Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.

Answers

Answer 1

Answer:

f=24km/h

Step-by-step explanation:

Alright, here's what we know.

He travels 2 hours at a fast speed, lets call that speed f km/h

He then travels 3 hours at (f-10) km/h

In these 5 hours, he travels 90km

So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.

So we have:

[tex]v=\frac{d}{t}[/tex]

d and t are given to us as 90 and 5 respectively

v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.

[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]

2f+3f−30=90  by cancelling the 5's in the denominator and expanding 3(f−10)

5f=120

f=24km/h

So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.


Related Questions

Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8

Answers

Answer:

8

Step-by-step explanation:

2(8x) + 5(8)
8 will go in the box

Is {1, 3, 5} a subset of the set of odd integers?

Answers

Answer: Yes

Step-by-step explanation:

The set of odd integers is all odd numbers with no decimal places after them. This includes 1, 3, 5, 7, 9, 11, 13 (etc.) The numbers 1, 3, and 5 all fall within this set, making the set {1, 3, 5} a subset of the set of all odd integers.

The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су

Please Help


Answers

Answer:The answer is y = 67°.Step-by-step explanation:56 + y + (180 - 123) = 180=> 56 + y + 57 = 180=> y = 180 - 113=> y = 67°Conclusion:

Therefore, the answer is y = 67°.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Solution:

Note that:

Interior angles of a triangle sum up to 180°

This means that...

56 + y + (180 - 123) = 180

Let's simplify the equation to find y.

=> 56 + y + (180 - 123) = 180

Simplify the LHS.

=> 56 + y + (57) = 180

=> 113 + y = 180

Subtract 113 both sides.

=> 113 - 113 + y = 180 - 113

=> y = 180 - 113 = 67°

the sum of two consecurivenodd numbers is twenty four find the numbers

Answers

Answer:

the numbers are (11,13)

Kyle was playing archery and shot 20 arrows. 30% of them hit the bullseye. how many of the arrows hit the bullseye?

Answers

20 = 100%
0.2 = 1%
6 = 30%

6 arrows hit the bullseye

Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.

Answers

The length of the compass so that ΔXYZ is isosceles and not equilateral could be;

Option C; between ¹/₂XY and XY

Option E; greater than XY

We are told that;

Student has drawn a line XY

Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.

Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.

Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.

The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.

Finally, the options that apply are Options C and E.

Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169

my homework:
Write two expressions that will never return the same
output. Use x as the variable in each expression.

my way of saying it:
write 2 equations with x included that will never equal the same thing no matter what x is

Answers

Answer:

x² * -1/2,

x² + 3

Step-by-step explanation:

The first exprsession always returns a positive number for the square but ends up being negative after the multiplication no matter the inputted values. The second one is always positive.

Two expressions that will never return the same output are 2x - 1 and 2x - 3

How to determine the expressions?

Assume the expressions are linear functions

A linear function is represented as:

y = mx + c

For the expressions to have different outputs, both expressions must have the same slope but different y-intercepts

Take for instance 2x - 1 and 2x - 3

Hence, the two expressions that will never return the same output are 2x - 1 and 2x - 3

Read more about expressions at:

https://brainly.com/question/723406

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Plzzz help me.please reply fast

Answers

Answer:

x=458

Step-by-step explanation:

1729-810=919

919-790=129

810-129=681

681-112=569

112-1=111

569-111= 458 (which is the answer)

Answer:

I get 458, but please check the calculations.

Step-by-step explanation:

See attachment.  I worked down the pyramid until I has enough information to calculate x.  For example, 919 had to be the difference of (1729 - 810) for a sum of 1729.  129 had to be the difference of (919-790).  681 is the difference of (810 - 129).  And so on . . .

solve 3x/7= 1/2

pls show working out thanks <3

Answers

Multiply the equation by 7, than divide by 3 to get x = 1.1666

a √(x^2-n/m)= a^2/b make x subject

Answers

[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]

Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer

Answers

Answer:

Leo

Step-by-step explanation:

Leo > Wes

Wes > Ella

Leo > Wes > Ella

Answer:

Leo's hair is longer than both Wes's and Ella's hair.

Step-by-step explanation:

Leo's hair> Wes's hair>Ella's hair

A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?

