Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer. Then, she rode a bicycle for xxx hours at an average speed of 202020 kilometers per hour. Finally, she ran for 0.50.50, point, 5 hour at an average speed of vvv kilometers per hour. Write an equation that relates DDD, xxx, and vvv.

Answers

Answer 1

Answer:

D = 0.5 + 20x + 0.5v

Step-by-step explanation:

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v


Related Questions

HELPPP PLSSSS
What is the measure of angle U ??????

Answers

Answer:

m<U = 120 degrees

Step-by-step explanation:

9x - 6 = 7x + 22

2x = 28

x = 14

m<U = 9(14) -6

m<U = 126 - 6

m<U = 120 degrees

Hope this helps!!!

Answer:

120

Step-by-step explanation:

U = W

(9x-6) = (7x+22)

SOLVE

subtract 7x from each side.

2x-6 = 22

add 6

2x = 28

divide by 2

x = 14

plug 14 into x and solve.

9(14)-6 = 120

7(14)+22 = 120

both angles are the same

hope that helped

A builder requires 35 buckets of mortar to build a wall.

Mortar is made by mixing cement and sand in the ratio 1:4

How many buckets of cement and sand does he need?

Answers

Answer:

He needs 7 buckets of cement, and 28 buckets of sane.

Step-by-step explanation:

cement : sand

1:4 = 5

35/5 = 7

7*1=7 .          Cement

7*4=28 .       Sand

A grocery store purchases cantaloupes from two warehouses, A and B. The
distribution of the diameters from Warehouse A is approximately normal with a
mean of 120 mm and standard deviation of 6 mm.
(a) For a cantaloupe selected at random from Warehouse A, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
A randomly selected cantaloupe from Warehouse B has the probability of 0.763
that it will have a diameter greater than 127 mm. The grocery store purchases
40% of their cantaloupes from Warehouse B.
(b) For a cantaloupe selected at random from the grocery store, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
(c) If the randomly selected cantaloupe's diameter is greater than 127 mm, what
is the probability the cantaloupe came from Warehouse B?

Answers

A grocery store purchases cantaloupes from two warehouses, A and B. The
distribution of the diameters from Warehouse A is approximately normal with a
mean of 120 mm and standard deviation of 6 mm.
(a) For a cantaloupe selected at random from Warehouse A, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
A randomly selected cantaloupe from Warehouse B has the probability of 0.763
that it will have a diameter greater than 127 mm. The grocery store purchases
40% of their cantaloupes from Warehouse B.
(b) For a cantaloupe selected at random from the grocery store, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
(c) If the randomly selected cantaloupe's diameter is greater than 127 mm, what
is the probability the cantaloupe came from Warehouse B?

A: The probability of cantaloupe having dia. more than 127 is 0.12167.

B: Cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.

C: The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.

What is probability?

The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability is a measure of the likelihood of an event occurring.  Also, the favorable number of outcomes cannot be negative.

Given two warehouses, A and B

mean for warehouse A = μ = 120 mm

The standard deviation for warehouse A = σ = 6mm

A:  a cantaloupe selected at random from Warehouse A

to find the probability of cantaloupe having a diameter greater than      127 mm = P(x > 127)

P(x > 127) = 1 - P(x ≤ 127)

P(x ≤ 127) = P((x - μ)/σ)

P(x ≤ 127) = P((127 - 120)/6)

P(x ≤ 127) = P(z ≤ 1.66)

P(x ≤ 127) = 0.87833

P(x > 127) = 1 - P(x ≤ 127)

P(x > 127) = 1 - P(x < 127) = 0.12167

probability of cantaloupe having dia. more than 127 is 0.12167.

B: Let event A for distributor A and  let event B for distributor B

and event C for a diameter greater than 127 mm.

and given A randomly selected cantaloupe from Warehouse B has a probability of 0.763 that it will have a diameter greater than 127 mm,

and the percentage of cantaloupe provided by B is 40%

rest 60% for A,

therefore, for cantaloupe selected at random, the probability of having a diameter greater than 127 mm is

P(C) = P(C|A)P(A) + P(C|B)P(B)

=  0.12167(0.6) + 0.763(0.4)

= 0.073 + 0.3052

P(C) = 0.3782

cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.

C:   the probability the cantaloupe came from Warehouse B, given that the randomly selected cantaloupe's diameter is greater than 127 mm,

P(B|C) = P(B ∩ C)/P(C)

P(B|C) = (P(C|B)P(B))/P(C)

substitute values

P(B|C) = ((0.763)(0.4))/0.3782

P(B|C) = 0.3052/0.3782

P(B|C) = 0.8069

The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.

Hence the probabilities are,

A;  0.12167

B; 0.3782

C; 0.8069.

Learn more about probability;

brainly.com/question/30034780

#SPJ2

What’s the anwser to this problem

Answers

Answer:

B

Step-by-step explanation:

Take his original balance (-142) and add the deposit (500) to get $358.

Hope this helps!

Answer:

B. $358

Step-by-step explanation:

the way you would get this would be to add -142+500

Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.)

Answers

Answer:

0.325 hits per bat

Step-by-step explanation:

13/40=0.325

1/40=1/4•1/10=0.25•0.1=0.02513/40=1/40•13=0.025•13=0.325

Round to the nearest thousandth:9.4048

Answers

Answer:

9.405

Step-by-step explanation:

help me please!! i’ll make you a brainliest:))

Answers

Answer:

y= -5

Step-by-step explanation:

your answer will be y=-5 :)

Simplify -78 ÷ (-9)



(Write answer as a mixed number: whole and fraction remaining.)

Answers

Answer:

8 2/3

Y-E-E-T

Step-by-step explanation:

-78 divded by (-9)

-78

-----

-9

there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.

78/9

divide 3 on both sides

78/3 =26

9/3=3

26/3 now.

so the mixed number would be 8 2/3

8 and 2/3
Shhsjsgsgsks

The tree in Maya's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

It is 600cm high
Can u plz give me the brainiest answer

Answer:

Step-by-step explanation:

600cm

Determine whether the function is linear (0,1) (-2,-1) (-4,1)

Answers

Answer:

No, this is not a linear function

Step-by-step explanation:

If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.

Determine the value of x in the figure.

A)

x = 141

B)

x = 94

C)

x = 137

D)

x = 43

Answers

Answer:

what figure?!

Step-by-step explanation:

im not sure scence i dont know what figure but if u were u i would do l × w

Answer:

137

Step-by-step explanation:

Please help me Find X:

Answers

Answer:

x=50

Step-by-step explanation:

since all the angles of a triangle when added equal 180 we are going to have an equation like this:

180=102+28+x

180=130+x

so to find the value of x we have to subtract the final number by the value already given to us so something like:

180-130

which equals 50

A circular garden has a radius of 8 feet. What is the arc length intercepted by a central angle of 150°?



Plz Help

Answers

Answer:

The arc length is 20.95 feet

Step-by-step explanation:

We calculate this using;

length of arc = theta/360 * 2 * pi * r

where theta is the central angle

So we have

length = 150/360 * 2 * 22/7 * 8

length = 20.95 feet

PLEASE HURRYYY Which number line represents the solution set for the inequality -1/2x>4?
-10
8 6
-2
4
0
2
+
6
4
+
8
10
-10
8
6
4
-2
+
6
0
2
4
+
8
+
10
-10
8
6
4
12
0
2.
4
6
100
10
-10 1-8
6 4
-2
0
10
4
6
100
10

Answers

I can’t understand this. I’m sorry ;-;

Find the slope of the graph. Write it as a fraction or whole number (not a mixed number) 

Answers

Answer:

slope =-4 or -4/1

Step-by-step explanation:

the graph shows 4 down and 1 over

please help me solve one of the ones with a red arrow ! i'm not sure how to do it so if you could show me how you did it it'll help ! ill give brainliest, thanks and points

Answers

Answer:

1.)13x = +9

2.)9x = -5

so first you take 1^2 power and it would be 1 so then u add the 1x on to the 12x or 8x from whatever equation ur working on and u would get 13 x or 9x from there u need to get the x isolated from the number without an x so if ur doing number 1 you would do +9 on both sides which would clear the -9 on the left side and add 9 on the right making it 13x = 9

Find the x-intercept for the following equation.
4x + 9y=27
I

Answers

Answer:  (6.75,0)

Step-by-step explanation:

The x-intercept of a line is when it's y coordinate is 0, so input 0 into the equation for y and solve for x.

4x + 9(0) = 27

4x = 27  

 x= 6.75  

I think the x intercept would be 27/4. This is the best way i can explain.

Jenny is a member of a summer swim team.
a. Using the graph, determine how many calories she burns in one minute.

Answers

Answer:

4 calories

Step-by-step explanation:

5 minutes equals 20 calories. 20 divide by 5 is 4. 1 minute equals 4 calories.

Answer:

6  2/3

Step-by-step explanation:

makayla is reading a 400 page book for her book club.she reads 32 pages each hour

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

3. The point D(3, -2) is
rotated 90° cw about
the origin. What is the
coordinate point
for D'?

Answers

Answer:

D' = ( -3, -2)

Step-by-step explanation:

Rate me branliest please :)

1. Julie earns $15.73 per hour and she worked 37 hours last week. How much did she earn? Don't forget to put in
a comma where needed.
$611.08
$582.01
$552.00
$557.02

Answers

Answer:

the answer would be $582.01   ;)

Step-by-step explanation:

Which expression is equivalent to 32 + 16? (1 point) a 8(4 + 2) b 8(24 + 8) c 7(4 + 2) d 7(24 + 8)



pls help

Answers

Answer:

Option a 8(4+2)

Step-by-step explanation:

32+16

=8*4+8*2

=8(4+2)

Answer:

8(4+2) ur welcome

-7x – 3x + 2 = –10x + 9

Answers

Answer:

No solution

Step-by-step explanation:

Combine terms

Add x

Add 2

Divide

An electric technician is paid $9.60 per hour. Based on 40 hours per week, what is this technicians annual salary?

Answers

Answer:  $19968

Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.

the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:

1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)

Answers

Answer:

Dimensions: 11 meters by 27 meters

2. [tex]76=2w+2(2w+5)[/tex]

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = [tex]2w+5[/tex]

[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)

[tex]4w+10+2w=76[/tex]

[tex]6w=66[/tex]

[tex]w=11[/tex]

Length = [tex]2(11)+5[/tex]

Length = [tex]27[/tex]

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]

Will give Brainlist .Question is in the picture.Only answer if you know the correct answer.

Answers

the slope of that line is m=2/5

The original price of a car was reduced by $3000. Its
discounted price is now $16,000.

Answers

Answer:

if $3000 was reduced from X which is now $16,000 x or the original price is $19,000

Step-by-step explanation:

$19,000- $3,000=$16,000

Simplify the expression:

2/3y+5-3-11/12y

Thanks!

Answers

Answer:

-1/4y+2

Step-by-step explanation:

5-3=2

2/3-11/12=-1/4

Write the exponent for the expression. 1.6 exponet 2

Answers

Answer:

The exponent is 2. As a expression it is 1.6^2

Step-by-step explanation:

I don't really have an explanation its just common sense.

Please help! Only if you know!

Answers

Answer:

Acute Scalene

Step-by-step explanation:

yellow or red!!! hope this helps :)
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