Which one is it?

Question: Find the ratio of the width to the length of the rectangular swimming pool sketched below.

What’s given to me:
Width=5.5 yards
Length=7.5 yards

Answers are:
A) 11/24 yards
B) 2.75/15 yards
C) 15/11 yards
D) 11/15 yards

The solution is: Area of actual Patio is:  170 ft²

Given:

Patio drawing of 4.25 in by 2.5 in

Scale of Patio to its drawing = 4ft to 1 in

Requires:

Area of actual Patio

SOLUTION:

Area of actual Patio = area of a rectangle = length × width

Given a scale drawing of 4ft to 1 in, therefore:

Length of actual Patio = 4.25 × 4 = 17 ft

Width of actual Patio = 2.5 × 4 = 10 ft

Therefore:

Area of actual Patio = 17 ft × 10 ft = 170 ft²

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complete question:

A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the area of the actual patio?

[tex]\dfrac{p+3}{p^2+7p+10}=\dfrac{p+3}{p^2+5p+2p+10}=\dfrac{p+3}{p(p+5)+2(p+5)}=\dfrac{p+3}{(p+2)(p+5)}\\\\\dfrac{p+5}{p^2+5p+6}=\dfrac{p+5}{p^2+3p+2p+6}=\dfrac{p+5}{p(p+3)+2(p+3)}=\dfrac{p+5}{(p+3)(p+2)}\\\\\text{Lowest Common Denominator of}\ \dfrac{p+3}{p^2+7p+10}\ \text{and}\ \dfrac{p+5}{p^2+5p+6}\\\\\text{is}\ (p+5)(p+2)(p+3)\to\boxed{A.}[/tex]

Final answer:

There are 1,320 possible ways to distribute the gold, silver, and bronze medals among twelve athletes with no ties.

Explanation:

The student has asked how many possible ways three medals can be distributed among twelve athletes, assuming there are no ties. This can be calculated using permutations since the order of medals (gold, silver, bronze) matters and each medal can only be given once.

For the gold medal, there are 12 potential athletes, for the silver there are 11 remaining athletes (since one has already received gold), and for the bronze, there are 10 athletes left. Therefore, the number of possible ways to distribute the three medals is:

12 (options for gold) × 11 (options for silver) × 10 (options for bronze) = 1,320 possible ways.

Answer:

19 minutes.

Step-by-step explanation:

55-36=19.

For this case we have to indicate how much time the brownies are needed to bake, knowing that 55 minutes are given and Teresa reviewed them after 36 minutes.

For this we subtract:

[tex]55 \ minutes-36 \ minutes = 19 \ minutes[/tex]

So brownies have 19 minutes to bake

Answer:

19 minutes

Answer: I believe the answer is C

Step-by-step explanation:

Answer: x=-13

Step-by-step explanation:

X= 65/5

X=-13

Checked work .

-5x=65

-5x-13=65

65=65

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{7}{9}[/tex] × [tex]\frac{3}{4}[/tex] × [tex]\frac{2}{7}[/tex]

the 7 on the numerator/ denominator cancel to 1

the 3 and 9 cancel ( 3 → 1 and 9 → 3 )

the 2 and 4 cancel ( 2 → 1 and 4 → 2 )

= [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{1}[/tex]

multiply the remaining values on the numerators/ denominators

= [tex]\frac{1(1)(1)}{3(2)(1)}[/tex] = [tex]\frac{1}{6}[/tex]

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of this equation: A. y= (x + 8)(x + 3)

In Geometry, a factored form is a type of quadratic equation that is typically written as the product of two (2) linear factors and a constant;

f(x) = a(x - r)(x - r)

a is the leading coefficient.

r is the roots or x-intercets.

Based on the information provided, we can logically deduce the following quadratic function;

[tex]y=x^2+11x+24[/tex]

By factorizing the quadratic function above completely, we have the following;

[tex]y=x^2+11x+24\\\\y=x^2+8x+3x+24\\\\y=x(x+8)+3(x+8)\\\\y=(x+8)(x+3)[/tex]

Complete Question:

The graph of [tex]y=x^2+11x+24[/tex] is equivalent to the graph of which equation?

y= (x + 8)(x + 3)

y = (x + 4)(x + 6)

y= (x + 9)(x+2)

y = (x + 7)(x + 4)

Answer:

1/3 is your answer

Step-by-step explanation:

Note that in the slope intercept form, the equation looks like: y = mx + b

Isolate the y. First, subtract 3x from both sides

3x (-3x) - 9y = (-3x) + 4

-9y = -3x + 4

Next, to fully isolate the y, divide - 9 from both siedes

(-9y)/(-9) = (-3x + 4)/(-9)

y = (-3x + 4)/-9

Simplify

y = (1/3)x - 4/9

You're slope of the line (m in y = mx + b) is 1/3

~

Answer:

y-12= -3(x-6) (point slope form)

y = -3x + 30  ( slope intercept form)

Initial delivery time = 30 minutes

delivery time decreases 3 minutes per day

Step-by-step explanation:

To find equation of line we pick two points from the graph

(3,21)  and (6,12)

Point slope form of a line is y-y1= m(x-x1)

m is the slope and (x1,y1) is the point on graph

Lets find out slope m

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{12-21}{6-3} =-3[/tex]

(x1,y1) is (6,12)

Point slope form of a line is y-y1= m(x-x1)

y-12= -3(x-6) (point slope form)

Now we solve for y to get slope intercept form

y-12 = -3x +18

Add 12 on both sides

y = -3x + 30  ( slope intercept form)

(b) To find initial time we plug in 0 for x

y = -3x + 30

y= -3(0) + 30

y=30

Initial delivery time = 30 minutes

Slope is the delivery time decreases per day

We got slope m = -3

So delivery time decreases 3 minutes per day

Answer:

well basically  y-12= -3(x-6) (point slope form)

y = -3x + 30  ( slope intercept form)

Initial delivery time = 30 minutes

delivery time decreases 3 minutes per day

Step-by-step explanation:

To find equation of line we pick two points from the graph

(3,21)  and (6,12)

Point slope form of a line is y-y1= m(x-x1)

m is the slope and (x1,y1) is the point on graph

Lets find out slope m

(x1,y1) is (6,12)

Point slope form of a line is y-y1= m(x-x1)

y-12= -3(x-6) (point slope form)

Now we solve for y to get slope intercept form

y-12 = -3x +18

Add 12 on both sides

y = -3x + 30  ( slope intercept form)

(b) To find initial time we plug in 0 for x

y = -3x + 30

y= -3(0) + 30

y=30

Initial delivery time = 30 minutes

Slope is the delivery time decreases per day

We got slope m = -3

So now we can say that the delivery time decreases 3 minutes per day! Hope this helps :)

Step-by-step explanation:

Answer: D) x = 8

Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.

Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.

59 x 8 = 472 + 236 = 708.

56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.

Hope this helped!

Plz mark brainliest!

Answer:

x>8

Step-by-step explanation:

I only answered so the other guy could get brainliest.

To find the distance the hula hoop rolls in 4 full rotations, we calculate the circumference as 2πr and then multiply by 4. The total distance is then rounded to the nearest centimeter, resulting in 880 cm.

The question asks us to calculate the distance a hula hoop travels in 4 full rotations given its radius. The distance traveled in one rotation is equal to the circumference of the hoop.

To find the circumference, we use the formula C = 2πr, where r is the radius. Since the radius is given as 35 cm, the circumference is 2π×35 cm. To find the total distance for 4 rotations, we multiply the circumference by 4. This gives us 4×2π×35 cm. Using the approximate value of π (3.1416), we can calculate the distance, and then round it to the nearest centimeter.

Circumference C = 2π×35 cm = 219.91 cm

Total distance for 4 rotations = 4×C = 4×219.91 cm = 879.64 cm

Rounded to the nearest centimeter: 880 cm

Answer:

I will but there are no problems/questions shown

Step-by-step explanation:

the value of the expression is approximately - 25.4349.

To find the value of the expression (- 3)³ + 6⁽³/¹²⁾, we follow the order of operations. First, we evaluate the exponentiation:

(- 3)³ = (- 3) × (- 3) × (- 3) = -27

Next, we simplify the second term:

6⁽³/¹²⁾ = 6⁽¹/⁴⁾ = √( √6) ≈ 1.5651

Finally, we add the two results:

(- 3)³ + 6⁽³/¹²⁾ = - 27 + 1.5651 ≈ - 25.4349

So, the value of the expression is approximately - 25.4349. The explanation highlights the steps of evaluating the exponentiation and simplifying the second term before performing the addition to get the final result.

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[tex]\sqrt{9*4}= \sqrt{36} =6[/tex]

A.) [tex]\sqrt{9}*\sqrt{4}=3*2=6[/tex]

B.) 18

C.) [tex]\sqrt{\frac{9}{4}}=\frac{3}{2}[/tex]

D.) 36

Your answer is A

The multiplication of 9 • 4 equals 36, which is the result of adding 9 to itself 4 times.

The question 'which of the following is equal to 9 • 4?' is asking us to perform a multiplication operation. In Mathematics, when we multiply two numbers, we are essentially adding one of the numbers to itself the number of times indicated by the other number. Therefore, 9 multiplied by 4, which is written as 9 • 4, is equal to adding 9 to itself 4 times: 9 + 9 + 9 + 9.

Let's do the math:

So, 9 • 4 equals 36. This is a basic multiplication concept that is foundational in math.

34.5 kilometers is equal to 21.41 miles.

