15. Container A holds twice as much as
container B, and container C holds as much
as A and B put together. If we start with A
and B full, and C empty, and pour half the
contents of A and a third of the contents of
B into container C, what fraction of C’s
capacity will be filled?

Answer:

Net price is the college’s annual cost of attendance minus the grants, scholarships, tuition waivers and other gift aid a student receives for one year of college. This does not factor in loans. It includes only the forms of financial aid that a student does not have to repay or earn through work.

Explanation:

Answer:

20bags

Answer:

10 bags

Explanation:

We know that one bag has 40 ounces or 2.5 pounds (40/16) of potatoes. We also know that 5 pounds of potatoes cost 4 dollars. Since 5 is 2*2.5, we know that each bag of potatoes costs 4/2 or 2 dollars (just looking at the common ratios). Since each bag of potatoes costs 2 dollars, and Larry has 20 dollars, he can buy a maximum of 10 bags of potatoes (20/2=10).

Answer:

Some strategies that consumers can use to reduce the amount of interest they'll pay on credit card debt are:

1. Pay off the debt with the highest interest rate first.

2. Make more than the minimum payment each month.

3. Try to negotiate a lower interest rate with your credit card company.

4. Use a balance transfer credit card to pay off your debt.

5. Get a personal loan to pay off your credit card debt.

Explanation:

Continue to pay your bills on time, get rid of any remaining debt, and establish a plan to give it another go in three to six months. The next time, you can make a stronger argument by repairing your credit.

Lower interest rates make borrowing less expensive, enabling people to spend and invest more freely. Interest rates have a long-term impact on the cost of borrowing money.

Interest rates are influenced by the supply and demand of money, government borrowing, inflation, and the Central Bank's monetary policy goals.

You may frequently be given a cheaper interest rate if you keep up good credit and a spotless payment history.

Therefore, On the other hand, higher rates increase the cost of borrowing and can cause consumers to spend less and save more.

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According to  “Congress and the Quest for Power” by Lawrence Dodd,  people enter politics because of their quest for power.

The three reasons why reelections are required are:

The “electoral connection” will lead members of Congress to emphasize :

The traits or actions they begin to care about less are:

The need to exercise power for making key policy decisions.

They spend most of their time in:

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The number of callers that  did not consent to the survey is 40 callers.

Using this formula

Number of caller=Callers×(1-Percentage of those that solicited)÷Callers at conclusion survey

Let plug in the formula

Number of caller=400 ×(1-20%)÷8

Number of caller=400 ×80%÷8

Number of caller=320÷8

Number of caller=40 callers

Therefore the The number of callers that  did not consent to the survey is 40 callers.

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1, 5, and 10 would all result in a valid solution for x. Therefore options B, C, and D are correct.

To determine the values of "a" for which the equation Ax = 5 has no solutions, we can solve the equation for x. Since "a" is a constant, we can rearrange the equation to x = 5/a.

For the equation to have no solutions, the value of "a" must be such that the expression 5/a results in division by zero. Therefore, the value of "a" that would lead to no solutions is A) 0. If "a" is zero, then 5/0 is undefined, and the equation Ax = 5 would not have a valid solution for x.

The other options (B) 1, (C) 5, and (D) 10 would all result in a valid solution for x.

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Answer:

x = 25

Explanation:

We can let an arbitrary rectangle has a length and width of 10, making the total area 10*10 or 100. We know that the length of the rectangle is reduced by 10%, meaning the new length is now 10 - (0.1*10), or 9. The actual width is unknown, but we do know that it will be an x% reduction of the original width: 10 - (0.01x*10), or 10 - 0.1x. We are also given that the area is reduced by 32.5%. This means the new area is 100 -  (0.325*100), or 100 - 32.5, which is 67.5. Now, we can use the area formula (length*width) to find the value of x:

[tex]length*width=area\\9*(10-0.1x)=67.5\\90-0.9x=67.5\\-0.9x=-22.5\\x=25[/tex]

This means that the value of x is 25, or the width was reduced by 25%

The two parties that benefit from the information in a statement of account are:

This refers to the financial record that states the exchange of goods and income between a buyer and seller during a certain period.

Hence, we can see that some information that would appear in a statement of account are:

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If m and n are constants and it is true for all positive values of x and y, the value of m+n is 7+11 = 18

The simplification of the given algebra can be evaluated by using the law of indices.

Given that:

[tex]\mathbf{=(x^5y^6)^{1/5}(x^3y^4)^{1/4}}[/tex]

[tex]\mathbf{=xy^{6/5}(x^3y^4)^{1/4} }[/tex]

Simplifying using the multiplication power rule.

[tex]\mathbf{=xy^{6/5}(x^{3/4}y)}[/tex]

[tex]\mathbf{=xy^{6/5} \times (x^{3/4}y)}[/tex]

Multiplying like terms.

