if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3

Answer:

[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

Step-by-step explanation:

[tex]128m^2n^5-200m^4n^3[/tex] <-- Given

[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²

[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³

[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8

[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares

Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

Answer:

6

Step-by-step explanation:

(2.4×10³)×(3×10^x)=7.2×10^9

(3x10^x)=(7.2×10^9)/(2.4×10^3)

3×10^x=3×10^6

10^x=10^6

*when bases are same ,powers are equated*

thus x=6

Answer:

Step-by-step explanation:

Slope intercept form:

Take two points from the graph:

Find the slope:

Find the y-intercept using point (2, 1) and the equation above:

The line is:

Answer:

Y = 2x - 3 or Y = 8/3x - 3

Step-by-step explanation:

Y = mx + b

we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.

and thus we are 5 units away from 3 which is m = a/c = 8/3

m = 8/3

y = 8/3x - 3

it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2

and so the equation would turn out to be -

y = 2x -3

Answer:

X= -1/3 or 4

Step-by-step explanation:

Answer:

x =-1/3 and x=4

Step-by-step explanation:

solve by factoring:

separate into two equations:

3x+1=0

8-2x=0

(when the products of factors equals zero, at least one factor is zero)

3x=-1

x=-1/3

-2x=-8

x=4

Answer:

30000 is mean, 25000 is median

Step-by-step explanation:

Just a logical explanation

if you have a lot  of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more

and with executives making a lot more, the mean is 30000

sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median

Answer:

Slope = m = 2.50

Y-intercept = b = 2.50

Step-by-step explanation:

Given equation is:

[tex]y=2.50x+2.50[/tex]

Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:

Slope = m = 2.50

Y-intercept = b = 2.50

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

The number 1000 represents the amount of trash originally in the landfill.

Given that,

The same amount of trash is dumped into a landfill every day.

The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

We have to determine,

What does the number 1,000 represent?

According to the equation,

The function is,

n = 2000x + 1000

The initial value of a function is defined as the started value of the function independent of any variables present in the function.

Here, n represent the amount of trash and x represents the number of days.

Therefore,

n = 2000x + 1000

In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.

Hence, The number 1000 represents the amount of trash originally in the landfill.

For more information about Equation refer to the link given below.

https://brainly.com/question/7383794

The correct answer would be A, the amount originally in the landfill.

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

Read morer about Percentages at; https://brainly.com/question/843074

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

Answer:

It would be

(1, -3) or D :]

The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is

1/2 • 4.6 mm • 3.4 mm = 7.82 mm²

Answer:

-12, -11, 4, 12

Step-by-step explanation:

A negative number is less the higher it is, and a positive number is more the higher it is

Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

14r = 3r+1 (combine like terms)

11r = 1

r = 1/11

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Answer:

Answer is A and C on edge

Step-by-step explanation:

The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

When the two or more than two functions are written in the form of single function. Then such function is called the composite function.

Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,

[tex]f[g(x)][/tex]

The volume of air in a balloon is represented by the function,

[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]

Here, r is the radius of the balloon, in inches.

The radius of the balloon increases with time, in seconds, by the function,

[tex]r(t) = \dfrac{1}{4}t^2[/tex]

The composite function that can be used to determine the volume of the balloon after t seconds is,

[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]

After the 6 seconds,

[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]

Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

Learn more about the composite function here;

https://brainly.com/question/10687170

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Step-by-step explanation:

Annie = x

Brianna = y

Carly = z

Now,

x + y + z = 105 ...(1)

Carly has sold ten more than three times Brianna's sales.

z = 10 + 3y ...(2)

Brianna sold five more than Annie.

y = 5 + x ...(3)

Now,

z = 10 + 3y

z = 10 + 3(5 + x)

z = 10 + 15 + 3x

z = 25 + 3x

Now,

x + y + z = 105

x + (5 + x) + 25 + 3x = 105

5x + 30 = 105

5x = 105 - 30

5x = 75

5x/5 = 75/5

x = 15

So,

y = 5 + x

y = 5 + 15

y = 20

Now,

z = 25 + 3x

z = 25 + 3(15)

z = 25 + 45

z = 70

Thus,

Annie Sold 15 boxes

Brianna Sold 20 boxes

Carly Sold 70 boxes

Step-by-step explanation:

hope it will help you.....

Answer:

x = 5 and y = 8.7

See attached image for working

Step-by-step explanation:

Since it's a right angle triangle you can use sin and cos.

Answer:

that is dependent event when you are taking out first marble permanently

Answer:

785 almonds

Step-by-step explanation:

157 x 5 = 785

Answer:

[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]

Answer:

[tex]-72+18h[/tex]

Step-by-step explanation:

[tex]-9(8-2h)[/tex]

[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-9(8-2h)[/tex]

[tex]-9\cdot8=-72[/tex]

[tex]-9\cdot-2=18[/tex]

[tex]=-72+18h[/tex]

[tex]\tt (1 - sin ^2x)\times(1+tan^2x) = 1[/tex]

L.H.S

[tex]\tt cos^2x \times sec^2x[/tex]

[tex]\tt cos^2x \times \frac{1}{cos^2x}[/tex]

[tex]\tt \cancel{ cos^2x} \times\cancel{ \frac{1}{cos^2x}}[/tex]

[tex]\tt 1[/tex]

R.H.S

Hence proved

Step-by-step explanation:

[tex]{ \tt{ \blue{(1 - { \sin}^{2}x )(1 + { \tan }^{2}x) = 1 }}}[/tex]

• Remember → 1 + tan²x = sec²x

[tex] = { \tt{ \blue{(1 - { \sin }^{2}x)( { \sec}^{2}x) }}}[/tex]

• But sec²x → 1/cos²x

[tex] = { \tt{ \blue{(1 - { \sin}^{2} x)( \frac{1}{ \cos {}^{2} x} )}} }\\ \\ = { \blue {\tt{ \frac{1 - { \sin }^{2}x }{ { \cos }^{2}x } }}}[/tex]

• Remember from the first identity of trignometry;

[ cos²x + sin²x = 1 ].

• Therefore: [ cos²x = 1 - sin²x ]

[tex] = { \blue{\rm{ \frac{1 - { \sin}^{2}x }{1 - { \sin }^{2}x } }}} \\ \\ { \rm{ \blue{= 1 \: }}}[/tex]

Hence proved.

Step-by-step explanation:

the slower plane traveled x miles in 4 hours.

the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.

so,

x + x + 320 = 3800 miles

2x =3480 miles

x =1740 miles (in 4 hours) .

that means the slower plane's speed was 435 mph.

and the faster plane's speed was 435 + 80 = 515 mph.

Answer:

In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.

Step-by-step explanation:

Answer: 71 percent

Step-by-step explanation:

64-21=43

43/64=.71  

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8