18x-108
-----------
6x-54

simplify the expression




A.

B.

C.

D.

Answer: Associative Property of Addition

This property says that we can group terms in any order we want, and the results of the addition would be the same.

For example, 2+(3+4) = 2+(7) = 2+7 = 9 and (2+3)+4 = (5)+4 = 5+4 = 9. Therefore, 2+(3+4) = (2+3)+4 is a true equation since both sides evaluate to 9.

This property works not only for rational numbers, but for any real numbers.

Answer:

Rs. 6175

Step-by-step explanation:

Number of dress materials purchased = 6

Cost of each dress material = Rs.1235

Number of shirts purchased = 5

Cost of each shirt = Rs.1635

How much does she spend for dress materials?

Total cost of dress material = Number of dress materials purchased × Cost of each dress material

= 5 × Rs.1235

= Rs. 6175

Total cost of dress material = Rs. 6175

Answer:

a = 2.5, b = 1

Step-by-step explanation:

Given the 2 equations

4a = 5b + 5 → (1)

2a = 3b + 2 → (2)

Multiplying (2) by - 2 and adding the result to (1) will eliminate a

- 4a = - 6b - 4 → (3)

Add (1) and (3) term by term to eliminate a

0 = - b + 1 ( add b to both sides )

b = 1

Substitute b = 1 into either of the 2 equations and solve for a

Substituting into (2)

2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )

a = 2.5

Answer:

a = 2.5

b = 1

Step-by-step explanation:

4a = 5b + 5 and 2a = 3b + 2

→ Multiply the second equation by 2

4a = 6b + 4

→ Subtract this new equation from the first one

0 = b - 1

→ Find b by adding 1 on both sides

b = 1

→ Substitute b into one of the equation

4a = ( 5 × 1 ) + 5

→ Simplify

4a = 10

→ Divide both sides by 4

a = 2.5

Answer:

(- ∞,∞)

there is no restriction when taking  cube roots

Step-by-step explanation:

Answer:

try 4

Step-by-step explanation:

basically need to find number that when multiplied 3 times equals 64 so 4*4*4=64

Answer:

We should expect 818 chicks to hatch in 19 to 28 days

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean of 22 days and standard deviation of approximately 3 days.

This means that [tex]\mu = 22, \sigma = 3[/tex]

Proportion between 19 and 28 days:

p-value of Z when X = 28 subtracted by the p-value of Z when X = 19.

X = 28

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 22}{3}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.977.

X = 19

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{19 - 22}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.159.

0.977 - 0.159 = 0.818

Out of 1000:

0.818*1000 = 818

We should expect 818 chicks to hatch in 19 to 28 days

Answer:

1a. The other addend of 17,300

1b. 17,300 and 11,210

1c. 17,300-11,210

1d. 17,300-11,210= 6090

1e. 6090

2a. The other factor of 954

2b. 954 and 318

2c. 954-318

2d. 954-318= 636

2e. 636

3a. The total amount of fruit Hector bought.

3b. 7 and 24

3c. 7 x 24

3d. 7 x 24 = 168

3e. 168 fruits

Answer:

1 / sqrt(3)

Step-by-step explanation:

tan(o) = sin(o) / cos(o)

sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.

cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.

so,

tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)

Answer:

Step-by-step explanation:

Answer:

x × 3 + 5[tex]x^{2}[/tex] - x- 5

reorder the terms

3x + 5[tex]x^{2}[/tex] - x - 5

collect like terms

2x + 5[tex]x^{2}[/tex] - 5

reorder the terms

Solution

5[tex]x^{2}[/tex] + 2x -5

Answer:

[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]

Answer: x = 100 duck

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Y=4/-2

Step-by-step explanation:

Answer:

∆a = 1/2

Step-by-step explanation:

parabolas cross the x-axis at (-4, 0) and (6, 0)

y = a(x + 4)(x - 6)

At the y-intercept x = 0

y =  a(0 + 4)(0 - 6)

y = -24a

-----------------------

y-intercept of the first parabola is (0,–12)

-12 = -24a

a = 1/2

-----------------------

y-intercept of the second parabola is (0, -24)

-24 = -24a

a = 1

----------------------

What is the positive difference between the a values

∆a = 1 - 1/2

∆a = 1/2

Answer:

B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero

B.

Hope this helps <33!

