3x+2y=4
2x-3y=7

a) 2, - 1
b)2 , 1
c)1 , 2
d)- 2 , - 1

Answers

Answer 1

Answer:

a) 2, -1

Step-by-step explanation:

3x + 2y = 4

2y = 4 - 3x

y = 2 - 3x/2

2x - 3y = 7

2x - 3×(2 - 3x/2) = 7

2x - 6 + 9x/2 = 7

4x/2 + 9x/2 = 13

13x/2 = 13

13x = 26

x = 2

3×2 + 2y = 4

6 + 2y = 4

3 + y = 2

y = -1


Related Questions

Hi guys pls answer this it’s easy tbh

Answers

365 that’s the answer

Answer:

this is the accurate answer of your questions

25 points ! :)
Can anyone solve this ? with explanation?
[tex]A brick of weight 20N and dimensions 20 cm x1Ocm x Scm is placed once on its largest surface area and then on its smallest surface area on the ground. Find out the ratio of the pressure exerted by the brick.}}[/tex]

Answers

Answer:

1 : 4

Step-by-step explanation:

[tex]Pressure = \frac{F}{A}[/tex]

[tex]P_1 = Pressure \ on \ the \ largest \ surface \ area[/tex]

     [tex]=\frac{F}{20 \times 10 \times 20}[/tex]

[tex]P_2 = Pressure \ on \ small \ surface \ area[/tex]  

      [tex]=\frac{F}{20 \times 10 \times 5}[/tex]

[tex]\frac{P_1 }{P_2 }= \frac{20 \times 10 \times 5}{20 \times 10 \times 20} = \frac{5}{20} = \frac{1}{4}[/tex]          [tex][ \ \ \frac{F}{20 \times 10 \times 20}\ \div\ \frac{F}{20 \times 10 \times 5} => \frac{F}{20 \times 10 \times 20} \times \frac{20 \times 10 \times 5}{F} \ ][/tex]        

Therefore ,

     [tex]P_1 : P_2 = 1 : 4[/tex]

Given :

The dimensions of the brick are :

20 cm

10 cm

5 cm

Solution :

[tex]\large\boxed{\boxed{\mathrm{pressure = \frac{Force}{Area}}}}[/tex]

The largest surface area would be : -

[tex]➢ \: \: 20 \times 10[/tex]

[tex]➢ \: \: 200 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.02\: \: m {}^{2} [/tex]

(product of two greater sides)

pressure applied by greatest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.02} [/tex]

[tex]➢ \: \: \dfrac{20}{2} \times 100[/tex]

[tex]➢ \: \: 1000 \: \: pascals[/tex]

The smallest surface area would be : -

[tex]➢ \: \: 10 \times 5[/tex]

[tex]➢ \: \: 50 \: \: cm {}^{2} [/tex]

[tex]➢ \: \: 0.005 \: \: m {}^{2} [/tex]

(product of two Smaller sides)

pressure applied by smallest surface area of brick :

[tex]➢ \: \: \dfrac{20}{0.005} [/tex]

[tex]➢ \: \: \dfrac{20}{5} \times 1000[/tex]

[tex]➢ \: \: 4000 \: \: pascals[/tex]

Let's find the ratio :

[tex]➢ \: \: \dfrac{1000}{4000} [/tex]

[tex]➢ \: \: \dfrac{1}{4} [/tex]

[tex]➢ \: \: 1 : 4[/tex]

[tex]\mathrm{✌TeeNForeveR✌}[/tex]

6. Find the slope and y-intercept of the line.
y = 7/4x-10

Answers

Answer:

Slope= 7/4

y-intercept = (0, -10)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = 7/4x - 10

↓ Compare to y = mx + b

Slope m = 7/4

y-intercept b = -10

Answer:

slope = 7/4

y-intercept = -10

Step-by-step explanation:

slope intercept form :

y = mx + b

m = slope

b = y-intercept

Use the law of cosines to find the length of a

Answers

Answer:

Step-by-step explanation:

You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:

[tex]\frac{sin55}{175}=\frac{sin42}{a}[/tex] and solving for a:

[tex]a=\frac{175sin42}{sin55}[/tex] so

a = 143.0

y <= - 1/3 * x + 2; y > 2x - 3 linear inequalities

Answers

Step-by-step explanation:

Given

Inequalities are [tex]y\leq -\dfrac{1}{3}x+2[/tex] and [tex]y>2x-3[/tex]

Take the inequality as two equations to get the intersection point

[tex]y=-\dfrac{1}{3}x+2\ and\ y=2x-3[/tex]

Equate the value of y

[tex]\Rightarrow -\dfrac{1}{3}x+2=2x-3\\\Rightarrow 5=\dfrac{7x}{3}\\\\\Rightarrow x=\dfrac{15}{7}[/tex]

[tex]\therefore y=1.286[/tex]

The common region gives the required regions for inequalities.

The volume (v) of water stored in an open tank varies due to evaporation as v=x^4-50x^2+700 where v is expressed in gallons and x is number of months elapsed. If January correspond to x=0 what will the volume of water (in gallons) in the tank be in june
A.700
B.1200
C.75
D.100

Answers

Answer:

C) 75

Step-by-step explanation:

If January corresponds to x=0 then June corresponds to x=5.

Knowing this we can replace all values of x with 5.

[tex]v=x^4-50x^2+700[/tex]

[tex]v=5^4-50(5)^2+700[/tex]

[tex]v=625-1250+700[/tex]

[tex]v=75[/tex]

What is the measure of each exterior angle of a regular hexagon?

40°
45°
60°
72°

Answers

The measure of each exterior angle of a regular hexagon ( six sided regular polygon is 60°.

Option C)60° is the correct answer.

What is a polygon?

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the exterior angles of a polygon is;

E = 360° ÷ number of sides

Given the data in the question;

The polygon in question is a regular hexagonA regular hexagon has six sides, n = 6

So we substitute the value for number of sides into the expression above.

E = 360° ÷ number of sides

E = 360° ÷ 6

E = 60°

The measure of each exterior angle of a regular hexagon ( six sided regular polygon is 60°.

Option C)60° is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

#SPJ2

Answer: (C) 60°

Just took it on edge

The profit for a car company can be represented by the function P=−0.5 x² +4 x+ 12,

where P is the profit in hundred thousands of dollars and x represents the number of cars sold in thousands. What is the maximum profit the company can make?

Answers

Answer:

3x+12

Step-by-step explanation:

-0.5x*2+4x+12

Multiply 0.5x*2=x

= -x+4x+12

Add similar elements -x+4x+12

= 3x+12

Which choice is equivalent to the product below? √2 x √5 x √8

A. 16√5
B. 4√20
C. 4√5. <-- correct answer
D. 8√10

Answers

[tex]\longrightarrow{\green{ C. \:4 \sqrt{5} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] = \sqrt{2} \times \sqrt{5} \times \sqrt{8} [/tex]

[tex] = \sqrt{2 \times 5 \times 8} [/tex]

[tex] = \sqrt{2 \times 5 \times 2 \times 2 \times 2} [/tex]

[tex] = \sqrt{(2 \times 2) \times (2 \times 2) \times 5} [/tex]

[tex] = \sqrt{ {2}^{2} \times {2}^{2} \times 5} [/tex]

[tex] = \sqrt{ {2}^{2} } \times \sqrt{ {2 }^{2} } \times \sqrt{5} [/tex]

[tex] = 2 \times 2 \sqrt{5} [/tex]

[tex] = 4 \sqrt{5} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

[tex]\sf Q) \sqrt{2} \times \sqrt{5} \times \sqrt{8}[/tex]

[tex]\sf\implies \sqrt{2 \times 5 \times 8}[/tex]

[tex]\sf\implies \sqrt{2 \times 5 \times 2 \times 2 \times 2}[/tex]

[tex]\sf\implies \sqrt{(2 \times 2) \times (2 \times 2) \times 5}[/tex]

[tex]\sf\implies \sqrt{ {2}^{2} \times {2}^{2} \times 5}[/tex]

[tex]\sf\implies \sqrt{ {2}^{2} } \times \sqrt{ {2 }^{2} } \times \sqrt{5}[/tex]

[tex]\sf\implies 2 \times 2 \sqrt{5}[/tex]

[tex]\sf\implies 4 \sqrt{5}[/tex]

In parallelogram QRST if m∡TQR=50∘ find m∡STQ.

Answers

The STQ is obtuse i think that’s it?

Select the elements in H.
Let H = {cube numbers}

A-8
B-49
C-3
D-125
E-1
F-100
G-25
H-12

Answers

Answer:

H={8,125,1}

Step by step explanation:

8 is the cube of 2125 is the cube of 51 is the cube of 1

Find the different between compound interest payable anually and half anually for a amount Rs14000 at the rate of 12•\•per annum for 2 yrs.​

Answers

Answer:

$113.08

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

14,000(1.12)^2 =  17,561.60

14,000 ( 1 + 0.12/2)^(2x2) = 17674.68

Difference :  17674.68 -   17,561.60 = $113.08

how long is each side of a square with a perimeter of 12.32 centimeters

Answers

Step-by-step explanation:

Let each side of square be x

So, x+x+x+x = 12.32

4x = 12.32

x = 12.32/4

x = 3.02 cm

Answer 2 questions about equations A and B.

