Pls help!
1.) Find two ratios that are equivalent to 15/60
Possible Answers: A.) 15/20 and 30/120 B.) 20/5 and 120/30 C.) 5/20 and 45/120
D.) 5/20 and 30/120

2.) Simplify to tell whether the two ratios form a proportion.
24/48 and 12/18
Possible Answers: A.) Yes B.) No

3.) A factory can package 112 games in 14 minutes. How many games can he package per minute?
Possible Answers: A.) 28 B.) 8 C.) 98 D.) 16

4.) An infant drinks about 26 oz. of milk per day. About how many qt. of milk does the baby drink in 4 weeks?
Possible Answers: A.) 45.5 qt B.) 30 qt C.) 6.5 qt D.) 22.75 qt

5.) Solve the proportion. k/10 = 30/60
Possible Answers: A.) k = 300 B.) k = 5 C.) k = 20 D.) k = 6

Answer:

40%

Step-by-step explanation:

20-15 = 5, 2 students passed and did the assignment, 0.4 = 40%

The maximal amount of medically unsupervised weight loss that an adult should aim for in one week is generally 1-2 pounds (0.5-1 kg). This is because losing weight too quickly can be harmful to your health and lead to a number of negative side effects, such as muscle loss, fatigue, dehydration, and gallstones.

It's important to note that the amount of weight an individual can lose in a week can vary depending on factors such as their starting weight, body composition, and overall health. In some cases, a doctor or other medical professional may recommend a faster rate of weight loss under close supervision, but this is generally reserved for people who are severely overweight or have medical conditions that require rapid weight loss.

Ultimately, it's important to approach weight loss in a healthy and sustainable way, with a focus on making long-term lifestyle changes rather than relying on quick fixes or fad diets. A balanced diet, regular exercise, and a consistent sleep schedule are all important components of a healthy weight loss plan.

for such more question on  weight

https://brainly.com/question/17562784

#SPJ11

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = \(\sqrt{2025}\) = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

The first function represents the graph of a function provided in the picture option first is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

\(\rm f\left(x\right)\ =\ -\sqrt{\left(x-3\right)}\ +\ 2\)

x - 3 ≥ 0

x ≥ 3

Plug x = 3

f(x) = 2

Thus, the first function represents the graph of a function provided in the picture option first is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

An equation to represent A, the area in square feet, as a function of w, the width in feet is A = 120W -2W²

According to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.

Substitute into the perimeter of the rectangle will give:

120 = L + 2W

Area = LW

We know that the area of a rectangle is l × w

When w =10, length = 120 - 20 = 100, area = 100 x 10 = 1000

When w = 20, length = 120 - 40 = 80,  area =  80 x 20  = 1600

When w = 40, length = 120 - 80 = 40.  area = 40 x 40 = 1600.

So, the completed table will be

Width            Length          Area

10                    100              1000

20                    80              1600

40                    40              1600  

w                  120 - 2w        (120 - 2w) w

In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60

On substituting, we have;

A = LW = (120 - 2W) W

L = 120 - 2W,

On simplification, we have

A = 120W -2W²

For more questions on area

https://brainly.com/question/4358777

#SPJ4

Answer:

50  (hope this helps, have a good day)

Step-by-step explanation:

just divide The area divided by 2

The factors of 20 are 1,2,4,5,10,20

From the list 2,4,5,10

The factors of 21 are 1,3,7,21.

From thwe list

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

The inequality 6x > 2y-5 is rearranged into slope-intercept form y < 3x + 2.5, which requires a dashed boundary line with a slope of 3 and a y-intercept of 2.5.

What type of boundary line would be used and where to shade

6x > 2y-5​?

To arrange the inequality 6x > 2y - 5 into slope-intercept form, we first isolate y on one side of the inequality:

2y - 5 < 6x

2y < 6x + 5

y < 3x + 2.5

So the slope-intercept form of the inequality is y < 3x + 2.5.

