Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 5 gallons of water. Six minutes later, the tank contains 3 gallons of water. Just type the number for your answer, and be prepared to explain or show your reasoning for all answers. 1. At what rate is the amount of water in the tank changing? Use a signed number for the rate. 2. How many more minutes will it take for the tank to drain completely? 3. How many minutes before Jada arrived was the water tank completely full?

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer: 20

Step-by-step explanation:

because if he earned 12 dollars and it equals 32 dollars he would have 20

Ken had $40 then spent $20 on a game he now has $20 left then he earns $12 mowing lawn and now has $32.

Ken had $40 before he bought the game

Answer:

divide b by 2 and square it to get c:

-20/2 = -10

\((-10)^2 = 100\)

second part: (x - 10)(x - 10) or \((x-10)^2\)

Answer:

x (x-20)

Step by step

Answer:

2.17

Step-by-step explanation:

if you subtract 3 1/2 by 1 1/3 it equals 2.1666667 and 2.1666667 rounds to 2.17 and thats how you get your answer.

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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The unit price of the pair of socks is $7.99

Unit price can be described as the price of one item. In this case scenario, we are looking for the unit price of a pair of socks.

The unit price can be calculated as follows

6 pair=47.94

1 pair = x

Cross multiply both sides

6x= 47.94

Divide both sides by the coefficient of x which is 6

6x/6= 47.94/6

x= 7.99

Hence the unit price is $7.99

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Answer:

A

Step-by-step explanation:

The inverse variation y = k/x, when y = 8 and k = 2 then x = 0.25.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

An inverse relationship can be formed between two variables x and y as,

y = k/x.

Given, k = 2 and y = 8.

8 = 2/x.

x = 2/8.

x = 1/4.

x = 0.25.

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Ordering the percentages scores that several players on a basketball team score of the team's total number of points from least (on top) to greatest (on bottom) is as follows:

The percentage is the representation of the ratio of a value or quantity compared to another.

The percentage is computed as the quotient of the division operation between the numerator (a portion of the value) and the denominator (the whole value), which is expressed over 100.

1/5 = 20% (1/5 x 100)

0.15 = 15%

24% = 24%

27/100 = 27% (27/100 x 100)

14% = 14%

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Answer:

Step-by-step explanation:  If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die

Answer:

Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600

Step-by-step explanation:

Given that:

The total amount paid = $20400  to Acme Realty for 12  months;

Thus, for each month rent; we get = $20400/12 = $1700

Now, the moth expired from May 1 to Dec 31 = 8 months

The rent expense for the year will be: monthly rent × number of months

= 1700 × 8

= $13,600

Thus, the balance sheet's adjusting entry will be to record 13,600 as the expense and decrease the total 20400 rent paid with 13600 and book it as prepaid rent as of December end.

Answer:

  x = 8

Step-by-step explanation:

The angle with the expression in it is complementary to the 30° angle, so is 60°. Then we have ...

  4 +7x = 60

  7x = 56 . . . . . . subtact 4

  x = 8 . . . . . . . . .divide by 7

Annuities

The new home costs $136,000.

2. The down payment is 10%:

DP = 10 * $136,000 / 100 = $13,600

The down payment is $13,600

3. Once he pays the down payment, the amount to borrow is:

$136,000 - $13,600 = $122,400.

He is going to borrow $122,400.

4. Now we need to use the annuities formula for A = $122,400, t = 30 years, r = 3.5%, monthly payments.

The formula is:

Where:

R = Amount of the monthly payments

i = Monthly rate of interest

n = Number of payments

Solving for R:

Calculate:

I will keep all the decimals in the calculator. Only a few are shown.

n = 10 years * 12 months per year = 120 payments.

Calculate the amount of the monthly payments:

The monthly payments would be $1,210.36

5. The final value of the mortgage is given by:

Substituting:

The interest paid is:

I = FV - A

I = $173,605.41 - $122,400

I = $51,205.41

He would pay $51,205.41 in interest over the lifetime of the mortgage

9514 1404 393

Answer:

  the image is congruent with the original, angles and lengths are unchanged

Step-by-step explanation:

Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.

All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.

__

Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...

