5.7÷4 in standard algorithm
​

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Given:

Number of girls = 30

Number of boys = 20

The ratio of a to b is expressed as a:b

The ratio of boys to girls is given as,

Answer: The ratio of boys to girls is 2:3.

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

We can use the normal approximation to the binomial distribution to find the interval that contains approximately 95.44 percent of all the possible sample proportions when p=.5 and n=250.

The mean of the distribution of sample proportions is equal to the population proportion (p), which is 0.5 in this case. The standard deviation of the distribution is given by:

σ = sqrt(p(1-p) / n) = sqrt (0.5 * 0.5 / 250) = sqrt (0.0002) = 0.014

Using a z-score of 1.96 to correspond to a confidence level of 95.44 percent (since the standard normal distribution has a proportion of approximately 0.9544 within 1.96 standard deviations of the mean), we find the lower and upper bounds of the interval:

lower bound = p - zσ = 0.5 - 1.96 * 0.014 = 0.471

upper bound = p + zσ = 0.5 + 1.96 * 0.014 = 0.529

Therefore, the interval that contains approximately 95.44 percent of all the possible sample proportions is (0.471, 0.529).

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Answer:

y= -6x +14

y -y1 = m(x-x1)

Step-by-step explanation:

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

What is banquet?

A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.

To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.

Let's define the variables:

Let x be the number of adult guests.

Let y be the number of student guests.

Now, let's write the system of inequalities representing the constraints of the situation:

The total number of guests cannot exceed 125: x + y ≤ 125

The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375

To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.

The boundary lines of each inequality are:

x + y = 125 (the line that connects the points (0, 125) and (125, 0))

45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))

To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.

The resulting graph should look like this:

The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.

We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.

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Answer:

1760

Step-by-step explanation:

12 inches in a foot so 5280x12 is how much inches in a mile

63360 inches in a mile

63360 divided by 36 inches

1760

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, \(X\sim N(\$40,000,\ \$5,000^{2})\)

Compute the value of P (34000 < X < 46000) as follows:

\(P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699\)

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

The answer of the given division is, 1/64.

What is power of number?

A number's power indicates how many times it should be multiplied. Other names for powers include exponents and indices. Examples include "8 to the power 2," "8 to the second power," and "8 squared."

If the power is positive, add that many times to the original number. The reciprocal of the number should be multiplied by itself that many times if the power is negative. When the power is zero, the outcome is always 1.

Given:  2^2 ÷ 8^2

We have to find the answer of this division.

Here,

2^2 = 2 x 2 = 4

2^8 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Now

4 / 256 = 1 / 64

Hence, the answer of the given division is, 1/64.

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Answer:

Look below

Step-by-step explanation:

\(4x-3y=18\\-3y=18-4x\\y=4/3x-6\)

Answer:

Slope: 4/3

y-intercept: -6

\(x^2 + 4x + (\frac{4}{2})^2 = x^2 + 4x + 4\)

Answer is 4

A saleswoman earns 3% commission on all the merchandise that she sells. Last month she sold 8000 worth of merchandise. the commission earned last month is  $240

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

3%

= 3 percent

= 3 / 100

= 0.03

The factor 0.71 is added to 1 and multiplied by revenue generated from sales to get the amount earned last month

the addition

= 1 + 0.03.

= 1.03

the multiplication

= 1.03 * 8000

= 8240

The commission earned last month is

= 8240 - 8000

= 240

The commission earned last month = $240

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Answer:

An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.

See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?

July 10 book Science up55 down8

AA BB

CC DD

Step-by-step explanation:

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

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Answer:

x=38 The angle type is alternate exterior

Step-by-step explanation:

Answer:

alternate angle pair are they

Step-by-step explanation:

# Jerry Don is here#

Step-by-step explanation:

The first one is y= 3x - 4, so for this one y would be the answer for that one.

Now for the other one y is still the answer but now you have to find the x you should find the x first and then go for the y

Hope that gives you a cule of what to do(I had forgot sorry :<

Answer:

300 pound you know because 500 -200

ez

Step-by-step explanation:

In general, the compound interest formula is

Therefore, in our case,

Thus,

a) Thus, the exact amount is 45000/(1.05)^24 dollars.

b) Rounding to two decimal places,

The rounded answer is $13953.06

A) (3, -5)

B) Reflection over x-axis and y-axis

C) (1, -1)

D) Translate 2 units left, 4 units up

Answer:

(P+20)(p-2)

Step-by-step explanation:

p^2+18p-40

P^2+(20-2)p-40

P^2+20p-2p-40

P(p+20)-2(p+20)

(P+20)(p-2)

Answer:

Juan runs 7/10 of a mile every hour

Step-by-step explanation:

First find out how much he ran every 1/7 of an hour

2/5 x 1/4 = 4/7 x 1/4

1/10 = 1/7

1/10 x 7 = 1/7 x 7

7/10 = 1

It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.

According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.

For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.

Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.

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Answer:

1/6

Step-by-step explanation:

Step-by-step explanation:

ln((sin(x))^3)'

Chen Lu

= (((sin(x))^3)' / (sin(x))^3

Chen Lu

=(3sin²(x)cos(x)/ (sin(x))^3

= 3cos(x)/sin(x)

=3cot(x)

The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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