if 9% of 84 students like pizza if 6% like hotdogs and 50% like nachos in 6% like candy how much percentage is left popcorn

Answer:

[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].

Step-by-step explanation:

Let [tex]p(x)[/tex] denote the polynomial in question.

The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:

[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].

Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:

[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].

Expand this expression to obtain:

[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].

i would be as likely to happen because there are more red cubes then any other cubes.

Answer:

[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]

Step-by-step explanation:

[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]

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Explanation:

If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).

There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.

There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.

That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1

Answer:

10: Reflex

11. Acute

12. Obtuse

Step-by-step explanation:

Reflex: Greater than 180 but less than 360

Acute: Less than 90

Obtuse: Greater than 90 and less than 180

Answer:

I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.

Step-by-step explanation:

Answer:

50/50

Step-by-step explanation:

Answer:

depends on how many there are in a deck. But going from the usual, it would be 2/52

Step-by-step explanation:

(52 is how many cards there are, if theres a different amount then change it to that)

Answer:

y = 12/5 = x + 7

hope this helped

lol

At the 8th week Jeremiah will be running 24 miles to train for a race.

Given Data

The rule for finding the mile for the 8th week is

Mile (n) = 6+2(n)

hence for n = 8

Mile (8) = 6+2(8)

Mile (8) = 6+16

Mile (8) = 24 miles

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Answer:

She can buy 4 books

Step-by-step explanation:

If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!

Answer:

The car is moved accross the y axis, then is moved down under the x axis. :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

96

Step-by-step explanation:

Answer:

the answer of this question

is 96

Answer:

d)sell 2 more apple pies

Step-by-step explanation:

increasing 12 apple pies sold to 14 sold would increase the range.

Answer:

V = (4/3)πr3 ≅ (4/3)(3.14)(3 in)3 ≅ 113.0 in3

Step-by-step explanation:

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:

Distance covered = 12 mph * x = 12x miles

The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.

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Answer:

Step-by-step explanation:

Solve the following system:

{3 y + 2 x = -2 | (equation 1)

{-y + 52 x = -2 | (equation 2)

Swap equation 1 with equation 2:

{52 x - y = -2 | (equation 1)

{2 x + 3 y = -2 | (equation 2)

Subtract 1/26 × (equation 1) from equation 2:

{52 x - y = -2 | (equation 1)

{0 x + (79 y)/26 = -25/13 | (equation 2)

Multiply equation 2 by 26:

{52 x - y = -2 | (equation 1)

{0 x + 79 y = -50 | (equation 2)

Divide equation 2 by 79:

{52 x - y = -2 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Add equation 2 to equation 1:

{52 x + 0 y = -208/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Divide equation 1 by 52:

{x + 0 y = -4/79 | (equation 1)

{0 x + y = -50/79 | (equation 2)

Collect results:

Answer: {x = -4/79, y=-50/79

Answer:

the area of triangle formula is A = B*H  / 2

so it means 16 square = (x+4) x /2

so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6

so x = -2 -6 = -8 or x= -2 +6 = 4

x must be positive so x = 4

Step-by-step explanation:

Answer:

Answer:

[tex]7 {x}^{2} + 19x - 8 \\[/tex]

Step-by-step explanation:

[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]

Answer: Step 4

Step-by-step explanation:

There is no equation to substitute into, the reason should be 'Pythagorean theorem'.

Answer:

see explanation

Step-by-step explanation:

45,612 × [tex]\frac{1}{2}[/tex] = 22,806

Thus Beth sold half the number of books that Rodney sold

(4)

[tex]\frac{1}{2}[/tex] × 2,175 = 1,087.5 < 2,175

Answer:

280 Cubes

Explanation:

This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.

The amount of money that should be invested at 7% compounded daily is $199,421.68.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where:

Given the following data:

Future value = $200,000.

Interest rate = 7% = 0.07.

Time = 15 year.

Substituting the given parameters into the formula, we have;

[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]

P = $199,421.68.

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Answer:

x=11.5

Step-by-step explanation:

Answer:

T9 = 5/256

Step-by-step explanation:

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256

Answer:

12 meters

Step-by-step explanation:

2x9=18 (get both widths)

42-18=24 (take away widths of 9m)

24/2=12 (divide by 2 to get one length)

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x² - 6x = 8

Add 9 on both sides, then we have

x² - 6x + 9 = 8 + 9

(x - 3)² = 17

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

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The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.

Agent's earnings = 11% x $81,400 =$8,954

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Answer:

where's question.....