Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.

Answers

Answer 1

Answer:

12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference  = 2 km/h

As per above info we get following equations:

s = d + 220/s + 1/3 = 20/d

Substitute s and solve for d:

20/(d + 2) + 1/3 = 20/d

Get rid of fraction by multiplying all terms by 3d(d + 2):

60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10

Find s:

s = 10 + 2 = 12

The answer is

Masha's speed 12 km/h and Dasha's speed 10 km/h

Related Questions

Solve the following:

4³/(-12+2²)
--------------------------
(2x3)²+(-5x2x3)+2

Answers

Answer:

1. =−8

2. =4x^6−5x^5+2

Step-by-step explanation:

happy to help ya :)

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal monthly payments, p. What equation represents the relationship between the cost of the laptop and Cole’s payments?

Answers

285 is the answer to be correct

Select all that apply.

Which of the following are proportions?

Answers

Answer:

A, C and D

Step-by-step explanation:

both A, C and D are both porportions because they both equal the other fraction.

Answer:

1, 3, 4

Step-by-step explanation:

i had this on my test- im doing it rn.

-2(v - 2) = -3 – 2v​

Answers

Answer:

no solution

Step-by-step explanation:

Given

- 2(v - 2) = - 3 - 2v ← distribute left side

- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )

- 2v = - 7 - 2v ( add 2v to both sides )

0 = - 7 ← not possible

This indicates the equation has no solution

I need ur help with this just two questions. lets see who's good at this. n ofc in return ill brainlist.

market stall holder bought a variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65%
write the percentage mark up value as:
1) fraction in simplest form
2) decimal ​

Answers

Answer:

20 x 0.65 = 13

20 + 13 = 33

20 x 65/100 = 13

Answer:

variety of coloured 'hoodies to sell. Each hoodie costs the stall holder $20 and she intends to sell them to the public at a mark up of 65% write the percentage mark up value as: 1) fraction in simplest form ... an acute angle lies in the range. 0 \leqslant \theta ... an angle that measures 65° i

Step-by-step explanation:

Write down the next two terms in this number pattern
2, 5, 9, 14, 20,0​

Answers

Answer:

+3,+4,+5,+6,-20

Step-by-step explanation:

its:

2+3=5

5+4=9

9+5=14

14+6=20

20- 20=0

i believe so

(Smart people will get this) #10

Answers

Answer:

OH OKK NICE TELLING ME

Step-by-step explanation:

Round the decimal and solve to find the best estimate.

.÷ 8

Answers

Answer:

0

Step-by-step explanation:

Rounded to the nearest 0.01 or

the Hundredths Place would equal 0.00.

so then you do 0.00 ÷ 8 = 0

Finding which number supports the idea that the rational numbers are dense in the real numbers?

Answers

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

Help ASAP!!!!!!
A school of poetry that advocates using everyday language to capture and present
images in precise, brief poems that suggest, rather than enforce, interpretation is...

Answers

Answer:  Imagism is a school of poetry that advocates using everyday language to capture and present images in precise, brief poems that suggest, rather than enforce, interpretation

Tia cut 4-meter 8-cenimeter wire into 10 equal pieces. Martha cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta's wires than one of Tia's?

Answers

Answer: 19.2 cm

Step-by-step explanation:

A meter is equal to 100 centimetres so the total length of Tia's wire in centimetres is:

= 4.08 * 100

= 408 cm

She cuts this into 10 equal pieces:

= 408 / 10

= 40.8 cm

Martha cuts her 540 cm wire into 9 pieces. Each piece is:

= 540 / 9

= 60 cm each

The difference is:

= 60 - 40.8

= 19.2 cm

The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?

Answers

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

[tex]f(x)=-0.9x+665[/tex]

where x represents miles flown, and f(x) represents the amount of fuel remaining.

To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

[tex]y=mx+b[/tex]        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

[tex]f(x)=-0.9x+665[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]m=-0.9[/tex]

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

Prove that
cos 9°+sin 9°/cos9°-sin9° =cot 36°
plzz fasstttt i need to writw this!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

LHS = (Cos9° + Sin9°) / (Cos9° - Sin9°)  

Divide by Numerator  and Denominator   by  Cos9°  

LHS = (1 + Tan9°) / (1 - Tan9°)

       = (Tan 45° + Tan 9°) / (1 - Tan 45° * Tan 9°)  

       = Tan (45°+9°)  

       = Tan 54°

       = Cot 36°

hope it helps :)

graph the equation...
0.5s+4a=15​

Answers

Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

29. You drop a handball from a height of 1 meter. Each curved path has 64% of
the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is when n = 1.
b. What height will the ball reach at the top of the sixth path?

Answers

I think it’s A sorry if I’m wrong

help me plz i don’t do math and it’s hard

Answers

3,4,0,2 should be the answer.

Mr. Wells tells his class of 30 that when they have
completed the assignment, they may play online math
games. At the end of class, 27 students are playing
online math games. Approximately what percentage of
the students did not finish their assignment?
HELP MUCH NEEDED <3

Answers

Answer:

10%

Step-by-step explanation:

Answer:

10% of the pupils have not finished their assignment.

Step-by-step explanation:

3/30 kids have not finished their assignment.

3/30 = 1/10 = 10/100 = 10%

Hope this helps!