A. 5x−2+x=x-4
B. 5x+x=x−4


1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Add/subtract a quantity to/from only one side

(Choice B)
B
Add/subtract the same quantity to/from both sides

(Choice C)
C
Rewrite one side (or both) using the distributive property

(Choice D)
D
Rewrite one side (or both) by combining like terms
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Yes

(Choice B)
B
No

Answers

Step-by-step explanation:

Given that,

Two equations,

A. 5x−2+x=x-4

B. 5x+x=x−4

1.

The RHS of both the equations is same. To make them equal we need to remove the difference.

If we add 2 to the left side of equation A, then we get equation B.

The correct option is (A) i.e. Add/subtract a quantity to/from only one side.

2.

As the equations are not same, they will have different solutions. The answer choice is (b) "No".

Hey There Answer  Add/subtract a quantity to/from only one side

And No

Step-by-step explanation:

Identify the coefficient(s) of the variable in the expression below.
25 - 6z

A
z

B
1

C
6

D
25 and 6

Answers

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

Identify the coefficient(s) of the variable in the expression below.

25 - 6z

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}[/tex]

Explanation:

Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Solve for x. (have to add extra letters so the question works)
PLEASE ADD STEPS AND EXPLAIN IT IN ANY WAY POSSIBLE SO I CAN LEARN

Answers

Answer:

x=11°

Step-by-step explanation:

-Sum of angles of a triangle should alway be 180 degrees

35+110+2+3x=180

-Add all known values

147+3x=180

-Subtract 147 from both sides

3x=33

-Isolate x by divind both sides by 3

x=11°

AT&T has a family plan of four lines for $125 and additional lines are $15 each per month. If Jason wants to spend at most $200 per month on cell phone expenses, how many additional lines can he afford? Which inequality represent the given situation. please help for my final​

Answers

Given:

Cost of four lines = $125

Cost of each additional line = $15

Jason wants to spend at most $200 per month on cell phone expenses.

To find:

The inequality for the given situation.

Solution:

Let [tex]x[/tex] be the number of additional line.

Cost of one additional line = $15

Cost of [tex]x[/tex] additional line = [tex]\$15x[/tex]

Total cost = Fixed cost + Addition cost

                = [tex]125+15x[/tex]

It is given that Jason wants to spend at most $200 per month on cell phone expenses. It means the total cost must be less than or equal to 200.

[tex]125+15x\leq 200[/tex]

Therefore, the correct option is C.

Find the mode of the data.
Weight (in ounces) of puppies in litter:
17, 15, 19, 18, 17, 16, 22
Mode: [?] oz
Enter

Answers

Mode=17

Step-by-step explanation:

Mode is to find the number which reoccurs/keeps on appearing.

Hope this helps u

Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0.

Answers

Answer:

a= 16

b= 2

Step-by-step explanation:

edge 2021

Answer:

a=16 and b=2

Step-by-step explanation:

next one is B.

13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.

That is ,

    [tex]m_1 \times m_ 2 = - 1[/tex]       [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]

   [tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]

Find the equation the line perpendicular to the given line :

[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]

[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]

A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40

Answers

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

lines a and b are parallel m<2 = ?°​

Answers

Answer:

50 degrees

Step-by-step explanation:

50 degrees because angle 2 is its vertical angle

Triangle AEB is similar to triangle CBD by ​

Answers

Answer:

SAS

Step-by-step explanation:

x^{2} -(3+\sqrt{3} )x +\sqrt{3} -2=0

Answers

Answer:

[tex]{ \tt{ {x}^{2} -( 3 + \sqrt{3} ) x + \sqrt{3} - 2 = 0}} \\ \\ x = 4.8 \: \: and \: \: - 0.05[/tex]

(6x+15)°
63° triangle

Answers

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

6x - 5y= 70
7x + 2y=66

I need a answer in words step by step please help!!

Answers

(10,-2) or x=10 , y=-2

Answer:

x = 10

y = -2

Step-by-step explanation:

Elimination method:

6x -  5y = 70 -----------------(I)

7x + 2y = 66 -----------------(II)

Multiply equation (I) by 2 and equation (II) by 5 and add. So, y will be eliminated and you can now find the value of x

(I)*2           12x - 10y  = 140

(II)*5          35x + 10y = 330     {Now add}

                 47x           = 470

                              x = 470/47

x = 10

Plugin x = 10 in equation (II)

7*10 + 2y = 66

70 + 2y = 66

Subtract 70 from both sides

2y = 66 - 70

2y = -4

Divide both sides by 2

y = -4/2

y = - 2

Find the area of this triangle.
17 cm
10 cm
8 cm
21 cm
A = [ ? ] cm2

Answers

Answer:

84 cm^2

Step-by-step explanation:

8 * 21/2=84

Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC

Answers

Answer:

The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.

Step-by-step explanation:

Sample answer from plato

what do i put for y and x , need help asap!!!

Answers

Pick a point on the line and then what ever number is directly across from that point put in the y section. Whatever is directly under or over that point put it in the x
For ex- y = -1 and x = -3

Simplify Negative two and one-third minus negative ten and one-sixth

Answers

Answer:

7 5/6

Step-by-step explanation:

-2 1/3 - (-10 1/6)

-7/3 + 61/6 (subtract neg = add positive)

-14/6 + 61/6 = 47/6 = 7 5/6

Answer:

[tex]-2\frac{1}{3} - (-10\frac{1}{6} )[/tex]

Minus minus is plus so:

[tex]-2\frac{1}{3} + 10\frac{1}{6} [/tex]

Make improper:

[tex]-\frac{7}{3} + \frac{61}{6} [/tex]

Common denominator:

[tex]-\frac{14}{6} + \frac{61}{6} [/tex]

Equals=

[tex]\frac{47}{6} [/tex]

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(5a + 2)(a + 4) =(Answer should be a polynomial in standard form. THIS IS PART TWO TO MY OTHER QUESTION. PLEASE HELPPPPP!!! One day, a caf sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes together.Which equation could be used to find the number of lattes, x, sold at caf Which number line represents the solution set for the inequality 3(8 4x) < 6(x 5)?A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right. There are four white socks and six black socks in a drawer what is the probability of selecting a white sock not replacing it and then selecting another white sock What is the area is square feet? Kaluzniak Corporation leased equipment to Moeller, Inc. on January 1, 2020. The lease agreement called for annual rental payments of $1,137 at the beginning of each year of the 3-year lease. The equipment has an economic useful life of 7 years, a fair value of $7,000, a book value of $5,000, and Kaluzniak expects a residual value of $4,500 at the end of the lease term. Kaluzniak set the lease payments with the intent of earning a 6% return, though Moeller is unaware of the rate implicit in the lease and has an incremental borrowing rate of 8%. There is no bargain purchase option, ownership of the lease does not transfer at the end of the lease term, and the asset is not of a specialized nature.Required:a. Explain (and show calculations) how Kaluzniak arrived at the amound of the rental payments used in the lease agreement.b. Prepare the entries for Kaluzniak for 2017.c. How would Kaluzniak's accounting in part (a) change if it incurred legal fees of $700 to execute the lease documents and $500 in advertising expenses for the year in connection with the lease? using the digits 0-9 at most one time each fill in the boxes so that the fraction equals the decimal Given D: Annual use of a particular item, in number of items per year Q: Number of items ordered in one purchase order, in units SS: Safety stock, in units L: Lead time, in fraction of a year I: Current inventory on hand, units Reorder point can be expressed as ______ (x below denotes the multiplication sign). The set of individuals or object with common characteristics selected for a research study is called abstract. What is the slope that passes through the points (-9.-8) (-15,-16) Hi if you have a 65% grade can a 80% bring it up to a C 70% two birds / the tree / nest which / There are / is on / near the/ ( rewrite the sentence ).. please tell me the answer.. Consider an atom that has an electron in an excited state. The electron falls to a lower energy level. What effect does that have on the electron?A.The electron releases energy in the form of light.B.The electron absorbs energy in the form of light.C.The electron retains its energy without any change.D.The electron transfers its energy to other electrons. pls help me solve pls show how you got the answer 42, 43, 44, 44, 49, 40, 39What is the mean? When an Accounts Payable department improves their information system resulting in faster payments to vendors, without the Accounts Receivable Department doing the same, leading to a cash flow crunch, what can we say happened in decision-theoretic terms A car is travelling at 60m/s. and brakes to a speed of 14m/s, in 2.7 seconds. What is the deceleration? Why would there be a difference between percentages with the Empirical Rule and the actual percentages? What are the Primary Colours?