how do you solve this problem ? 4(-3x+1)-3x=71

Answers

Answer 1

Answer:

x = -67/15 = -4-46667

Step-by-step explanation:

4(-3x+1) - 3x = 71

4*-3x + 4*1 - 3x = 71

-12x + 4 - 3x = 71

-15x = 71-4

-15x = 67

x = 67/-15

x = -4.46667

check:

4(-3*-4.46667 + 1) - 3*-4.4666= 71

4(13.4+1) + 13.4 = 71

4*14.4 + 13.4 = 71

57.6 + 13.4 = 71


Related Questions

Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p, if x=-4 and y=-6

Answers

Answer:

When x = -4 and y = -6, p = 37.75

Step-by-step explanation:

Given that p = x² - y²/x² + x·y, we have;

p = (x² × x² -y² + x·y×x²)/x²

p = (x²⁺² - y² + x¹⁺² × y)/x²

p = (x⁴ - y² + x³·y)/x²

Therefore, p in the simplest form is given as follows;

[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]

To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;

[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]

Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.

the cube root of 2 to the seventh power

Answers

Answer:

4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

Step-by-step explanation:

Simplify the following:

(2^(1/3))^7

Hint: | For all a>=0, (a^(1/3))^m = a^(m/3). Apply this to (2^(1/3))^7.

Multiply exponents. (2^(1/3))^7 = 2^(7/3):

2^(7/3)

Hint: | Separate the exponent of 2^(7/3) into integer and fractional parts.

2^(7/3) = 2^(6/3 + 1/3) = 2^(6/3)×2^(1/3):

2^(6/3) 2^(1/3)

Hint: | Divide 6 by 3.

6/3 = (3×2)/3 = 2:

2^2 2^(1/3)

Hint: | Evaluate 2^2.

2^2 = 4:

Answer:  4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal

solving polynomial(2x+8)(-3y-8)​

Answers

Answer:

-6xy - 16x -24y -64

Step-by-step explanation:

(2x+8)(-3y-8) =

To find the answer,

First multiply, the first number on both sides,

2x * -3y = -6xy

Then the first number on the left side and the second number on the right side,

2x * -8 = -16x

Then the second number on the left side and the first number on the right side,

8 * -3y = -24y

Then the second number on the left side and the second number on the right side,

8 * -8 = -64

Now add all the answers,

-6xy -16x -24y -64

Answer:

-6xy-16x-24y-64

Step-by-step explanation:

(2x+8)(-3y-8)​

Foil

First 2x*-3y = -6xy

outer -8*2x = -16x

inner -3y *8 = -24y

last -8*8 = -64

Add them together

-6xy-16x-24y-64

I'm doing a task which involves magic v's, a maths pattern which has the rule of having the same total on each side. For e.g.
6 5
3 4
2
Is a magic v because each side adds up to 11. I need to make magic V's with the number 2-6 and 3-7. There are 24 possibilities for each number set.

Answers

Answer:

--1-- (of set 23456)

2   4

5 3

 6

--2-- (of set 23456)

2   3

5 4

 6

--3-- (of set 23456)

2   5

6 3

 4

--4-- (of set 23456)

2   3

6 5

 4

--5-- (of set 23456)

3   5

4 2

 6

--6-- (of set 23456)

3   2

4 5

 6

--7-- (of set 23456)

3   6

5 2

 4

--8-- (of set 23456)

3   2

5 6

 4

--9-- (of set 23456)

3   5

6 4

 2

--10-- (of set 23456)

3   4

6 5

 2

--11-- (of set 23456)

4   5

3 2

 6

--12-- (of set 23456)

4   2

3 5

 6

--13-- (of set 23456)

4   6

5 3

 2

--14-- (of set 23456)

4   3

5 6

 2

--15-- (of set 23456)

5   4

2 3

 6

--16-- (of set 23456)

5   3

2 4

 6

--17-- (of set 23456)

5   6

3 2

 4

--18-- (of set 23456)

5   2

3 6

 4

--19-- (of set 23456)

5   6

4 3

 2

--20-- (of set 23456)

5   3

4 6

 2

--21-- (of set 23456)

6   5

2 3

 4

--22-- (of set 23456)

6   3

2 5

 4

--23-- (of set 23456)

6   5

3 4

 2

--24-- (of set 23456)

6   4

3 5

 2

--1-- (of set 34567)

3   5

6 4

 7

--2-- (of set 34567)

3   4

6 5

 7

--3-- (of set 34567)

3   6

7 4

 5

--4-- (of set 34567)

3   4

7 6

 5

--5-- (of set 34567)

4   6

5 3

 7

--6-- (of set 34567)

4   3

5 6

 7

--7-- (of set 34567)

4   7

6 3

 5

--8-- (of set 34567)

4   3

6 7

 5

--9-- (of set 34567)

4   6

7 5

 3

--10-- (of set 34567)

4   5

7 6

 3

--11-- (of set 34567)

5   6

4 3

 7

--12-- (of set 34567)

5   3

4 6

 7

--13-- (of set 34567)

5   7

6 4

 3

--14-- (of set 34567)

5   4

6 7

 3

--15-- (of set 34567)

6   5

3 4

 7

--16-- (of set 34567)

6   4

3 5

 7

--17-- (of set 34567)

6   7

4 3

 5

--18-- (of set 34567)

6   3

4 7

 5

--19-- (of set 34567)

6   7

5 4

 3

--20-- (of set 34567)

6   4

5 7

 3

--21-- (of set 34567)

7   6

3 4

 5

--22-- (of set 34567)

7   4

3 6

 5

--23-- (of set 34567)

7   6

4 5

 3

--24-- (of set 34567)

7   5

4 6

 3

Step-by-step explanation:

This javascript code is extremely brute-force, but it does the job:

function checkIfInSet(i, set) {

   return i.toString().split('').sort().join('') === set;

}

function checkIfMagic(s) {

   return (parseInt(s[0]) + parseInt(s[1]) == parseInt(s[3]) + parseInt(s[4]))

}

function printMagic(s) {

   console.log(`${s[0]}   ${s[4]}`);

   console.log(` ${s[1]} ${s[3]}`);

   console.log(`  ${s[2]}\n`);

}

function checkSet(set) {

   let counter = 1;

   for(let i=1; i<99999; i++) {

       if (checkIfInSet(i, set) && checkIfMagic(i.toString())) {

           console.log(`--${counter++}-- (of set ${set})`);

           printMagic(i.toString());

       }

   }

}

checkSet('23456');

checkSet('34567');

Need help please! Oh and the options are
A. 2/3
B. 1/5
C. 4/15
D. 2/7

Answers

Answer:

C. 4/15There are 15 spaces in total with 4 shaded columns

Step-by-step explanation:

Answer:

Hey there!

The answer would be C. 4/15.

4/5(1/3)=4/15

Let me know if this helps :)

type in symbols to make 3,7,12,2 equal 45

Answers

Answer:

The answer is (3×7) + (12×2) .

[tex](3 \times 7) + (12 \times 2)[/tex]

[tex] = 21 + 24[/tex]

[tex] = 45[/tex]

Em um posto de combustível, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, após esees aumentos

Answers

Answer:

english i think u need hekp

Please help me with this

Answers

verifying, by putting [tex] \theta=60^{\circ}[/tex]

LHS≠RHS

hence the question is FALSE

A certain forest covers an area of 2600 km^2. Suppose that each year this area decreases by 4.75%. What will the area be after 11 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1522km^2

Step-by-step explanation:

To solve this, first convert the percentage to a decimal. That would be .0475.

Now subtract that from 1.0 to get the factor it decreases by. This would be 1-.0475 = .9525

Multiply 2600 x (.9525)^11 = 1522.258 which rounds to 1522 km^2

Answer:

The area will be 1292.98 km² after 11 years.

Step-by-step explanation:

To find what decreases by 4.57% each year in kilometers:

2600 × 4.57/100 = 26 × 4.57

= 118.82 km²

To find the area after 11 years:

118.82 × 11 = 1307.02

2600 - 1307.02 = 1292.98 km²

1292.98 km² is the answer.

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?

Answers

Answer:

10800

Step-by-step explanation:

1 trimesters cost = 1450 + 350  $

2 year -> 6 trimester

1800$ x 6 = 10800 $

The diagram shows 2 straight line , PQ and QR

Find the equation of QR

Help me to explain :) ​

Answers

Answer:

Step-by-step explanation:

We first need to find h. Since h is the x coordinate of Q, and Q is on the line 3x + 4y = 6, we will plug in the x value of h and the y value of 3 and solve for h:

3h + 4(3) = 6 and

3h + 12 = 6 and

3h = -6 so

h = -2

The coordinates for Q are (-2, 3). Now we can use that to find the slope of the line QR:

[tex]m=\frac{8-3}{3-(-2)}=\frac{5}{5}=1[/tex]

So the slope of QR is 1. Now we will choose one of the coordinates on line QR as our x and y coordinates to write the equation for the line in point slope form then in standard form:

y - 8 = 1(x - 3) and

y - 8 = x - 3 and

y - x = 5 or

-x + y = 5. If your teacher does not want you to lead with a negative:

x - y = -5 would be your equation in standard form.

△ABCis reflected to form​​ ​△A′B′C′​. The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). Which reflection results in the transformation of ​△ABC​​ to ​△A′B′C′​​? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x

Answers

Answer:

reflection across y = x

Step-by-step explanation:

Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.

If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)

If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)

If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)

If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)

The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form​​ ​△A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged

Answer:

reflection across y = x

Step-by-step explanation:

Find the distance between the two points (-4,4) and (1,0)

Answers

Answer:

The answer is

[tex] \sqrt{41} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by

[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

[tex] \sqrt{( { - 4 - 1})^{2} + ( {4 - 0})^{2} } [/tex][tex] = \sqrt{ ({ - 5})^{2} + {4}^{2} } [/tex][tex] = \sqrt{25 + 16} [/tex]

We have the final answer as

[tex] \sqrt{41} \: \: \: units[/tex]

Hope this helps you

order of operation
3⋅6−2+2​

Answers

Answer:

18

Step-by-step explanation:

3⋅6−2+2​

Use PEMDAS = Parentheses, Exponent, Multiplication, Division, Addition, Subtraction

First we multiply, then add or subtract so,

18 - 2 + 2

Now we subtract,

16 + 2

Now we add,

18

Find the area of the following rectilinear figure.

Answers

Answer:

Area : 14+10+40=64 square unit

Step-by-step explanation:

the area of the top rectangle with sides  2 and 7

A=2*7=14 square unit

the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5

Area=5*2=10 square unit

the bottom rectangle : sides 10 and 4

Area=10*4=40

add the areas : 14+10+40=64 square unit

Represents the solution to the inequality -9=2/3x-7<5

Answers

Answer:

-3=x <13

Step-by-step explanation:

[tex] - 9 = \frac{2x}{3} - 7 < 5[/tex]

Multiply through by 3

[tex] - 27 = 2x - 21 < 15[/tex]

Add 21 to all sides

[tex] - 6 = 2x < 36[/tex]

Divide through by 2

[tex] - 3 = x < 18[/tex]

The solutin set is

[tex]{- 3 = x < 18}[/tex]

Identify the relation that is not a function. weight of an apple to the apple's cost time of day to the temperature at that time weight of a person to a person's height phone number to a person's name

Answers

Answer: Weight of a person to a person's height

Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.

The generic version was basedOn the brand name and was 2/3 the size of the brand name. If the generic television set is 12 inches by 24 inches what are the dimensions of the brand name television

Answers

Answer:

18 inches by 36 inches.

