David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.

Answer:He used 6 plots of land.

explanation:

total no. of plots =10 (land was divided in 10 equal parts)

used plots = 3/5 of 10 =3/5*10 =6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think 17.5

The average rate of change of the function p(θ) over the interval [1,2] is 0.

The average rate of change of a function over an interval is given by the slope of the secant line that connects the two points on the function at the endpoints of the interval.

For the function p(θ)=θ^3−5θ^2 + 6θ and the interval [1,2], the average rate of change can be calculated as:

(p(2) - p(1)) / (2 - 1) = ((2^3 - 5 × 2^2 + 6 × 2) - (1^3 - 5 × 1^2 + 6 × 1)) / (2 - 1) = ((8 - 20 + 12) - (1 - 5 + 6)) / (2 - 1) = (0) / (1) = 0.

So, the average rate of change of the function p(θ) over the interval [1,2] is 0.

To know more about average rate of change, here

https://brainly.com/question/29067951

#SPJ4

Answer:

1,908÷36=53 estimation equals 50

Step-by-step explanation:

It is 50 because 53 is close to 50 not 60 if it equaled 55 or 56 then yeah it would be 60 but in this case it is 50!

The greatest length, in inches, that she can make from the two pieces of ribbon is 6 inches

Find the factors of 30 and 48

The greatest common factor of 30 and 48 is 6

Therefore,

Ribbon A can be cut into = 30 / 6

= 5 pieces

Ribbon B = 48/6

= 8 pieces

Learn more about greatest common factor:

https://brainly.com/question/219464

#SPJ1

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

For more such questions on area, click on:

https://brainly.com/question/25292087

#SPJ8

===========================================================

Explanation:

y = 5 because the long leg is exactly sqrt(3) times that of the short leg.

The short leg is always opposite the 30 degree angle.

The hypotenuse x is twice that of y, so x = 2y = 2*5 = 10

All of these rules only apply to 30-60-90 triangles. You can use trig ratios as an alternative route.

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

True

Step-by-step explanation:

If k = 2, then we plug in 2 for every instance there is a k. So...

8k + 4 > 18

Will turn into...

8(2) + 4 > 18

Then solve using PEMDAS (or whatever you were taught. Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.)

16 + 4 > 18

20 > 18

Since 20 is greater than 18, 2 can be a solution for this inequality.

Answer:

C

Step-by-step explanation:

47 Step-by-step explanation:

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

Answer:

x = 41

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

2x + 13 + x - 4 + x + 7 = 180, that is

4x + 16 = 180 ( subtract 16 from both sides )

4x = 164 ( divide both sides by 4 )

x = 41

Answer:

x=41

Step-by-step explanation:

we know that all the angles need to add up to 180

The angle on top is almost a right angle(90) but is not exactly

playing with the numbers will help

95-13=82/2=41

lets continue with this and see if it works out

41+7=48

41-4=37

48+95+37=180

hope this helps!

Answer:

\(Area= 16a^2-40a+25\)

Step-by-step explanation:

given that the side of the square is 4a

The expression for the area can be solved by

1. subtracting 5 from the sides of the square i.e (4a-5)

2. Solving for the area of the square using

\(Area= l^2\)

\(Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\\)

opening the bracket and expending we have

\(Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25\)

the expression is \(Area= 16a^2-40a+25\)

The probability that an adult in the city is single is 14%.

In the given city, based on the survey results, the percentages of adults with different marital statuses are provided. To find the probability of an adult being single, we look at the percentage of single individuals, which is 14%. Therefore, the probability of an adult being single is 14%.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

9 inches

Step-by-step explanation:

The price pliantness of force using th midpoint method is1.5. This implies that the volume supplied is fairley elastic, as a 1 increase in price leads to a1.5 increase in the volume supplied.

To calculate the price pliantness of force using the midpoint system, we need to use the following formula

Pliantness of force = ( Chance Change in volume Supplied)( Chance Change in Price)

First, let's calculate the chance change in volume supplied

Chance Change in Quantity Supplied = (( New Quantity Supplied-original volume Supplied)( Average volume Supplied)) * 100

original volume Supplied = 100

New Quantity Supplied = 300

Average volume Supplied = ( original volume Supplied New Quantity Supplied)/ 2

Average volume Supplied = ( 100 300)/ 2 = 200

Chance Change in Quantity Supplied = (( 300- 100)/ 200) * 100

= ( 200/ 200) * 100

= 100

Next, let's calculate the chance change in price

Chance Change in Price = (( New Price-original Price)/( Average Price)) * 100

original Price = $ 6

New Price = $ 12

Average Price = ( original Price New Price)/ 2

Average Price = ($ 6$ 12)/ 2 = $ 9

Chance Change in Price = (($ 12-$ 6)/$ 9) * 100

= ($ 6/$ 9) * 100

= 66.67

Eventually, we can calculate the price pliantness of force

Pliantness of force = ( Chance Change in volume Supplied)( Chance Change in Price)

= 100/66.67

= 1.5

thus, the price pliantness of force using the midpoint method is1.5. This implies that the volume supplied is fairly elastic, as a 1 increase in price leads to a1.5 increase in the volume supplied.

For more questions on midpoint method

https://brainly.com/question/30242985

#SPJ8

The correct null hypothesis and alternate hypothesis will be

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

It is given that

The mean price of a prom dress was $195. 00 with a standard deviation of $12. 0

Given that Alyssa thinks that her school is more fashion-conscious and that students spent more than $195.00.

She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.

Since she wants to check whether the sample mean \(\mu\) is the same as the population mean  \(\mu\) = 195

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

(Right hypothesis  test)

Thus the correct null hypothesis and alternate hypothesis will be

\(H_{0} =\mu=195\\H_{a} =\mu > 195\)

To learn more about null hypotheses follow

https://brainly.com/question/15980493

Answer: OPTION A

Step-by-step explanation:

Answer:

x divided by 2 times 2 simplifies to x.

Step-by-step explanation:

Answer:

The expression "x divided by 2 times 2" can be simplified as follows: x / 2 * 2 = x * (2 / 2) = x * 1 = x

Therefore, the answer is x.

Step-by-step explanation:

Answer:

x = 84/5 = 16.8

Step-by-step explanation:

The angle bisector theorem said that

21/15 = x/12

==> 7/5 = x/12

==> x = 84/5

The correct answers for the expression T(n) are:

- T(n) = O(81log₃n)

- T(n) = O(n³lg(n⁷))

- T(n) = Ω(n³lg(n⁷))

These answers are correct because:

- T(n) = O(81log₃n): This indicates that T(n) has an upper bound of 81log₃n, meaning it grows at most logarithmically with base 3.

- T(n) = O(n³lg(n⁷)): This signifies that T(n) has an upper bound of n³lg(n⁷), indicating it grows no faster than n³ multiplied by the logarithm of n⁷.

- T(n) = Ω(n³lg(n⁷)): This means that T(n) has a lower bound of n³lg(n⁷), suggesting it grows at least as fast as n³ multiplied by the logarithm of n⁷.

However, T(n) = O((31ⁿ)​) is not a correct answer. This is because the expression (31ⁿ) grows exponentially with n and is not an upper bound for T(n).

To know more about upper bound visit:

https://brainly.com/question/33419683

#SPJ11

For a non-constant member function of class test, the this pointer has type D. const Test * const. The this pointer is a special pointer in C++ that points to the object whose member function is being executed.

It is a hidden parameter that is passed to all non-static member functions. The type of the this pointer depends on the const-ness of the member function and the const-ness of the object on which the member function is being called.
In this case, the member function is non-constant, which means it can modify the object on which it is being called. Therefore, the this pointer is a pointer to a constant object of type Test. This is because the object on which the member function is being called is being treated as constant inside the member function, even though it may not actually be constant.
The const keyword before Test indicates that the object pointed to by the this pointer is constant, and the const keyword after Test indicates that the this pointer itself is constant and cannot be modified. Therefore, the correct answer is D. const Test * const.
In summary, the type of the this pointer for a non-constant member function of class test is a pointer to a constant object of type Test, which is itself a constant pointer that cannot be modified.

To learn more about member function, refer:-

https://brainly.com/question/19592235

#SPJ11

Given

Find

NQ

Explanation

As we see ,

NQ = NP + PQ

NP = 1 1/4 in

PQ = 1 in

so ,

NQ =

Final Answer

Hence , the length of NQ is 2 1/4 in

Answer:

94 children, 64 students, and 47 adults attended the movie theater.

Step-by-step explanation:

Let; a be for adults, s for students, and c for children.

Make a system to solve for the amount of people.

c/a = 2

a + 2a + s = 205

3a + s = 205

Simplify.

s = 205 - 3a

s = 205 - 3a

c = 2a

Plug it in.

5c + 7s + 12a = 1482

10a + 7(205 -3a) + 12a = 1482

10a + 1435 - 21a + 12a = 1482

a + 1435 = 1482

a = 47

Substitute.

c = 2(47)

c = 94

Solve.

s = 205 - 3(47)

s = 64

Step-by-step explanation:

\( \sqrt{4 \times 9 \times 16} = \sqrt{4} \times \sqrt{9} \times \sqrt{16} = 2 \times 3 \times 4 = 24\)

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

Visit here to learn more about probability:

brainly.com/question/13604758

#SPJ11

Answer:

16

Step-by-step explanation:

9-9:9 +9 - 9 :9 =

9 - 1 +9 - 1 =

8 +9 - 1 =

17 - 1 =

16