3-2(x-1)=2+4x
How do you solve

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

Answer:

(-8,2)

Step-by-step explanation:

This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.

(x,y) --> (x,-y)

(-8,-2) --> (-8,2)

Answer:

  PQRS is a parallelogram with right-angle corners

Step-by-step explanation:

We know that the midsegment of a triangle is parallel to the base.

  QR is the midsegment of triangle BCD, so is parallel to BD.

  SP is the midsegment of triangle DAB, so is parallel to BD.

QR and SP are both parallel to BD, so are parallel to each other.

  RS is the midsegment of triangle CAD, so is parallel to AC.

  PQ is the midsegment of triangle ABC, so is parallel to AC.

RS and PQ are both parallel to AC, so are parallel to each other.

__

We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.

__

By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.

_____

* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

[tex]((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4[/tex]

Step 2: Use BPEMDAS to evaluate

[tex](-1.24573)^{4(3^{\frac{1}{5} })^4[/tex]

[tex](-1.24573)^{4(1.24573)^4[/tex]

[tex](-1.24573)^{4(2.40822)[/tex]

[tex](-1.24573)^{9.6329}[/tex]

= 8.30256

And we have our answer!

Answer:

Step-by-step explanation:

y = -2/3x + 4

y = 2/3x

2/3x = -2/3x + 4

4/3x = 4

4x = 12

x = 3

y = 2/3(3)

y = 2

(3,2) one solution

option 3

In the future, you should post all possible answer choices to have a complete post. However, there's enough information to get the answer.

The original set has points in the form (x,y)

The first point is (x,y) = (-49,7) making x = -49 and y = 7. When we find the inverse, we simply swap the x and y values. The inverse undoes the original function and vice versa. So if (-49, 7) is in the original function, then (7, -49) is in the inverse. The rest of the points follow the same pattern.

We end up with this answer

{ (7, -49), (8, -56), (9, -63), (10, -70) }

Answer:

See Explanation Section

Step-by-step explanation:

Given

A base 5 numbering system: Envision

Some of the rules are as follows:

3 digit examples

1

Base 5: 100

Base 10: 25 (See calculation below)

[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]

Base 2: 11001 (See calculation below)

[tex]25 / 2 = 12\ R\ 1[/tex]

[tex]12 / 2 = 6\ R\ 0[/tex]

[tex]6 / 2 = 3\ R\ 0[/tex]

[tex]3 / 2 = 1\ R\ 1[/tex]

[tex]1 / 2 = 0\ R\ 1[/tex]

Writing the remainder from bottom: 11001

Using the same steps as used in (1) above

2.

Base 5: 211

Base 10: 56

Base 2: 111000

3.

Base 5: 441

Base 10: 121

Base 2: 1111001

4.

Base 5: 230

Base 10: 65

Base 2: 1000001

5.

Base 5: 342

Base 10: 97

Base 2: 1100001

6.

Base 5: 141

Base 10: 46

Base 2: 101110

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

Answer:

1.) 10044

2.) 100.44

Step-by-step explanation:

Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.

Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.

36 × 278 = 10,008

36 × 279 = 10,044

10,044 tens digit and unit digit equal. Therefore n = 10044

To find n/100, divide 10044 by 100

10044 / 100 = 100.44

Answer:

1/16

Step-by-step explanation:

........ .. .............

Answer:

1/16.

Step-by-step explanation:

If the question says to find the product, it means to multiply these numbers.

1/2✖️1/8.

Because you cannot cancel out any numbers, you can just multiiply the numerator and the denominator, which gives 1/16.

Hope this helped!

Have a nice day:)

Answer:

3

Step-by-step explanation:

First right out all the data in numerical order from left to right.

2, 2, 2, 3, 4, 5, 7

The median is the middle number in the set.  If there is an even amount of data points, find the average of the two middle numbers.  If there is an odd number of data points, like in this data set, just take the middle number as you median.

There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.

When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3.  Therefore, 3 is the median of this data set.

Answer:

number 4 on edge

Step-by-step explanation:

Answer:

a. 92 minutes b. 7:56am

Step-by-step explanation:

He should leave at 7:56 so he gets to the bus at 8:05,

he gets to Coventry at 9:37 with enough time to walk 12 minutes to get to work before 10am.

Answer:

17

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]

[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]

[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]

[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

Answer:

m=7

Step-by-step explanation:

subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.

Answer: m=7

Step-by-step explanation:

[tex]5m+35=70[/tex]

subtract 35 on both sides

[tex]5m+35-35=70-35[/tex]

[tex]5m=35[/tex]

divide 5 on both sides

[tex]35/5=7[/tex]

[tex]m=7[/tex]

Answer:

Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate

Step-by-step explanation:

The given parameters are;

,                                           Area Tiled (ft²)                                    Time (Hr:min)

,                                            

Toni's Tiles,                                   803                               2:12

Bob's Bathrooms,                         1,460                             4:00

Rhonda's Restroom Redos          753                                1:30

The unit rate for each tiler

Toni's Tiles = 803/2:12 = 803/(2×60 + 12) =  6.083 ft²/min

Bob's Bathrooms = 1460/(4×60) =  6.083 ft²/min

Rhonda's Restroom Redos  = 753/(60 + 30) = 8.37 ft²/min

Therefore we have;

The rates at which Toni's Tiles and Bob's Bathrooms tile are to one another = 6.083 to 6.083  = 1:1

The rates at which Toni's Tiles and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502

The rate at which Bob's Bathrooms  and Rhonda's Restroom Redos tile are to one another = 73/12×30/251 = 365:502

Therefore, Toni's Tiles and Bob's Bathrooms are in a proportional relationship as they have the same unit rate.

Answer:

47/6

Step-by-step explanation:

Given that :

Time taken to paint 3 cars = 4 hours

Time taken to paint 2 trucks = 5 hours

How long will it take him to paint 4 cars and a truck

If 3 cars = 4 hours ;

Then ;

1 car = (4/3)hours

If 2 trucks = 5 hours

Then;

1 truck = (5/2) hours = 2 1/2 hours

Time required To paint 4 cars :

4 × (4/3) = 16/3 hours

Time required to paint 1 truck :5/2 hours

Total time required :

(16/3 + 5/2) = (32 + 15) / 6 = 47/6

Answer: y = 7

Step-by-step explanation:

Answer:

The value of r is 105

Step-by-step explanation:

Quadratic equation helps us to solve any quadratic equation. The formula is:

(-b ± √b² - 4ac) ÷ 2a

For the quadratic equation ax²+bx+c

For the equation: X² - 9x - 6:

a = 1, b = -9 and c = -6

Replacing in the quadratic formula:

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

Answer:

105 is right

Step-by-step explanation:

I took the test

Answer:

The probability of friend A winning with HH = 1/4.

Step-by-step explanation:

The probability of an event, A is P(A) given by the relationship;

P(A) = (The number of required outcome)/(The number of possible outcomes)

The parameters given are;

The condition of friend A winning = Coin toss sequence HH shows up

The condition of friend B winning = Coin toss sequence TH shows up

The number of possible outcomes = TT, TH, HH, HT = 4

(TH and HT are taken as different for the game to be fair)

The number of required outcome = HH = 1

Therefore;

The probability of friend A winning with HH = 1/4.

For answers, please refer to the picture attached

Answer:

I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....

Step-by-step explanation:

Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°

Angles around a full point add to 360° so add angles together and take away from 360°

On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x

And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle

Hope this helps :)

Answer:

Pregunta 1: Opcion D. 8

Pregunta 2: Opción A. 19 (aunque lo correcto es decir que son 20)

Pregunta 3: 28 años (no está como opción)

Pregunta 4: Opción D. 1/3

Step-by-step explanation:

Las fracciones irreductibles son aquellas que después de dividirlas por un común divisor, una vez que no se pueden dividir más se dice que son irreducibles, por lo tanto no existe ningún número que sea divisor común del numerador y del denominador más que 1.

Fracciones irreductibles con común denominador 24.

Como máximo divisor tenemos el 24 y como mínimo el 1

entre 1/24 y 1 estarán nuestras fracciones o sea:

1/24 < x/24 < 1. Ahora convertimos el 1 en fracción de 24, lo que sería 24/24 para igualar el numerador en ambos lados de la ecuación, para poder determinar x

1/24 < x/24 < 24/24

Como vemos que x tiene que estar entre 1 y 24, las respuestas serán:

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 y 23

Eliminamos los números divisores de 24, aquellos pares, y nos focalizamos en los que no podriamos dividir por nada con 24, o sea los números primos

5, 7, 11, 13, 17, 19, 23. Como nos falta el 1, obtenemos un total de 8 fracciones: 1/24, 5/24, 7/24, 11/24, 13/24, 17/24, 19/24, 23/24

Mismo procedimiento para el 25:

1/25 es una de las fracciones irreductibles. Pensamos en los valores de x

1/25 < x/25 < 25/25

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Los números divisibles por 25, son los multiplos de 5, asi que esas respuestas no irían. Las fracciones irreductibles son:

1/25, 2/25, 3/25, 4/25, 6/25, 7/25, 8/25, 9/25, 11/25, 12/25, 13/25, 14/25, 16/25, 17/25, 18/25, 19/25, 21/25, 22/25, 23/25 y 24/25 haciendo un total de

20. Por alguna razón está mal formulada la pregunta, son 20 pero no está como opción y como te piden fraccion impropia (numerador > denominador), contamos a partir de 26. FIjate que hasta el proximo entero que sería 50/25, también son 20 fracciones (irreductibles e impropias)

26/25, 27/25, 28/25, 29/25, 31/25, 32/25, 33/25, 34/25, 36/25, 37/25, 38/25, 39/25, 41/25, 42/25, 43/25, 44/25, 46/25, 47/25, 48/25, 49/25

Próxima pregunta:

Miguel tiene 4/5 de la edad de la novia, y ambas edades suman 63.

Plantiemos la siguiente ecuacion donde x es la edad de la novia

4/5x + x = 63

9/5x = 63

x = 63 . 5/9 (como 9/5 pasa al otro lado de la igualdad dividiendo, damos vuelta la fraccion multiplicandola)

x = 35

Si la novia tiene 35 años y la edad de Miguel es 4/5 de esa edad

4/5 .35 = (35 .4) /5 = 28

Es raro porque no está la respuesta como tal.

Próxima pregunta:

Al ser las 8 am, quiere decir que han pasado 8 horas de que empezó el día

y el día tiene 24 horas.

8 horas transcurridas / 24 horas totales = 1/3

Answer:

953 902

Step-by-step explanation:

Answer:

953,902

Step-by-step explanation:

nine hundred =900

fifty-three=53

thousand=1000

nine hundred=900

two=2

Answer:

a = x

b = 5

Step-by-step explanation:

for the polynomial x² + 10x + 25, b = 5 and a = x.

In the polynomial x² + 10x + 25, we can observe that the first term, x², is the square of x, and the last term, 25, is the square of 5. This suggests that the polynomial follows the perfect square trinomial identity.

The middle term, 10x, can be rewritten as 2ab, where a represents x and b represents a term that when squared equals the last term, 25.

In this case, b = 5, because 5² = 25.

To find a, we can take the square root of the first term, x². The square root of x² is x, so a = x.

Therefore, for the polynomial x² + 10x + 25, b = 5 and a = x.

Learn more about trinomial identity here

https://brainly.com/question/17033454

#SPJ2

Answer:

75%=x-125

90%=x+250

subtract the second from the first

15%=375

100%=?

100%×375/15

100%=2500marked price is 2500

2500+250=2750

90%=2750

100%=?

cost price=3055.56

Answer:

D

Step-by-step explanation:

Since this is a right triangle, and we are given that one of the other angles is 30°, we have a 30°, 60°, 90° triangle.

In a 30°, 60°, 90° triangle, the side lengths are all related as shown below.

We should determine a first. a is the measure of the side opposite to the 30° angle. Thus:

[tex]a=11[/tex]

The side opposite to the 60° angle is given by a√3. Since a = 11, the side opposite to the 60° angle or x is:

[tex]x=(11)\sqrt{3}=11\sqrt3[/tex]

Finally, the hypotenuse will be 2a. Since a = 11, the hypotenuse or y will be:

[tex]y=2(11)=22[/tex]

Hence, x = 11√3 and y = 22.

Our answer is D.

Answer:

5/2=20/8=35/14=125/50

Answer:

8, 14, 50

Step-by-step explanation:

5 x 4 = 20

2 x 4 = 8

5 x 7 = 35

2 x 7 = 14

5 x 25 = 125

2 x 25 = 50

Answer:

The fraction filled with water is 7/40

Step-by-step explanation:

Okay.

Here we start by calculating the volume of the cylindrical tank.

Mathematically, that would be;

V = π * r^2 * h

From the question

r = 80 cm = 80/100 = 0.8 meters

h = 1.4 meters

π = 22/7

Plugging these values into the volume equation, we have;

V = 22/7 * 0.8 * 0.8 * 1.4 = 2.816 m^3

But mathematically;

1 m^3 = 1000 liters

So 2.816 m^3 = 2.816 * 1000 = 2816 liters

So the fraction filled with water will be;

492.8/2816 = 0.175 = 175/1000 = 7/40

Answer:

[tex]\huge\boxed{L = -2}[/tex]

Step-by-step explanation:

L = 9 ÷ [tex](-4 \frac{1}{2} )[/tex]

L = 9 ÷ [tex](-\frac{9}{2} )[/tex]

L = 9 × [tex](-\frac{2}{9} )[/tex]

L = 1× (-2)

L = -2

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\boxed {l = \frac{-18}{41} }[/tex]

[tex]\frac{\frac{9}{-41} }{2} = l[/tex]

Simplifies to:

[tex]\frac{-18}{41} = l[/tex]

Let's solve your equation step-by-step.

[tex]\frac{-18}{41} = l[/tex]

Step 1: Flip the equation.

[tex]l = \frac{-18}{41}[/tex]

So your answer would be : [tex]\boxed {l = \frac{-18}{41} }[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

The order from least to greatest is B, A, C

Step-by-step explanation:

Given

Recipe A = 3 bananas to 12 Muffins

Recipe B = 5 bananas to 24 Muffins

Recipe C = 11 bananas to 48 Muffins

Required

Order the recipe from least to greatest

To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin

Recipe A: 3 bananas to 12 Muffins

[tex]A = \frac{3}{12}[/tex]

[tex]A = 0.25[/tex]

Recipe B: 5 bananas to 24 Muffins

[tex]B = \frac{5}{24}[/tex]

[tex]B = 0.2083[/tex]

Recipe C: 11 bananas to 48 Muffins

[tex]C = \frac{11}{48}[/tex]

[tex]C = 0.229167[/tex]

By comparison;

Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)

Hence; the order from least to greatest is B, A, C

Answer:

its BCA

Step-by-step explanation: