Question 15 David went for a run in his town. He ran from his house to the school, which is 1.22 miles. Then he ran 3 laps around the school track. Each lap is 0.25 miles. Then he ran halfway to the gas station. The distance from the school track to the gas station is 2.68 miles. Finally he ran straight home, which is 0.49 miles. What is the total distance David ran?

Answers

Answer 1

Distance covered to travel house and school, d1 = 1.22 miles.

Distance covered in 3 laps, d2 = 3 × 0.25 = 0.75 miles.

Distance between halfway to the gas station from school,

d3 = 2.68÷2 = 1.34 miles.

Distance from his last position to home, d4 = 0.49 miles.

So, total distance covered is :

[tex]D = d1+d2+d3+d4\\\\D=(1.22+0.75+1.34+0.49)\ miles\\\\D=3.8\ miles[/tex]

Therefore, total distance covered is David is 3.8 miles.

Hence, this is the required solution.


Related Questions

At the local coffee shop, they sell a reusable mug for $6. If you use the mug for a refill, the refill costs $1.30. Last month Jason spent $29.40 for the mug and refills. Which equation can be used to determine the number of refills, r, Jason purchased last month?

Answers

Answer:

r = 18

Step-by-step explanation:

6 + 1.30r = 29.40 [write out the equation]

-6 -6 [subtraction property of equality]

1.30r = 23.40

___ ____ [division property of equality]

1.30 1.30

r = 18

I hope it helps :)

Answer:

6 + 1.30r = 29.40

Step-by-step explanation:

Can someone help me with number 12 ASAP please

Answers

Answer:

[tex]x > 1[/tex]

x is greater than 1

whats 105 to the power of 20 pls help its big question

Answers

Answer:

lol is this possible i tried doing it but couldnt haha i googled it and well it said 2.6532977e+40

Step-by-step explanation:

Answer:

2.65329771×10 to the power of 40

Step-by-step explanation:

Use scientific notation to get the simplest answer

I'm just gonna recheck my answers, can anyone answer for me plz:)​

Answers

Step-by-step explanation:

In this question maybe we have to make equation or formulas so

A to find yellow jelly beans = 2g

B to find red jelly beans = g - 5

C to find black jelly beans = g + 4

You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.


I have till 2 and I need help

Answers

Answer:

(12 * 4) + 4x / 4

Step-by-step explanation:

Solve: 3(2x + 4) = 5x - 2

Answers

Answer:

= -14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+4)=5x−2

(3)(2x)+(3)(4)=5x+−2(Distribute)

6x+12=5x+−2

6x+12=5x−2

Step 2: Subtract 5x from both sides.

6x+12−5x=5x−2−5x

x+12=−2

Step 3: Subtract 12 from both sides.

x+12−12=−2−12

x=−14

Pls help due tonight, I just found the assignment !
Will give brainly for the correct answer

Answers

Answer:

1) slope is -1/3

2) slope is 3 or 3/1

3)slope is -3/2

4)slope is3/2

5)slope is 5/3

6)slope is 7/3

Step-by-step explanation:

Identify the slope and y- intercept of the linear equation.

y = -2x + 5

Slope:
y-intercept:​

Answers

Answer:

Slope= -2

y-intercept= 5

Step-by-step explanation:

HELP!!! What is the equation in point-slope form of the line that passes through point (2,-3) and has a slope of 4

Answers

Answer:

y = 4x - 11

Step-by-step explanation:

given slope m = 4

point (2, -3) for (x1, y1)

equation for point slope form

y - y1 = m(x- x1)

y - (-3) = 4 (x -2)

y + 3 = 4x - 8, simplify

y = 4x - 11

Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?