[tex]\mathbf{=x^{\frac{4+3}{4}} y^{\frac{6+5}{5}}}[/tex]

[tex]\mathbf{=x^{\frac{7}{4}} y^{\frac{11}{5}}}[/tex]

where;

The value of m+n = 7+11 = 18.

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A type of sampling in which the country is divided into economic classes and a sample is selected from each class for survey is known as stratified sampling.

In Statistics, there are different types of sampling methods used by researchers and these include the following;

Basically, stratified sampling is a type of sampling in which a population is divided into distinct classes and a sample is selected from each class for survey.

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It Show that Antonia and Isabel are discussing Temperaments of their newborns.

A person's temperament is known to be that which tells how a person behave and stands for themselves as a result of their personality traits and other experiences.

Note that in the case above, It Show that Antonia and Isabel are discussing Temperaments of their newborns.

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Answer:

-save by the $100's and spend whatever you have left until you get payed again

The number of square feet that were mowed in the third evening is 36.201 ft².

Amount (day 1) = ²/₉ x 108.6 ft²

Amount (day 1) = 24.133 ft²

Amount (day 2) = 2(24.133 ft²) = 48.266 ft²

Amount (day 3) =  108.6 ft² - (24.133 ft² + 48.266 ft²)

Amount (day 3) = 36.201 ft²

Thus, the number of square feet that were mowed in the third evening is 36.201 ft².

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The difference between [tex]\frac{1}{2}e^{x-4}[/tex] and [tex]e^{x-4}[/tex] is that the first equation is only half of the second equation. When we multiplied [tex]e^{x-4}[/tex] by [tex]\frac{1}{2}[/tex], the remaining result became half of [tex]e^{x-4}[/tex]. Hope this helps!

Based on the calculations, the number of integers in this set are 33.

Since the least integer of this set of consecutive even integer is -30. Thus, the sequence would be as follows:

-30, -28, -26, -24,....0.

Based on the given sequence, we have:

n/2[(2 × (-30)) + (n - 1) × 2] = 66

n [-30 + n - 1] = 66

n(n - 31) = 66

n² - 31n - 66 = 0

Factorizing the quadratic equation, we have:

n² - 33n + 2n - 66 = 0

n(n - 33) + 2(n - 33) = 0

(n - 33)(n + 3) = 0

Therefore, n = 33.

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Answer:

57.598 inches

Explanation:

2.54 cm / 1 inch = 146.3 cm / ? inches

? inches = 57.598

Answer:

The APR doesn't last forever. Enjoy it while you can, because once your 0% introductory period is over, it's over. The 0% interest only lasts for the duration of the introductory period, and once it ends, the card will revert to its regular APR (the exact rate is determined based on your creditworthiness).

Answer:

Explanation:no

Answer:

D. 6a^2-8a^3

Explanation:

Using distributive property

Answer:

50 minutes

Explanation:

We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:

[tex]60x=1.2xy\\60=1.2y\\y=50[/tex]

If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home

Answer:
One should remember that personal loans are collateral-free, so lending institutions thoroughly check borrowers' profiles on criteria such as income, credit score, age, and employment history

Answer:

[tex]\{2\} \cup \{3\}[/tex]

Explanation:

[tex]x^3(x^2 - 13) = -36x; \\ x^3(x^2 - 13) + 36x = 0; \\ x(x^2(x^2 - 13) + 36)=0; \\ x(x^4 - 13x^2 + 36) = 0 \\ \left \ [ {{x = 0} \atop {x^4 - 13x^2 + 36 = 0}} \right.[/tex]

We have two equalities.

Let us analyze the latter.

Let [tex]x^2 = t[/tex] on condition that [tex]t \geq 0[/tex], then:

[tex]t^2 - 13t + 36 = 0; \\ a = 1, b = -13, c = 36; \\ D = b^2 - 4ac = (-13)^2 - 4 * 1 * 36 = 169 - 144 = 25 = 5^2, > 0; \\ t_{1, 2} = \frac{-b \pm \sqrt{D}}{2a} = \frac{-(-13) \pm \sqrt{5^2}}{2 * 1} = \frac{13 \pm 5}{2} = \ [ {{\frac{13 - 5}{2} = \frac{8}{2} = 4 } \atop {\frac{13 + 5}{2} = \frac{18}{2} = 9 }} \right.[/tex]

Substitute [tex]t[/tex] back for [tex]x^2[/tex], keep in mind that [tex]t \geq 0[/tex].

[tex]\left \ [ {{x^2 = 4} \atop {x^2 = 9}} \right. \Leftrightarrow \left \ [ {{x = \pm 2} \atop {x = \pm 3}} \right.[/tex]

Therefore, [tex]\{-3\} \cup \{-2\} \cup \{0\} \cup \{2\} \cup \{3\}[/tex] is our set of solutions. Given the condition that we need our variable to be more than zero, our answer is [tex]\{2\} \cup \{3\}[/tex].