To graph this inequality, we would use a dashed boundary line since the inequality is strict (y < rather than y ≤). To find the slope and y-intercept of the boundary line, we can compare the inequality to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

In this case, we can see that the slope of the boundary line is 3, and the y-intercept is 2.5. So we would draw a dashed line with a slope of 3 and a y-intercept of 2.5.

To determine which side of the boundary line to shade, we can pick a point on one side of the line and see if it satisfies the inequality. One convenient point to use is the origin (0, 0).

6(0) > 2(0) - 5

0 > -5

Since 0 is indeed greater than -5, the point (0, 0) satisfies the inequality. Therefore, we want to shade the side of the boundary line that contains the origin. In other words, we shade the area below the dashed line y = 3x + 2.5.

To learn more about slope-intercept form, visit: https://brainly.com/question/30104695

#SPJ9

Answer:

138

Step-by-step explanation:

According to PEMDAS (explains which operation you do first)

(Parentheses

Exponents

Multiplication or Division

Addition or Subtraction),

1. multiplication comes before addition

2. Even if it was 89+7x7, it would still be 7x7 first.

3. 7x7=49. Add it to 89 and you get 138

Answer:

great how much to get your car washed

Step-by-step explanation:

Answer:

Step-by-step explanation:

for money

Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

Read more about quartile here:https://brainly.com/question/28277179

#SPJ11

Answer:

4 feet tall

Step-by-step explanation:

First find the unit rate of how close she is to being completed / the height of the tower

2.5/5 =.5

Next, multiply .5x8 = 4 feet fall when she is done

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

Learn more about perimeter on

https://brainly.com/question/19819849

#SPJ1

Answer:

We get a sample mean of 675.78.

Step-by-step explanation:

To calculate the sample mean, we need to sum up all the measurements and divide by the total number of measurements:

Sample mean = (684 + 684.4 + 677.1 + 680.6 + 671.5 + 657.1) / 6 Sample mean = 4054.7 / 6 Sample mean = 675.78

Rounding this to two decimal places, we get a sample mean of 675.78.

The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ1

Answer:

a = -32

Step-by-step explanation:

-1/4a - 4 =4

Add 4 to each side

-1/4a - 4+4 =4+4

-1/4a = 8

Multiply each side by -4 to isolate a

-1/4 a * -4 = 8 *-4

a = -32

Michael drinks 33.5 fl oz more fluid ounces than Lydia.

Given in question,

30 ml = 1 fl oz

  1 ml = 1/30 fl oz

1 bottle = 335 milliliters

No. of bottles of water Michael drank = 6

                                                              = 6 * 335 milliliters

                                                              = 2010 milliliters

                                                              = 2010/30 fl oz

                                                              = 67 fl oz

No. of bottles of water Lydia drank = 3

                                                           = 3 * 335 milliliters

                                                           = 1005 milliliters

                                                           = 1005/30 fl oz

                                                           = 33.5 fl oz

Therefore, 67 - 33.5 = 33.5

Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.

To learn more about fluid ounces here:

https://brainly.com/question/8500307

#SPJ1

No

Because they all are different in taste and smell

True!

Explanation: Apples, potatoes and onions will all taste the same if somehow you were to block your sense of smell (plug your nose).

Answer:

\(3^{2-n}\)

Step-by-step explanation:

Given expression in the picture is,

\(\frac{3^n}{9^{n-1}}\)

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

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

= \(3^n\times 3^{-2(n-1)}\) [Since, \(\frac{a^n}{a^m}=a^n\times a^{-m}\)]

= \(3^{n-2(n-1)}\) [Since, \(a^m\times a^n=a^{m+n}\)]

= \(3^{n-2n+2}\)

= \(3^{2-n}\)

Therefore, answer is \(3^{2-n}\).

The matrix of the relation r={(1,2),(2,3),(3,4),(4,5)} on the set x={1, 2, 3, 4, 5}; ordering of x:1,2,3,4,5 is as follows.

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

A relation is a set of ordered pairs.

The matrix of a relation is constructed by using its ordered pairs with their respective values as its entries, and its rows and columns by its domain and range, respectively.

So, the relation r is given as{(1,2),(2,3),(3,4),(4,5)}

The elements in the rows of the matrix correspond to the elements of x, while the elements in the columns of the matrix correspond to the elements of x as well, in that order.

So, the matrix of r on x can be written as:

\($$\begin{pmatrix} 0 & 1 & 0 & 0 & 0 \\ 0 & 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 & 0 \end{pmatrix}$$\)

To know more about the "Matrix": https://brainly.com/question/11989522

#SPJ11

The converted degree measures to radians are:

Question 6

The answer is not among the options provided.

To convert degree measures to radians, we use the conversion factor that 180 degrees is equal to π radians. Let's convert the given degree measures to radians:

To convert -670° to radians, we divide by 180 and multiply by π:

-670° * (π/180) = -67π/18 radians

67T means 67 times π, so the radian measure is 67π radians.

To convert 9 317° to radians:

9 317° * (π/180) = 9317π/180 radians

To convert 18 67T to radians:

18 67T * (π/180) = 1867π/180 radians

To convert 36 67T to radians:

36 67T * (π/180) = 3667π/180 radians

To convert -18° to radians:

-18° * (π/180) = -π/10 radians

To convert radian measures to degrees, we use the conversion factor that π radians is equal to 180 degrees. Let's convert the given radian measure to degrees:

8T 5:

To convert 8T 5 to degrees, we multiply by 180 and divide by π:

8T 5 * (180/π) ≈ 259.34 degrees (rounded to the nearest hundredth)

Therefore, the radian measure 8T 5 is approximately equal to 259.34 degrees.

The answer for Question 6 is not among the options provided.

Learn more about the conversion between degrees and radians

brainly.com/question/30460685

#SPJ11

Mathematics is important for everyday life for several reasons. Budgeting, Cooking and baking, Time management.

Here are three real examples on how it is used:

Budgeting: Math is essential for managing personal finances, such as creating a budget, tracking expenses, and planning for the future. For instance, using math, we can calculate the amount of money we need to set aside for bills, rent, groceries, and other expenses. We can also use math to determine how much money we need to save each month to reach our long-term financial goals, such as buying a house, paying for college, or retiring comfortably.

Cooking and baking: Math is an essential part of cooking and baking. When we cook or bake, we need to use math to measure ingredients accurately, adjust recipe quantities based on the number of servings, and calculate cooking times and temperatures. For example, we may need to double or halve a recipe to serve a larger or smaller group of people, and we may need to convert units of measurement, such as ounces to grams or Fahrenheit to Celsius.

Time management: Math is also important for managing time effectively. We use math to calculate time differences, such as when scheduling appointments or meetings across different time zones. We can also use math to estimate how long tasks will take, such as how much time we need to complete a project, commute to work, or run errands. Using math, we can prioritize tasks based on their level of urgency and importance, and allocate time accordingly.

Learn more about Budgeting here

https://brainly.com/question/6663636

#SPJ11

Answer:

D

Step-by-step explanation:

Hope this helped! :D

Answer:

114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Step-by-step explanation:

for the first one the area of a trapezoid is \(\frac{1}{2} h(b_{1} +b_{2})\)

so

first find the height of the triangle

8^2 + h^2 = 10^2

64 + h^2 = 100

h^2 = 36

h = 6

so

the height is 6

now plug it in

\(\frac{1}{2} * 6 (25 + 13)\)

\(\frac{1}{2} * 6(38)\)

114 cm is the first answer

for the second one you can add all of them together and set them equal to 27

x - 1 + 2x - 4 + 3x - 4 = 27

6x - 9 = 27

6x = 36

x = 6

that is the second answer

it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Answer:

1  99/100

Step-by-step explanation:

( 1/5 + 1/2)^2 +3/10 times 5

(2/10+ 5/10)^2 + 15/10

(7/10) ^2 + 15/10

7/10 x 7/10 + 15/10

49/100 +150/100

 199/100

1  99/100

I don’t know a simpler mixed fraction

The monthly payment the student needs to make is approximately R9,299.91.

To determine the monthly payment the student needs to make, we can use the concept of present value.

The student plans to make monthly payments starting in 4 years' time and continuing until 3 years prior to retirement, which is a total of 44 - 3 - 4 = 37 years of payments.

The insurance company charges a fee of 8% of each payment for the first 15 years and 5% of each payment thereafter. The interest rates guaranteed by the company are 18% per annum during the payment period and 14% per annum during the final 3 years.

PV = P * (1 - (1 + r)^(-n)) / r

For the first 15 years:

PV1 = (P * (1 - (1 + 0.18/12)^(-15*12))) / (0.18/12)

For the remaining 22 years:

PV2 = (P * (1 - (1 + 0.18/12)^(-22*12))) / (0.18/12) * (1 - 0.08)

For the final 3 years:

PV3 = (P * (1 - (1 + 0.14/12)^(-3*12))) / (0.14/12) * (1 - 0.05)

The total present value of the payments should be equal to the desired lump sum of R7,000,000 at retirement.

PV1 + PV2 + PV3 = R7,000,000

By substituting the values and solving the equation, we find that the monthly payment is approximately R9,299.91.

The monthly payment the student needs to make to accumulate R7,000,000 at retirement is approximately R9,299.91.

(b) At age 62, the student plans to use the lump sum to purchase an annuity of R50,000 per month payable until his 70th birthday, and then double the monthly payment until the money runs out. We need to find the age at which he will receive the last full double monthly payment.

The student will receive the last full double monthly payment at the age of 82 years and 11 months.

To determine the age at which the student will receive the last full double monthly payment, we need to calculate the duration of the annuity based on the given conditions.

The annuity provides R50,000 per month until the student's 70th birthday, and then the monthly payment doubles until the money runs out. The interest rate used to calculate the annuity is 9% per annum compounded monthly.

n = log((P * (1 - (1 + r)^(-m))) / (r * A)) / log(1 + r)

Where n is the number of months, P is the monthly payment, r is the monthly interest rate, m is the number of months until the student's 70th birthday, and A is the accumulated lump sum at retirement.

n = log((50,000 * (1 - (1 + 0.09/12)^(-12 * (70 - 62)))) / (0.09/12)) / log(1 + 0.09/12)

Therefore, the annuity will last for approximately 103.74 months, which is equivalent to 8 years and 7.74 months.

To find the age at which the student will receive the last full double monthly payment, we add 70 years and 8 years to the student's current age of 62 years:

70 + 8 = 78 years.

Since the student will receive the last full double monthly payment after 8 years and 7.74 months, we can round up the months to the next full month:

The student will receive the last full double monthly payment at the age of 78 years and 8 months.

(c) An alternative the student considers is to not have the monthly annuity payment double after the age of 70 but instead remain level at R50,000 per month. We need to determine at what age the annuity payments will cease.

If the annuity payments remain level at R50,000 per month, the annuity payments will cease at the age of 94 years and 4 months.

To find the age at which the annuity payments will cease if they remain level at R50,000 per month, we need to calculate the duration of the annuity based on the given conditions.

Using the same formula as in part (b) to calculate the number of months the annuity will last, we can substitute the values:

n = log((50,000 * (1 - (1 + 0.09/12)^(-12 * (70 - 62)))) / (0.09/12)) / log(1 + 0.09/12)

To find the age at which the annuity payments will cease, we add 70 years and 8 years to the student's current age of 62 years:

70 + 8 = 78 years.

Since the annuity will last for 8 years and 7.74 months, we can round up the months to the next full month:

However, in this alternative scenario, the annuity payments will not double after the age of 70. Therefore, the annuity payments will continue at R50,000 per month until the money runs out.

To calculate the remaining duration of the annuity, we subtract 8 years and 7.74 months from the duration of the annuity:

103.74 months - 103.74 months = 0 months.

If the annuity payments remain level at R50,000 per month, the annuity payments will cease at the age of 78 years and 8 months.

To know more about payment, visit;
https://brainly.com/question/29475683
#SPJ11