Answers

Answer:

384

Step-by-step explanation:

No. of students in the club last year = 320

No. of students in the club this year increased by 20%

To find the actual increase, 20% is multiplied by the number of students in the club last year which is 320 and to find the number of students in the club this year add the answer to 320 (the number of students in the club last year)

That is,

= 20% * 320

= 20/100 * 320

= 64

Finding the number of students in the club this year

320 + 64 = 384 students

NOTE : Increase means addition that is why the number of students in the club last year is added to the actual increase

whole numbers are _____ Intergers​

Answers

Answer:

I believe the answer is positive

Step-by-step explanation:

There's no specific type of integer, but whole numbers are integers but also only positive. So positive integers


Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false

Answers

Answer:

true

Step-by-step explanation:

[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]

Answer:

true

Step-by-step explanation:

3x -4(2x-5)

3x-8x+20

5x+20

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber works a maximum of 8 hours per day.
For one day a work, what is the range of the function for this situation?

Answers

I think it’s the first and last option I hope this helps

x-6=8 what’s the answer please it’s 9th grade algebra

Answers

x=14 because 14-6=8

Answer:14

Step-by-step explanation:

X-6=8

+6. +6

X=14

How can you translate a verbal sentence into an algebraic equation? Explain.



Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.

Answers

Hey can someone help me with my latest question no one‘s helping me and I really need it

The mathematical expressions are given as

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

What is an expression?

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

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

In the verbal sentence, the meaning of using of indicates the multiplication of numbers.

The mathematical expressions will be used as:-

1 of 4 = 1 x 4

2 of 4 = 2 x 4

3 of 4 = 3 x 4

4 of 4 = 4 x 4

To know more about an expression follow

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1. The sum of 5 and x is 20. What is x?

Answers

the answer would be 15.

If the sum of 5 and x is 20, then the value of x will be 15.

It is given that the sum of 5 and x is 20.

Mathematically, it can be written as:

5 + x = 20

We have to find the value of x.

In order to find the value of x we need to separate the variable and constant.

For this, subtract 5 from both the sides:

5+x-5 = 20-5

5-5 +x = 20-5

Then, solve the operation of subtraction on both the sides of above equation.

0+x = 15   -------(A)

Since, when we add 0 to any quantity, the result will be this quantity itself.

So, 0+x = x -------(B)

From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.

Equation right sides of (A) and (B). We have:

x = 15

Hence, the value of x is 15.

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What is the solution to the linear equation?

4b + 6 = 2 – b + 4

Answers

Answer:

b = 0

Step-by-step explanation:

Subtract 6 from both sides:

4b = 2 - b - 2

Subtract 2 from two, and get 0.

4b = -b

this means that the only possible case where the equation is satisfied is when b = 0, because -0 is 0, and 4x0 is still 0.

i don't really understand this??....​

Answers

Answer:

Part 1

its asking you to find the slope of the given lines by using the points that they have plotted on the lines

first you need to figure out what the points are, then insert it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

Part 2:

its asking you to find the slope using the points that are written in each box

again, just substitute it into the formula

the formula for this would be [tex]\frac{Y2- Y1}{X2-X1}[/tex]

What is 3x+7x=9-18? Math is confusing once you get into 7th grade.

Answers

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

x = -0.9

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

(11x - 1)
(20x – 3)
151°

Answers

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Explain about the triangle?

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

To learn more about triangle refer to:

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Find the solution of the system of equations.
–6 - 2y = -40
- 7x – 2y = -44

Answers

Answer:

Step-by-step explanation:

(x,y) = (48/7, -22)


List the names and measures for pairs of alternate Interior angles. Group them together. Then list the names and measures for pairs of alternate
exterior angles.

Answers

Answer:

The two pairs of alternate interior angles are CHG and HGB and DHG and HGA.

mCHG  =  mHGB  =  48.81°

mDHG  =  mHGA  =  131.19°

The two pairs of alternate exterior angles are EHC and BGF and EHD and AGF.

mEHC  =  mBGF  =  131.19°

mEHD  =  mAGF  =  48.81°

Step-by-step explanation:

STRAIHGT FROM PLATO BOOOOIIIIII

1. James wants to buy snacks for his friends for a movie. The cost of one box of popcorn
is $3 and the cost of one soda is $2 but James only has $15 to spend. Write and
equation to represent this situation. Remember to define the variables!
2. If James buys 3 boxes of popcorn how many sodas can he buy?

