Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. How many laps does she swim on Monday?

First add all the numbers in the data:

15.8 + 14.9 + 16.7 + 17.6 + 13.4 = 78.4

Divide by how many numbers are in the data set there is 5 so:

78.4 ÷ 5 = 15.7

The mean is 15.7

Answer:

7

Step-by-step explanation:

assign the amount of weeks to x. then we write the equation 160+3x=195-2x which is 7

The equation that can be used to find the number of weeks it will take them to weigh the same amount is 160 + 3w = 195 - 2w , and it will take them 7 weeks to weigh the same amount.

Let's take w as the weight,

Nick's weight after w weeks: 160 + 3w

Adam's weight after w weeks: 195 - 2w

Since they will weigh the same after w weeks, you can set up the equation:

160 + 3w = 195 - 2w

Now, solve for w:

Combine like terms:

3w + 2w = 195 - 160

5w = 35

Divide both sides by 5 to isolate w:

w = 35 / 5

w = 7

So, it will take them 7 weeks to weigh the same amount.

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the answer is $29 dollars! ! ! ! ! !  

The overall change to theo's account was that he deposited 29$ to the account. Hope this helps :)

Coordinates of C: (-5,-1)

Coordinates of D: (0,3)

Distance formula:

[tex]d = \sqrt({x2 - x1)^2 + (y2 - y1)^2}[/tex]

--> [tex]\sqrt{(0 - (-5))^2 + (3 - (-1))^2}[/tex]

---> [tex]\sqrt{5^2 + 4^2}[/tex]

----> [tex]\sqrt{25 + 16} = \sqrt{41}[/tex]

The distance rounded to the nearest tenth is 6.40 units.

The answer is D the last graph.

The required graph shows a dilation in graph D. Option D is correct.

Following the given case, 4 graphs are shown we have to determine the graph showing the dilation of concentric triangles.

Dilation of a triangle refers to the transformation that changes the size of the triangle while preserving its shape. It involves scaling the triangle by a factor, either enlarging or reducing its dimensions. The dilation is centered at a fixed point called the center of dilation.

While going through the figure, graphs A, B, and C are none dilated triangles because the triangles show dissimilarities. But D shows the dilation of the triangle because the two triangles are similar.

Thus, the required graph shows a dilation in graph D. Option D is correct.

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the vertex is (-6,-28). let me know if i'm wrong

24 rounds to 25 and 80 stays the same

Answer:

She tutors 8 students

Step-by-step explanation:

She is at the library for 6 hours. One hour has 60 minutes so she is at the library for [tex]6*60=360[/tex]  minutes.

She helps each student for [tex]3/4[/tex] of an hour, that means [tex]3/4*60=45[/tex] minutes.

So now we have to calculate how many times does 45 minutes fits in 360 minutes (how many students she can help in 6 hours). That is [tex]360/45=8[/tex] students.

To determine the fraction of the floor covered, we multiply the fraction of the length covered (3/4) by the fraction of the width covered (3/5), resulting in a covered area of 9/20 of the floor space.

To find the fraction of the floor that has been covered by tile, we need to multiply the fraction of the length covered by the fraction of the width covered. If an area of 3/4 of the length and 3/5 of the width is covered, then we perform the multiplication: (3/4) x (3/5) = 9/20.

This means that the fraction of the floor covered with tile is 9/20. This fraction represents the percentage of the entire floor that is tiled, which in this case indicates that less than half of the room is covered because 9/20 is less than 1/2.

390-35=355

355-10w

355/10=35.5

355-10(35.5)

35 and a 1/2 weeks

36 weeks to have the full amount needed

Answer:

36th weeks

Step-by-step explanation:

Kelsey has saved $35 to buy a video game worth $390.

She plans to save additional $10 per week.

Let w represents number of week.

Let s represents total saving in w weeks.

Addition saving per week = $10

In w weeks saving  = 10w

Previous saving amount = $35

Total saving in w week, s = 35 + 10w

Expression which represents total saving in w weeks

s = 35 + 10w

Now find number of weeks to save $390

So, put s=390 and solve for w

35 + 10w = 390

        10w = 390 - 35

           w = 355÷10

          w = 35.5

Hence, Kelsey will save $390 in 36th weeks.

The standard for of this equation is x – y = 0

Firstly, options A and D are not in standard form, so they are not options.

To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).

x – y = 0

2 - 2 = 0

0 = 0

This is true for option C. Therefore, it is correct.

Answer:

C.

Step-by-step explanation:

Edgen 2023

Answer:

l

Step-by-step explanation:

Answer:

1.  ∠9 = 115°

2.  ∠10 = 65°

3.  ∠8 = 70°

4.  ∠3 = 70°

5. ∠4 = 110°

6. ∠11 = 70°

7. ∠5 = 65°

8. ∠14 = 115°

Step-by-step explanation:

Given that, two parallel lines and two transversal lines.

also given that, ∠1 = 115°   &    ∠12 = 110°

We know that, straight angle  = 180°

∠1 + ∠2 = 180°

∠2 = 180 - 115

∠2 = 65°

∠2 & ∠5 are vertical angles. So, they are same

∠2 = ∠5

∠5 = 65°

Similarly, ∠1 = ∠6 (vertical angles)

∠6 = 110°

Now given that, ∠12 = 110°

∠11 + ∠12 = 180°

∠11  = 180 -110

∠11 = 70°

∠11  &  ∠16 are vertical angles.

∠11  = 16

∠16 = 70°

∠12   =   ∠15  (vertical angle)

∠15  = 110°

∠4  & 12 are Corresponding Angles

∠12  = ∠4

∠4 = 110°

∠3 = 180 - ∠4 = 180 - 110

∠3 = 70°

∠7 = ∠4   (vertical angle)

∠7 = 110°

∠3 = ∠8 (vertical angle)

∠8 = 70°

∠1 = ∠9    (Corresponding Angles )

∠9 = 115°

∠10 = ∠2  (Corresponding Angles )

∠10 = 65°

∠13 = ∠10  (vertical angle)

∠13 = 65°

∠14 = ∠9  (vertical angle)

∠14 = 115°

9.  ∠7 and ∠2  no relation between them.

10. ∠6 and ∠14  are corresponding angles.

11. ∠13 and ∠12 no relation.

12. ∠7 and ∠11 are Consecutive Interior Angles

13.  ∠1 and ∠8 no relation.

Answer:

this box will show you the answer

Step-by-step explanation:

Thank Natalie222 for the answer its  6x10 not 6x3 :3

Answer:

y + 6 = (x -3)^2

Step-by-step explanation:

Let's use the general form of the vertex equation of a quadratic:  y - k = a(x - h)^2.

Subst. 10 for y, 7 for x, -6 for k and 3 for h.  Then, 10 + 6 = a(7 - 3)^2, or

16 = a(4)^2, or 16 = a(16).  Thus, a = 1, and the equation of this particular parabola is:

y + 6 = (x -3)^2

Given a quadratic function with a vertex at (3,-6) and a point (7,10), by substituting the values into the equation, we find that another point on the graph is (4,-5).

The vertex form of a quadratic function is [tex]\(y = a(x - h)^2 + k\)[/tex], where (h, k) is the vertex of the parabola. In this case, the vertex is (3, -6), so the equation is [tex]\(y = a(x - 3)^2 - 6\).[/tex]

You're also given a point on the graph, which is (7, 10). You can use this point to find the value of a.

Substitute the point's coordinates into the equation and solve for a:

[tex]\(10 = a(7 - 3)^2 - 6\)[/tex]

[tex]\(10 = a(4^2) - 6\)[/tex]

10 = 16a - 6

Now, isolate a:

16a = 10 + 6

16a = 16

a = 1

Now that you know a = 1, you can use this information to find another point on the graph. Simply plug in a different value for x into the equation. Let's choose x = 4 for example:

[tex]\(y = 1(4 - 3)^2 - 6\)[/tex]

y = 1(1) - 6

y = 1 - 6

y = -5

So, another point on the graph is (4, -5).

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[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{y})\qquad(\stackrel{x_2}{-11}~,~\stackrel{y_2}{8})\\\\\\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-y}{-11-(-3)}~~=~~\stackrel{m}{-2}\\\\\\\cfrac{8-y}{-11+3}=-2\implies \cfrac{8-y}{-8}=-2\implies 8-y=16\implies -8=y[/tex]

Answer:

A and D

Step-by-step explanation:

Only Answers A and D are equivalent to the given expression.

In A we see the variable 'x' show up three times, and so we write 3x + 2.

In D, after performing the indicated multiplication, we have 2x + 2 + x, which condenses to 3x + 2.

        A mathematical expression is a finite arrangement of symbols and variables following a rule relating to the set of the finite variables.

From the given information:

Also, we can have it has: 2(x+1) +x.

This is because if we simplify the above expression, we will arrive at 3x +2.

