Determine the point of intersection of the lines x + y = 4 and 2x + 3y = 12

Answers

Answer 1

Answer:

(2,2)

Step-by-step explanation:

x=4-y

2 ( 4 - y )+ 3y= 12

2y = 12 -8

y= 2

substitute y in first eq. :

x=4 - 2

x= 2


Related Questions

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048 meter) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!!!!!!

Answers

Answer:

3200 meters

Step-by-step explanation:

because it is

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

The number of laps around the track to run for 3.1 miles is 12.5.

What is unit conversion?

Conversion of units is the conversion of one unit to another unit by the process of multiplication or division.

We have,

The track length = 400 meters

One lap = 400 meters.

We have,

3.1 miles

1 foot = 0.3048 meter ____ (1)

We know that,

[ 1 mile = 5280 foot ]

So,

3.1 miles = 3.1 x 5280 foot

3.1 miles = 16368 foot

From (1),

3.1 miles = 16368 x 0.3048 meter = 4988.9664 meters

Now,

Since 400 meters is one slap.

The number of laps in 4988.9664:

Divide 4988.9664 by 400

= 4988.9664 / 400

= 12.47

Rounding to the nearest tenth.

= 12.5

Thus the number of laps around the track to run for 3.1 miles is 12.5.

Learn more about unit conversion here:

https://brainly.com/question/11543684

#SPJ5

PLZ HELP, I need it done in like 20 mins. PLZZZ

Answers

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

Which of the following numbers are whole numbers
A-0.6122
B-2469
C- 759084.2
D-435.752
E-6564.27
F-183

Answers

Answer:

B - 2469 and F - 183

Step-by-step explanation:

B and F are whole numbers because they don't have any decimal places.

Answer:

b

Step-by-step explanation:

because it's a b so you would automatically wanna put down B because It's a B

What is the greatest common factor for 36 and 60

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

k12 test

A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Thank you for whoever solves this, I will make sure to add brainliest if possible

Answers

Answer:

  66,000 kg·km/hr

Step-by-step explanation:

  p = mass × velocity

  p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr

_____

Additional comment

Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.

Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?

A.
$30
B.
$45
C.
$60
D.
$80

Answers

Answer:

Ti's C, $60

Step-by-step explanation:

30 = 50% ---> b/c 100% - 50% = 50%, and 30 is sum

So mutiply by 2, to get 100%

60 = 100%

60 is the price of the bag


What is mL BCD ?









THANK U <3

Answers

m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°

Ok done. Thank to me :>

Help help help math math

Answers

Answer:

   

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]

Ryan has a collection of 1,200 pennies.

25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?

Answers

Answer:

480 Pennies.

Step-by-step explanation:

25% (1980) + 35% (1980-2000) = 60%

40% (2000+) Percent of 1200 is 480 Pennies.

if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank

Answers

The weekdays
Because there are 5 week days so most likely they will meet up on those days

PLEASE HELP!!! I’ll mark as brainiest!

Answers

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

Enter your answer in the box.
What is the value of x?

Answers

Based on the shape and the angles already given in the diagram, the value of x must be 80°

The interior angles of a triangle must always add up to 180°

This means that the value of x is:

180 = 70 + 30 + x

180 = 100 + x

x = 180 - 100

x = 80°

In conclusion, x is 80°.

Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.

If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

Rewrite [Exponential Distributive Property]:                                                  [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents:                                                   [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply:                                                                        [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify:                                                                                                            [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide:                                                                          [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

Take x^2 common and cancel.

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Ed and Sally are taking a tour of Paris. There are 333 different types of tours (walking tour, bike tour, and trolley tour) and 222 different times each tour is offered (morning and evening). They each created a display to represent the sample space of randomly picking a type of tour and a time.
Whose display correctly represents the sample space?

Answers

Answer: the answer is sally only

Solve.

x2=−0.73

What is the solution to the equation?

Enter your answer as a decimal in the box.

x =

Answers

x = -0.365 (If its x(2)=-0.73)

How I solved it:

x^2=-0.73

-0.73÷2=-0.365

//

-0.365×2=-0.73

Therefore, the answer is -0.365.

Answer:

x = -1.46 (if its x/2=-0.73)

x/2=-0.73

-0.73x2=-1.46

therefore,

-1.46/2=-0.73

///

making the answer

-1.46

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

I need help with something in school.

Answers

Answer:

what do you need help with

Step-by-step explanation:

:)

Answer:

ask......

Step-by-step explanation:

What is the correlation coefficient of y=2.6x+43.1?

Answers

Answer:

\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)

Step-by-step explanation:

solve for X
explain steps too pls

Answers

Answer:

Value of [tex]x=30[/tex]

Step-by-step explanation:

When the two lines being crossed are Parallel Lines the Corresponding Angles are equal.

Hence

[tex]x+25=55\\\\x=30[/tex]

Trevor earns $7.80 an hour take home pay and works 20 hours each week. Trevor wants to buy a new laptop computer to take to college that costs $780. How many weeks will it take for Trevor to achieve his goal? a. 4 weeks b. 5 weeks c. 6 weeks d. 7 weeks

Answers

Answer:

5 weeks

Step by step

7.80 x 20 = 156

156 x 5 = 780

Answer: B) 5 weeks

Step-by-step explanation: I know your struggling and that's why you need this answer. your welcome cutie.

Please helppp asappppp

Answers

Answer:x=10

Step-by-step explanation:

First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10

What are the amounts of interest and maturity value of a loan for ₱180,000 at 5 % *
1 point
A. Is = ₱18,000 ; F= ₱198,000
B. Is = ₱27,000 ; F= ₱207,000
C. Is = ₱36,000 ; F= ₱216,000
D. Is = ₱45,000 ; F= ₱227,000

Answers

Answer:

C

HOPE IT HELPS YOU BRAINLIEST

pls help i will give brainliest!!!!! :)

Answers

Answer: c.50 is the answer

Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.

Answers

Answer:

  3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.

Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
3
x

x
2
+
6

3
a

2

4

1
b
0
6
1
8
2
c
3
d

Answers

Answer:

Here is your answer

Step-by-step explanation:

50

A boy stands 12 metres from the foot of the building and observes the angle of elevation of the top of the building. The height is of the building is approximately

Answers

Answer:

10.07 meters

Step-by-step explanation:

We are given that the angle of elevation is 40° and the boy is 12 meters from the building.

This means that in order to figure out the height of the building, we must use the tangent function which states that [tex]tan(\theta)=\frac{opposite}{adjacent}[/tex].

The opposite side in this case is the height of the building in relation to the angle and the adjacent side is the distance the boy is away from the building.

Therefore, we can find the height of the building by plugging in our known information and solving for the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(40^\circ)=\frac{x}{12}[/tex]

[tex]12tan(40^\circ)=x[/tex]

[tex]x=12tan(40^\circ)[/tex]

[tex]x\approx10.07[/tex]

Therefore, the height of the building is approximately 10.07 meters.

7. The graph of a linear function is shown on the coordinate grid.
(6, 1)
(-6,-5)
What is the slope of the graph of this function in DECIMAL FORM.

Answers

If those points are points on the graph, we can use the slope formula: m = (y2 - y1)/(x2 - x1).

m = (-5 - 1)/(-6 - 6)
m = -6/-12
m = 1/2
decimal form: m = 0.5

Please help me with this problem TwT. Triangles.

Answers

Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

Given 7x + 2 > 58, which number is not in the solution set?
1) 6
2) 8
3) 10
4) 12

Answers

Answer:

option 1

Step-by-step explanation:

7x + 2 > 58 ( subtract 2 from both sides )

7x > 56 ( divide both sides by 7 )

x > 8

So only values greater than 8 are in the solution set

6 is not greater than 8, then is not in the solution set

A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)

Answers

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

Initial population = 150 birds

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Learn more on function here: https://brainly.com/question/10439235

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