1 1/8 divded by negative 3/7

Answer:

Watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Step-by-step explanation:

Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. This means that:

A = B - 2

and

A = C / 5 => C = 5A

Watermelons A and C together are 3 times heavier than watermelon B. This means that:

A + C = 3*B = 3B

Put C = 5A:

A + 5A = 3B

6A = 3B

=> B = 6/3 A = 2A

=> A = 2A - 2

=> 2A - A = 2

=> A = 2 kg

B = 2 * 2 = 4 kg

C = 5 * 2 = 10 kg

Therefore, watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Function g(x) is \(-3x^{2}\)

It is given that function g(x) is transformation of function f(x).

F(x) = \(x^{2}\)

At x = 0,

F(x) = \(0^{2}\)

      = 0

G(x) = 0 (According to graph)

At x = 1,

F(x) = \(1^{2}\)

      = 1

G(x) = -3 (According to graph)

At x = -1,

F(x) = \((-1)^{2}\)

      = 1

G(x) = -3 (According to graph)

As g(x) = -3f(x)

Therefore, g(x) = \(-3x^{2}\)

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Jutin chooses a function J(x) = 3x - 1 that when he uses the number 7 as an input, then the output is 20.

As per the given data, Jutin chooses a function in which he uses the number 7 as an input, then the output is 20.

Here we have to determine which function Jutin has to use.

Now we have to substitute the value that x = 7 in all the given functions.

First function:

F(x) = 2\(x^{5}\)

F(7) = 2 \((7)^{5}\)

F(7) = 2 (16807)

F(7) = 33614 which is not equal to 20.

Second function:

G(x) = \(x^{2}\) - 19

F(7) = \((7)^{2}\) - 19

F(7) = 49 - 19

F(7) = 30 which is not equal to 20.

Third function:

H(x) = 13 - x

H(7) = 13 - 7

H(7) = 6 which is not equal to 20.

Fourth function:

J(x) = 3x - 1

J(7) = 3(7) - 1

J(7) = 21 - 1

J(7) = 20

The correct function is J(x) = 3x - 1

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The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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Answer:

324 go with that

Step-by-step explanation:

18 x 8 = 144

20 x 9 = 180

144 + 180 = 324

From the portion of a four-year amortization schedule the principal has been paid off after twenty-five payments, is $9543.97.

Loan amount is the amount or sum of money, which is borrowed by one at some rate of interest for a period of time.

Here, the principal has to be calculated after twenty-five payments. At 25 months, the balance of the loan is 10,356 dollars and 3 cents. It can be written as $10356.03.

As, the loan amount or principal is 19,900 dollars. This balance is the total amount of the loan. If we substrate the remaining loan amount from the total amount of loan, the result will be the paid loan amount.

Suppose the paid loan amount is P. Therefore,

\(P=19900-10356.03\\P=9543.97\)

Thus, from the portion of a four-year amortization schedule the principal has been paid off after twenty-five payments, is $9543.97.

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Answer: The last one

Step-by-step explanation:

Answer:

D. 4th Option.

Explanation:

The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.

Answer:

It does not matter whether you multiply the radicands or simplify each radical first. You multiply radical expressions that contain variables in the same manner. As long as the roots of the radical expressions are the same, you can use the Product Raised to a Power Rule to multiply and simplify.

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

6m + 5 = m + 20

6m + 5 - 5 = m + 20 - 5

6m = m + 15

6m - m = m - m + 15

5m = 15

5m ÷ 5 = 15 ÷ 5

m = 3

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Answer:

With what!

Step-by-step explanation:

Answer:

66.666666666667%

Step-by-step explanation:

We can write the inequality involving absolute value to express the statement as:

|x - 52| ≤ 39  Where x is the temperature in degrees Fahrenheit.

The inequality involving absolute value to express the statements are:

A. The weatherman predicted that the temperature would be within 39 of 52°F.

We can write the inequality involving absolute value to express the statement as:

|x - 52| ≤ 39

Where x is the temperature in degrees Fahrenheit.

This absolute value inequality states that the temperature should be within 39°F of 52°F. Hence, the temperature can be 13°F or 91°F. However, if the temperature goes beyond these limits, then it is not within 39 of 52°F.B. Serena will make the B team if she scores within 8 points of the team average of 92.

We can write the inequality involving absolute value to express the statement as:

|x - 92| ≤ 8

Where x is the score obtained by Serena. This absolute value inequality states that the score obtained by Serena should be within 8 points of the team average of 92. Hence, if the average score is 92, then Serena can score between 84 and 100. However, if Serena's score goes beyond these limits, then she will not make it to the B team.

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Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

2, 7, 12.

Step-by-step explanation:

Substitute n = 1, n = 2 and n = 3:

First term = 5(1) - 3 = 5-3 = 2

Second = 5(2) - 3 = 7

Third = 5(3) - 3 = 12.

Answer:

a

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:0.35

Step-by-step explanation:you will have to multiply 70% by 50% and that would give you your answer

Answer:

7272 hours

Step-by-step explanation:

4848 ÷ 2 = 2424

2424 + 4848 = 7272

The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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There are 14 books on the bookshelf as a result.

Assume that there are x total books on the bookshelf. Neil has read 7 out of a total of 7 + (x-7) = x-0 books, which means that he has read 7/14 of the books, according to the problem. This is reduced to 1/2.

Now that he has read 8 out of 15 books, his percentage of books read will be 8/15 if he reads one more (the original 7 books he read plus the one he read now). This implies:

8/15 = 8/(x+1)

In order to find x, we can cross-multiply:

8(x+1) = 15(8) (8)

8x + 8 = 120

8x = 112

x = 14

There are 14 books on the bookshelf as a result.

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Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:

The answer is -5<x

Step-by-step explanation:

-3<2x+7

Subtract 7 from both sides

-10<2x

Isolate x by divided both sides by 2

-5<x

Answer:

C

Step-by-step explanation:

8 x 6 would equal 48, which results in not having enough money to buy lunch for more people.

Answer:

the answer should be c

Step-by-step explanation:

let's do a equation for this problem.

8x = 50

/8     /8

  x = 6.25

x represents the amount of friends. we divide 8 by both sides to isolate x by itself.

since the final result gives us a decimal, we have to round it to the nearest whole number. it's not possible to have a decimal amount of friends. it should be 6. it cannot be 7 if you are wondering because 7 is bigger than 6.25. there's no way there can be 7 friends when there is a limit amount of 6. therefore, the answer is c.

Answer:

x>24

Step-by-step explanation:

30.

\(g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6\)

31.

\(h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90\)

32.

\(f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}\)

33.

\(g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}\)

Andy hired the carpet cleaner for 9 days, bringing the total cost to £82.20.

An equation is an expression that shows the relationship between two or more numbers and variables. Dependent variables depend on other variable while an independent variable .

Let y represent the amount of money paid to the carpet cleaner for working x days. Multiply the number of days by 7.8 and then add 12, Hence:

y = 7.8x + 12

For a total cost of 82.20

82.2 = 7.8x + 12x  = 9.

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Answer:

A = 153.86 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where pi is approximated by 3.14 and r is the radius

We are given a diameter of 14

r = d/2 = 14/2 = 7

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86 cm^2

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

The end behaviors of the graph of the function are given by:

as x → −∞, f(x) → ∞

as x → ∞, f(x) → ∞

Thus, this is the required answer.

Solution:

The given polynomial function is of degree 2 (quadratic function).f(x) = ax² + bx + c, Where a, b, and c are real numbers with a ≠ 0.

The quadratic function has the general form: f(x) = a(x - r)(x - s)where r and s are the x-intercepts.

The given x-intercepts are (-2,0) and (2,0) which means that:r = -2 and s = 2.

So, the quadratic function can be written as:

f(x) = a(x - (-2))(x - 2)f(x) = a(x + 2)(x - 2), where a is a non-zero constant.The y-intercept is (0,-4).

We know that the y-intercept occurs where x = 0.

Substituting x = 0 and y = -4 in the quadratic function:

f(x) = a(x + 2)(x - 2)

when x = 0,

y = -4.

-4 = a(0 + 2)(0 - 2)

=> -4 = -4a

=> a = 1

The quadratic function is:

f(x) = (x + 2)(x - 2)

The end behaviors of the graph of the function are given by:

as x → −∞, f(x) → ∞

as x → ∞, f(x) → ∞

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator