it takes Zoe 12.5 minutes to swim 20 laps around the pool. what is Zoes’s unit rate

Answer: y = 7, y = -1

Step-by-step explanation:

Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.

[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

Answer:

3r = 35

Step-by-step explanation:

Margaret goes to the country fair with $35.00

Each rides cost at the fair = $3.00

Let she can take number of rides = r

The cost of rides = 3r

She has $35 so the equation will be

3r = 35

r =  [tex]\frac{35}{3}[/tex]

r =  [tex]11\frac{2}{3}[/tex]

Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00

So she has left $2.00 with her.

Answer:

x = 7.25

Step-by-step explanation:

First you must try to get the x by itself with the 4, so, you have to subtract 5 from both sides so that the five is no longer on the side of the variable. Once you do this the equation becomes 4x = 29. Then you have to get x by itself so you then have to divide the 4 on both sides and the answer it then x = 7.25

Answer:

a

Step-by-step explanation:

i just took this

Answer:

Four

Step-by-step explanatio

Materials + installation = $192.49

-Materials                       =   132.49

Installation                    = $ 60.00

Installation cost = 1 skateboard/$15

No. of skateboards = 60.00 × 1/15

No. of skateboards = 4

Four skateboards will be repaired.

Answer:

The point ( 0,-1) is a solution.

Step-by-step explanation:

y<= (x+1) (x+5)

y>= (x-1)^2 -6

See attached graph.

To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.

y<= (x+1) (x+5)

-1 <= (0+1) (0+5)

-1<= 1*5

-1 <=5

True

y>= (x-1)^2 -6

-1 >= (-1)^2 -6

-1 >= 1-6

-1 >=-5

True

The point is a solution

a. 14, 18, 22, 26.... It is +4

b. 2,430, 7,290, 21,870..... It is x3

c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.

Hope this helps!

[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]

Answer:

-1/2

Step-by-step explanation:

Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.

I hope that helps u out!!

Good luck! :)

Answer:

-1/2

Step-by-step explanation:

Grab a graphing calculator and enter the two points into STAT.

Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer

:)

Final answer:

The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.

Explanation:

Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.

Answer:

Step-by-step explanation:

by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.

Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.

The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.

For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.

Thus, the correct statement to the student's question is option a) True.

Answer:

$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40

Answer:

2

Step-by-step explanation:

PEMDAS is the order of operations.

There are no parenthesis, so we can ignore that.

Same with exponents, there arent any in this equation.

MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2

Our present equation is 6+2-3x2

Now, we multiply 3 by 2.

Our present equation is now 6+2-6

Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.

8-6

Now subtract.

Our answer is 2.

Hope this helps! (Please give brainliest I just need one more!)

Answer:

n ≤ 4

Step-by-step explanation:

-3n + 4 ≥ -8.

Subtract 4 from each side

-3n + 4-4   ≥ -8-4

-3n   ≥ -12

Divide by -3 on each side, remembering to flip the inequality

-3n/-3 ≤ -12/-3

n≤4

-3n + 4 ≥ -8         Subtract 4 on both sides

-3n + 4 - 4 ≥ - 8 - 4

-3n ≥ - 12        Divide -3 on both sides to get "n" by itself

n ≤ 4    (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))

The 2nd option is your answer

Answer:

x = 18

Step-by-step explanation:

multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.

Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6

3 × 6 = 18 ⇒ x = 18

Answer:

6,561 = 3h

Step-by-step explanation:

The equation B) [tex]\( 6,561 = 3^h \)[/tex] determines the number of hours, c[tex]\( h \)[/tex], for the algae population to reach 6,561 blooms.

1. Identify the exponential growth formula:

[tex]\[ N = N_0 \cdot r^h \][/tex]

2. Define the given variables:

[tex]- \( N \):[/tex] Final number of algae blooms = 6,561

[tex]- \( N_0 \):[/tex] Initial number of algae blooms = 1

[tex]- \( r \):[/tex] Growth rate = 3 (since the population triples every hour)

[tex]- \( h \)[/tex]: Number of hours (this is what we need to find)

3. Substitute the given values into the formula:

[tex]\[ 6,561 = 1 \cdot 3^h \][/tex]

4. Simplify the equation:

[tex]\[ 6,561 = 3^h \][/tex]

5. Result:

  The equation B) [tex]\( 6,561 = 3^h \)[/tex] can be used to determine the number of hours, [tex]\( h \)[/tex], it will take for the algae population to reach 6,561 blooms.

Complete Question:

Answer:

x=22

Step-by-step explanation:

The exterior angle is the sum of the 2 opposite interior angles of a triangle

6x+1 = 79+2x+10

Combine like terms

6x+1 = 89+2x

Subtract 2x from each side

6x-2x+1= 2x-2x+89

4x+1 = 89

Subtract 1 from each side

4x+1-1 =89-1

4x = 88

Divide by 4

4x/4 = 88/4

x =22

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]

∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]

∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]

∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]

∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]

∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

Answer:The 1st and the 5th tables represent the same function!!!!!!!

Answer: B

Step-by-step explanation:

1) First find the weight of the elephant: 1.1 * 10^4 = 11,000

2) Then find the weight of the giraffe: 2.1 * 10^3 = 2,100

3) Then subtract the weight of the giraffe from the weight of the elephant

11,000 - 2,100 = 8,900

4) And there is your answer 8.9 * 10^3 = 8,900

It is found that elephant weighs 9,000 more lb than the giraffe.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Given that an elephant weighs 1.1  x 10⁴ and a giraffe weighs 2.1 x 10³. The weight will be estimated as below;

1.1  x 10⁴ = 11000 lb

2.1 x 10³ = 2100 lb

The difference in the weight of an elephant and the Giraffe ;

D = 11000 -2100= 9000 lb

Hence, an elephant weighs 9,000 more lb than the giraffe.

To know more about an expression follow;

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Answer:

Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺

Answer:

A

Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.

And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.

So the scale factor of the actual farm to the photo is A that is 1 to 50.

The scale factor of the actual farm to the photo is 1 to 50.

To determine the scale factor of the actual farm to the photo, we can use the given information that 2 centimeters in the photo corresponds to 100 meters in actual height. Since the scale factor relates the lengths in the photo to the actual heights, we need to find the ratio of the length in the photo to the corresponding actual height. In this case, the scale factor is 2 centimeters / 100 meters, which simplifies to 1 centimeter / 50 meters. Therefore, the scale factor of the actual farm to the photo is 1 to 50.

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Answer:

I believe it would be 7.8

Step-by-step explanation:

Answer:

7.78 (apex) :)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

There are 4 cards in a standard deck. So 52-4 is 48. 48 cards are not aces then.  So the ratio is 48 to 52. Which simplifies to 12 to 13. Otherwise known as 12/13

Answer: The first box would have the value 504, while the second box has the value 84

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

Work Shown:

nPr = (n!)/(n-r)!

9P3 = (9!)/(9-3)!

9P3 = (9*8*7*6!)/(6!)

9P3 = 9*8*7

9P3 = 504

--------

nCr = (nPr)/(r!)

9C3 = (9P3)/(3!)

9C3 = (504)/(3*2*1)

9C3 = 504/6

9C3 = 84

note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.

The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.

In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.

|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.

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x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.

Answer:

If you don't want to read all of that the answer is:

A- He substituted 80 for x instead of y.

Step-by-step explanation:

I just did it on Edge 2020 and got it right...

the second time

Answer:

PN = 70

Step-by-step explanation:

using the property that the diagonals bisect each other, then

PK = PN

5x = x² - 14 ( rearrange into standard form )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

but x > 0 ⇒ x = 7

PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70