a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.

b. What are the speeds of the two cyclists? _______________

Answer:

a) The **given equation **using the information as it is given above that can be solved to answer this problem is **4r + 4(r+3) = 68**

b) The **speed **of both cyclists are **3mi/hr and 10mi/hr** respectively

The formula for calculating the **distance** covered is expressed as:

Distance = speed * time

Let the **speed covered **by one cyclist be t

If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3

If both meet after 4 hours of riding, then their time will be 4 hours

Distance covered the first cyclist = 4r

Distance covered by the second = 4(r+3)

If the two cyclists are 68 miles apart, then:

4r + 4(r+3) = 68

a) The** given equation** using the information as it is given above that can be solved to answer this problem is **4r + 4(r+3) = 68**

b) Expand the equation in a to get "r"

4r + 4r + 12 = 68

8r + 12 = 68

8r = 68 - 12

8r = 56

r = 56/8

r = 7miles per hour

Speed of the first cyclist = 7mi/hr

Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr

Hence the **speed **of both cyclists are **3mi/hr and 10mi/hr** respectively

Learn more here: brainly.com/question/19915685

Answer:

**Answer:**

**4r + 4(r + 3) = 68**

**r = 7 miles per hour**

**r + 3 = 10 miles per hour**

**Step-by-step explanation:**

distance = rate * time

a)

4r + 4(r + 3) = 68

Distribute

4r + 4r + 12 = 68

8r + 12 = 68

8r = 56

r = 7 miles per hour

r + 3 = 10 miles per hour

Solve for the indicated variable in each math formula. 1.C=2(3.14)r for r 2.A=1/2bh for b 3.y=Mx+b for x 4.A=1/2(a+b)h for h 5.V(3.14)r(r)h for h

A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Increase the sample size. Choose a 0.01 significance level instead of a 0.05 significance level.

Liam uses checks and a debit card, but does not always write all the transactions in his checkbook register. He has lost track of his checkbook balance. Liam looks up the “available balance” using online banking, and writes it on the next line as his new checkbook balance available to spend. What is wrong with Liam’s method?a.Liam’s method fails to consider whether he has written any outstanding checks.b.The reconciliation worksheet will not work properly using Liam’s adjusted checkbook balance.c.Liam could have unexpected non-sufficient funds fees due on any checks that have not yet cleared the bank.d.All of the above.Please select the best answer from the choices providedABCD

The linear equation of the initial (red ) incline would be y = __x +__

A study was conducted to investigate the relationship between soda consumptions (servings per day) and weight gain (kgs) over a 2 year period and yielded the following linear regression results: weight gain over a 2 year period (kgs) = 4.5 + 0.25(servings of soda per day) what is the predicted weight gain over a 2 year period for someone that drinks 4 servings of soda per day?

Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Increase the sample size. Choose a 0.01 significance level instead of a 0.05 significance level.

Liam uses checks and a debit card, but does not always write all the transactions in his checkbook register. He has lost track of his checkbook balance. Liam looks up the “available balance” using online banking, and writes it on the next line as his new checkbook balance available to spend. What is wrong with Liam’s method?a.Liam’s method fails to consider whether he has written any outstanding checks.b.The reconciliation worksheet will not work properly using Liam’s adjusted checkbook balance.c.Liam could have unexpected non-sufficient funds fees due on any checks that have not yet cleared the bank.d.All of the above.Please select the best answer from the choices providedABCD

The linear equation of the initial (red ) incline would be y = __x +__

**Length **of a **curve **is the **length **of its **plot **its curve. The **length **of the given **curve **for given **range **of t is: L = 1.44 units approx.

If the **curve **has **position vector **p(x) for value of x ranging from x = a to x = b,

then, the curve's **length **is calculated as:

units.

For the given case, we have:

**Position vector** =

Its **differentiation **gives:

Its non **negative magnitude **is: ||R'(t)|| =

Thus, as t ranges from a = 0 to b = 1, thus, length of the curve is:

Thus,

The **length **of the given **curve **for given **range **of t is: L = 1.44 units approx.

Learn more about **length **of the **curve **here:

curve equation is

,0≤ t≤ 1

now taking the differentiation

now taking the modulus

=

now taking the integration

length of the curve =

now put the value v= 4 + 9t²

dv= 18 tdt

now put this value in the above equation

we get

length of the curve =

now taking integation we get and put the value of the v

we get

= × ×

=

now find out the length of the curve in the interval from 0 to 1.

length of the curve

Hence proved

**Answer:**

x = 22

y = 35

**Step-by-step explanation:**

Because its an isosceles triangle, you know the base angles are equal so:

Solving:

subtract 2x from both sides

add 11 to both sides

Next, find the angle measures of the two base angles:

To find y, you know that the interior angles of the whole triangle add up to 180, so you have

solving,

subtract 110 from both sides

divide both sides by 2

**Answer:**

x =22°

y =35°

**Step-by-step explanation:**

3x-11 = 2x+11

then x =22°

and 2y = 180-(55+55)

2y = 70

y = 45°

The new **median **of the **data set** will be 616.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The** data set** is,

⇒ 14, 20, 18, 58, 71, 36

Now,

Since, The data set is,

⇒ 14, 20, 18, 58, 71, 36

**Multiply **by 22 in each number , we get;

⇒ 14 × 22, 20 × 22, 18 × 22, 58 × 22, 71 × 22, 36 × 22

⇒ 308, 440, 396, 1276, 1562, 792

Arrange the number is ascending order we get;

⇒ 308, 396, 440, 792, 1276, 1562

So, The median of data set = (440 + 792) / 2

= 1232/2

= 616

Thus, The new **median **of data set = 616

Learn more about **the median** visit:|

#SPJ2

**Answer:**

If each of the numbers in the following data set were multiplied by 31, what would be the median of the data set?

28, 58, 20, 14, 18, 71, 36

A. 558

B. 1116

C. 434

D. 868

**answer**

**D.868**

Answer is A

A. 3x /3ysqrtof2. Multiply numerator and denominator by sqrt of 2

Then you have 3xsqrt of 2 /. 6y reduce by 3 both numerator and denominator

You have x sqrt of 2 / 2y

Then you have 3xsqrt of 2 /. 6y reduce by 3 both numerator and denominator

You have x sqrt of 2 / 2y

**Answer:**

213 crates

**Step-by-step explanation:**

There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.

B. 6 x 6,766 = ________

C. one half x 6,766 = ________

D. 1 x 6,766 = ________

A and C

D and B

A and B

C and D

please help giving brainlyest

A and C are the correct answers.

I hope this helps.

A and C I Think......