erin ran 7 1/2 miles around the track. Each lap is 1 1/2 miles. How many laps did Erin run

Answer:

plane parallel to the circular base, not passing through the tip of the cone: circle

plane parallel to the circular base, passing through the tip of the cone: A point

plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone: an oval that becomes more elongated as the angle with the horizontal increases

plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone : an isosceles triangle

Step-by-step explanation:

Learn more about Cross Section here:

brainly.com/question/2459472

#SPJ2

Answer:

Step-by-step explanation:

[tex]3 \frac{3}{9}=\frac{3 \times 9+3}{9}=\frac{30}{9}=\frac{10}{3}\\1\frac{1}{3}=\frac{1\times 3+1}{3}=\frac{4}{3}\\Total~used=\frac{10}{3}+\frac{4}{3}=\frac{14}{3}\\Left~over=9-\frac{14}{3}=\frac{9 \times 3-14}{3}=\frac{13}{3}=4 \frac{1}{3}~gallons[/tex]

Answer: 4

Step-by-step explanation:

[tex]9-(3\frac{3}{9} + 1\frac{1}{3} )\\9-(\frac{30}{9} + \frac{4}{3})\\ 9-(\frac{10}{3}+ \frac{4}{3})\\ 9-(\frac{14}{3} )\\= \frac{(9)(3)-14}{3} \\= \frac{27-14}{3} \\=\frac{13}{3}\\ \\or\\\\4 gallons[/tex]

or

= [tex]4\frac{1}{3}[/tex]

approximately

The amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is represented by a linear graph.

The graph that represents the amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is a linear graph. This is because the revenue is directly proportional to the number of haircuts. The equation that represents this relationship is y = 15x, where y is the revenue and x is the number of haircuts.

https://brainly.com/question/33994178

#SPJ2

Answer:

acute scalene

Step-by-step explanation:

Answer:

2.5 mg

Step-by-step explanation:

We are given that

A=Initial amount=10 mg

Half life,h=8 days

We have to find the mass of radioactive isotope remains after 16 days.

t=16 days

We know that the amount of radioactive isotope after t days is given by

[tex]P(t)=A(1\frac{1}{2}^{\frac{t}{h})[/tex]

Using the formula

[tex]P(t)=10(\frac{1}{2}^{\frac{16}{8}})[/tex]

[tex]P(t)=10\times (\frac{1}{2})^2[/tex]

[tex]P(t)=2.5 mg[/tex]

Answer:

its b on edg

Step-by-step explanation:

its B I answered the question on my test and got it correct

Answer:

18

Step-by-step explanation:

Mean is the average of the data.

There is one 7.

Three 9's.

Two 10's

7+9+9+9+10+10=54

There are only 3 numbers with actual data so 6 and 8 don't matter.

54÷3=18

Answer:

Step-by-step explanation:

hello :

*   64 = 4^3   so : g(x) =  (∛4^3)^x = 4^x

*   16=4²        so :  f(x) = (√4²)^x = 4^x

the functions f(x) and g(x) are equivalent

Answer:

I believe its 15

Step-by-step explanation:

Answer for 12+7+(-4)= 15

Answer for -1.75+(-6.25)+6= -2

I hope this helps

Answer:

12a cm2

2b cm2

(6a + b) cm2

Step-by-step explanation:

The complete question is

The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.

Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.

12a cm2

2b cm2

(6a - b) cm2

(12a + 2b) cm2

(6a + b) cm2

The picture of the question in the attached figure

we know that

The area of the entire shaded  region is equal to the area of the the light and dark shading

so

step 1

Find the area of the light shading

The area is equal to the area of six congruent equilateral triangles

[tex]A_1=6a\ cm^2[/tex]

step 2

Find the area of the dark shading

The area is equal to the area of the regular hexagon

[tex]A_2=b\ cm^2[/tex]

step 3

1) Find the total area

[tex]A=A_1+A_2=(6a+b)\ cm^2[/tex]

2) Remember that the figure consists of 12 congruent equilateral triangles

so

[tex]A=12a\ cm^2[/tex]

3) The area of the light shading is the same that the area of the dark shading

so

6a=b

therefore

[tex]A=2b\ cm^2[/tex]

Answer: 1 2 5

Step-by-step explanation:

Answer:

work out the following questions

Step-by-step explanation:

a.

[tex] \frac{3}{4} \times \frac{1}{2} [/tex]

[tex] \frac{3}{8} [/tex]

Now

b.

[tex] \frac{4}{7} \times \frac{21}{40} [/tex]

Now here we can see 21 is 3 times of 7 and 40 is 10 times of 4 so

[tex] \frac{3}{10} [/tex]

Hope this helps.

Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.

Answer: The dimensions are that of a right triangle.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you can solve by checking with the Pythagorean theorem (a^2 + b^2= c^2)

24 and 45 are the legs because the hypotenuse is the largest side so they will be substituted for a and b. if c is equal to 51 then it would be a right triangle

24^2 + 45^2= c^2

576 + 2025 = c^2

2601 = c^2

51 = c

because c = 51 and 51 was the hypotenuse on the triangle previously mentioned 24 45 51 is a right triangle

Answer:

71 tadpoles

Step-by-step explanation:

Windstone rescued 54 on Friday.

Let the number rescued on Saturday =x

The number rescued on Friday is 17 less than the number he rescued on Saturday.

This is written as:

To solve for x, we add 17 to both sides of the equation

Windstone Rescued 71 tadpoles on Saturday

Answer:

71 tadpoles

Step-by-step explanation:

let 't' represent the number of tadpoles he rescued on Saturday.

According to the problem,

Windstone rescued 54 on Friday.

If the number rescued on Friday is 17 less than the number he rescued on Saturday.

The equation to find  the number of tadpoles he rescued on Saturday will be:

t-17 = 54

Further solving for 't'

t= 54+17

t= 71

Therefore, Windstone Rescued 71 tadpoles on Saturday

Answer:

  b = -1

Step-by-step explanation:

Your equation is ...

  (5^3)b -1 = 5^b -3

This is a mix of exponential and linear terms, and cannot be solved algebraically.

___

We suspect you might mean ...

  5^(3b -1) = 5^(b -3)

We can equate the exponents to find a value for b:

  3b -1 = b -3

  2b = -2 . . . . add 1-b to both sides

  b = -1 . . . . . . divide by 2

Final answer:

Situations A (40 km/hr for 3 hours), B (60 km/hr for 2 hours), and C (30 km/hr for 4 hours) represent a total distance of 120 km when applying the formula D = S * t. Situation D (25 km/hr for 5 hours) does not represent the required distance of 120 km.

Explanation:

The distance traveled can be calculated using the formula D = S * t where S is the speed and t is the total time. To find out which situations represent a total distance of 120 km, we will apply this formula to each of the given situations.

After calculating each situation, we can see that situations A, B, and C each yield a total distance of 120 km, while situation D yields a total distance of 125 km, which is not the distance we are looking for.

Answer: The portion of skiing is 36 degrees (36°)

Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)

The variables are;

Soccer - 5

Jogging - 20

Walking - 10

Skiing - 5

Football - 10

Total - 50

Therefore, the fraction that represents skiing is given as

Skiing = 5/50

Skiing = 1/10

Calculating this portion in degrees becomes,

Skiing = 1/10 x 360

Skiing = 36 degrees (36°)

Answer:

x = 36° represents the proportion of hours spent on skiing.

Step-by-step explanation:

Solution:-

- The time taken for various activities is to be represented using a pie chart.

- The individual times for various activities are given:

          Soccer : 5 hours

          Jogging : 20 hours

          Walking : 10 hours

          Skiing : 5 hours

          Football : 10 hours

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

      Total time : 50 hours

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

- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.

- So,               360° ............. Total Time = 50 hours

- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:

                      x ................. Skiing time = 5 hours

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

                     50*x = 5*360

                     x = 36°

Answer:

$73.60

Step-by-step explanation:

take 460 times .032 witch is 14.72 then times that by 5

Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

Answer:

2

Step-by-step explanation:

2

Answer:

The answer to your question is below

Step-by-step explanation:

Data

1) AB = 6   BC = 4   AE = 9  ED = ?

Use proportions to solve this problem

              AB / AE = 6/9    (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)

-Equal both proportions

                              6/9 = 10 / (9 + ED)

-Solve for ED

                             9 + ED = 10(9)/ 6

-Simplification

                             9 + ED = 90/6

                             9 + ED = 15

                                   ED = 15 - 9

-Result

                                   ED = 6

2.-   AB = 12   AC = 16  ED = 5  AE = ?

Use proportions to solve this problem

             AE / AB = AE / 12          AD/AC = (AE + 5) / 16

-Equal both proportions

                          AE/12 = (AE + 5 ) / 16

-Solve for AE

                         16AE = 12(AE + 5)

                         16AE = 12AE + 60

                         16AE -12AE = 60

                                     4AE = 60

                                       AE = 60/4

-Result

                                      AE = 15                          

Answer: 150 shots.

Step-by-step explanation: Since her three-point shot probably is 30%, we can assume that for any total of three-point shots, only 30% of them will be "correctly shot."

Here are two methods of how to find the answer, depending on how your teacher is teaching you to calculate percentages.

Method A. Proportions

Therefore, let's make a proportion. Out of 500 shots, only 30% will be made.

[tex]\frac{30}{100} =\frac{x}{500}[/tex]

Solve for x, which in a proportion, is done by cross-multiplying and then dividing.

[tex](30 * 500) / 100[/tex]

[tex]= 150[/tex]

Out of all the 500 shots, only 150 can be made by her prediction.

Method B. Simple multiplication

30% is equal to 0.3

Therefore, you multiply [tex]0.3 * 500[/tex], which you get [tex]150[/tex].

Answer:

d

Step-by-step explanation:

Answer: Andy should invest RS. 2784.19 for 12 years .

Step-by-step explanation:

Since we have given that

Amount = Rs. 5000

Time = 12 years

Rate of interest = 5%

So, We need to find the sum:

Using "Compound interest" , we get :

[tex]A=P(1+r)^t\\\\5000=P(1+0.05)^{12}\\\\5000=P(1.05)^{12}\\\\\dfrac{5000}{1.05^{12}}=P\\\\2784.19=P[/tex]

Hence, Andy should invest RS. 2784.19 for 12 years .

Final answer:

To find out how much Andy needs to invest today to fulfill his promise to Opie in 12 years with a 5% interest rate, we use the present value formula. Andy needs to invest approximately $2475.64 today to ensure he can fulfill his promise to Opie.

Explanation:

To calculate how much Andy must invest today to fulfill his promise to Opie, we can use the concept of present value.

Answer:

n = 12, she has played 12 games

Step-by-step explanation:

40 = 16 + 2n

24 = 2n

24/2 = n

n = 12

The division is one of the four fundamental arithmetic operations. The number of games that Hannah has played is 12.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Hannah is at an arcade where each game requires her to use 2 tokens. Also, the total number of tokens Hannah has is 40.

Therefore, the number of tokens that Hannah has used is,

Number of tokens Hanna used

= Total number of toke - Number of tokens left

= 40 - 16

= 24

Now, the number of games that Hannah has played is,

Number of games Hannah has played = Number of tokens used / Number of token per game

n = 24 / 2

n = 12 game

Hence, the number of games that Hannah has played is 12.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

The correct answer is 2%. The store donated 2% of $7,400 to charity.

To find out what percent of $7,400 was donated to charity, we need to divide the amount donated by the total sales and then multiply by 100 to convert it into a percentage.

Let's denote the percent donated as P. The amount donated is given as $148, and the total sales are $7,400. The relationship between the percent donated, the total sales, and the amount donated can be expressed as:

[tex]\[ P \times 7,400 = 148 \][/tex]

To find P, we divide both sides of the equation by 7,400:

[tex]\[ P = \frac{148}{7,400} \][/tex]

Now, we calculate the value of P:

[tex]\[ P = \frac{148}{7,400} = \frac{2}{100} \] \[ P = 0.02 \][/tex]

To express P as a percentage, we multiply by 100:

[tex]\[ P = 0.02 \times 100 \] \[ P = 2\% \][/tex]

Answer:

1^7 is the answer you are looking for

Step-by-step explanation:

Answer:

x=-1.67 or x=-4

Step-by-step explanation:

3x+5=0          and 2x+8=0

3x=0-5               2x=-8,,,divide both sides by 2, the two's cancel then x=-4

3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...

Answer:

-5/3 and -4

Step-by-step explanation:

I got it correct.

Explanation of how to calculate the volume of a rectangular prism with given dimensions.

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Given dimensions: length = 6/5 cm, width = 8/3 cm, height = 15/4 cm

Volume = (6/5) cm x (8/3) cm x (15/4) cm = 24 cm³

Answer: I am pretty sure it is 35 min

Step-by-step explanation:

Answer

Trent spent 35 minutes on his work.

Step-by-step explanation:

Answer:

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Step-by-step explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used [tex]\frac{76}{6}[/tex] = 12 [tex]\frac{4}{6}[/tex].

Thus there are two designs used 12 times each and other four designs are used for 13 times each.