raisins and sunflower seeds are sold together in packages of 340 grams. The ratio of the mass of raisins to the mass of sunflower seeds is 2:5. Determine the mass of raisins in a package. Round the nearest whole number.

Step-by-step explanation:

two consecutive numbers means that one is larger by 1 than the other number.

so, we have to choices depending on whether the first number (multiplied by 3) is the larger one, or the second number.

to show what I mean, let's start with the second number being the larger one.

we are dealing therefore with x and (x+1).

3x + (x+1) - 2 = 144

4x - 1 = 144

4x = 145

x = 145/4

this is not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution.

therefore we are checking the other approach :

we are dealing therefore still with x and (x+1). but now we multiply the other number by 3.

3(x+1) + x - 2 = 144

4x + 1 = 144

4x = 143

x = 143/4

this is still not an integer (but this is necessary to have 2 dedicated consecutive numbers).

so, it is actually not a valid solution either.

and now I am beginning to think you left out some important information in the question.

could it be these 2 numbers are consecutive even or consecutive uneven numbers ?

because then the difference between the both of them is 2 and not 1.

we are dealing therefore with x and (x+2). first attempt to make the smaller number the "first" number :

3x + (x+2) - 2 = 144

4x = 144

x = 144/4 = 36

ah ! now that looks different !

36 and 38 are valid solutions under the changed assumptions. and we are dealing with consecutive even numbers.

let's check :

36×3 + 38 - 2 = 36×3 + 36 = 36×4 = 144

correct.

and fun fact, if we turn this around and make the larger number the "first" number, we are still dealing with x and (x+2), but now we multiply the larger number by 3 :

3(x+2) + x - 2 = 144

4x + 6 - 2 = 144

4x + 4 = 144

4x = 140

x = 140/4 = 35

35 and 37 are also valid solutions under the new assumptions and two consecutive uneven numbers ...

so, please check what your original question (and maybe the headlines and description around it) says. and then pick the right solution.

Answer:

last one

Step-by-step explanation:

Answer:

the answer here would be the last one

Step-by-step explanation:

cause intgetables it goes up by six on each one

Answer: -16

Step-by-step explanation:

m=-12-4 = -16

The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

To know more about dissociation curve, refer here:

https://brainly.com/question/30766002#

#SPJ11

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

For more such questions on triangles, click on:

https://brainly.com/question/17335144

#SPJ8

The volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

The volume of a square pyramid is expressed as;

V = (1/3)a²h

Where a is the base length and h is the height of the pyramid

Given that;

First, we determine the height of the pyramid using Pythagorean theorem.

c² = a² + b²

(40cm) = (32cm)² + h²

1600cm² = 1024cm² + h²

h² = 1600cm² - 1024cm²

h² = 576cm²

h = √576cm²

h = 24cm

Now, we calculate the volume of the right square pyramid;

V = (1/3)a²h

V = (1/3) × (64cm)² × 24cm

V = (1/3) × 409664cm² × 24cm

V = 32768cm³

Therefore, the volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

Learn more about volume of pyramids here: https://brainly.com/question/27666514

#SPJ1

by calculating the average sales quantities and comparing them with the sales quantities of the previous and following months, you can determine the number of sales transactions that meet the given criteria.

To count the number of sales transactions that were between the previous and the following month's average sales quantities, you can follow these steps:

1. Calculate the average sales quantity for each product and month. This can be done by summing up the sales quantities for each month and dividing it by the total number of sales transactions.

2. For each customer, product, and month, compare the sales quantity with the average sales quantities of the previous and following months.

3. If the sales quantity is between the previous and following month's average sales quantities, increment the count of sales transactions.

4. If it is January or December, display 0 as there are no previous or following months.

by calculating the average sales quantities and comparing them with the sales quantities of the previous and following months, you can determine the number of sales transactions that meet the given criteria.

To know more about average visit:

https://brainly.com/question/24057012

#SPJ11

Answer:

First Answer: 12.5 weeks

Third Answer: 16 minutes(I think it was a really long decimal so I rounded it up)

Significant figures are in this measurement 1.090

In a number, to determine the number of significant figures following three rules are used:  

The digits which are non-zero are always significant.

Any zeros between two digits which are non-zero are significant.

In the decimal portion, trailing zeros are significant.  

Significant figures = Numbers that carry meaning in the measurements of a number.

The number is 1.090, it has two non-zero digits, 1 zero in between two non-zero digit and one trailing zero thus, all of them are significant figures.

Therefore, it has 4 significant figures : 1.090

Significant figures are in this measurement 1.090

To know more about Significant figures visit brainly.com/question/29153641

#SPJ4

The maximum population density evaluated is 1200 citizens per square mile, under the condition that the city is 30 miles long and two-thirds as wide, and 555,000 citizens currently live there.

Now to evaluate the maximum population density that is considered in the mayor's calculation is
Let us first calculate the area of the city which is (2/3) × (30 miles)
= 20 miles.
So, now we can calculate the current population density which is
555,000 / (20 × 20)
= 1387.5 citizens per square mile.
Hence the mayor evaluates that at least 75,000 people must transfer out of the city for adequate services to be exercised, we can find the new population as
555,000 - 75,000
= 480,000 citizens.
Therefore, the new population density would be 480,000 / (20 × 20)
= 1200 citizens per square mile

To learn more about population density
https://brainly.com/question/13902749
#SPJ4

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

Learn more about ANOVA on

https://brainly.com/question/25800044

#SPJ4

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

A-1hour in 36

B-16 min 12

Answer: 4 centimeters is the mode

Step-by-step explanation: Mode is the number that comes out the most, and 4 comes out 6 times, which is the most.

Answer:75

Step-by-step explanation: 50+55 =105,

180-105=75

Subscribe to Offxcial Prxmiise

Answer:

x = 105°

Step-by-step explanation:

First to get to know the last angle of the triangle:

\(55 + 50 + x = 180 \\ x = 75\)

The last angle of the triangle is 75°

To get the opposite angle we take 180° (the full angle) minus 75° which results in 105°

Answer:

Step-by-step explanation:

285 dollars.  the left money = 660 - 375 =285

First frame is for b and second frame is for c

The cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister would vary depending on the county fair and their individual ages.

Cost is the monetary value of goods, services, or resources in exchange for money. It is the amount of money paid for goods or services, which includes all expenses incurred in the purchase or production of goods or services. Cost is determined by the sum of the total expenses involved in producing or acquiring a good or service. Cost is a major factor in decision-making, as it affects both the cost of production and the price of goods and services.

Generally, most county fairs charge a reasonable rate for children and seniors, and a slightly higher rate for adults.

For Garrett, he would likely qualify for the children's rate, which could range from free to around $10. For the 2 parents and the grandmother, the adult rate would likely apply, which is usually around $15. For the baby sister, some county fairs offer free admission for children under a certain age, while others offer a discounted rate.

Therefore, the total cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister could range from free to around $50, depending on the county fair and the individual ages.

To know more about cost click-
https://brainly.com/question/25109150
#SPJ1

Part a:

The value of the gradient G for the royalty stream is $5,143.

To find the value of the gradient G, we need to calculate the present worth of the 7-year royalty stream. The present worth represents the equivalent value of all future cash flows discounted to the present time using an interest rate of 9% per year.

Let's denote the value of the gradient G as G. The royalty stream begins at the end of the first year with a payment of $12,000. From year 2 to year 7, the royalty stream changes by G each year. Therefore, the cash flows for each year are as follows:

Year 1: $12,000

Year 2: $12,000 + G

Year 3: $12,000 + 2G

Year 4: $12,000 + 3G

Year 5: $12,000 + 4G

Year 6: $12,000 + 5G

Year 7: $12,000 + 6G

To calculate the present worth, we need to discount each cash flow to the present time. Using the TVM (Time Value of Money) factor table or calculator, we can find the discount factors for each year based on the interest rate of 9% per year.

Calculating the present worth of each cash flow and summing them up, we find that the present worth of the 7-year royalty stream is $45,000. Therefore, we can set up the following equation:

$45,000 = $12,000/(1+0.09)^1 + ($12,000+G)/(1+0.09)^2 + ($12,000+2G)/(1+0.09)^3 + ($12,000+3G)/(1+0.09)^4 + ($12,000+4G)/(1+0.09)^5 + ($12,000+5G)/(1+0.09)^6 + ($12,000+6G)/(1+0.09)^7

Solving this equation will give us the value of the gradient G, which is approximately $5,143.

Part b:

The value of the gradient G for the royalty stream, given a future worth at the end of year 7 of $130,000, cannot be determined based on the information provided.

Learn more about gradient here:

brainly.com/question/25846183

#SPJ11

Answer:

2, 3, 4, 5

Step-by-step explanation:

Answer:

I believe 4 of these are correct,

answer choice, 2,3,4and

Step-by-step explanation:

2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom

When the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

If a 3 is five times more likely to appear than each of the other five numbers on the die, we can assign the following probabilities to each outcome:

\(P(1) = P(2) = P(4) = P(5) = P(6) = x\) (some common probability)

\(P(3) = 5x\)

Since the sum of the probabilities for all possible outcomes must be equal to 1, we have:

\(P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + x + 5x + x + x + x = 9x = 1\)

Solving for x, we get:

\(x = 1/9\)

Therefore, the probabilities for each outcome are:

\(P(1) = P(2) = P(4) = P(5) = P(6) = 1/9\\P(3) = 5/9\)

So when the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

Learn more about  probability

brainly.com/question/30034780

#SPJ11

Answer:

Graph D

Step-by-step explanation:

3|x + 1| < 9

divide both sides by 3:

(3|x + 1|)/3 < 9/3

|x + 1| < 3

so:

x + 1 < 3 OR x + 1 > -3

first equation: x + 1 < 3

x + 1 < 3

subtract 1 from both sides:

x + 1 - 1 < 3 - 1

x < 2

(-∞,2)

Second equation:  x + 1 > -3

x + 1 < -3

subtract 1 from both sides:

x + 1 -1 > -3 - 1

x > -4

(-4,∞)

You are to graph: (-4,∞) ∩ (-4,∞)

this is Graph D.

Answer:

Graph D

Step-by-step explanation:

Given inequality:

\(3|x+1| < 9\)

Divide both sides by 3:

\(\implies |x+1| < 3\)

\(\textsf{Apply the absolute rule: \quad If $|u| < a$ when $a > 0$, then $-a < u < a$}\)

\(\begin{aligned} \underline{\sf Case\; 1} && \underline{\sf Case\; 2}\\-3& < x+1 & \quad \quad \quad x+1& < 3\\-4& < x & x& < 2\end{aligned}\)

Therefore, the solution set for the given inequality is:

\(\{x|-4 < x < 2\}\)

When graphing inequalities on a number line:

Place an open circle at x = -4 and x = 2.

Shade between the two values.

Answer:

2827.4 cm

Step-by-step explanation:

Volume of cylinder

V= π*r^2*h

H= height and r= radius

H= 9cm and r = diameter ÷ 2

r= 20cm ÷2 = 10cm

V= 22/7* 10^2* 9cm

V= 2829cm^3

1 . Price of car 8 years later is $4305.

The price of a car that was bought for $10,000 and has depreciated 10% yearly can be calculated by multiplying the original price of the car ($10,000) by (1 - 0.10) raised to the power of the number of years (8). It means the car will lose 10% of its value each year for 8 years. Therefore, the price of the car 8 years later would be $4304.67. This is the final amount after 8 years of deprecation on the original price of the car.

2. The yearly value of the card 25 years later is $16.93 and equation of price is given by 5 * (1 + 0.05)^t where t is time.

The formula used to calculate the future value of an item that appreciates at a certain annual rate is called compounding. In this case, the baseball card was bought for $5 and has appreciated at a rate of 5% per year. The formula used to find the value of the card 25 years later is "Price = initial value * (1 + interest rate)^number of years". Plugging in the given values, we get: "Price = 5 * (1 + 0.05)^25"

Price=5(1+0.05)^25

Price=5(1.05)^25

Price=16.93

so the final price of baseball is $16.93

To know more about equation click below:

https://brainly.com/question/29514785#

#SPJ4

Answer:

-9/5; -1 4/5; -1.8

Step-by-step explanation:

Using proportions, it is found that Product A sold 345600 units.

In this problem, we have that Product B sold 70% less, that is, 30% of Product C, which sold 39,000 units, hence:

B = 0.3 x 33000 = 9900.

Product A sold 3.5 times more than Product B. So, the number of units sold by Product A is given by:

A = 3.5 x 9900 = 346500.

Therefore, Product A sold 345600 units.

Read more about proportion:

https://brainly.com/question/19994681

#SPJ4

Answer:

  i is √-1

Step-by-step explanation:

The definition of i is ...

  i = √(-1)

__

The i shows up in the solution of 2x² +1 = 0.

  \(2x^2=-1\\\\x^2=\dfrac{-1}{2}=\dfrac{-2}{4}\\\\x=\pm\dfrac{\sqrt{-2}}{\sqrt{4}}=\pm\dfrac{\sqrt{(-1)(2)}}{2}=\pm\dfrac{\sqrt{-1}\cdot\sqrt{2}}{2}\\\\\boxed{x=\pm\dfrac{i\sqrt{2}}{2}}\qquad\text{use $i$ for $\sqrt{-1}$}\)