Lauren bought 4 bags of popcorn for $3. What is the unit rate per bag of popcorn?

Answer:

i believe it's 48

Step-by-step explanation:

7x^2 - 3x - 6

7(3)^2 - 3(3) - 6

63 - 9 - 6

54 - 6

48

Answer:

1700 units squared

Step-by-step explanation:

Answer:

ITS 3000

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the third year value of the deposit, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount of money after t years, P is the principal (the initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

For the first year, we have:

P = $500

r = 0.05

n = 1 (compounded annually)

t = 1

So, the amount after the first year is:

A1 = $500(1 + 0.05/1)^(1*1) = $525

For the second year, we have:

P = $525 (the amount after the first year)

r = 0.06

n = 1

t = 1

So, the amount after the second year is:

A2 = $525(1 + 0.06/1)^(1*1) = $556.50

For the third year, we have:

P = $556.50 (the amount after the second year)

r = 0.07

n = 1

t = 1

So, the amount after the third year is:

A3 = $556.50(1 + 0.07/1)^(1*1) = $594.64

Therefore, the third year value of the deposit is $594.64.

Answer:

Step-by-step explanation:

You would get the probability of double sixes as:

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

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Answer:

D. 7/12

Step-by-step explanation:

⅓ + ¼

multiply to find common denominator

4/12 + 3/12

Step-by-step explanation:

WX is parallel to YZ and WZ is also parallel to XY

Option C,D and E are correct.

Explanation:

In Euclidean geometry,a parallelogram is a simple quadrilateral with two pairs of parallel sides.The opposite or facing sides of a parallelogram are of equa length and the opposite angles of a parallelogram are of equal measure.

Hope this helps...

Good luck on your assignment..

Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).

The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.

Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.

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Answer:

Step-by-step explanation:

46

Answer:

463 rounded

Step-by-step explanation:

4/3 times pi times r times r times r.

4.8 x 4.8 x  4.8 = 110.592 x 3.14 x 4/3 = 463

Volume of sphere is 463.01 \(cm^{3}\).

The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.

Volume of sphere = \(\frac{4}{3}\pi r^{3}\)

Given

Radius of sphere r = 4.8 cm

Volume of sphere

V = \(\frac{4}{3}\pi r^{3}\)

V = \(\frac{4}{3} \pi (4.8)^{3}\)

V = 463.01 \(cm^{3}\)

Volume of sphere is 463.01 \(cm^{3}\).

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Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

Answer:

9

Step-by-step explanation:

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

The accompanying figure is made of a triangle and a rectangle shape. The sides of the triangle are all a similar length and the aspect of the rectangle shape is 5 cm by 23 cm.

The summation of the outer length of the shape is known as the perimeter. Then we have

P = 23 + 5 + 23 + 5 + 5

P = 61 cm

The perimeter of the combination of triangle and rectangle shapes will be 61 centimeters.

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Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

We know that

• There are 80 tiles.

• She arranges the tiles in 8 equal rows.

• Each row has an equal number of white and blue.

If there are an equal number of white and blue, then we can deduct that there are 40 blue tiles in total.

Now, we divide those 40 blue tiles by 8 rows.

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

Step-by-step explanation:

I hope this answer is helpful ):

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Answer:

x=90 possibly

Step-by-step explanation:

3x all at 30 degrees. but not posative so please check elsewhere.

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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The relationships are illustrations of proportional equations

Machine D could pack 605 more candies than machine C in 11 minutes

The equation of machine C is represented by:

\(y = 75x\)

The equation of the graph of machine D is represented by:

\(y = 130x\)

Substitute 11 for x in both equations

\(y = 75 * 11 = 825\)

\(y = 130 * 11 = 1430\)

Calculate the difference (d)

\(d =1430 - 825\)

\(d =605\)

Hence, Machine D could pack 605 more candies than machine C in 11 minutes

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Answer:

P(S or T) = 3/4

Step-by-step explanation:

Answer:

\(\boxed{\textrm{B)}\qquad y>4}.\)

Step-by-step explanation:

We start by subtracting \(1\) from both sides of the second inequality:

\(2x > 5 \iff 2x - 1 > 5 - 1 \iff 2x - 1 > 4.\)

Therefore, we conclude that:

\(y > 2x - 1 > 4 \implies y > 4.\)

Therefore, every point that satisfies the system has a \(y\)-coordinate greater than \(4\).

The domain of each expression is given as follows:

1. All real values except y = 0 and y = 2.

2. All real values.

3. All real values except y = 0 and y = -7.

The domain of an expression is composed by the set of all the possible input values that the expression can assume.

For an expression that is a fraction, the denominator cannot be zero, hence:

For item 2, the function is a multiplication, which has no restrictions on the domain, and thus the domain is composed by all real values.

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

a) The rejection region for this one-tailed hypothesis test is z ? z > 2.33.

The test statistic value is z = 2.76.

Therefore, the conclusion is that we reject H0. The data suggests that the difference in average tension bond strengths is greater than 0.

For this one-tailed hypothesis test, we must reject the null hypothesis (H0: m1 - m2 = 0) if the test statistic is greater than 2.33. Our test statistic value is 2.76, which is greater than 2.33, so we reject H0. This indicates that the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

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Answer: The answer is D: 6

Answer:

fhgjhkjl;

Step-by-step explanation:

free points

its the third one

The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.