Noah works at a concession stand selling bags of popcorn and cans of soda. A bag of popcorn costs $2.50 and a can of soda costs $1.50. One night, he notices that he sold a total of 300 items and collected a total of $522. Determine the system of equations that could be used to solve this problem, where x represents the number of bags of popcorn sold and y represents the number of cans of soda sold

Answer:

−x(3−9x+8x^2+2x^3)

That's the answer simplified. Not simplified is −3x−9x^2+8x^3+2x^4

Step-by-step explanation:

Answer:

The answer is b.

Step-by-step explanation:

Square root 124, you'll get 29.10, after that once you simplify it, you will get the answer and you will have to do the formula, a^2 + b^2 = c^2 since it is a triangle.

Answer:

x = 11,

m∡LMN = 124°

Step-by-step explanation:

since NO bisects ∡LMN, then ∡LMO = ∡NMO

so we can do the following to solve for 'x':

8x - 26 = 2x + 40

6x = 66

x = 11

now, plug 11 in for 'x' into either expression and double it, since ∡LMN is made up of two equal angles

8(11) - 26 = 88 - 26 = 62

62 x 2 = 124

Answer:

I think it's 18

Step-by-step explanation:

1.5 x 1.5 is the first area of a single side, which is 3. 3 x 6 is 18.

sorry if this is wrong!

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Distribution of years of experience:

Mean 3, so [tex]\mu = 3[/tex]

Standard deviation 2, so [tex]\sigma = 2[/tex]

Sample of 4:

[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{3.5 - 3}{1}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Answer:

We cannot calculate this probability because the sampling distribution n ot normal

Step-by-step explanation: Khan academy

Answer:

Step-by-step explanation:

Hhggggy

Answer:

5

Step-by-step explanation:

Answer:

∠W=110

∠X=110

∠Y=70

∠Z=70

Step-by-step explanation:

∠X+∠Y=180 (supplementary angles)

(13x-7)+(8x-2)=180

21x=189

x=9

∠X = 13x-7 = 13(9)-7 = 117-7 = 110

∠Y = 8x-2 = 8(9)-2 = 72-2 = 70

Since WX║ZY and WZ=XY, ∠Z=∠Y and ∠W=∠X

Answer:

a is -3

Step-by-step explanation:

negative 3 minus 2 is negative 5 plus 3 is negative 2

Answer:

The slope of the tangent m = -0.0833

Step-by-step explanation:

Step(i):-

Given that the curve

      x y - 2y² + x² = -5 ...(i)

Differentiating equation (i) with respective to 'x', we get

  [tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]

    [tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]

    [tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]

       [tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]

Step(ii):-

The slope of the tangent

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]

       m =   [tex]\frac{-2+1.5}{1+6}[/tex]

       [tex]m = \frac{-0.5}{6} = -0.083[/tex]

The slope of the tangent m = -0.0833

Answer:

hope it helps you

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Answer:

13/16

Step-by-step explanation:

Turn [tex]\frac{7}{16} +\frac{3}{8}[/tex] into [tex]\frac{7}{16} +\frac{6}{16}[/tex]

If both denominators are the same the number it makes it easier to add.

Since 8*2 is 16 you have to do 3*2 in order for 3/8 and 6/16 to be equivalent.

then add the top numbers, not the bottom bc the bottom stays the same.

7+6=13 so the answer is 13/16

hope that helps:)

Answer:

triangle

Step-by-step explanation:

The cross section is a triangle.

Answer:

i think either a square or rectangle

Step-by-step explanation:

Answer:

9/2

Step-by-step explanation:

Answer: fraction

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

For example, 10% can also be .10.

You just move the decimal two places to the right or left depending on which one you want.

Answer:

4

Step-by-step explanation:

If I remember correctly you can not have the arrows on the same y axis

Answer:

2/3

Step-by-step explanation:

2/3

Answer:

9/13

Step-by-step explanation:

Answer:

43 degrees

Step-by-step explanation:

Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.

Tan B = [tex]\frac{opp}{adj}[/tex]

Tan B = [tex]\frac{15}{16}[/tex]

      B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])

      B = 43.15238973 degrees

Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.

Answer:

43 degrees

Step-by-step explanation:

i did the work

Answer:

K over two minus five

Step-by-step explanation:

I think?

Answer:

783.8696

Step-by-step explanation:

The way to find the area of a circle is to find the radius, multiply it by itself, then multiply by pi. The diameter is double the radius so we have to divide the diameter by 2 to find the radius. 31.6/2 is equal to 15.8, and if we plug it into our formula, we can find that the area is 15.8 * 15.8 * pi, and since we use 3.14 for pi, the area is 15.8 * 15.8 * 3.14. We can use a calculator for this part and find that the area of this circle is 783.8696.

Area of a circle is PI x r^2

You are given the diameter, the radius is half the diameter:

Area - PI x 1/2(diameter)^2

Area = 3.14 x 1/2(31.6)^2

Area = 3.14 x 15.8^2

Area = 3.14 x 249.64

Area = 783.8696 sq. cm. ( Round answer as needed)

Answer:

[tex]x+5=2x-1[/tex]

combine terms

subtract x from both sides and add 1 to both sides

[tex]6=x[/tex]

Answer is A

Answer:

1) AB = 10cm

2) 70 degrees

3) 12m

4) 10m

5) 32 degrees

6) 9 + 9 = 18m

Answer:

There are 12

Step-by-step explanation:

hope this helps.

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

Answer:

Step-by-step explanation:

35 = x% of 70

35 = 1/2 of 70

x% = 50%

x = 50

Answer:

7.75

Step-by-step explanation:

31 divided by 4= 7.75

Answer:

10$ each

Step-by-step explanation:

Answer:

y = 1/4x - 3/2

Step-by-step explanation:

for slope, use formula (y2-y1)/(x2-x1):

(-1-(-2))/(2-(-2))

=1/4

use formula y=mx+b for equation:

y=1/4x+b (substitute x and y for either (-2, -2) or (2, -1))

-1=1/4(2)+b

-1=1/2+b

-3/2 = b

equation:

y = 1/4x - 3/2