red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawrence, at a constant speed of 12 km/h. when t=0, the red bike is 10 km north and the blue bike is 6 km east of Lawrence a. express the distance of the red bike from Lawrence, R, as a function of time in hours, t. b. express the distance of the blue bike from Lawrence, B, as a function of time in hours, t.

Answers

Answer 1

Answer:

a.[tex]R=10-24t[/tex]

b.[tex]B=6+6t[/tex]

Step-by-step explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

[tex]Distance=speed\times time[/tex]

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

[tex]R=10-24\times t[/tex]

[tex]R=10-24t[/tex]

b.

Distance of the blue bike from Lawrence

[tex]B=6+6\times t[/tex]

[tex]B=6+6t[/tex]


Related Questions

What is the approximate volume of the cylinder?

Answers

Answer:

V ≈ 509 m3 ← This is an approximate answer, rounded to the nearest whole. To calculate the volume of a cylinder, multiply the area of the base (Πr2) times the height (h). This gives the formula V = Πr2h.

If f(x) = 2x2 + 4 and g(x) = x - 6, determine f(-5) - g(-5).
53
-49
55
65
which one is the answer

Answers

Answer:

65

Step-by-step explanation:

f(x) = 2x² + 4

g(x) = x - 6

f(-5) = 2 * (-5)² + 4

= 50 + 4

= 54

g(-5) = - 5 - 6

= - 11

f(-5) - g(-5) = 54 + 11 = 65

Hope it will help you :)

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Answer:

The correct answer is B

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

A

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Simply 8t + 6r - 3t + 2r

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Answer: 8r+5t

Step-by-step explanation:

8t + 6r - 3t + 2r

8t-3t= 5t

6r+2r=8r

= 8r+5t

Answer:

The answer would be 8r + 5t

A large pizza has 12 slices, a medium has 10 slices, and a small has 8 slices. Write an expression to show total number of slices in 2 large pizzas 3 medium and 1 small, then solve... I really need help

Answers

Answer:

[12(2) + 10(3)] + 8 = 62

Step-by-step explanation:

I hope this works. :)

3x=6y-3 (table of values)

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Answer:

The image I put is the answer.

Step-by-step explanation:

(7th grade math question)

In a week Dave will spend 150 minutes on cardio exercise and 75 minutes on weights. On Monday Dave spent 30 minutes on cardio and 15 minutes on weights. What percentage of his total exercise time for a week did Dave spend exercising on Monday?

A) 20%
B) 25%
C) 10%
D) 50%

Please answer soon​

Answers

A) 20%

If this answered help you then please consider marking it as brainliest to help me level up to expert

He spent 20% of his exercise time for the week on Monday!

How I got this is by finding the total amount of time spent exercising in the week and the total amount of exercise on Monday. I found that one fifth (1/5) of his exercise time was spent on Monday, or in percentage form, 20%!

Hope this helps, if not, comment below please!!!

:L

:Harley read 10 books in January, 15 books in February, 8 books in March
and 7 books in April. What is the average number of books Harley read per
month?

Answers

Answer:

I think 10

Step-by-step explanation:

you ad up the books so you would have 10+15+8+7=40. Then you divide by 4 to get the average. So it equals 10.

Sarah changed the quadratic function x^2 - 8x+10 from
standard form to vertex form using the method
of completing the square. What number did Sarah add to
both sides of the equation during the process?
a. -8
b. 16
C. 10
d.-4

Answers

Answer:

is d because the vertex is not helping the square

Step-by-step explanation:

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Answers

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Step-by-step explanation:

Which is the same as 10/3?

Answers

Answer:

3.33 repeating or 3 and 1/3

Step-by-step explanation:

If you divide 10 by 3 you get a repeating decimal of 3.3333...

or if you make the fraction into a mixed number, it would be 3 and 1/3

HURRY!
What are all the possible rational solutions for x^4-3x^2+2x5=0

Answers

Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm

Answers

Answer:

parallelogram 's perimeter =2(8.2+6.5)

""" =2×14.7

... = 29.4

perimeter of triangle=7.2+6.1+9.6

""""" =22.9

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Answers

Answer:

38.5

Step-by-step explanation:

First do 77/2 then you get 38.5, if anything is wrong please tell me!!

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Answers

Answer:

look I have sent you the answer of your question.

This trinomial can be factored as two binomials.

So setup two sets of parenthses.

8x² can be factored as 8x · x or 4x · 2x

and -3 can be factored as +3 · -1, -1· +3, -3 · +1, or +1 ·-3.

If the middle term in the original trinomial is even,

try pairs of even factors first if you have that option.

In this case, we have a 4x and a 2x so let's try those first.

Let's do this with all the factors of -3.

So our first possible answer could be (4x + 3)(2x - 1).

Since the product of the outer terms, -4x, plus the product of the inner, 6x,

doesn't add to our middle term, this pair doesn't work.

Now let's try (4x - 1)(2x + 3).

The product of the outer terms, 12x, plus the product of the inner, -2x,

equals the middle term in our original trinomial, this pair works.

So our answer is (4x - 1)(2x + 3).

On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

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Jenna borrows $8,000 for college at a yearly simple interest rate of 6%. She takes
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the total amount she pays?

Answers

Answer:

The interest will rack up to $7,200

The total will be $15,200

Step-by-step explanation:

the interest she pays is $7,000

the total amount she pays is $15,200

Jenna borrows $8,000 for college at a simple interest rate of 6%

she has 15 years to pay back the loan and interest

the interest can be calculated as follows

= 6/100 × 8,000

= 0.06 × 8000

= 480

= 480 × 15

= $7200

the total amount she pays can be calculated as follows

= $7200 +$8000

= $15,200

Hence the interest she pays is $7200 and the total amount is $15,200

please see the link below for more information

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What is the missing value ? i’ll mark brainlist

Answers

50 i think................

Answer:

50

Step-by-step explanation:

need help im dum (not really but i dont get it)


i will give brainliest

Answers

Answer:

20

Step-by-step explanation:

to do % you have to multiply your number (50) by the % which is 40%

but you have to turn your number into a decimal (.40) then multiply

you'll get 20 and there is your answer!

hope this helps!

I need to know what the difference of this expression is.

(4 - 5i) - (12 + 11i)​

Answers

Answer: -10-16i

Step-by-step explanation:

Given

(4-5i)-(12+11i)

Expand parenthesis

2-5i-12-11i

Put like terms together

(2-12)-(5i+11i)

Combine like terms

-10-16i

Hope this helps!! :)

Please let me know if you have any questions

a) Find the value of 1.69 x 4.41
b) Find the value of (2.63 -0.87) - 2.076​

Answers

Answer:

7.4529

Step-by-step explanation:

1.69 x 4.41=7.4529

a number p divided by 7 is less than -3​

Answers

p/7 < -3
,,,,,,,,,,,,,,,

The inequality expression is p ÷ 7 < -3.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Number = p

Now,

A number p divided by 7 is less than -3​

This can be written as,

p ÷ 7 < -3

p/7 < 3

p < (7 x 3)

p < 21

Thus,

The number p is less than 21.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Please help if you can, thanks

Answers

Answer:

what does the picture say

Please anyone help anyway you can

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D=2R
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This app won't let me do short answer

Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?

Answers

Answer:

0.000725 i think :)

Step-by-step explanation:

   Divide the number by 100 (move the decimal place two places to the left).

   Multiply this new number by the percentage you want to take off.

Answer- 171.75
You multiply your original cost (229) by the percent it’s on sale for (.25) then you get $57.25. That is how much is being taken off of the original price so you would subtract 229 by 57.25 to get your answer of $171.75.

***HURRY TIMED TEST***
***WILL MARK BRAINLEST***
If f(x) = 8x + 7 and g(x) = square root x + 2, what is (fºg)(2)?​

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Answer:

[tex]8x + 7 =15 \\ gx + 2 =4 \\ [/tex]

Does any one know how to do 2r+4<8 it’s aggravating me

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Answer:

Step-by-step explanation:

2r+4<8

subtract 4 from both sides

2r<4

divide by two

no need to reverse the sign since you are not dividing by a negative number

r<2

In a student election, Derrick got 10% of the votes. If Derrick got 5 votes, how many total students voted?

Answers

Answer:

50 students voted

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.

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