Let's solve:

The first thing we will want to do is to open the brackets

By rearrangement of like terms, we have:

        Therefore, we can conclude that the mathematical expressions that are equivalent to x + x + x +2 are in Option A and D.

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The vertical angles theorem states that vertical angles are congruent to each other. Since angles E and F are vertical angles, this means you can make them equal to each other in an equation.

m∠E = m∠F

17x + 1 = 20x - 14

Subtract 20x from both sides.

-3x + 1 = -14

Subtract 1 from both sides.

-3x = -15

Divide both sides by -3.

x = 5

Substitute 5 for x in m∠F (20x - 14).

20(5) - 14 = 86

m∠F = 86°

Answer: 32π cm2

Step-by-step explanation:

Answer:

B: 32π cm2

Step-by-step explanation:

On edg

Joanne can distribute her campaign materials to 4 classrooms. Each classroom would get 5 flyers and 4 buttons.

The subject of this question is Mathematics, specifically it deals with the topic of finding the greatest common divisor (GCD). In this scenario, Joanne has 20 flyers and 16 buttons she wants to distribute evenly amongst classrooms. The greatest number of classrooms she can distribute materials to is found by determining the GCD of 20 (the number of flyers) and 16 (the number of buttons). The GCD of 20 and 16 is 4. Therefore, Joanne can distribute her campaign materials to a maximum of 4 classrooms without any materials being left over. It is important to note that, in each classroom, there would be 5 (20/4) flyers and 4 (16/4) buttons.

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The answer to your question is,

5/7.

-Mabel <3

we are given

[tex]y=cos^{-1}(x-\pi)[/tex]

Since, we have to find inverse function

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

[tex]x=cos^{-1}(y-\pi)[/tex]

step-3: Solve for y

We can take cos on both sides

[tex]cos(x)=cos(cos^{-1}(y-\pi))[/tex]

we can simplify it

[tex]cos(x)=y-\pi[/tex]

now, we can solve for y

[tex]cos(x)+\pi=y-\pi+\pi[/tex]

[tex]cos(x)+\pi=y[/tex]

[tex]y=\pi +cos(x)[/tex]..............Answer

Answer:

The answer is C

Step-by-step explanation:

8, 15 - 7 = 8 thats correct

If you mean -17 times -6 then the answer is a positive 102

Answers:

Angle A = 104 degrees

Angle B = 76 degrees

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

Supplementary angles add to 180 degrees.

A+B = 180

(3x-7)+(2x+2) = 180

5x-5 = 180

5x-5+5 = 180+5 ... add 5 to both sides

5x = 185

5x/5 = 185/5 .... divide both sides by 5

x = 37

Use x =37 to find

Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees

Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees

As a check: A+B = 104+76 = 180 so that helps confirm the answer

The measure of supplementary angle ∠A is 107 degrees and the measure of supplementary angle ∠B is 76 degrees. We get these values by setting up an equation based on the fact that the sum of the measures of two supplementary angles is 180 degrees, solving for x, and then substituting x back into the original equations.

In this problem, we're asked to find the values of the supplementary angles ∠A and ∠B. The measure of a supplementary angle is based on the concept that the sum of the measures of two supplementary angles is 180 degrees. We can form an equation since we know m∠A + m∠B = 180°. This translates to (3x – 7)° + (2x + 2)° = 180°. To solve the equation, consolidate like terms, so 5x - 5 = 180. Add 5 to both sides of the equation to find that 5x = 185. Dividing both sides of the equation by 5, we find that x = 37. Substitute x = 37 back into the original equations for m∠A and m∠B to find m∠A = 3*37 - 7 = 107 degrees, and m∠B = 2*37 + 2 = 76 degrees.

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Answer(a):

We have been given two functions f(x)=100+3x and g(x)=8x.

Now we need to decide which one of them is cost function and which one is the revenue function.

We know that production usually involves fixed cost for operating the production so usually that is of the form y=mx+b.

Hence f(x)=100+3x is the cost function

Answer(b):

Then g(x)=8x is the revenue function.

Answer(c):

We know that profit function is the difference of revenue and cost

Profit = Revenue - Cost

P(x)= g(x) - f(x) =8x-(100+3x)

P(x)= 8x-100-3x

P(x)= 5x-100

Hence P(x)= 5x-100 is the profit function.

Answer(d):

P(x)= 5x-100 is the profit function.

you will

have 14 rings

you will have 14 rings, because you have ten fingers, and ten plus 4 is 14.

hope it helps.