Answer:

A. x>11

Step-by-step explanation:

15 < 4 + x

take 4 to the LHS this becomes 15 - 4 < x

•°• 11 < x

< means less than

Therefore x is greater than 11

x > 11

Answer: they are abt the same its all abt percentage now- Pitcher A

Step-by-step explanation: more water lessens the strength

Answer:

(2,-2)

Step-by-step explanation:

Its just (-7+9 , 1-3)

Answer:

P' = (2,-2)

Step-by-step explanation:

P = (-7,1)

T(x,y) = (x + 9, y - 3)

(-7 + 9,1 - 3) = (2,-2)

Answer:

7

Step-by-step explanation:

2(5) -3

10-3

7

Answer:

2miles = $3

6 miles = $5

3 miles

Step-by-step explanation:

By observation of the graph, the lines match up from 2 miles to $3

Answer:

offcourse it will be 2 miles .

one is 1800 and another is 1200

Step-by-step explanation:

let no's be A and B

so, A+B =3000

given, 8% = 8/100 = 2/25

12%= 12/100 = 3/25

As per question 8% of A is = 12% of B

so, (2/25)*A = (3/25)*B

now, multiply cross wise

then we get, (A/B) = 3:2

thus two numbers are in the ratio of 3:2

so, let A =3x, B=2x

cause sum of these is 3000 so, A+B =3000

3x+2x =3000

5x = 3000

x= 3000/5

.: x = 600

so, first no is 3x =3*600=1800

2nd no is 2x= 2*600= 1200

Hope this helps you

Answer:

It will take approximately 25 months

Step-by-step explanation:

The amount owed on the credit card statement, P = $2,000

The interest rate of the credit on the credit card, r = 18.9%

The minimum monthly payment made, M = $100

The equal monthly installment formula is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Therefore, we get;

[tex]100 = \dfrac{2,000 \cdot \left(\dfrac{0.189}{12} \right) \cdot \left(1+\dfrac{0.189}{12} \right)^n }{\left(1+\dfrac{0.189}{12} \right)^n - 1} = \dfrac{2,000 \times\left(0.01575 \right) \cdot \left(1.01575 \right)^n }{\left(1.01575\right)^n - 1}[/tex]

100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ

100×1.01575ⁿ - 31.50×1.01575ⁿ = 100

68.5×1.01575ⁿ = 100

1.01575ⁿ = 100/68.5

n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)

Therefore, it will take approximately 25 months to pay off the credit card debt

Answer:

The perimeter is 72 inches

Step-by-step explanation:

using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.

[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]

now you just add the values, 30 + 24 + 18

Step-by-step explanation:

13x - 12 = 7x - 6( remaining side of the similar triangle is equal).

Answer:

50kg de café torrado

30kg de café arábico

Step-by-step explanation:

Queremos obtener un total de 80kg de café molido.

Se utilizarán:

Café arábico, que cuesta $18 el kg

Café torrado, que cuesta $10 el kg

Queremos que el precio, por kilo, de la mezcla de 80kg sea $13.

Ok, primero debemos definir las variables:

Definamos:

x = cantidad de café arábico usado

y = cantidad de café torrado usado.

Entonces, como la mezcla deberá tener 80kg en total, tenemos:

x + y = 80kg

Y el costo total de esta mezcla será:

x*$18 + y*$10

Si lo dividimos por el peso total, tendremos el costo por kilo, que es:

(x*$18 + y*$10)/80kg

Y queremos que esto sea igual a $13, entonces tenemos la ecuación

(x*$18 + y*$10)/80kg = $13

Ok, ahora tenemos dos ecuaciones, es decir, tenemos un sistema de ecuaciones:

x + y = 80kg

(x*$18 + y*$10) = $13*80kg

(donde reescribimos levemente la segunda ecuación)

Ok, para resolver este sistema trataremos de reemplazar variables, para ello, el primer paso es aislar una de las variables en una de las ecuaciones.

Aislemos x en la primera:

x = 80kg - y

Ahora reemplazamos esto en la otra ecuación:

(x*$18 + y*$10) = $13*80kg

(( 80kg - y)*$18 + y*$10) = $13*80kg

Ahora podemos resolver esto para la variable y:

$18*80kg - $18*y + $10*y = $13*80kg

$18*80kg - $13*80kg = $18*y - $10*y

($18 - $13)*80kg = ($18 - $10)*y

$5*80kg = $8*y

($5*80kg)/$8 = y

50kg = y

Se usan 50kg de café torrado.

y como:

x + y = 80kg

x = 80kg - y

x = 80kg - 50kg = 30kg

Entonces los 30kg restantes serán de café arábico.

y la estrategia utilizada fue el remplazo de variables.

Answer : I think it is 10899

Answer:

Option c, 35

Step-by-step explanation:

<A and <B are supplementary,

so, <A+<B = 180

or, 3x-9+2x+14=180

or, 5x+5=180

or, 5x=175

or, x=35

Answered by GAUTHMATH

Answer:

9-2 /10-2

7/8

4+3/5+3

7/8

fraction is 7/8