  (x, y) ⇒ (y, -x)

Answer:

sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

The leading coefficient of the polynomial is 4.

The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.

The leading term is the term with the highest degree in the polynomial.

For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.

Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.

In this case, the value of y at the vertex is 4.

Therefore, the leading coefficient of the polynomial is 4.

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Answer:

wait are you asking the question or giving the answer?

Step-by-step explanation:

Answer:

- 1.67

Step-by-step explanation:

f(x) = \(\frac{3}{7+2}\) - \(\sqrt{7-3}\)

    =  \(\frac{3}{9}\) - \(\sqrt{4}\)

    = \(\frac{1}{3}\) - 2

    = - 1 \(\frac{2}{3}\)

    = -1.6666666

    = -1.67

The area that will be painted grey is approximately 38 ft².

The circumference of the free-throw circle is given as 30.77 feet, and we know that the free-throw circle is a perfect circle. We can use the formula for circumference to find the radius of the circle, which will be necessary to calculate its area.

Circumference of a circle = 2πr

30.77 = 2 x 3.14 x r

r = 30.77 / (2 x  3.14) = 4.9 feet

Half of the circle will be painted grey. Find the area of half the circle using the formula for the area of a circle.

Area of a circle = π x r²

Area of half the circle = 0.5 x  π x r²

Area of half the circle = 0.5 x 3.14 x 4.9²

Area of half the circle = 37.73 ft²

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Answer: 196

Step-by-step explanation: Just had 28 songs on the music player and Gomez has seven times as much.

you multiply and get 196.

The second difference is constant in quadratic number patterns.  The correct option is C

Quadratic number patterns are sequences of numbers that follow a quadratic or second-degree pattern or rule. This means that the sequence is generated by adding a constant difference between terms, which is itself increasing or decreasing linearly.

A quadratic sequence can be defined by a formula of the form :

an = a + bn + cn^2

Where

Therefore, the correct option is C

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Answer:

x=2 and 2.6

Step-by-step explanation:

The required solutions for the given function |3 + 10x| = 23 are x = 2 and x = -2.6.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

The function is given in the question as:

|3 + 10x| = 23

To solve for x, we can begin by expressing the absolute value as a piecewise function:

|3 + 10x| = 23

(3 + 10x) = 23, if 3 + 10x ≥ 0

-(3 + 10x) = 23, if 3 + 10x < 0

If 3 + 10x ≥ 0, then 3 + 10x = 23, so x = (23 - 3) / 10 = 2.

If 3 + 10x < 0, then -(3 + 10x) = 23, so 3 + 10x = -23. This means that x = (-23 - 3) / 10 = -2.6.

Thus, the solutions for x are x = 2 and x = -2.6.

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The least-squares regression line can be used to predict the number of hours of pain relief given a certain dose.

This is done by taking the sum of the squares of the residuals and finding the minimum value. The residuals are the differences between the observed values and the predicted values. The plot of the residuals versus the dose would reveal the variation in the hours of pain relief across the doses.

For example, the formula for finding the least-squares regression line is

Y = b0 + b1X

where Y is the predicted value, b0 is the intercept, b1 is the slope, and X is the dose.

To calculate the residuals, we take the difference between the observed values and the predicted values for each dose.

residual = Y (observed) - Y (predicted)

The plot of the residuals versus the dose would reveal if the variation in the hours of pain relief is not the same across the doses. This is because if the variation is not the same, then the residuals would not be evenly distributed. If the residuals were evenly distributed, then the sum of the residuals would be equal to zero.

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The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer: It will take Stephanie 20 minutes to run 2 miles.

Step-by-step explanation:

Since 3 miles is equal to 30 minutes, let us find the number of minutes run per mile

divide 30 by 3

10-It takes 10 minutes to run 1 mile

multiply 10 by the number of miles, which is 2

2x10=20

20 minutes

Answer:

Answer is 8

Step-by-step explanation:

The correct answer is 8

Answer:

8

Step-by-step explanation:

5log2(2x)=20

- Divide both sides by 5.

log2(2x)=4

- Apply log rules

2x = 16

- Divide both sides by 2

x = 8

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Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

See below.

Step-by-step explanation:

\(f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13\)

Answer:

Pls attach graph

Step-by-step explanation: