If you need 2 1/4 cups of water for 1 cup of rice how much water do you need if you have 1/3 cup of rice?

The least common multiple (LCM) of 60 and 90 is 180.

The LCM of 220 and 1400 is 3080.

The LCM of 3273∙11 and 23∙5∙7 is 127155.

To find the LCM of 60 and 90, we can list their multiples and find the smallest common multiple, which is 180.

For the numbers 220 and 1400, we can find their prime factorizations (220 = 4 × 5 × 11, 1400 = \(2^{3}\) × 10 × 7). Then, we take the highest power of each prime factor and multiply them together to get the LCM, which is \(2^{3}\) × 10 × 7 × 11 = 3080.

For the numbers 3273∙11 and 23∙5∙7, we multiply together all the distinct prime factors and their highest powers to obtain the LCM, which is 3273∙11∙23∙5∙7.

Learn more about LCM here:

https://brainly.com/question/24510622

#SPJ11

Answer:

The domain is all real number

0 is the minimum (and maximum) of x−y for x, y ∈ (0, 1).

What is real numbers?

A real number in mathematics is a number that can be used to represent a continuous one-dimensional quantity, such as a length of time, temperature, or distance. In this context, continuous denotes that values may vary by arbitrary little amounts. An endless decimal expansion allows for a nearly universal representation of every real number.

The given equation is,

\(log_xa+log_ya=4log_x_ya\)

Using the log rule: \(log_ab = \frac{ln b}{lna}\)

⇒ \(\frac{lna}{lnx}+\frac{lna}{lny} = \frac{4lna}{lnxy}\)

Multiply both sides by, \(\frac{lnxy}{lna}\)

⇒  \(\frac{lnxy}{lnx}+\frac{lnxy}{lny} = 4\),  a ≠ e

Using log rule: \(ln(ab) = lna + lnb\)

⇒

\(\frac{lnx+lny}{lnx} +\frac{lnx+lny}{lny} = 4\\ \frac{lnx}{lnx}+\frac{lny}{lnx}+ \frac{lnx}{lny}+\frac{lny}{lny} = 4\\1+\frac{lny}{lnx}+ \frac{lnx}{lny} +1=4\\\frac{lny}{lnx}+\frac{lnx}{lny}=2\)

\(\frac{(lnx)^2+(lny)^2}{lnx(lny)} =2\\(lnx)^2+(lny)^2 = 2 lnx ln y\\(lnx)^2 - 2lnxlny+(lny)^2=0\\(lnx - lny)^2 = 0\\lnx - ln y = 0\\x = y\)

Hence, 0 is the minimum (and maximum) of x−y for x, y ∈ (0, 1).

To know more about real numbers, click on the link

https://brainly.com/question/155227

#SPJ4

Answer: 1:5

Step-by-step explanation:

If you convert that to a ratio, that is 2:10 = 1:5.

Answer:

We are given the system of equations:

y = x - 1 (equation 1)

y = -3x - 5 (equation 2)

To solve this system of equations using the substitution method, we need to solve one of the equations for one variable and substitute the result into the other equation. Let's solve equation 1 for y:

y = x - 1

Now we can substitute this expression for y in equation 2:

x - 1 = -3x - 5

We will now solve for x:

4x = -4

x = -1

We can substitute this value of x back into equation 1 or equation 2 to find the value of y:

Using equation 1:

y = x - 1

y = -1 - 1

y = -2

Using equation 2:

y = -3x - 5

y = -3(-1) - 5

y = 2

Therefore, the solution to the system of equations is (x, y) = (-1, -2) or (x, y) = (-1,2).

Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364  grams

Step-by-step explanation:

The probability of one of the drawn marbles being red is approximately 0.875 or 87.5%.

The probability of one of the drawn marbles being red can be calculated by considering the different combinations of marbles that satisfy this condition.

First, we need to determine the total number of possible outcomes when two marbles are drawn simultaneously from the jar. This can be calculated using the concept of combinations, denoted as C(n, k), which represents the number of ways to choose k items from a set of n items without considering the order. In this case, we have 16 marbles in total, so the total number of outcomes is C(16, 2) = 120.

Next, we determine the number of favorable outcomes where one marble is red. Since there are 7 red marbles in the jar, we can choose one of them, and for the second marble, we can choose any of the remaining 15 marbles regardless of color. Therefore, the number of favorable outcomes is 7 * 15 = 105.

Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of outcomes: P(one red marble) = 105/120 = 7/8 ≈ 0.875.

To learn more about probability  click here

brainly.com/question/31828911

#SPJ11

Answer:

the spent on food would be $23

And for clothes it would be = $23 + $24 = $47

Step-by-step explanation:

Let us assume the food be x

So for clothes it would be  x + $24

And, the total spent on food and clothes is $70

So the equation is

x + x + $24 - $70

2x = $70 - $24

2x = $46

x = $23

So, the spent on food would be $23

And for clothes it would be = $23 + $24 = $47

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

The 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%

The given information states that a Gallup Poll found 51% of the sample participants responded "yes" when asked if they would like to lose weight. The margin of sampling error is ±3% at a 95% confidence level.

To calculate the 95% confidence interval estimate for the percentage of all adults who want to lose weight, you simply add and subtract the margin of error from the sample percentage.

Lower limit: 51% - 3% = 48%
Upper limit: 51% + 3% = 54%

Therefore, the 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%. This means that if this poll were repeated multiple times under the same conditions, in 95 out of 100 instances, the true percentage of all adults who want to lose weight would fall within this range.

To learn more about confidence interval click here

brainly.com/question/24131141

#SPJ11

Answer:

1 in^2

Step-by-step explanation:

area of a rectangle=l*w

l=7/6

w=6/7

7/6 * 6/7 = 1

Intervention is most likely to be included in the secondary and tertiary levels of prevention.

In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.

The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.

The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.

The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.

Learn more about intervention here:

https://brainly.com/question/28235244

#SPJ11

Chase must win 30 additional games in a row to achieve a 90% win percentage.

Given the information that Chase has won 70% of the 30 football video games, he has played with his brother.

The equation can be solved to determine the number of additional games in a row, x, that Chase must win to achieve a 90% win percentage is:

(70% of 30 + x) / (30 + x) = 90%

Let's solve for x:`(70/100) × 30 + 70/100x = 90/100 × (30 + x)

Multiplying both sides by 10:

210 + 7x = 270 + 9x2x = 60x = 30

Therefore, Chase must win 30 additional games in a row to achieve a 90% win percentage.

To learn about the percentage here:

https://brainly.com/question/24877689

#SPJ11

Checking the given graph, it can be seen that the range of values of x is

The range of values of x are the values of the domain of the graph function

A. -4; -4 does not satisfy the function of the graph

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

Answer:

The next sequence is 243

The pattern is x 3

3 x 3 = 9

9 x 3 = 27

27 x 3 = 81

81 x 3 = 243

Step-by-step explanation:

You're welcome.

the radius of convergence is 1 and the interval of convergence is (1, 3) in terms of x-values.

To determine the radius of convergence, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1 as n approaches infinity, then the series converges. Applying the ratio test to the given series, we have:

lim(n->∞) |((x - 2)^(n+1)/(n+1)) / ((x - 2)^n/n)| < 1

Simplifying the expression, we get:

lim(n->∞) |(x - 2)n+1 / (n+1)(x - 2)^n| < 1

Taking the absolute value and rearranging, we have:

lim(n->∞) |x - 2| < 1

This implies that the series converges when |x - 2| < 1, which gives us the interval of convergence. The radius of convergence is the distance between the center of the series (x = 2) and the nearest point where the series diverges, which in this case is 1.

Learn more about convergence here:

https://brainly.com/question/31440916

#SPJ11

Answer:

C 2

Step-by-step explanation:

im so smart

The other inequality is 2x - 1 > 0 and the greatest integer value in the solution set of the inequality is 2.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have an inequality:

\(\rm log_{4}\left(2x-1\right) < 1\)

Here 2x - 1 > 0

After plotting on the coordinate plane:

The greatest integer value in the solution set of the inequality is 2.

Thus, the other inequality is 2x - 1 > 0 and the greatest integer value in the solution set of the inequality is 2.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

10 *6= 60

60÷2=30

1÷2×b×h formula

answer- 30

Answer:

2πr

Step-by-step explanation:

to find the circumference you must multiply the radius by pi and 2

Answer:

it is 3 pi

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

turn the 1/3 and 3/4 into 4/12 and 9/12, add them and the 2 and 1 and get 4 1/12 turn the rest into fractions of 12 so 11/12 12/12 9/12 = 2 8/12 which = 2 2/3

Answer:

C and A

Step-by-step explanation:

Remember what slope means: \(\frac{rise}{run}\).

9. The first slope is 2, or \(\frac{2}{1}\). This means it is moving up 2 and over 1. The second option is the reciprocal, \(\frac{1}{2}\). The second slope moves up 1 and over 2. The first slope is going higher than the second at the same distance. But then we are given the third slope. I'm going to assume here that it does not matter whether the slope is negative or positive, you are only considering steepness. If our first slope moved up 2 and over 1, this slope moves down 4 and over 1, meaning it is covering more area over the same distance. So the steepest slope is option C.

10. Right off the bat we can get rid of option C. The slope is zero, meaning a flat line with no steepness. Next, we need to figure out if A or B is steeper.

First, we can turn them into mixed numbers in order to better be able to tell which is greater.

\(\frac{5}{3}=1\frac{2}{3}\)

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

Because we don't care whether the line is ascending or descending, we will compare the absolute value of the slopes.

\(1\frac{2}{3} >1\frac{1}{2}\)

So we can see that slope A, \(\frac{5}{3}\) is steeper than slope B.

I hope this helps!

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

If a: b = 1: 3 and b: c= 6: 5, then a: b: c = 2: 6: 5

It is given that a:b = 1:3, so let

a = x .....(i)

b = 3x .....(ii)

where x => some number

Also, it is given that b:c= 6:5, so let

b = 6y .....(iii)

c = 5y .....(iv)

where y => some number

Now, from equations (ii) and (iii),

b = 3x

b = 6y

This implies that

3x = 6y

=> x = 2y .....(v)

Using equation (v) in equation (i), we get

a = x

=> a = 2y .....(vi)

Using equations (vi), (iii) and (vi), we can say

a = 2y

b = 6y

c = 5y

a : b : c

=> (2y) : (6y) : (5y)

=> 2 : 6 : 5

Therefore, a: b: c = 2 : 6 : 5

To learn more about ratios,

https://brainly.com/question/12024093

Answer:X=7

Step-by-step explanation:

Step-by-step explanation:

a1=ar⁰=12 A2=ar¹=-6

a=12 ar=-6

12r=-6

r=-6/12

r=-1/2

a10=ar⁹

=12*(-1/2)⁹

=12*(-512)

=-3/128

S∞ = a1 / (1-r )

=12/(1-1/2)

=12*1/2

=6

The tenth term of the progression will be -3/128, and the sum to infinity will be 6.

The geometric progression defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

We have been given that the first term of a geometric progression is 12 and the second term is -6

So common ratio r = second term/first term = -6/12= -1/2

The tenth term of the progression will be

⇒ ar¹⁰⁻¹ = ar⁹

⇒ 12(-1/2)⁹

⇒ -12(1/512)

⇒ -3/128

The sum to infinity = a / (1-r )

The sum to infinity = 12/(1 - 1/2)

The sum to infinity = 12 × 1/2

The sum to infinity = 6

Thus, the tenth term of the progression will be -3/128, and the sum to infinity will be 6.

Learn more about geometric series here:

brainly.com/question/21087466

#SPJ2

Answer:

300

Step-by-step explanation:

375 divided by 5=75

Each “1”=75

4x75=300

There are 300 boys.

Hope this makes sense

Answer:

300 boys

Step-by-step explanation:

Let the number of boys = x

Girls: 375

boys : girls = 4 : 5

total in the ratio is 9

girls are 5/9 of total, and are 375

boys are 4/9 of total

5/9 x = 375

x = 375 × 9/5

x = 675

Boys are 4/9 of total.

4/9 × 675 = 300