From V

i will give brainliest


2 (x + 3 )= -x⁣

Answers

Answer:

-2 =x

Step-by-step explanation:

2 (x + 3 )= -x⁣

Distribute the 2

2x+6 = -x

Subtract 2x from each side

2x+6-2x = -x-2x

6 = -3x

Divide each side by -3

6/-3 = -3x/-3

-2 =x

Answer:

x = -2

Step-by-step explanation:

2 (x + 3) = -x

2x + 6 = -x

    - 6     -6

2x = -x - 6

+x    + x

3x = -6

---    ----

3      3

x = -2

PLz help I will give brainliest!!!!! and extra points

Answers

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

y = x^2 + 8x + 15 find the y-intercept

Answers

Answer:

15

Step-by-step explanation:

To find the y-intercept, just set the x value to 0:

[tex]y=0^2+0x+15=15[/tex]

Write an equation of the line that passes through (−4,−5) and is parallel to the line y=−4x−1.

Equation: y=

Answers

Answer:

step 1. y - y1 = m(x - x1). This is the standard line equation given a point and a slope.

step 2. parallel lines have the same slope so the slope is -4.

step 3. y - (-5) = -4(x - (-4)).

step 4. y + 5 = -4x - 16.

step 5. y = -4x - 21.

Simplify using the division rule
14,252
Trs

Answers

Answer:

2rs

Step-by-step explanation:

simplify- 2*7r^2s^2/7rs

r^2 divided by r^1=r^(2-1)=r^1=r

s^2 divided by s^1=s^(2-1)=s^1=s

canceling out 7 as it appears on both sides of the fraction line

What is the y-intercept of y=5x-2

Answers

Answer:

the y intercept is -2

Step-by-step explanation:

the y intercept is always the value on the end

Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.

Step-by-step explanation:

PLEASE HELP THIS IS DUE TODAY!!​

Answers

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

Someone please helppppp!

Answers

Answer:

AB=24.5

Step-by-step explanation:

5x+7=7x

7=2x

x=3.5

7(3.5)=24.5

PLEASE HELP ASAP Will MAKE BRAINLIST

Answers

Answer:

The second answer is correct

Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.

Answers

Answer:

y - 8 = (-1/27)(x + 3)

Step-by-step explanation:

the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27.  Using the point-slope form  y - k =m(x - h)  to write the new equation, we get:

y - 8 = (-1/27)(x + 3)

Other Questions
OHARA COMPANYIncome StatementFor the Year Ended December 31, 2017Net sales$2,218,500Cost of goods sold1,012,400Selling and administrative expenses906,000Interest expense78,000Income tax expense69,000Net income$ 153,100OHARA COMPANYBalance SheetDecember 31, 2017AssetsCurrent assets Cash$ 60,100 Debt investments84,000 Accounts receivable (net)169,800 Inventory145,000 Total current assets458,900Plant assets (net)575,300Total assets$ 1,034,200Liabilities and Stockholders EquityCurrent liabilities Accounts payable$ 160,000 Income taxes payable35,500 Total current liabilities195,500Bonds payable200,000 Total liabilities395,500Stockholders equity Common stock350,000 Retained earnings288,700 Total stockholders equity638,700Total liabilities and stockholders equity$1,034,200Additional information: The net cash provided by operating activities for 2017 was $190,800. The cash used for capital expenditures was $92,000. The cash used for dividends was $31,000. The weighted-average number of shares outstanding during the year was 50,000.(i)Working capital. (2016: $160,500; 2017: $263,400)(ii)Current ratio. (2016: 1.65:1; 2017: 2.35:1)(iii)Free cash flow. (2016: $48,700; 2017: 67,800)(iv)Debt to assets ratio. (2016: 31%; 2017: 38.2%)(v)Earnings per share. (2016: $3.15; 2017: $3.06) What were the three areas of government in the mainland colonies? Explain Each. pls help me! 15 points Phenotype or Genotype?Brown Hair:BB:11 Phenotype:: Genotype PLEASE HELP THIS IS TIMED I'LL GIVE BRAINLIEST!!!!!!The chart shows characteristics of two groups of mammals.Mammal CharacteristicsWhich headings correctly complete the chart?A. X: Marsupial Y: PlacentalB. X: Placental Y: MarsupialC. X: Monotreme Y: PlacentalD. X: Placental Y: Monotreme Using the picture below, what is the displacement of the triangle? Which expression is equivalent to (44)2 . (47) 2? A. 1 46 1 1 B. 43 C. 411 D. 430 9x+ 1 =x+ 9 the solution is x= name 4 different student loans at Harvard and tell me the requirements. will mark brainliest NEED HELP ASAPthanks + BRAINLIST only for correct answer Alycia has $10 to use for some new school supplies. She wants to buy abinder for $2.79, a package of markers for $1.25 and 2 packs of ink pens for$ 1.96 each. How much change should she get? * PLEASE HELPPP ME TY! How might the snow-white berries be a kind of foreshadowing that adds tension to the story? Explain how lines 6973 might foreshadow future events? What is the determinant of H= Im supposed to find angles for these, and I don't know on how to do that 2. Ais a describing word that can help to create a more vivid word picture.main ideadialoguehighlightmodifier You order a 119 pound couch suppose you use 1 day shipping instead of 3 to 5 day shipping how much more will you pay Why would water move faster through one kind of tree compared to another, and what might that tell us about their life cycle and susceptibility to environmental changes? Scientific laws differ from scientific theories because laws do not provideA)a hypothesis.B)a descriptionC)an explanationD)a statement. cual es la intencin del autor en la novela la guinda de Jos Rutilio Quesada