Which of the following ordered pairs is the solution to the following system of equations?
X + y = 11
x - 4y = -14
(5,6)
(5-6)
(6,5)
(6,-5)

Answers

Answer 1
(6,5)
To cancel a term from both equations you have to multiple the top one by 4 so
4x + 4y = 44
x - 4y = -14
cancel out the y’s from both equations and add the terms from both so you’ll have
5x = 30
divide by 5
x = 6

substitute 6 for x in the first equation
6+y=11
subtract 6 from both sides
y = 5

Related Questions

If 3 is added to three quarter of a certain number, the result is 30.find the original number.

Answers

Answer:

Original number is 36

Step-by-step explanation:

Let,

Number be x

3x/4 + 3 = 30

3x + 12/4 = 30

3x + 12 = 30 × 4

3x + 12 = 120

3x = 120 - 12

3x = 108

x = 108/3

x = 36

A scale drawing of a rectangular park had a scale of 1 cm = 100 m. What is the actual perimeter of the park in meters?

10.1 and 8.8

Answers

Answer:

3780 m

Step-by-step explanation:

First, we find the perimeter of the scale drawing.

perimeter = 2(L + W)

perimeter = 2(10.1 cm + 8.8 cm)

perimeter = 2(18.9 cm)

perimeter = 37.8 cm

Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.

1 cm (drawing) = 100 m (real)

37.8 cm × 100 m/cm = 3780 m

Answer: 3780 m

If AB is parallel to CD and the slope of AB is -3, what is the slope of CD

Answers

Answer:

-3

Step-by-step explanation:

The slopes of parallel lines are equal.

If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3

Answer:

-3

Step-by-step explanation:

There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.

So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.

Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.

Please consider a brainliest, thank you!

X=8,2x+y=12 solve by substitution show work

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's substitute the value of x as 8 in the given equation to find the value of y ~

[tex] \sf2x + y = 12[/tex]

[tex] \sf(2 \times 8) + y = 12[/tex]

[tex] \sf16 + y = 12[/tex]

[tex] \sf y = 12 - 16[/tex]

[tex] \sf y = - 4[/tex]

how many integers between 100 and 999 (inclusive) have distinct digits

Answers

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

2y-7.4y=141.36
solve for y

Answers

2y-7.4y=141.36
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18

Which of the following statements is the only
sentence that is error-free?

Answers

I don’t really know what the answer is

In the inequality -4n + 3 > 7, you will need to flip the inequality sign to solve for n. True False

Answers

Answer:

True because you need to divide by -4 at one stage. Dividing by  a negative number will reverse the inequality.

Step-by-step explanation:

[tex]-4n+3>7\\\\\implies -4n >7-3\\\\\implies -4n> 4\\\\\implies n<\dfrac{4}{-4}\\\\\implies n<-1\\\\\text{Interval,}~ (-\infty, -1)[/tex]

Jeremy's dog is on an 11-foot leash that is tied to a pole, as shown in the diagram.

What is the area of the circle in which the dog can run? Use 3.14 for PI. Round your answer to the nearest square foot.

O 69 square feet
O 108 square feet
O 380 square feet
O 1520 square feet

Answers

Answer:

380

Step-by-step explanation:

area of a circle is pir^2

3.14(11)^2

3.14(121)

=380sqft

solve: 8+ x/2= 1/4 (x-4)-1
A. X = -40
B. X = 40
C. There are infinitely many solutions.
D. X = -24

Answers

|3x+1|=4 : x=−
5
3 ​or x=1
Pasos
|3x+1|=4
Aplicar las propiedades de los valores absolutos: Pi |u| = a, a>0 entonces u = a or u = −a
3x+1=−4 or 3x+1=4
Mostrar pasos
3x+1=−4 or 3x+1=4

You need $145 in cash if you withdraw money from your savings account using the ATM how much will you need to withdraw in order to have at least one $145 based upon how ATM’s dispense money?

Answers

Answer:

290

Step-by-step explanation:

145 withdrawal free + 145 in cash = 290.

Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?

Answers

Answer:

25*1/5(or 0.2)=

5

she gives a way 5 toys

Hope This Helps!!!

The number of toys that she gives away will be 5.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Cynthia gave 1/5 of her toys to her little sister.

If she had 25 toys.

Then the number of toys that she gives away will be given by the product of 25 and 1/5.

⇒ 25 x 1 / 5

⇒ 5

The number of toys that she gives away will be 5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Can someone please help me with this

Answers

Answer:

Ted's Organic Market

Step-by-step explanation:

Calculate the unit cost ( price per pound )

From the table using $16.50 for 6 lbs , then

unit cost = $16.50 ÷ 6 = $2.75

From the graph using $8.40 for 3 lbs , then

unit cost = $8.40 ÷ 3 = $2.80

Ted's Organic Market has the better price

Need help ASAP! Problem and directions in picture;)

What is the value of ?

Answers

We know, an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles. Therefore, Angle V + Angle U = Exterior Angle T

[tex]50 + angle \: \: u \: \: = 115 \\ = > angle \: \: u \: = 115 - 50 \\ = > angle \: \: u \: \: = 65[/tex]

Answer:

Angle U is 65°.

Hope you could get an idea from here.

Doubt clarification - use comment section.

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Number of revolutions × circumference

[tex] \sf500 \times 4.4[/tex]

[tex] \sf2200 \: m[/tex]

Hence distance covered = 2200 m = 2.2 km

what is 4 + 3i^2 and is it real or imaginary?

Answers

Answer:

4+6i

Step-by-step explanation:

Distribute the 2 to the 3i

You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.

It's a complex imaginary number

Real

[tex]\\ \sf\longmapsto 4+3i^2[/tex]

i^2=-1

[tex]\\ \sf\longmapsto 4+3(-1)[/tex]

[tex]\\ \sf\longmapsto 4-3[/tex]

[tex]\\ \sf\longmapsto 1[/tex]

Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?

Answers

Answer:

42

Step-by-step explanation:

the half of 42 is 21 so if she mailed the half of it then she just have 21 cards

in a sale there is a 40% discount.what is the discount on a dress that costs $150.00​

Answers

Answer:

$90 or $60

Step-by-step explanation:

The staff at Aretha's Furniture built 60 chairs and stools in one day. It takes one person 3 hours to produce a chair and 2hours to build a stool. How many of each were made if the staff of 12 people worked 8 hours each? x+y= 60; 3x + 2y = 96 x + y = 96; 2x + 3y = 60 You can use a system of equations to find the answer. Let x = the number of chairs, and y = the number of stools. x + y = 60; 2x + 3y = 12 x+y= 60; 3x + 2y = 12 +​

Answers

Answer:

Number of chairs = 24

Number of stools = 12

As about the question number 2, I think you should check whether the question you copied is correct are not.

Step-by-step explanation:

1. One person,

Three hours for a chair and two hours for a stool

Therefore, 12 people working for 8 hours;

Per person produced two chairs and one stool as 3+3+2=8 hours

12×2= 24 chairs and 12×1=12 stools.

24. What are the x and y intercepts of the following
equation: 4x – 3y = 24
A. X-intercept (6,0) and y-intercept (0,-8)
B. x-intercept (-8,0) and y-intercept (0,6)
C. x-intercept (4,0) and y-intercept (0,-3)
D. x-intercept (-3,0) and y-intercept (0,4)

Answers

Answer:

C

A. X-intercept (6,0) and y-intercept (0,-8) wrong

B. x-intercept (-8,0) and y-intercept (0,6)wrong

C. x-intercept (4,0) and y-intercept (0,-3) correct

D. x-intercept (-3,0) and y-intercept (0,4) wrong

Jane wrote all natural numbers from 5 to 12. including 5 and 12.

how many numbers did Jane write?

Answers

8 numbers including 5 & 12 :)

What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2

Answers

Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?​

Answers

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

Pls help me
With the hard math problem

Answers

Answer:

A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to Springfield

Hoped this helped.

[tex]BrainiacUser[/tex]

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teacher ratio proportional to the middle schools. How many students will Cristine find when she gets to high school?
A) 900
B) 1100
C) 2200
D) 2500

Answers

Answer: C) 2200

Step-by-step explanation:

Can someone please take the time out of they’re day and help me and with this question

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 100) and (x₂, y₂ ) = (2, 200) ← 2 points on the line

m = [tex]\frac{200-100}{2-0}[/tex] = [tex]\frac{100}{2}[/tex] = 50

The line crosses the y- axis at (0, 100 ) ⇒ c = 100

y = 50x + 100 ← equation of line

where y is monthly savings and x the time in months

(b)

Slope is the monthly deposit , that is $50 per month

The y- intercept indicates the original amount in her account , that is $100

a calculus problem that i have no idea what to do please help

Answers

Answer:

-[tex]\sqrt{5}[/tex]/8

Step-by-step explanation:

so you are looking to find the second derivative of this function, given the derivative. that means that all you have to do is take the derivative of that function and then plug in 16 for h.

rewrite the function to be -(5h)^1/2

then take its derivative using power rule and chain rule

-(1/2)*(5)*(5h)^(-1/2)  **the five comes from the chain rule and taking the derivative of the 5h

then plug in 16 for h to find -[tex]\sqrt{5}[/tex]/8 or about -0.2795

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*

In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve this using Elimination Method, MUST SHOW WORK)

Answers

Answer:

23 starfish, 7 octopi

Step-by-step explanation:

x=starfish

y=octopi

x+y=30

5x+8y=171

-5(x+y=30)

5x+8y=171

-5x-5y=-150

5x+8y=171

3y= 21

y=7

x+7=30

x=23

23 starfish, 7 octopi

I have no idea how to do this. Please help. ​

Answers

Answer:

Area is 5 cm and perimeter is 12 cm

Step-by-step explanation:

Area: top left sqare:

1cm * 1cm = 1 cm

bottom rectangle:

1cm * 3 cm = 3 cm

top right square:

1cm * 1cm = 1 cm

Perimeter:

1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm  = 12 cm

How is Maths used in Construction??
Can someone help me with 10 - 15 pages

Answers

Answer:

They measure the area, volume, length, and width, in construction

10 - 15 = -5

Step-by-step explanation:

HOPE THIS HELPED

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