To convert kilometers to miles, you can use the conversion factor 1 mile = 1.609 kilometers. So, to convert 34.5 kilometers to miles, you would multiply 34.5 by the conversion factor:

34.5 kilometers × 1 mile/1.609 kilometers = 21.41 miles

Therefore, 34.5 kilometers is equal to 21.41 miles.

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So for this, we will be setting up a system of equations with the information we have:

[tex]x+y=13\ \textsf{"The sum of two numbers is 13."}\\2x-3y=1\ \textsf{"Two times the first number minus three times the second number is 1."}[/tex]

Now we have our system of equations set up. Next, I will be using the substitution method to solve this system. So firstly, subtract y on both sides of the first equation:

[tex]x=13-y\\2x-3y=1[/tex]

Now, substitute x for (13 - y) in the second equation and solve for y as such:

[tex]2(13-y)-3y=1\\26-2y-3y=1\\26-5y=1\\-5y=-25\\y=5[/tex]

Now that we have the value of y, substitute it into either equation to solve for x:

[tex]x+5=13\\x=8\\\\2x-3(5)=1\\2x-15=1\\2x=16\\x=8[/tex]

In short, the first number (x) is 8 and the second number (y) is 5.

Answer:

Distributive property

Step-by-step explanation:

12(x+4)

We would use the Distributive property to get to

12x+48

Distributive Property

x(a+b) = ax + bx

Answer:

Step-by-step explanation:

The answer to your question is 2/5,0.4,4/10,

Answer:

The answer is 198.

Step-by-step explanation:

First you need to know how much is a batch of cookies which is 60. Since she made 3 batches that means you will need to multiply 3 by 60, which will give you 180 cookies. Next you will need to add 2 to 10 because thats how much were took. That equals 12. Subtract 12 from 180 and that will give you 168. Last but not least you will need to add 30 because that is half the batch of cookies her neighbor gave to her. So 168 plus 30 equals 198.

Answer:

198

Step-by-step explanation:

source = trust me bro

Answer:

A Jones has the best plus minus record

Step-by-step explanation:

The player wants the most "negative" score, which means he was one the ice when his team scored the most points and off the ice when his team was scored upon.

Answer:

11. a. See below. b. E. Simpson

Step-by-step explanation:

11. a. Graphing on the number line

You did a great job on this.

I just used red dots to make them more visible.

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

11. b. Best plus-minus record

The player with the best plus-minus record is E. Simpson.  

His plus-minus record of +9 means that his team has scored more often when he is on the ice than any other player.

Final answer:

The center of a data set can be measured using the mean or the median. In this case, the Rome data center is best described by the mean, while the New York data center is best described by the median.

Explanation:

The center of a data set can be measured using two common ways: the mean and the median. The mean is found by adding up all the values and dividing by the total number of observations. The median is the middle value, or the number that separates the data into two equal halves. It is generally a better measure when there are extreme values or outliers.

In this case, based on the information provided, the Rome data center is best described by the mean, while the New York data center is best described by the median.

When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.

For example:

[tex]x^{-2}[/tex] or [tex]\frac{x^{-2}}{1} =\frac{1}{x^2}[/tex]

[tex]\frac{1}{y^{-3}} =\frac{y^3}{1}[/tex] or y³

f(-2) This means that x is -2, so you can plug in -2 for "x" in the equation

[tex]f(x)=3^x[/tex]

[tex]f(-2)=3^{-2}[/tex]

[tex]f(-2)=\frac{1}{3^2}[/tex]

[tex]f(-2)=\frac{1}{9}[/tex]

Your answer is D

The value of the function f(-2) will be 1/9

A mathematical relationship from a set of inputs to a set of outputs is called a function.

The given function is f(x) = [tex]3^{x}[/tex]

∴ f(-2) will be = [tex]3^{-2}[/tex]

So,  [tex]3^{-2}[/tex] will be equal to 1/9

∴ The value of f(-2) will be 1/9

Option D is correct.

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Answer:

3(2y+1)

Step-by-step explanation:

First we need to find the factors of each term

6y = 2*3*y

3 = 3*1

The greatest common factor is 3.  Take that out and what remains goes inside the parentheses

3(2y+1)

Answer: 8?

Step-by-step explanation:

Answer:

yes

6r=18

Step-by-step explanation:

Hey there, we are given quite a lot of information in this problem. First of all, let's make an equation.

y = x - 22

where y = student's age

where x = instructor's age

this equation is correct because x(instructor) - 22 will yield the student's age (y).

If the instructor were 44 years old, the student would be 22 years old.

y = 44 - 22

y = 22

If the instructor were 66 years old, the student would be 44 years old.

y = 66 - 22

y = 44

Question

Sally skates 2/5 in 1/2 hour. How far does she skate in 2 hours

Answer:

Step-by-step explanation:

2/5 in 1/2 hour = 4/5 in 1 hour

4/5 * 2 = 8/5 (your answer)

or

2/5 * 2 * 2 =

8/5