what is the prime factorization of 54

24 rounds to 25 and 80 stays the same

5 days because she reads 78 pages a day and she has 390 pages left, 78 goes into 390 5 times

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

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.

She donated

$

300

to her charity.

Explanation:

The amount

(

x

)

given in charity on

$

1200

sales at

25

%

is:

x

=

1200

×

25

100

x

=

12

00

×

25

1

00

x

=

12

×

25

x

=

300

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.

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

4 1/5

hope this helped, im better at algebra tho :)

DaMontre practiced for 60 minutes after taking a total of 1,870 shots, with an initial 70 shots before practice and 30 shots per minute during practice.

The question asks how long DaMontre practiced basketball if he took a total of 1,870 shots, with a pre-practice session of 70 shots, and during practice, he takes 30 shots a minute.

Step-by-step solution:

First, subtract the extra shots DaMontre took before practice from the total number of shots to find out how many shots were taken during practice. So, 1,870 - 70 = 1,800 shots during practice.

Thus, DaMontre practiced for 60 minutes, which is the answer to the question.

the answer is A i think

                                                  hope it helps

Answer:

Step-by-step explanation:

Given that Tony is writing a fraction equivalent to [tex]\frac{2}{7}[/tex] using the formula [tex]\frac{2}{7} *\frac{m}{n}[/tex]

Since this is equal to 2/7

we must have the value of [tex]\frac{m}{n} =1[/tex]

Hence option D is right.

Answer:

[tex]A=4r^{2}-r^{2}\pi[/tex]

Step-by-step explanation:

1. To calculate the area of the grass you must substract the area of the square and the area of the circle.

2. The area of the square is:

[tex]A1=L^2[/tex]

Where [tex]L[/tex] is one side of the square.

3. You have that:

[tex]L=2r[/tex]

4. Therefore:

[tex]A1=(2r)^{2} =4r^{2}[/tex]

5. The area of the circle is:

[tex]A2=r^{2}\pi[/tex]

6. The are of the grass is:

[tex]A=4r^{2}-r^{2}\pi[/tex]

The standard form of a linear equation in general is given by:

[tex]ax+by=c[/tex]

Now we are given the equation :

[tex]4x-\frac{2}{3}y=8[/tex]

In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.

Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.

So multiplying both sides by 3 , we have

[tex]12x-2y=24[/tex]

So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.

Answer:

a

Step-by-step explanation:

I took test on edge

To do his work that he didn't want to do.

your answer would be b becuase that is 3/6 so thats half and ou would simply it and 1/4 do the same

Answer:

you would - 1 to -7 and get -8 then divide -8 by -2 than it would be 4

Step-by-step explanation:

I like my equations to have the variable before the constant.

2g+1=-7

Subtract 1 from the left side. Remember, whatever you do on one side, you MUST do it on the other.

2g=-8

Divide 2 from BOTH sides.

g=-4

Hope this helps!

:)

Answer: 32π cm2

Step-by-step explanation:

Answer:

B: 32π cm2

Step-by-step explanation:

On edg

The equation to determine the weight of each of Carl's checked bags is 2w + 4 = 35. After solving, we find that each checked bag weighs 15.5 kg.

To solve the problem regarding Carl's baggage weight, we set up an equation. Carl has two checked bags of equal weight, let's call the weight of each bag w kilograms. He also has a backpack weighing 4 kg. According to the problem, the total weight of all his baggage is 35 kg. We can represent this situation with the following equation:

2w + 4 = 35

This equation adds the weight of the two checked bags (2w since there are two of them and they are equal in weight) and the 4 kg backpack to get the total weight of 35 kg. To find the weight of each checked bag, we can simply subtract the weight of the backpack from the total weight and then divide by two:

Therefore, the weight of each of Carl's checked bags is 15.5 kg.

1340 units²

There are 2 rectangles 25 × 12, 2 rectangles 25 × 10 and 2 rectangles 12 × 10

SA = 2(25 × 12) + 2(25 × 10) +2(12 × 10)

     = 600 + 500 + 240 = 1340 units²

Answer:

Twelve tickets cost $30.00.

Each additional ticket costs $2.50.

The table is a partial representation.

Answer:

A C D

Step-by-step explanation:

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°

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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Answer: There is 12% of last semester's college costs was spent on books.

Step-by-step explanation:

Since we have given that

Amount spent at her community college = $2300

Amount spent of that on books = $276

We need to find the percent of last semester's college costs was spent on books is given by

[tex]\dfrac{276}{2300}\times 100\\\\=\dfrac{27600}{23}\\\\=12\%[/tex]

Hence, there is 12% of last semester's college costs was spent on books.

The student spent 12% of last semester's college costs on books.

To find the percentage of last semester's college costs that was spent on books, you can use the following formula:

Percentage = (Part / Whole) * 100

In this case:

The "Part" is the amount spent on books, which is $276.

The "Whole" is the total college cost for last semester, which is $2300.

Percentage = ($276 / $2300) * 100

Percentage = (0.12) * 100

Percentage = 12%

So, the student spent 12% of last semester's college costs on books.

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each hiker gets 1 1/2

i hope this helped

Answer:

1/3 is the answer

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.

The inequality based on the information will be 0.8x + 8 ≤ 15.

Let x be the number of rides you can go on.

The total amount of money you will spend on rides is 0.8x dollars.

The total amount of money you will spend on admission, lunch, and a snack is $4 + $3 + $1 = $8.

The total amount of money you have to spend is $15.

Therefore, the inequality based on the information will be 0.8x + 8 ≤ 15.

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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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