Answers

the percent decrease in length is 60%


if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)

Answers

Answer:

The value of [tex]gof (-2)=79[/tex]

Step-by-step explanation:

We have

[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]

Now we need to find

[tex]gof (-2)=g(15)[/tex]

[tex]g(15) =5\times15+4\\\\=79[/tex]

6) There are 350 calories in
cups of spaghetti. How
many calories are in two cups?
Working With Food

Answers

700 calories!
350*2= 700
700/2= 350
700/350= 2

-1/3 x + 5 ≤ 2 answerrrrrrrrrrrr

Answers

Answer: x ≥ 9

Step-by-step explanation: -1/3x + 5 ≤ 2

                                              -1/3x + 5 -5 ≤ 2 - 5

                                              -1/3x ≤ -3

                                               -1/3x/(-1/3) ≤ -3/(-1/3)

                                               x ≤ -9

                                               x  ≥ 9

Answer: Inequality form X >- 9

Step-by-step explanation:

isolte the varible by dividing each side by factors that dont cotain the variable

Darin bought a new pair of soccer cleats for $59.99. The sales tax is 6.5%. What is the total cost the Darin will pay?

Answers

Answer $63.89

Explanation
59.99 x 6.5% = 3.899 = 3.9
59.99 + 3.9 = 63.89

Answer: $63.89

Step-by-step explanation:

In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.

[tex]59.99 + .065(59.99) = $63.889[/tex]

$63.889 rounded is equal to: $63.89

triplicate ratio of 2:1 is​

Answers

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal

Answers

Answer:

Step-by-step explanation:

50/100 = 1/2 or 0.5

25/100 = 1/4 or 0.25

(4z^7+1/z^7)^2 how do i solve this?

Answers

Answer:

if i am correct this is the formula you asked?

[tex](4z^7+\frac{1}{z}^7)^2[/tex]

Step-by-step explanation:

the answer is

[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]

if i put the wrong equation tell me so i can do it again

:)

What are the outliers for 7,1,9,9,12,25,9,7,7,

Answers

The outliers are 1 and 25.

can someone help me pls

Answers

Answer:

i think you add them not sure...

Step-by-step explanation:

40+44+44+??

ok?

Answer:

x=88°

x-44°=88°-44°=44°

Step-by-step explanation:

angle A+ angle B+angle C=180°

48°+x-44°+x°=180°

=48°-44°+x°+x°=180°

=4°+2x°=180°

=4°-4°+2x°=180°-4°

=2x°=176°

=2x°/2=176°/2

=x°=88°

x°-44°=88°-44°

=x°-44°=44°

Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.



Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8

Answers

Answer:

Step-by-step explanation:

i think that it is either -7 - -8 or -7 + 8 or -7+-8.

Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are

Expression a  = 7 - 8

Expression b = -8 - (-7)

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given,

Greg records deposit of $7

He records purchase of $8 b

Total change = 7 + (-8)

Expression a  = 7 - 8

Expression b = -8 - (-7)

Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.

Learn more about expression here:

https://brainly.com/question/14083225

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Complete all 10 problems

Answers

Answer:

11. 10+2r  12.-7v+7  13.1-2b  14. 5n+10  15. 12v  16.-12n  17. 0  18. -4n+10  19. 5b+9   20. 5v-8

Step-by-step explanation:

Sorry I don't have much time. I'll just send you a tip

If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.

You're lucky because I just answered this. Thanks!

:)

F(x)=-2x+4 g(x)= -2x^3 -3

find f(4) and g(-3)

simplify as much as possible

Answers

f(4)= -4 and g(x)= 213

tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?

Answers

Answer: Tyson is 188 centimetres tall.

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.

Answers

Answer:

Inequality: 30 - 3d ≤ 20

Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day

Step-by-step explanation:

Translate theconditions into mathematical terms:

HIgh temperature on Monday = T₀ = 30°C.

The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d

That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:

30 - 3d ≤ 20

And that is the requested inequality.

From that, you can solve for the rate of temperature decrease, d:

Add 3d to both sides: 30 ≤ 20 + 3d

Subtract 20 from both sides: 10 ≤ 3d

Divide both sides by 3: 10/3 ≤ d

Apply symmetry property: d ≥ 10/3

Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.

Answer:

30 - 3d ≤ 20

d≥10/3

Step-by-step explanation:

Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.

Answers

Answer:

121 inches

Step-by-step explanation:

See the attached diagram.  We can form a right triangle as shown.  The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height.  Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.

How do I Solve for 5x+2=180

Answers

=> 5x + 2 = 180=> 5x = 180 - 2=> 5x = 178=> x = [tex] \frac{178}{5} [/tex]=> 35.6

At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?

Answers

Answer:

The temperature decreased by 43 degrees

-43

Step-by-step explanation:

Difference means subtraction

37 - (-6) = -43

I hope this helps!

f(x)=2x-3 for f(x)=9

Answers

Answer:

15

Step-by-step explanation:

f(x)=2x-3, for f(x)=9

2(9)-3

18-3=

15
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