You have been selected by the members of White House to participate in a one-mile race (1 mile = 5,280 feet) on Sports Day. Another student from Blue House will race against you. You know from some trials in PE that you run at an average rate of 12 feet per second. Since the student from Blue house runs 10 feet per second, you have been asked to let him have a 1000-ft. head start.

If both of you maintain the estimated rates, would you be able to beat your opponent in the one-mile race?

REASONING: If both of you maintain the estimated rates, would you be able to beat your opponent in a one-mile race?

Answers

Answer 1

Answer:

Blue wins

Step-by-step explanation:

Blue runner   4280 ft / 10 ft/sec = 428 sec to finish

Red                5280 / 12 =    440 sec     Blue will win


Related Questions

Find the measure picture attached

Answers

Answer:

30

Step-by-step explanation:

90 - 60 = 30

PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!

Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle

Answers

Answer:

Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.

Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.

Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.

Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]

Let OM = x and ON = 6 - x

Consider ΔOMB

By Pythagoras theorem,

OM2 + MB2 = OB2

x2 + 2.52 = OB2

x2 + 6.25 = OB2..................(1)

Consider ΔOND

By Pythagoras theorem,

ON2 + ND2 = OD2

(6 - x)² + 5.52 = OD2

36 + x2 - 12x + 30.25 = OD2

x2 - 12x + 66.25 = OD2............... (2)

OB and OD are the radii of the circle. Therefore OB = OD.

Thus, OB2 = OD2

Equating (1) and (2) we get,

x2 + 6.25 = x2 - 12x + 66.25

12x = 60

x = 5

Substituting the value of x in (1),

OB2 = x2 + 6.25

OB2 = 52 + 6.25

OB2 = 31.25

OB = 5.59 (approx.)

Thus, we get the radius of the circle = 5.59 cm.

Bob had 50 cupcakes. he gave 1/5 of the cupcakes to his uncle,, 2/5 of them to his Grandpa. Bob kept the rest. how many cupcakes did each person get?​

Answers

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Step-by-step explanation:

PLEASE HELPPP !! use the pythagorean therorem equations and find the missing length of the side.

Answers

Answer:

if you want to find c do sqrt( a² + b²)

if you want to find a do sqrt( c² - b²)

if you want to find b do sqrt( c² - a²)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

K,
C^2= a^2+b^2
18^2=a^2+14^2
324=a^2+196
-196
A^2=128
Square root of 128= 11.314

Write the equation in slope-intercept form. y=−5(x+6)+2x

Answers

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

-3 = slope-30 = y-intercept (0, -30)

Hope this helps!

I’m having trouble can someone find this answer out

Answers

Answer:

f(x) = 13 when x = 10.

Step-by-step explanation:

[tex]f(x)=\frac{x}{2}+8[/tex]

[tex]f(10)=\frac{10}{2}+8[/tex]

[tex]f(10)=5+8[/tex]

[tex]f(10)=13[/tex]

Therefore, f(x) = 13 when x = 10.

Answer:

13

Solution:Plug in the value of x, which is equivalent to 10, instead of x:[tex]f(10)=\displaystyle\frac{10}{2} +8[/tex]f(10)=5+8f(10)=13

Hope it helps.

Do comment if you have any query.

You buy x bags of chips for $.75 per bag. How much do you spend on chips.

Answers

Answer:

Step-by-step explanation:

Equation

Cost = 0.75 * x

The answer is Cost = 0.75 * x

Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?

Answers

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

4 (plywood sheets) x 9 (price of sheets)= 36$
36$ (price of four plywood sheets) - 60$ (total sum) = 24$
24$ : 5$ (price per box) = 4.8, but he can’t but a fraction of a box so he can only buy 4 boxes of nails

I NEED HELP ASAP
QUESTION BELOW

Answers

Answer:

Circumference ≈ 50.27

Area ≈ 201.06

Step-by-step explanation:

The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]

Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)

A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint.

