Write 150 as a product of primes. Use index notation where appropriate.

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation [tex]x^2-4=5x[/tex]

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

[tex]x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30[/tex]

As 32 ≠ 30, 6 is not a solution to the given equation.

Answer:

He needs approximately 46 feet of fencing.

Step-by-step explanation:

John's garden has a shape of a composite figure as shown in the annexed drawing. To find the length of the fencing he needs we need to find the perimeter of the rectangle and subtract it with the width and find the length of the circle and divide it by two. This is done below:

[tex]\text{fence} = (\text{rectangle perimeter} - \text{width}) + (\frac{\text{circle perimeter}}{2})\\\text{fence} = (2*14 + 2*7 - 7) + (\frac{2*\pi*3.5}{2})\\\text{fence} = 35 + 11 = 46 \text{ feet}[/tex]

He needs approximately 46 feet of fencing.

Answer:

46

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

The options are:

A. Magnitude is never a negative value

This is true because the magnitude is only a representation of the numerical value of a number. It is the distance of the number from the 0 point on the number line. It is the absolute value of a number.

Hence, the polarity of the number is not necessary.

B. The magnitude of –1.9 is |–1.9| which is 1.9

This is true because they have the same numerical value.

C. The absolute value of a number is greater than its magnitude

This is false because absolute value and magnitude of a number are the same.

D. The numbers –4 and 4 have the same magnitude

This is true. They have the same absolute value, hence, they have the same magnitude.

E. The magnitude of -2/3 is less than the magnitude of 2/3

This is false as already explained in C above.

Answer:

a b d

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

During his time bird watching, he sees 1+1+5+8+1=16 different birds in total. Out of those, 8 are cormorant, which means that the experimental probability that the next one is is 8/16=1/2. Hope this helps!

Answer:

-8

Step-by-step explanation:

Answer:

Let's do this step by step

Step-by-step explanation:

I hope this helps

Answer:

7+42x

Step-by-step explanation:

7(1+6x)

Distribute

7*1 + 7*6x

7+42x

Answer:

7 + 42x

Step-by-step explanation:

Use the distributive property

7 + 42x

Step-by-step explanation:

4(3x-2) + 6x(2-1)

10x + 11x

21x

Answer:

18x - 8

Step-by-step explanation:

Answer:

4 log 5 = log 625.

Step-by-step explanation:

I am assuming you mean 5^4 = 625

Taking logs

log 5^4 = log 625

4 log 5 = log 625.

Answer:

-8

Step-by-step explanation:

m∠3 + m∠5 = 180 (interior angles are supplementary)

-4x + 5 + (-13x + 39) = 180

-4x + 5 -13x +39 = 180

-17x = 180 - 5 - 39

-17x = 136

x = 136/(-17) = -8

Answer:

1 litro de leche cuesta 2.5

1 kg de jamón serrano cuesta 35

1 litro de aceite de oliva cuesta 7,5

Step-by-step explanation:

Pregunta correcta completa

Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.

Solución

Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.

16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240

16x + 4y + 8z = 240 (ecuación 1)

1 litro de aceite cuesta el triple de 1 litro de leche

z = 3x (ecuación 2)

Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.

y = 5x + 3z (ecuación 3)

Sustituyendo las ecuaciones 2 y 3 en la ecuación 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recordemos que z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

English Translation

A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.

Solution

Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.

16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240

16x + 4y + 8z = 240 (eqn 1)

1 liter of oil costs the triple of 1 liter of milk

z = 3x (eqn 2)

And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil

y = 5x + 3z (eqn 3)

Substituting eqn 2 and 3 into eqn 1

16x + 4(5x + 3z) + 8(3x) = 240

16x + 20x + 12z + 24x = 240

Recall that z = 3x

36x + 12(3x) + 24x = 240

36x + 36x + 24x = 240

96x = 240

x = (240/96) = 2.5

z = 3x = 3 × 2.5 = 7.5

y = 5x + 3z = (5×2.5) + (3×7.5) = 35

1 liter of milk costs 2.5

1 kg of Serrano ham costs 35

1 liter of olive oil costs 7.5

Hope this Helps!!!

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

3 = (3/2)*(-1) + b

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Answer:

a = 180 - 92 - 27=61

b = 92 + 27= 119

Step-by-step explanation:

Answer:

Interior Angle A = 180 - (27 +92)

= 180 - (119)

= 61 degrees

Exterior Angle B = 180 - 61

= 119 degrees

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

Answer:

XZ

Step-by-step explanation:

The intersection of the 2 planes is along the line XZ

The intersection of the two planes in the image below is along the line XZ.

The intersection of the x-axis, the horizontal line, and the y-axis, the vertical line, creates a coordinate plane, which is a two-dimensional plane. The origin is the point at which these parallel lines cross one another.

A coordinate plane is a framework for graphing and describing lines and points. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis.

In the given image there are two planes one is horizontal and the second is vertical they are intersecting at line XZ.  The intersection of the 2 planes is along the line XZ.

Therefore, the intersection of the two planes in the image below is along the line XZ.

To know more about plane coordinate follow

https://brainly.com/question/10737082

#SPJ5

[tex]answer \\ (3x - 5)(2x + 2) \\ solution \\ {6x}^{2} - 4x - 10 \\ = {6x}^{2} - (10 - 6)x - 10 \\ = {6x}^{2} - 10x + 6x - 10 \\ = 2x(3x - 5) + 2(3x - 5) \\ = (3x - 5)(2x + 2) \\ hope \: it \: helps[/tex]

Answer:

x = 1⅔ or -1

Step-by-step explanation:

6x² -4x - 10

a=6, b=-4, c=-10, ac= -60

factors -10 & 6

6x² + 6x - 10x -10 =0

(6x² + 6x) - (10x - 10) =0

6x(x +1) - 10(x+1) =0

(6x-10)(x+1)=0

6x-10=0 or. x+1=0

6x= 10 or x= -1

x= 10/6 or. x= -1

x=1⅔ or x= -1

Answer:

If you meant 3.5 then its 3.5.

Answer:

x=2

Step-by-step explanation:

6x−5=13−3x

Step 1: Simplify both sides of the equation.

6x−5=13−3x

6x+−5=13+−3x

6x−5=−3x+13

Step 2: Add 3x to both sides.

6x−5+3x=−3x+13+3x

9x−5=13

Step 3: Add 5 to both sides.

9x−5+5=13+5

9x=18

Step 4: Divide both sides by 9.

[tex]\frac{9x}{9}[/tex]= [tex]\frac{18}{9}[/tex]

x = 2

Answer: x=2

Step-by-step explanation:

Start by adding 3x to 6x, this eliminates the variables on the right side of the equation and leave you with 9x-5=13. From here, add five to both sides of the equation, which cancels out on the left side and leads you to have 18 on the right side. Remember that you want to have a lone variable, so you take the current equation of 9x=18 and divide both sides by 9, which cancels out on the left side and leaves the right side as 2. Therefore, x=2.

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

Answer:

[tex]cos(150^o)=-\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Recall that the value of the cosine of an angle in the unit circle is the horizontal value (x-coordinate) read-out for the point on the circle's circumference that represents the given angle.

in this case, notice that [tex]150^o[/tex] corresponds to an angle in the second quadrant, and the actual coordinate values for it are given to you. therefore, use the value you read for the x-coordinate: [tex]-\frac{\sqrt{3} }{2}[/tex]

Answer:

B

Step-by-step explanation:

In an isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

Answer:

121

Step-by-step explanation:

i took the quiz

Answer:

0.15p+3=9

Lyda ordered 40 photos or p=40

Step-by-step explanation:

The formula for this is:

0.15p+3

Where p is the amount of pictures ordered.

0.15p+3=9

Subtract 3 from both sides

0.15p=6

Divide both sides by 0.15

p=40

Lyda ordered 40 photos

Answer:

Dear student,

Answer to your query is provided below

Probability of drawing a 2 at first is (4/52) = (1/13)

Probability of drawing a face card in second try without replacement = 12/51

Step-by-step explanation:

Total no. Of cards = 52

Total no. Of cards of 2 = 4

Prob. Of drawing 2 = 4/52

Total no. Of face card = 12

Total no.of cards left in deck = 51

Prob. Of drawing face card = 12/51

Answer:

C. 14.75

Step-by-step explanation:

To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:

12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18

Total numbers in the set: 12

All numbers added together: 177

177 / 12 = 14.75

brainliest is always epic :)

Answer:

Step-by-step explanation:

1. First add all the listed numbers which equals to 177

2. Divide 177 by the amount of number given above so there are

12 numbers

So 177÷12= 14.75

Answer is c

Answer:

the measure of angle ABC is 73°

Step-by-step explanation:

This is  inscribed angle and theorem says that its measure is 1/2 of intercepted arc

m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°

Answer:

It is 180 degrees

~Hope this helps!!Stay safe~

Answer:

Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.

Answer:

The perfect squares it lies between are 64 and 81

The answer is 6√2

And it lies between the numbers 8 and 9

Hope this helps.

Answer:

the real answer is 64 -75   8-9

72  is a rational number

Step-by-step explanation: