Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.

Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

Answer: $75

Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.

We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.

15/2 = $7.50. The account makes $7.50 interest pear year.

We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.

$7.50 x 10 = $75 in 10 years.

Ani dont know

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

Everything equals 180. This means that the 90 degree angle creates half of that would mean that everything on the right side of the 90 degree angle, also has to equal 90 degrees. X=22.5 because you have to combine like terms meaning x + 3x = 90- 4x=90. Divide by 4 on both sides of the equals sign. Plug that into a calculator and you get 22.5 Since it is only asking for the singular x, you don't have to solve for 3x. (It would be 67.5)

Answer:

1.75 degrees

Step-by-step explanation:

Answer:

The total surface area is 973.89 ft

Step-by-step explanation:

The formula for the surface area of a cylinder is A=2πrh+2πr2.

The top cylinder has a radius of 5 ft, and height of 2 ft.

The bottom cylinder has a radius of 10 ft, and a height of 2 ft.

Plug in the numbers for each and you get:

Top Cylinder:

A=2π(5)(2)+2π(5^2)

A=2π(10)+2π(25)

A= 62.83185307 + 157.079327

A= 219.9111801

A≈ 219.91

Bottom Cylinder:

A= 2π(10)(2)+2π(10^2)

A= 2π(20)+2π(100)

A= 125.6637061 +  628.3185307

A= 753.9822368

A≈ 753.98

Combined:

753.98 + 219.91 = 973.89

Answer:

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Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The prism will have

L=6, W=3 and H=4

not sure about the question, it is a rectangular prism,

it cant be a cube

$4x-5$ is less than 25$

Answer: Bianca is right.

Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]

Answer:

Step-by-step explanation: I think I know:7A+10B=222_5&-&6&6&656&&6&&5&5&&5'5'-6-

Answer:

1. 10.8 radians

2. 236.3 meters

Step-by-step explanation:

The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.

1. Through how many radians does Karen turn in 101 minutes?

1 revolution = 360°

Hence since Seattle rotates 1.02 revolutions every hour

Step 1

We convert to degrees per minute

= (360 × 1.02 revolutions/hour)/60 minutes

= 6.12 degrees per minute

Step 2

Convert to radians

Number of minutes = 101 minutes

Hence:

(6.12 degrees per minute × 101 ) × π/180

= 10.788229172 radians

Approximately = 10.8radians

2. How far does Karen move in 101 minutes?

We are to calculate the distance in question 2.

We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.

Therefore,

2 × π × 2.19m = 137.60175823

[6.12 degrees per minute × 101 minutes × 137.60175823]/360

= 236.26221888 meters

Approximately = 236.3 meters

Answer:

The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)

Step-by-step explanation:

Translations

A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).

We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:

(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)

If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).

If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).

The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)

Answer:

55

Step-by-step explanation:

10% of 550 is 55

Answer:

Step-by-step explanation:

Answer:

Choose which type of description is used in each example.

Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune.

✔ example

Saturn has fifty-three moons, more than any other planet in the solar system.

✔ characteristic

Planets do not give off light themselves; instead, light is reflected off of them.

✔ feature

Step-by-step explanation:

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

Rise over Run

Step-by-step explanation:

You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.

Hope this Helps!

Answer:

C = 133.33°

Step-by-step explanation:

Apply the Law of Cosines to find angle C:

[tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]

Where,

a = 8.5 cm

b = 4.1 cm

c = 11.7 cm

Plug in the values

[tex] Cos(C) = \frac{8.5^2 + 4.1^2 - 11.7^2}{2*8.5*4.1} [/tex]

[tex] Cos(C) = \frac{-47.83}{69.7} [/tex]

[tex] Cos(C) = -0.6862 [/tex]

[tex] C = Cos^{-1}(-0.6862) [/tex]

C = 133.33°

Answer:

C

Step-by-step explanation:

Key skills needed: Inequalities

1) We are given that inequality.

The inequality is b ≤ 11 (any variable would work instead of "b")

--> It is "≤" and not "<" since there is a filled/shaded dot on the 11.

2) This means we solve all the ones with less than or equal to symbols.

A does not have a ≤ symbol, so A cannot be it

3) Solve each one:

B --> -k [tex]\leq[/tex] 11

Divide by -1 on both sides and get [tex]k \geq -11[/tex]  B cannot be it

C --> 44 ≥ b + 33

Subtract 33 from both sides and get b [tex]\leq[/tex] 11

Therefore C is your answer       C can be it!!

If you want to check D --> x -11 ≤ 11

Add 11 to both sides and get x ≤ 22 D cannot be it

Hope you understood and have a nice day!!

Answer:

C. 44 ≥ b+33

Step-by-step explanation:

Lets think about this. It really doesn't matter what the variable is also, we should immediately disregard A because its not a greater than or equal to sign. You should also, you how I can to this conclusion was that, SHADED circle in are always greater than or equal to or less than or equal to. EMPTY circle means greater than or less than. Therefore, you have already taken down A. B on the other hand would've worked if not for the fact that the variable is a negative. D on the other hand if you do the math of what the number line would be 11 -11=0 while it is less than or equal to 11. To get 11 or anything else other than below 0 you would fall off the number line. Therefore, because 44≥b+33 would be 44≥11+33 or anything less would work.

C. 44 ≥ b + 33

Answer:

7y-7x-2

Step-by-step explanation:

9y+3-4x-2y-3x-5

7y-7x-2

that a lot of points thx :)

you just add the numbers of the like terms togehter

Answer:

7y-2-7x

Step-by-step explanation:

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

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

By the Central Limit Theorem, we have that:

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

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

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

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

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

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

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

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

C

Step-by-step explanation:

P-25

Answer:

All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:

given the second expression:

x - y = 1

We'll replace y with it's value in the first expression:

x - (y) = 1

x - (5 - 2x) = 1

Now we can expand the resulting equation:

x - 5 + 2x = 1

So neither of the answers provided are correct.

You can then solve for x:

x - 5 + 2x = 1

x - 5 + 5 + 2x = 1 + 5

x + 2x = 6

3x = 6

3x/3 = 6/3

x = 2

After that, you can find y by plugging x into either of the two original equations:

y = 5 - 2x

y = 5 - 2(2)

y = 5 - 4

y = 1

Answer:

3/4

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyy

Answer:

3/4 (find the GCF, greatest common factor, and divide both sides [12])

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

y= 5x + 4

Step-by-step explanation:

slope ontercept

Answer:

I think its 5x + 4 if I did it right

Answer:

(7x+3) (x-1)

hope this helps!!:)

Step-by-step explanation:

Answer:

The greatest number of rows is 10.

To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.

So, the greatest number of rows you can have is 10.

What was the answer

Answer:D

Step-by-step explanation: