Joseph bought a 2 pound bag of coffee for $14.95. What is the price per ounce?

Answer:

ूेऐेुेुलौयकौइकौलएेःरःरइौईौकौथटइिौइिौइोौकइेईौकेञौञे

The sequence is 5,9,13,17,...

Determine the common difference for the sequance

Answer: y = -1/2x+15/2

Step-by-step explanation:

Hope this helps!

Answer:

23 gallons per hour

Step-by-step explanation:

5 3/4 * 4 = 23

times the amount drank in 1/4 hours by 4 to get the amount drank in 1 hour

(1/4 * 4 = 1 hour (example))

Answer:

x=4

Step-by-step explanation:

4x+1=17

4x=16

x=4

6x-3=21

6x=24

x=4

because GL and GT are congruent.

LO and OT are congruent.

Answer:

53 minutes

Step-by-step explanation:

Let x be the time required for a full video upload.  This would have the unit of (minutes/full upload).  Since the upload rate is constant, we can write:

(0.17)*(x) = 9 minutes

This equation states that 17% of the full upload time is 9 minutes.

Solve for x:

x = (9 minutes)/(0.17)

x = 52.9 minutes or 53 minutes with 2 sig figs

The number in the problem, where the sum of a number and 2 is 9, is 7. When substituted back into the equation, 7 + 2 = 9 holds true, confirming the solution.

In the given problem, we are told that the sum of a number (represented by 'x') and 2 is equal to 9. To solve this problem, we isolate the variable 'x' by subtracting 2 from both sides of the equation.

This yields the equation x + 2 - 2 = 9 - 2, which simplifies to x = 7. Therefore, the number that satisfies the given condition is 7.

In other words, when we substitute 7 into the original equation, we have 7 + 2 = 9, which holds true. This confirms that 7 is indeed the correct solution to the problem.

The equation x + 2 = 9 describes the relationship between the number and the given condition. By solving the equation, we find that the unknown number is 7, and when we substitute this value back into the equation, it satisfies the given conditions.

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Option A is the correct answer. The expression is (x+3)(x+7).

The given equation is x²+10x+21

we have to find the roots of the equation

x²+10x+21 =0

x²+3x+7x+21

x(x+3)+7(x+3)

(x+3),(x+7)

Now, we need to remember to factorize the given expression, x²+10x+21, and have to choose two numbers when you add them you get "10" and when you multiply them you get "21".

These numbers are:

7 and 3

Because:

7+3=10

7*3=21

Therefore, you get that the factorization of the expression  is the following:

(x+3)(x+7)

We can conclude that this factorization matches the first option.

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A 55-gallon fish tank is a rectangular aquarium that measures approximately 48 inches in length, 13 inches in width, and 21 inches in height

A 55 gallon fish tank is a rectangular aquarium that holds approximately 55 US gallons (or 208 liters) of water. It typically measures 48 inches (122 cm) in length, 13 inches (33 cm) in width, and 21 inches (53 cm) in height.

The actual dimensions of a 55 gallon fish tank may vary slightly depending on the manufacturer. However, most tanks of this size have a similar shape and capacity.

Therefore, A 55-gallon fish tank is a rectangular aquarium with dimensions 45 inches × 13inches × 21 inches

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If random sample of 1000 applicants, 392 applicants were accepted, then (c) interval is from 36.2% to 42.2%. Since value of 42% lies in interval, Bridgeton's claimed acceptance rate is accurate.

The "Confidence-Interval" is defined as "range-of-values" which contain the "true-value" of a population parameter with a certain probability.

To calculate the 95% confidence interval, we use the formula:

⇒ CI = p ± z × √((p(1-p))/n),

where : p = sample proportion (accepted applicants / total applicants)

⇒ z is = z-score associated with desired "level-of-confidence" (95% corresponds to z = 1.96)

⇒ n is = sample size = (1,000),

First, we calculate the "sample-proportion" (p) :

⇒ p = 392 / 1000 = 0.392,

Substituting the values,

We get,

⇒ CI = 0.392 ± 1.96 × √((0.392(1-0.392))/1000),

⇒ 0.392 ± 0.030,

So, the 95% confidence interval for the proportion of accepted applicants at Bridgeton University is (0.362, 0.422) = 36.2% to 42.2%.

Next, To evaluate whether Bridgeton's claim of accepting 42% of applicants seems accurate, we can check if the claim falls within the confidence interval.

The claim of 42% falls within the 95% confidence interval of (0.362, 0.422). So, acceptance rate claimed by Bridgeton is accurate.

Therefore, the correct option is (c).

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The given question is incomplete, the complete question is

Bridgeton University claims to accept 42% of applicants. In a random sample of 1,000 Bridgeton University applicants, 392 were accepted. Calculate the 95% confidence interval and evaluate whether Bridgeton's claim seems accurate.

(a) The interval is from 36.7% to 41.7%. Since the value of 42% does not lie in the interval, Bridgeton's claimed acceptance rate does not seem accurate.

(b) The interval is from 36.2% to 42.2%. Since almost 40% of the sample was accepted, Bridgeton's claimed acceptance rate seems accurate.

(c) The interval is from 36.2% to 42.2%. Since the value of 42% lies in the interval, Bridgeton's claimed acceptance rate seems accurate.

(d) The interval is from 36.7% to 41.7%. Since only 40% of the sample was accepted, Bridgeton's claimed acceptance rate does not seem accurate.

Answer:

B

Step-by-step explanation:

Answer:

\(x + 2 = - 3x\)

\( - 4x = 2\)

\(x = - \frac{1}{2} \)

\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)

So the lines intersect at (-1/2, 1 1/2), or

(-.5, 1.5).

Answer: The percent gain was 25%.

Step-by-step explanation:

Given, Cost price of lot = $1,200

Selling price of lot = $1,500

The percent gain = \(\dfrac{\text{selling price- cost price}}{\text{cost price}}\times100\)

⇒ Percent gain =\(\dfrac{1500-1200}{1200}\times100\%\)

\(\Rightarrow\text{ Percent gain}=\dfrac{300}{1200}\times100\%\\\\\Rightarrow\text{ Percent gain}=\dfrac{1}{4}\times100\%\\\\\Rightarrow\text{ Percent gain}=25\%\)

Hence, the percent gain was 25% based on his purchase.

the answer is 9

you do the step by step for the equation. you figure out what the formula is.

Answer: You add 31/8 to 2 1/8 and you will get 6.

The exact value of tan[π/4 − cos⁻¹(7/25)] is 31/7.

We have to find the exact value of the expression.

tan[π/4 − cos⁻¹(7/25)]tan[π/4 − cos⁻¹(7/25)]

is an angle where we will use the following identities given below in order to solve the question.

Inverse cosine identity

cos⁻¹ x = π/2 − sin⁻¹ x , -1 ≤ x ≤ 1

Therefore, cos⁻¹(7/25) = π/2 − sin⁻¹(24/25)

Next, we will solve π/4 − [π/2 − sin⁻¹(24/25)]π/4 − [π/2 − sin⁻¹(24/25)]

can be written as (π/4) + sin⁻¹(24/25).

Thus,tan[π/4 − cos⁻¹(7/25)] = tan[(π/4) + sin⁻¹(24/25)]

Now, we have to use the trigonometric identity

tan(x + y) = (tan x + tan y) / (1 - tan x tan y)

where, x = π/4 and y = sin⁻¹(24/25).

We know the values of tan(π/4) and tan(sin⁻¹(24/25)).tan(sin⁻¹(24/25)) = 24/7

Therefore,tan[π/4 − cos⁻¹(7/25)] = tan[(π/4) + sin⁻¹(24/25)]

(tan (π/4) + tan (sin⁻¹(24/25))) / [1 - tan (π/4)tan (sin⁻¹(24/25))]

Using the values,

tan[π/4 − cos⁻¹(7/25)] = (1 + (24/7)) / [1 - (1 * 24/7)]

tan[π/4 − cos⁻¹(7/25)] = 31/7

Hence, the exact value of tan[π/4 − cos⁻¹(7/25)] is 31/7.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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Answer:pqo &uty

Step-by-step explanation:

Answer:  

PQO and STQ

Step-by-step explanation:

The two angles are said to be supplementary angles when they add up to 180

hope this helps!  

have a nice day

a)The organization can expect to receive a total of 210 donations during the event.

b)Total expected amount $17,850.

a) To answer this question, we need to first find the expected number of online donations and the expected number of cash donations.

The total rate of donations is 7 donations per hour, so the rate of online donations is 0.7*7=4.9 donations per hour and the rate of cash donations is 0.3*7=2.1 donations per hour.

Using the Poisson distribution formula, we can find the expected number of online donations:

Expected number of online donations = (rate of online donations)*(duration of event in hours) = 4.9*30 = 147

Similarly, we can find the expected number of cash donations:

Expected number of cash donations = (rate of cash donations)*(duration of event in hours) = 2.1*30 = 63

Therefore, the organization can expect to receive a total of 147 + 63 = 210 donations during the event.

b) To find the expected amount of money the event will bring in, we need to first find the expected amount of money from online donations and the expected amount of money from cash donations.

The expected amount of money from online donations is simply the expected number of online donations multiplied by the amount of each donation, which is $100. So:

Expected amount of money from online donations = (expected number of online donations)*(amount of each online donation) = 147*$100 = $14,700

To find the expected amount of money from cash donations, we need to first find the probability of each cash donation being $25 or $75. Since the two possibilities are equally likely, the probability of a cash donation being $25 is 0.5 and the probability of a cash donation being $75 is also 0.5.

Using this information, we can find the expected amount of money from cash donations:

Expected amount of money from cash donations = (expected number of cash donations)*(expected amount of each cash donation) = 63*((0.5*$25) + (0.5*$75)) = 63*$50 = $3,150

Therefore, the event is expected to bring in a total of $14,700 + $3,150 = $17,850.
a) To calculate the expected number of donations during the 30-hour Dance Marathon, you can multiply the rate of donations per hour (7) by the total number of hours (30).

Expected donations = 7 donations/hour * 30 hours = 210 donations

b) To calculate the expected amount of money raised during the event, first determine the number of online and cash donations. Since 70% of donations are made online:

Online donations = 210 donations * 0.7 = 147 donations
Cash donations = 210 donations * 0.3 = 63 donations

Next, calculate the expected amount of money from online and cash donations. Since each online donation is $100:

Online donation total = 147 donations * $100 = $14,700

For cash donations, there is an equal probability of receiving $25 or $75. The expected value for a cash donation is the average:

Expected value of cash donation = ($25 + $75) / 2 = $50

Now, calculate the total expected amount from cash donations:

Cash donation total = 63 donations * $50 = $3,150

Finally, add the online and cash donation totals to get the expected amount raised:

Total expected amount = $14,700 + $3,150 = $17,850

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Answer:

C. (x + 4, y - 6)

Step-by-step explanation:

Going up means to add.

When you go up you are in the positives.

When you go left or down on a graph you are in the negatives.

The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Step-by-step explanation:

First, we need to find out the total number of people who will be attending the party.

There are 23 guests, plus 7 family members, so there are 23 + 7 = 30 people attending.

Each person will get 2 cupcakes, so:

30 * 2 = 60 cupcakes

Therefore, Mom likely needs to make 60 cupcakes.

60

Step-by-step explanation:

first 23+7=30

each needs=2

so take 30×2=60

Let the smaller angle be

The larger angle is 4 times bigger than the smaller angle means

Concept:

The sum of two or more angles on a straight line is always 180°

Therefore,

By substituting the value of y=4x in the equation above, we will have

substitute the value of x= 36° in y=4x to find the value of the bigger angle

Hence,

The larger angle is =144 °

OPTION D IS THE CORRECT ANSWER

The length of the line segment AB is 11/2 mm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other two sides in the same ratio.

Therefore, AC/AB = EC/ED.

22/AB = 44/11.

2/AB = 4/11.

4AB = 22.

AB = 11/2.

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Answer:

slope=-3, y-intercept=(0,4), x-intercept= (4/3,0)

Step-by-step explanation:

Answer:

Slope is -2

The initial equation would be

y= -2x-20

Start from -20 on the Y axis since that is y- intercept

Now go up 2 and left 1.

Keep repeating that until graph is either filled or done

Refer to image

The mean of the given set of data will be 8.3.

Given is the following data -

3, 5, 8, 11, 11, 12

We have -

3, 5, 8, 11, 11, 12

We can calculate the mean as -

m = (3 + 5 + 11 + 8 + 11 + 12)/6

m = 50/6

m = 8.3

Therefore, the mean of the given set of data will be 8.3.

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Using law of cosines, the group that is farther from the locker room is; Group B

The law of cosines gives that;

c² = a² + b² - 2ab cos C

Now, for group A, we can use law of cosine to find their current distance from the locker room as;

a² = 4.6² + 2.1² - 2(4.6*2.1)*cos 40°

a² = 21.16 + 4.41 - 14.8

a = √10.77

a = 3.28 miles

Similarly, for Group B, we have;

b² = 4.6² + 2.1² - 2(4.6*2.1)*cos 50°

b² = 21.16 + 4.41 - 12.42

b = √13.15

b = 3.63 miles

This means that group B is farther from the locker room

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