8 ounce bag contains 86 pieces. how much would be in a 12 ounce bag

2^4n × 2^ 2n = 512 What is the value of n.

Marina86 [1]

Step-by-step explanation:

${2}^{4n} \times {2}^{2n} = 512$

${2}^{4n} \times {2}^{2n} = {2}^{9}$

${2}^{4n + 2n} = {2}^{9}$

$6n = 9$

$n = \frac{3}{2}$

8 0

2 years ago

Read 2 more answers

Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step

Lilit [14]

Answer: First option.

Step-by-step explanation:

The complete exercise is attached.

In order to solve this exercise, it is necessary to remember the following property:

The Multiplication property of Equality states that:

$If\ a=b\ then\ a*c=b*c$

In this case, the equation that Jada had is the folllowing:

$-\frac{4}{9}=\frac{x}{108}$

Jada needed to solve for the variable "x" in order to find its value.

The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

$(108)(-\frac{4}{9})=(\frac{x}{108})(108)\\\\-48=x$

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by $-\frac{4}{9}$ and the right side by $-\frac{9}{4}$ .

Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.

3 0

3 years ago

Read 2 more answers

How to do question 5 and 6. Can you explain the first one which is A for 5 and 6? Thank you

Illusion [34]

for 6

in a

given

slope(m)=1

point=(2,-4)=(x1,y1)

we know

equation of straight line

y-y1=m(x-x1)

y+4=1(x-2)

y+4=x-2

therefore x-y-6=0 is the required equation

substituting with ax+by+c=0 we get

a=1

b= -1

c= -6

4 0

3 years ago

Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr

goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5 ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 × 180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572 Answer

3 0

3 years ago

PLEASE HELP PLEASE PLEASE

Phantasy [73]

-2(-2)^4 + 5(-2)^2 - 4

-2(-2)= 4. 4^4= 16

5(-2)= -10. -10^2= 100 - 4= 96

96 + 16= 112

Answer: 112

8 0

3 years ago