Step-by-step explanation:

Since we have given that

The generic version was basedOn the brand name and was 2/3

And given Dimensions of generic version is given by 12inches ×24inches

If we use the first dimensions of 12inches we have

12=2/3 × brand

12×3/2 = brand

=18inches= brand

we use the first dimensions of 24 inches we have

24=2/3 × brand

24×3/2 = brand

=36 inches= brand

brand= 36 inches

Therefore,the dimensions of brand name will be 18 inches by 36 inches.

HELP ME PLZZzzzzzzzz​

Answers

Answer:

5 cm

Step-by-step explanation:

The volume (V) of milk in the container is calculated as

V = 8 × 15 × 12 = 480 cm³

After change of position with depth d then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Find the value of x. Your answer must be exact.
X
12.
600
X=

Answers

Answer:

x = 6√3

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 12

The opposite is x

Substitute the values into the above formula and solve for x

That's

[tex] \sin(60) = \frac{x}{12} [/tex]

[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]

[tex]x = \frac{ \sqrt{3} }{2} \times 12[/tex]

We have the final answer as

x = 6√3

Hope this helps you

I need help asap!!!​

Answers

There are 360° total in a circle, so AB is half of the circle so it’s 180°. CBA is 180° also. 180°+55°=235°, 360-235= 125° which is AC

A blue print for a house has a scale of 1:10. A wall in the blueprint is 8in. What is the length of the actual wall?

6.67. inches
80 feet
969 feet
6.67 feet

Answers

Answer:

80 feet

Step-by-step explanation:

1 inch represents 10 feet

Then 8 inches represent = 8 × 10

= 80 feet

write 1,245 in word form

Answers

Answer:

One thousand two hundred and forty five.

Hope this helps! (づ ̄3 ̄)づ╭❤~

Step-by-step explanation:

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

last option

Step-by-step explanation:

Let's call the original angle x° and the radius of the circle y. The area of the original sector would be x / 360 * πy². The new angle, which is a 40% increase from x, can be represented as 1.4x so the area of the new sector is 1.4x / 360 * πy². Now, to find the corresponding change, we can calculate 1.4x / 360 * πy² ÷  x / 360 * πy² = (1.4x / 360 * πy²) * (360 * πy² / x). 360 * πy² cancels out so we're left with 1.4x / x which becomes 1.4, signifying that the area of the sector increases by 40%.

how do you solve 2m-10=44+8m

Answers

Answer:

m = -9

Step-by-step explanation:

2m-10=44+8m

Subtract 2m from each side

2m-2m-10=44+8m-2m

-10 = 44+6m

Subtract 44 from each side

-10-44 = 44-44+6m

-54 = 6m

Divide by 6

-54/6 = 6m/6

-9 = m

Answer:

solve by solving the salvation for equation don't be a slave get educated from what's gave

AB =
Round your answer to the nearest hundredth.
B
?
2
25°
С
A

Answers

Answer:

? = 4.73

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 25 = 2 / ?

? sin 25 = 2

? = 2 / sin 25

? =4.732403166

To the nearest hundredth

? = 4.73

I need hellp please its my last chance to become a senior please someone

Answers

Answer:

d= 6

r= 6/2

r=3

V= π. r². h

V= π . 3². 14

V= π. 9 . 14

V= π 126 cm³

V= 126 π cm³ (π not in number)

hope it helps^°^

Answer:if you use the formula it is 126 pi cm cubed

The answer is c

Step-by-step explanation:

6 to the third power divided by 4+2 x 9(32x8-17x4)

Answers

Answer:

3438.

Step-by-step explanation:

6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)

= 6³ ÷ 4 + 2 × 9 (256 - 68)

= 6³ ÷ 4 + 2 × 9 × 188

= 216 ÷ 4 + 2 × 9 × 188

= 54 + 2 × 9 × 188

= 54 + 3384

= 3438

3438 is the answer.

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)

Answers

Answer:

. an=4(2n−1)

Step-by-step explanation:

Calculate the volume and surface area of a cone with the base of 20cm, the vertical hieght of 34cm and 35.6cm leaning height. ​

Answers

Answer:

Step-by-step explanation:

Volume = 1/3πr²h

Surface Area = πr(r+√(h²+r²))

V = 1/3π(10)²(34) = 3560 .5 cm³

SA = π(10)(10 + √(34²+10²)) = 1427.5 cm²

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If a Chinese asks you ? What do you say? (This was given by my mandarin teacher, once it was given the Asian kid started laughing what do I do?!) Each leg of a 45-45-90 triangle measures 12 cm.What is the length of the hypotenuse?Z4545O 6 cm12 cm12 cmO 672 cmO 12 cmO 122 cm How does the spontaneity of the process below depend on temperature? PCl5(g)+H2O(g)POCl3(g)+2HCl(g) H=126 kJ mol1, S=146 J K1mol What makes up the backbone of a DNA molecule? nucleic acids RNA molecules sugars and phosphates ribose and deoxyribose Change the following negative statements into growth mindset statements: "I can't concentrateit's really hard to focus onschool work!" "I am too disorganized and I never have enough time." "Some subjects are really hard for me to learn." "I getdiscouraged and stressed out." "I'm bad at taking tests." please help me as soon as you can please (-2 + 1) + 5(12 : 3) - 9. Jaclyn is one-fourth of a foot taller than John. John is 31/6 feet tall. How many feet tall is Jaclyn tan inverse 1/4 +tan inverse 2/7 = 1/2 cos inverse 3/5 What percentage of the nations demand for electricity could be produced in the future by wind energy? On January 1, the listed spot and futures prices of a Treasury bond were 95.4 and 95.6. You sold $100,000 par value Treasury bonds and purchased one Treasury bond futures contract. One month later, the listed spot price and futures prices were 95 and 94.4, respectively. If you were to liquidate your position, your profits would be a Group of answer choices $125 profit. $1,060.50 loss. None of the options are correct. $125 loss. $1,062.50 profit. Suppose the country of Stan has fixed its exchange rate to the dollar. The official exchange rate is 0.50 U.S. dollars per rupee. Suppose market conditions are such that the actual equilibrium exchange rate is 0.25 U.S dollars per rupee.1. You are a tourist in Stan. Something you wish to buy costs 100 rupees. What is the price at official exchange rates? ___________ Are products bought from Stan a good deal?2. You are a tourist in Stan. Something you wish to buy costs 100 rupees. What is the price if you could buy at the equilibrium exchange rate? 3. Will foreigners want to demand Stans rupees to buy goods at the official rate? Explain. 4. Will people in Stan want to buy U.S. goods at the official exchange rates? Will they being supplying or demanding their rupees?5. Will the monetary authorities in Stan have to buy up a surplus of their currency or sell their currency to meet a shortage of their currency to keep the exchange rate at 0.50 dollars per rupee? Which of the following group behaviors is primarily offensive, rather than defensive? are mountains physical or chemical propertyIs water a physical or chemical propertyis a box a physical or chemical propertyis a lion a physical or chemical property I need 51-55 Thanks You :D no Tim owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.He sells the shorts for $12 and the T-shirts for $8 each. Tim can work 18hours a day, at most. It takes him 30 minutes to design a T-shirt and 45minutes to design a pair of shorts. He must design at least 12 items eachday, but he cannot design more than 30 items in one day. Which set ofinequalities below represents this scenario?A. s 2 12 + $ ss 30 + tiss 24-0.66t, s2; 0; t2 0B. s> 12-tss 30 - t Ss 24 -0.66t, s 2 0; t> 0O c. s? 12-ts? 30-tss 24 -0.66t, s 2 0;t20D. S 2 12-tss 30-ts 24 -0.66t, s 20; t 0 Examine the painting Self-Portrait with Monkey and Parrot. What do the animals and the background suggest about the artist? her interest in nature her appreciation for beauty her interest in pleasing others her feelings about her condition Ashley bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges what kind of line is used to indicate the supporting beam Evaluate Haymitch as a coach and mentor. Does he make you feel optimistic orpessimistic about Katniss and Peeta's chances of survival? Why?