Ryan runs 1.5 miles on his first day of training for a road race. The next day he increases his distance run by 0.3 miles. The day after that increases the distance run by another 0.3 miles and so on. what is the total number of miles Ryan runs over the course of 18 days?

Answers

Answer 1

Answer:

The answer is 72.9 !!!!

Step-by-step explanation:

Trust I'm taking the same test.

Answer 2

Ryan runs a total of 94.5 miles over the course of 18 days.

What is speed?

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

We can approach this problem by using arithmetic progression.

The first term is 1.5 miles, and the common difference is 0.3 miles.

So,

The nth term is given by:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the number of days.

We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:

S18 = (n/2) (a1 + an)

where n is the number of terms and a1 and an are the first and last terms, respectively.

Substituting the values we have:

a1 = 1.5 miles

d = 0.3 miles

n = 18

an = 1.5 + (18-1)0.3 = 6 miles

S18 = (18/2)(1.5 + 6) = 94.5 miles

Therefore,

Ryan runs a total of 94.5 miles over the course of 18 days.

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Related Questions

An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?

Answers

Answer: Percentage of infected trees =2%

Step-by-step explanation:

Number of Infected trees =7

Number of healthy trees=43

Total number of trees in the orchard=43+7=50

Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100

7/50 x 100 =2%

PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?

Answers

The answer would be 20%

All dimensions of a cylinder are multiplied by 1.5. Which statement is true?

A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.

B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.

C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.

D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.

Answers

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Pls, help me with this math question

Answers

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.​

Answers

Answer:

E

Step-by-step explanation:

Cos=Adjacent/hypotenuse

Cos30=rad3/2

The cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

What are trigonometric functions?

There are six major trigonometric functions as -

Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)

We can write the relation between them as -

Sine = 1/cosecantCosine = 1/secantTangent = 1/Cotangent

Also the following trigonometry relations hold true -

sin²Ф + cos²Ф = 1

1 + tan²Ф = sec²Ф

1 + cot²Ф = cosec²Ф

Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.

We can write the cosine function as -

cosФ = Base/Hypotenuse

cos(30) = √3/2

So, we can conclude that the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2

Therefore, the cosine function for Ф = 30 is equivalent to :

cos(30) =√3/2.

To solve more questions on trigonometric functions, visit the link below-

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Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.​

Answers

Answer:

A)

Step-by-step explanation:

The starting balance is $35

after one game purchase, the balance is 35-1.75=33.25

after two game purchases, the balance is 35-(1.75*2)=31.50


Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.

A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry

Answers

Answer:

A

Step-by-step explanation:

PLEASE HELP!! NO LINKS!!

Answers

Answer:

105°

cause You can measure an arc in degrees just like you measure an angle

7 1/2 divided by 3/4 =

Help please ;-;

Answers

The answer would be 10 because when you divide 7.5 by .75 it goes in 10 times

Answer:

10

Step-by-step explanation:

convert mixed number into improper fraction

15/2÷3/4

to divide by a fraction multiply by the reciprocal of that fraction

15/2×4/3

reduce the numbers with the greatest common factor 3

5/2×4

reduce the numbers with the greatest common factor 2

multiply the numbers

5×2=10

10 is your answer

which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)

Answers

Answer:

C

Step-by-step explanation:

the answer is c because there is more then one y value for 5

can i have help please i don't know the answer

Answers

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...

Answers

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12

Answers

Answer is e hope this helps

Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds

Answers

Answer:

jdkkdksmsmsmsksksksksksmaMmamMamnz

Step-by-step explanation:

nnznznznznxnxnxnsnskakakakakakzznnznanananaan

Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.

Answers

PART A :
A,B,C,D
Because if the spinner was spinning on time it would have either landed on any of the given parts a,b,c,d once
PART B:
A and B
They are equally likely to occur because both of them have a portion of 90 degrees.
Hopefully my answer helped :)

Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?

Answers

Answer:

The final answer is 0

Step-by-step explanation:

1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Help please I might fail…

Answers

Answer:

9 /4 which equals 2 and 1/4

Step-by-step explanation:

plugged into the calculator!

10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)

Answers

Answer:

A

Step-by-step explanation:

A because when you find the product you need to add


Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.

Answers

Answer: 3t+4q.

Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.

A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)

Answers

The square =9+7/5 or

Answer:

It is -0.465 when you add it to the nearest thousandth

Step-by-step explanation:

Can someone plz help me plz I beg u plz

Answers

Answer:

A.... X=3

Step-by-step explanation:

The answer is 3
X = 3 cuz 3x3 is 9 which would be equal to the other side when you add it with the other 2 blocks

Explain which properties you would use to fully expand (the problem in the screenshot)

Answers

Answer:

Firs property used : Quotient Property

           [tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]

   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]

Second property used : Product Property

          [tex]log_b(XY) = log_bX + log_b Y[/tex]

    [tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]

Third property used : Power Property

                 [tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]

 [tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]

Fully expanded form:

                   [tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]

           

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

How many reflectional symmetries does this figure have?

Enter your answer in the box.

_ reflectional symmetries


How many rational symmetries does this figure have?

Enter your answer in the box.

_ rotational symmetries

Answers

Answer:

1 & 1

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19

Answers

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

5

)

2

1

2

=

±

19

Remove the perfect root factor

3

x

5

under the radical to solve for

x

.

3

x

5

=

±

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

19

3

+

5

3

,

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

19

3

+

5

3

,

19

3

+

5

3

Decimal Form:

x

=

3.11963298

,

0.21370035

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

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Solve for b.
- 28 – 6b= 8

Answers

Answer:

-6

Step-by-step explanation:

- 28 – 6b= 8

step 1 add 28 to each side

-28 + 28 cancels out

28 + 8 = 36

we now have -6b = 36

step 2 divide each side by -6

-6b / -6 = b

36 / -6 = -6

we're left with b = -6

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=-6[/tex]  

»»————- ★ ————-««  

Here’s why:  

We will have to preform inverse operations to solve for 'b'.

[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth

Answers

Answer:

213,987.7 ft2  

Step-by-step ex planation:

The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help

Answers

Step-by-step explanation:

let's make T= the number if trees...

If we're placing one tree every 12 feet for two miles, then:

T×(space between trees) = (number of miles)×(1mi.)

T×12ft. = 2×1mi. = 2×5280ft.

Dividing by 12ft. to isolate T gives us:

T=(2×5280)/12 = 880

So that'll be 880 trees for 2 miles of street.

The number of trees that they plant on 2 miles of streets will be 880 trees.

What is division?

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The city is planting new trees in its downtown to make the streets more comfortable for visitors.

They are planting each tree 12 feet apart.

Then the number of trees that they plant on 2 miles of streets will be  

We know the conversion of miles into feet.

  1 mile = 5280 feet

2 miles = 10560 feet

Then the number of trees will be

Number of trees = 10560 / 12

Number of trees = 880

More about the division link is given below.

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A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares. What is the area of the shaded rectangle?

Answers

Answer:

Area of Rectangle = 28 cm²

Step-by-step explanation:

Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.

To find - What is the area of the shaded rectangle?

Solution -

The graph of the rectangle is as follows :

From the diagram, e can see that

Length of Rectangle = 7 units (cm)

Breadth of Rectangle = 4 units (cm)

We know that,

Area of Rectangle = Length × Breadth

                              = 7 × 4

                              = 28 cm²

Area of Rectangle = 28 cm²

Which is the factored form of x(w – 1) + (W – 1)?
22 pts

Answers

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

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