Answer:

54 dollars

Explanation:

Because this problem involves simple interest, and the money is only deposited for one year, you can calculate the amount of money in the bank after one year by thinking about a percent increase. Johnny starts with 50 dollars in his bank account, and we are given that he will experience an 8% increase over the year. This means that the amount of money in his bank account after one year is just 50 + 0.08*50 (the principal amount plus the simple interest, or amount of money that increases during the year). This is equal to 50 + 4, or 54 dollars.

Note that, whenever we are dealing with simple interest, the amount of money in the bank after a certain number of years is just P(1 + PRT), where P is the principal amount, R is the interest rate, and T is the number of years the money is in the bank.

My plan in terms of school work is to do a small research on how one can have a good grade without stress.

In terms of my grades, I will study hard and improve on it that previous semester. The activities that i will be involved is the science club  

The possible jobs are:

In terms of the above, a standardized tests that i can take is  random sampling to know what and what not to do.

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Answer:

my plan start with school so when i start

I am grade 9 student.

I hope to score average above 90

I am a student so my work, job is learning

I take a test tomorrow and I am studying now

Answer:

4 questions

Explanation:

We can either reason this out with logic or solve it out using a system of equations. I will use a system of linear equations to make it easier to understand. We can use two variables in this case: let x equal the number of questions the team answered correctly, and let y equal the number of questions the team answered incorrectly. Since there are two unknown quantities, we will need two equations. Let's use the fact that there are 50 questions total to create our first equation. The total number of questions is just the sum of the correctly and incorrectly answered questions (assuming the team did not leave any answers blank). This means that our first equation is just the following: x + y = 50. For the purpose of the solution, I am going to isolate y and say that y = 50 - x

We can use the point values were know about to create our second equation. We know that the team got 38 points. We also know that correct answers add one point and incorrect answers subtract two points (meaning incorrect answers are worth twice as much as correct answers). Knowing this, we can set up the following equation: x - 2y = 38 (x number of 1-point questions answered correctly, minus 2 times the number of questions answered incorrectly, equals 38 total points).

The system is the following:

[tex]y=50-x\\x-2y=38[/tex]

Now, we can use substitution to solve this system of linear equations. We already know that y = 50-x, so let's substitute that into the second equation to solve for x:

[tex]x-2(50-x)=38\\x-100+2x=38\\3x=138\\x=46[/tex]

y represents the number of questions answered incorrectly, and if we solve for y we get that y = 50 - 46 = 4

Therefore, the team answered 4 questions incorrectly

The number of questions that the students answered incorrectly to get the 38 points was 6 questions.

If we assume the team answered all questions correctly, it would have 50 points. However, the team scored 38 points, which is 12 points less than the maximum.

Because each incorrect answer results in a two-point deduction, we can find out how many questions they answered incorrectly by dividing the missing points by 2:

= 12 points / 2

= 6 incorrect answers

Therefore, the team answered 6 questions incorrectly.

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The smallest possible value of a in the given function is 1/5.

From the given function, the value of f(3) is calculated as follows;

f(x)=ax² +  [tex]\frac{2}{a} x[/tex]

f(3) = a(3)² + [tex]\frac{2}{a}(3)[/tex]

f(3) = 9a + 6/a

f(x)=ax² +  [tex]\frac{2}{a} x[/tex]

f(2) = a(2²) + [tex]\frac{2}{a} (2)[/tex]

f(2) = 4a + 4/a

f(3) – f(2) = 11

(9a + 6/a)  - ( 4a + 4/a) = 11

9a + 6/a - 4a - 4/a = 11

5a + 2/a = 11

multiply through with "a"

5a² + 2 = 11a

5a² - 11a + 2 = 0

5a² - 10a - a + 2 = 0

5a(a - 2) - 1(a - 2) = 0

(5a - 1)(a - 2) = 0

a = 2,  or

5a = 1

a = 1/5

Thus, the smallest possible value of a in the given function is 1/5.

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Answer: 12 pigs

Explanation:

1 pig= 1/2 lb

1 chicken= 1/5 lb

20 divided by 5 = 4 lbs of grain used on chickens

10 - 4 = 6

6 x 2 (how many pigs could be fed with a pound) = 12 pigs

A total of 6,000 cartons would be needed.

Cost price = k dollars

Selling price = 4k/3 dollars

Assuming k = 1 dollar

Profit per carton = 4/3 - 1 = 1/3 dollars

2000/1/3 = 6,000 cartons.

Thus, irrespective of the cost price, 6,000 cartons would be needed to generate a profit of $2,000

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