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.

Step-by-step explanation:

Deductive reasoning is a top-to-down reasoning method that makes its conclusion on the basis of given premise(s) which is/are commonly assumed to be true.

It uses given rules, theorems, conditions, methods etc. to prove that other statements are true or not.

Hence, in Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.

Hope this Helps!!!

A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?

Answers

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

If the length of AC is2x and the length of BC is 3x-5, the value of x is

Answers

Answer:

The value of x is 5 units.

Step-by-step explanation:

Complete Question

In the figure CD is the perpendicular bisector of AB. If the length of AC is 2x and the length of BC is 3x - 5 . The value of x is ?

The figure is presented in the attached image to this solution.

Solution

Using the concept of similar triangles,

We can prove that triangles CDA is similar to triangle CDB.

This can be proved using the SAS congruence property that two sides and an angle between them are the same.

- Side AD = Side DB (Given in the diagram)

- Angle CDA = Angle CDB = 90° (Also evident from the diagram)

- Side CD = Side CD (common side to the two triangles)

Hence, it is evident that

Side AC = Side CB

2x = 3x - 5

3x - 2x = 5

x = 5 units.

Hope this Helps!!!

At a fun park, the cost of a rollercoaster ride and a ferris wheel ride is $10. The cost of a Gravitron ride and a Ferris wheel ride is $12. The cost of a rollercoaster ride and a Gravitron ride is $14. What is the cost of each ride?

Answers

Answer:

r = cost of rollercoaster = 6

f = cost of ferris wheel=4

g = cost of graviton=8

Step-by-step explanation:

r = cost of rollercoaster

f = cost of ferris wheel

g = cost of graviton

r+f = 10

g+f = 12

r+g = 14

Take the third equation and subtract the first equation

r+g =14

-r-f = -10

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

g-f = 4

Take this and add it to the second equation

g-f = 4

g+f = 12

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

2g = 16

Divide by 2

g = 8

Now find f

g+f = 12

8+f = 12

f = 12-8

f=4

Now find r

r+g =14

r+8 =14

r = 14-8

r = 6

the number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will be the ratio of Roberto's cards to David's cards?

Answers

Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio of Roberto's cards to David's cards will be 3:11.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.

If Roberto were to have 18 cards when we start, then David would have 24.

Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

The ratio between Roberto and David is 3:11

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.

Answers

Answer:

All the letter choices are correct.

Step-by-step explanation:

If thats not what you wanted, just comment below. Thank you!

Answer:

All letters showed are correct

Step-by-step explanation:

FI = 20 IH = 19. Calculate the length of GI

Answers

Answer:

7.55

Step-by-step explanation:

3/x = x/19

x² = 57

x = 7.54983....

if x ≥ 5, then 4x _ 20 a) > b) < c) ≤ d) ≥ e) =

Answers

Answer: d

Step-by-step explanation:

x*4=4x

5*4=20

Thus, all the new inequality is is a new, more complex version of the original.  Thus, the sign stays the same.

Hope it helps <3

Answer:

d)  ≥ .

Step-by-step explanation:

When x = 5 4x = 20.

hen x > 5  4x > 20.

A basketball player scored 9 points in two games. What could her scores in each of the games be? This question helps children think about a problem for which there's a range of possible answers. For young children, decomposing numbers within 10 is an important reasoning strategy. There are ten possible answers, for whether the players scored 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 points in Game 1. Changing the number of points is a way to tailor the question for individual needs.

Answers

Answer:

The correct ans is...

4 and 5

Hope this helps....

                        Pls mark my ans as brainliest

1. Calculate Q3 of the following data:
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4

Answers

Answer:

4.75

Step-by-step explanation:

using appropriate properties find
-5/6 x 5/7 - 1/2 x 4/5 - 1/12 x 5/7
part of the chapter rational numbers pls answer quickly as i need it today thanks.
tia

Answers

Answer:

I believe its -68 but i could be wrong, because that's not a rational number, but it could also be -4080/60

Other Questions
If theta is 30 degrees and there is no friction, what would be the block's acceleration down the incline, in meters per second squared? simplify 3(8-4)^2+7*9 Does this table represent a function? Why or why not? A couch sells for $820. Instead of paying the total amount at the time of purchase, the same couch can be bought by paying $400 down and $60 per month for 12 months. How much is saved by paying the total amount at the time of purchase? A 20-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 8%. Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $950. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.) find the slope (7,1)(5,0) URGENT:Do you switch charges for ionic or covalent bonds when naming them? An inductor is connected to the terminals of a battery that has an emf of 12.0 V and negligible internal resistance. The current is 4.86 mA at 0.700 ms after the connection is completed. After a long time the current is 6.80 mA.What are (a) the resistance R of the inductor and (b) the inductance L of the inductor? Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form. In the context of common terms and typical situations related to teacher liability, starting a fistfight or bringing marijuana to school is considered an act that cannot be done lawfully, regardless of how it is performed, and is referred to as _ What tone does this passage convey? Ryans face was purple with rage as he picked up the phone to dial the insurance company. A 200-foot tree fell on my car! he screamed into the phone. This is the worst disaster in the history of modern man! Ryan continued to scream at the agent. humorous satirical pessimistic optimistic rectangleabcd is graphed in the coordinate plane. the following are the vertices of the rectangle:a(2,6),b(5,6),c(5,2) andd(2,2) What is the perimeter of rectangle ABCd? Suppose your organization used function point analysis to estimate costs for software projects. How would the expertise level of a recently hired programmer affect your calculation of their function points on a monthly basis when compared to an older, more experienced programmer Using the Bohr model, determine the lowest possible energy, in joules, for the electron in the Li2+ ion. Which of the following is an example of a visual art? Which choice is equivalent to 4 square root 8 A bit shift is a procedure whereby the bits in a bit string are moved to the left or to the right. For example, we can shift the bits in the string 1011 two places to the left to produce the string 1110. Note that the leftmost two bits are wrapped around to the right side of the string in this operation. Define two scripts, shiftLeft.py and shiftRight.py, that expect a bit string as an input. The script shiftLeft shifts the bits in its input one place to the left, wrapping the leftmost bit to the rightmost position. The script shiftRight performs the inverse operation. Each script prints the resulting string. An example of shiftLeft.py input and output is shown below: Enter a string of bits: Hello world! ello world!H An example of shiftRight.py input and output is shown below: Enter a string of bits: Hello world! !Hello world Translate to an equation and sole: The quotient of h and 26 is -52 You want to buy a new sports coupe for $74,500, and the finance office at the dealership has quoted you a loan with an APR of 6.9 percent for 36 months to buy the car.Required:a. What will your monthly payments be?b. What is the effective annual rate on this loan? Ms. Claggett is sixty-six (66) years old. She has been covered under Original Medicare for the last six years due to her disability and has never been enrolled in a Medicare Advantage or a Part D plan before. She wants to enroll in a Part D plan. She knows that there is such a thing as the "Part D Initial Enrollment Period" (IEP) and has concluded that, since she has never enrolled in such a plan before, she should be eligible to enroll under this period. What should you tell her about how the Part D Initial Enrollment Period applies to her situation?