Answers

Answer:

The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

 Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width 8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

 Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

For more details, refer to the link:

brainly.com/question/2305449

Step-by-step explanation:

hope this helps

The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws


B
С
D
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

21

Step-by-step explanation:

I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21

mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b

A populations growth rate is r=3% per year how many years does it need to reach ten times its initial size

Answers

Answer:

333.3 years

Step-by-step explanation:

The formula

I = Prt

Condition

I needs to equal 10 x P

Solving

I = Prt10P = Prt10 = 0.03 x tt = 10/0.03t = 10/3 x 100 = 1000/3 = 333.3 years

20 POINTS ALL FOR YOU IF YOU ANSWER IT

Answers

Answer:

look i don't have a paper,but

(3x+10)+(2x+20)=180from here you can do the math and get the X

Answer:

x=30

angle ABC=100

angle DBC=80

Can y’all figure out the answer for me please

Answers

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

Solve
2(2x + 1) = 3(x - 4)

Answers

Step-by-step explanation:

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

4x+2=3x-12

4x-3x=--12-2

x=14

In a history class, 30 students were asked about other courses that they were enrolled in: 20 said they were taking math, 22 were taking English and 26 students were in either math or English. a) How many students are taking both math and English b) How many are in neither c) What percent of the students are taking math but not English

Answers

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

What is probability?

Probability is the likelihood of occurrence of an event. It is given by:

Probability = number of occurrence / total possible outcomes.

Let x represent the number of students that took both maths and english, hence:

Number of students taking only maths = 20 - x

Number of students taking only english = 22 - x

26 = 20 - x + (22 - x) + x

42 - x = 26

x = 16

b) Those who took neither = 30 - 26 = 4

c) those taking only math = 20 - 16 = 4.

Percentage = (4/26) * 100 = 15.38%

16 students take both maths and english, 4 students took neither and 15.38% of the students are taking math but not English

Find out more on probability at: https://brainly.com/question/24756209

Evaluate Grace's new budget.
ОА. Her new budget should have money in every budget category, including debts and medical expenses
OB. Her new budget should have money in medical expenses because she does not know what medical problems she will
encounter in the future.
OC. Her new budget is fine because debts and medical expenses were not needed last month.
OD. Her new budget should have money in debts so that she can afford to go into debt if she has medical expenses.

Answers

I think it is D

let me know
I’m sure it’s D but pls correct me

Find the two correct values of x in the equation 3x² = y when y = 75.​

Answers

Answer:

5 and -5

Step-by-step explanation:

3x² = 75

x² = 75/3

x² = √25

x = 5 and - 5

Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations

Answers

Answer:

-4 is your final answer in it

What is the perimeter of a sandbox thats 60 inches wide and 125 inches long

Answers

Answer:

370 inches

Step-by-step explanation:

To find the perimeter of a figure, you need to add all sides together.

60 + 60 + 125 + 125 = ?

60 + 60 = 120

125 + 125 = 250

120 + 250 = 370 inches

june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake

Answers

Answer:

12/4=3

Step-by-step explanation:

12/4

Answer:

3 batches

Step-by-step explanation:

Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.

Select all of the numbers that round to 5.1 when rounded to the nearest tenth.

A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17

Answers

Answer:

D and E

Step-by-step explanation:

Which value of x from the set 4, 5, 6, 7}, makes this equation true?
4(8 - x) = 8
A. 4
B. 5
c. 6
D. 7

Answers

4(8-x)=8

8-x=8/4

8-x=2

-x= 2-8

-x= -6

x=6

-> c

Divide.

3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5

Answers

Answer:

i put it in a calc and got 1 1/2 which simplifies to 2/3

Step-by-step explanation:

Answer: a?

Step-by-step explanation:

i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3

The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.​

Answers

Percentage decrease
= (1800-1500)/1800 x 100%
=300/1800 x 100%
= 16.67 %
Percentage decrease
= 16.67 %
The person above me is correct pls give them brainliest. Have a good day:)

pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9​

Answers

Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

6/7*(11/18-5/12) pls help: fraction form, please

Answers

Step-by-step explanation:

[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]

[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]

[tex] \frac{42}{252} [/tex]

What is the mode of the data represented in this line plot?

Enter your answer in the box.

Answers

Answer:

3

Step-by-step explanation:

The mode is 3 because it is the most commonly repeating number in the data set.

The mode of the data represented in this line plot is 3

How to determine the mode?

From the line plot, we have the following frequency table

Data   Frequency

1               2

2            3

3            4

4            3

In the above frequency table, the entry 3 has the highest frequency of 4

Hence. the mode of the data is 3

Read more about mode at:

https://brainly.com/question/14532771

#SPJ2

Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)

Answers

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

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