A purple hot-air balloon is 90 feet off the ground and rising at a rate of 7 feet per second. A yellow hot-air balloon is 120 feet off the ground and rising at a rate of 4 feet per second. Which equation could represent this situation and determine after how many seconds, s, the purple hot-air balloon will be the same height as the yellow hot-air balloon?
1 point
90 + 7s = 120 + 4s
7s + 120 = 4s + 90
90s + 7 = 120s + 4
11s = 210

Answer:

Perimeter of NCAA court=288 feet

Perimeter of new court=259.2 feet

Step-by-step explanation:

We are given that

Length of NCAA court, l=94 feet

Width of NCAA court, b=50 feet

Width of new court, b'=45 feet

We have to find the perimeter of an NCAA court and new court in the school.

Perimeter of NCAA court=\(2(l+b)\)

Perimeter of NCAA court=\(2(94+50)\)feet

Perimeter of NCAA court=288 feet

When two rectangles are similar then  the ration of their   corresponding sides are equal.

Using the  property

\(\frac{Perimeter\;of\;NCAA\;court}{Perimeter\;of\;new\;court}=\frac{Width\;of\;NCAA\;court}{Width\;of\;new\;court}\)

\(\frac{288}{Perimeter\;of\;new\;court}=\frac{50}{45}\)

Perimeter of new court=\(\frac{288\times 45}{50}\) feet

Perimeter of new court=259.2 feet

The perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

Given to us,

For NCAA basketball court,

Length, \(\bold {L_{NB}}\) = 94 feet,

Width, \(\bold {W_{NB}}\) = 50 feet,

For School basketball court,

Width, \(\bold {w_{school}}\) = 45 feet,

As discussed in the question, school basketball court will be similar to an NCAA basketball court. Thus, they will be in ratio,

\(\bold {\dfrac{L_{NB}}{W_{NB}} = \dfrac{l_{school}}{w_{school}}}\)

Substituting the value,

\(\bold {\dfrac{94}{50} = \dfrac{l_{school}}{45}}\)

\(\bold{ l_{school} = \dfrac{94\times 45}{50}}\)

\(\bold{ l_{school} = 84.6 }\)

We know that, perimeter of rectangular = 2(length+width),

\(\begin{aligned}Perimeter_{NB}&= 2(length+width)\\&= 2(94+50)\\&= 288 \end{aligned}\)

\(\bold{\begin{aligned}Perimeter_{school}&= 2(length+width)\\&= 2(84.6+45)\\&= 259.2\end{aligned}}\)

Hence, the perimeter of the NCAA basketball ground is 288 feet, while the school basketball ground is 259.2 feet.

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Answer:

20

I wish you good luck on your assignments.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

b. measure of angle F = 33.69 degrees

Step-by-step explanation:

tan^-1(4/6) = 33.69006752... degrees

Answer:

67.4 mph

distance~337

rate~67.4 mph

time~5 hours

Step-by-step explanation:

hope this helps

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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Answer:

11 buses

Step-by-step explanation:

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Answer:

A: 12.5

B: 36

C: 40

D: 88

Step-by-step explanation:

those are the answers

Answer:

Step-by-step explanation:

Using right triangle concepts, it is found that:

-----------------------------------

\(\sin{25\textdegree} = \frac{y}{3}\)

\(0.4226 = \frac{y}{3}\)

\(y = 3(0.4226) = 1.27\)

The height of the slide is of 1.27 ft.

Applying the Pythagorean Theorem, we find the length of the floor x, thus:

\(x^2 + 1.27^2 = 3^2\)

\(x^2 = 3^2 - 1.27^2\)

\(x = \sqrt{3^2 - 1.27^2}\)

\(x = 2.72\)

The length of the floor is of 2.72 ft.

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The answer to that is 5, award me brainliest please!

Cooper ran 286 miles in 21 weeks.

Answer:  

6  

Step-by-step explanation:

this question is basically asking you to find the HCF of 30 and 36

step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors

step 2: multiply the prime factors they have in common

30 = 2 x 3 x 5

36 = 2 x 2 x 3 x 3

HCF = 2 x 3 = 6

Answer: 6 rows of lemon trees and 6 rows of lime trees.

Steps: All you need to do is to find the highest common factor of 30 and 36, which is 6.

30 divided by 6 is 5 and 36 divided by 6 is 6.  So uncle john can plant 5 lemon trees and 6 lime trees each row. That would make 6 rows of lemon trees and 6 rows of lime trees.

Brainliest pls if it is correct!

Answer: 32

Step-by-step explanation:

Since \(\overline{FG} \parallel \overline{AC}\), we know that by the corresponding angles theorem, \(\angle BFG \cong \angle BAC\) and \(\angle BGF \cong \angle BCA\).

Thus, \(\triangle BFG \sim \triangle BAC\) by AA.

It follows that since corresponding sides of similar triangles are proportional,

\(\frac{36+90}{90}=\frac{CG+80}{80}\\ \\\frac{126}{90}=\frac{CG+80}{80}\\\left(\frac{126}{90} \right)(80)=CG+80\\112=CG+80\\CG=\boxed{32}\)

Answer:

\(f(x)=-(x+3)^2\)

Step-by-step explanation:

The parent function is f(x) = x^2.

The green function is moved 3 units to the left. This means that the function changes like this:

The green function is also reflected over the x-axis.

Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)

So, we put a negative on the outside.

\((x+3)^2\) --> \(-(x+3)^2\)

The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.

The function is also not stretched or shrunk.

So, the equation of the green function is:

\(f(x)=-(x+3)^2\)

Answer:

i believe the answer is 142.42 in²

Step-by-step explanation:

what i did was 'separate' the cone and cylinder-

so the volume of cylinder formula is-

v=πr²h

and the volume for a cone is-

v=πr²h/3

now let us fill in the formulas with the information that we have-

v=π*2²*10=125.66

v=π*2²*4=16.76

now let us add the sums together-

125.66+16.76=142.42 in²

good luck :)

i hope this helps

**please let me know if this is incorrect/not what you're looking for or both**

have a nice day!

Answer:

80 cm²

Step-by-step explanation:

Let's break down the composite shape into two parts. (Image attached)

⇒ The side length of "a" is 4 cm.

⇒ The side length of "b" is 8 cm.

First, let's find the area of square "a". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (4)² = Area of "a"

⇒ (4)(4) = Area of "a"

⇒ 16 cm² = Area of "a"

Next, find the area of square "b". Keep in mind that the area of a square is the side multiplied by itself.

⇒ (Side)² = A

⇒ (8)² = Area of "b"

⇒ (8)(8) = Area of "b"

⇒ 64 cm² = Area of "b"

Finally, let's sum up the area of square "a" and "b" to find the area of the composite shape.

⇒ Area of composite shape = Area of "a" + Area of "b"

⇒ Area of composite shape = 16 + 64

⇒ Area of composite shape = 80 cm²

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

6n=48

Step-by-step explanation:

product means multiplication

6×n=48

6n=48

An equation that shows this relationship is: A. 6n = 48.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The product of 6 and a number is 48," we can logically deduce the following algebraic equation;

6 × n = 48

6n = 48

n = 48/6

n = 8.

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Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Answer: Perpendicular

y = 5 is a horizontal line through 5 on the y axis

x = -1 is a vertical line through -1 on the x axis

(a)  75% stocks of B is large tree diagram is given below

(b) Probability of a tin chosen at random from the stock will be a small size is 29%.

(c) Probability of a small tin chosen at random from the stock will be of brand A is 51.7%.

(a) \(A = \frac{60}{40} = 150\%\)

\(B = 60\%\)

\(S_A = 25/35 = 71.42\%\)

\(S_B = 25\%\)

\(L_A = 75/65 = 115\%\)

\(L_B = 75\%\)

Refer attached, for tree diagram.

(b) \(P(S) = P(A) \times P(S_A) \times P(B) \times P(S_B)\)

\(= 60\% \times 25\% \times 40\% \times 35\%\)

\(= 29\%\)

(c) \(P(A|S) = \frac{P(A) \times P(S_A)}{P(S)}\)

\(= \frac{60\% \times 25\%}{29\%}\)

\(= 51.7 \%\)

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Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

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Answer:

10

Step-by-step explanation:

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)