Answers

Answer:

1.) 15-3-2=x

2.) He can buy 3 sodas

Step-by-step explanation:

1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)

2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3,  he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.

multiply the polynomials below. SHOW ALL WORK

(x−7)(2x−5)

Answers

2x^2-19x+35

show work:
=(x+-7)(2x+-5)
=(x)(2x)+(x)(-5)+(-7)(2x)+(-7)(-5)
=2x^2-5x-14x+35
=2x^2-19x+35

For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
m greater-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 25 Over 3 EndFraction
m less-than StartFraction 49 Over 12 EndFraction
m greater-than StartFraction 49 Over 12 EndFraction

Answers

Answer: m> 49/12

Step-by-step explanation:

The graph is a parabola . The Parabola with minimum point. So, Substitute the minimum value in the equation. Thus the graph of have two x-intercepts when.

The graph is a parabola with the minimum where x= -b/2a = -7/6.

To have 2 x intercepts, the value at the minimum point must be less than 0, i.e.

3(49/36) - 49/6 + m < 0

49/12 - 49/6 + m < 0

(49-98)/12 + m < 0

-49/12 + m < 0

m < 49/12

The values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

It is given that:

The equation of the graph:

y = 3x² + 7x + m

If the above quadratic function has two x-intercepts that means:

D > 0

b² - 4ac > 0

On comparing:

a = 3

b = 7

c = m

7² - 4(3)(m) > 0

49 - 12m > 0

12m < 49

m < 49/12

Or

m ∈ (-∞, 49/12) for which graph of a function have two x-intercepts

Thus, the values of m < 49/12 the equation of the function y = 3x² + 7x + m have two x-intercepts option (C) m < 49/12 is correct.

Learn more about quadratic equations here:

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find the mean of the given data 8,7,5,9,6,13​

Answers

here is the answer :))))

The mean of the data is 8.

Mean :

Given data are,

                    [tex]8,7,5,9,6,13[/tex]

Mean is computed as divide the sum of all data by total number of data.

Sum of all the data[tex]=8+7+5+9+6+13=48[/tex]

Number of data[tex]=6[/tex]

             [tex]Mean=\frac{48}{6}=8[/tex]

Learn more about the mean here:

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SAT Scores SAT Scores Group 1 Group 2 1520 1510 SAT Scores Group 3 SAT Scores Group 4 1620 1480 1630 1480 1700 1570 1480 2100 1520 1400 1580 1800 1510 1800 1400 1300 1530 1930 1300 1250 1430 2150 1700 1400 2000 1340 1610 1430 1800 1580 1580 1390 1410 1530 1520 1520 1390 1610 The SAT scores of 4 groups of 10 students are shown. Which group has the greatest range? A) Group 1 B) Group 2 Group 3 D) Group 4​

Answers

Answer:

Group 4

Step-by-step explanation:

Group 4 is the only group that has any numbers. And Group 2 the range is not big at all.

Was this the question or did you make a mistake with the numbers?

Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be

Answers

Answer:

2 1/2 per piece

Step-by-step explanation:

A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:

Answers

Answer: Online

Step-by-step explanation:

Find the unit price

(multiply 12.51 and 20.70 by 100 to make it easier to divide)

12.51 divided by 3 = 417

20.70 divided by 5 = 414

Hope this helps!

Writing proportional equations from tables
CCSS.Math: 7.RP.A.2
Email
The following table shows a proportional relationship between j and m?
j
m
4
3
12
9
20
15
Write an equation to describe the relationship between j and m.

Answers

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

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