if you can solve this ill give you the brainliest.

Answer:

Explanation:

1. Calculate the average speed of train B

2. Build a table

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

                  [tex]\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles[/tex]

4. Calculate the time:

The two trains will meet after 1.7 hours

Answer:

1.7

Step-by-step explanation:

Final answer:

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

Explanation:

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

Next, we set each factor of the denominator equal to zero to find the excluded values:

Therefore, the excluded values are t = -3/2 and t = 3/2.

The excluded values for the fraction are t = -3/2 and t = 3/2, which are obtained by factoring the denominator as a difference of squares and setting each factor equal to zero.

The question involves determining the excluded values for the fraction 7t2 − 14t over 4t2 − 9. Excluded values are values of t that would make the denominator equal to zero, since division by zero is undefined in mathematics. To identify the excluded values, we must factor the denominator and then set it to zero and solve for t, to see for which values the fraction is undefined.

First, notice that the denominator is a difference of squares, which factors as follows:

4t2 − 9 = (2t + 3)(2t - 3)

Next, we set each factor of the denominator equal to zero to find the excluded values:

2t + 3 = 0, which yields t = -3/2

2t - 3 = 0, which yields t = 3/2

Therefore, the excluded values are t = -3/2 and t = 3/2.

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              [tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       [tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]

                             ( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )

               25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]

                           25 + 1 -2x = 0               ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Answer:

$35.79

Step-by-step explanation:

Bill:                   $28.35

Tip of 20%:      $5.67     ( 28.35*0.2)

Tax of 6.25%:  $1.77      ( 28.35*6.25)

Total:               $35.79

Answer:

$35.79

Step-by-step explanation:

28.35(0.2 tip)

=5.67

28.35(0.0625 tax)

=1.77

$28.35 + $5.67 tip + $1.77 tax

=$35.79

Hope this helps

please mark me brainliest it would help(✿◠‿◠)

Answer:

0.143

Step-by-step explanation:

From counting principle, we can say that:

There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?

We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So

Probability Xerxes arrives first = 6!/7! = 0.1429

Rounding to 3 decimal places, it will be:

Probability Xerxes arrives first = 0.143

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Answer:

the 1 left 3 up one is the 3rd one first row

the 1 left and 3 down is the 2nd one first row

the 3 right and 3 down is the 1st one first row

mark branliest if possible thanks

Answer:

Step-by-step explanation:

[tex]\frac{QT}{Q'T'}=\frac{1}{2}\\[/tex]

Scale factor:

1:2

Answer: I believe that the answer is y=4x

Step-by-step explanation: y=4*4.5= 18

y=4*8.5= 34 I hope I explained it well.

Answer:

down below

Step-by-step explanation:

Point Form:

(−1,−2)

Equation Form:

x=−1,y=−2

Answer:

(- 1; - 2)

Step-by-step explanation:

y = 6 + 8x

2x -3y = 4

2x - 3(6 + 8x) = 4

x = - 1

y = 6 + 8 × (- 1)

y = - 2

(- 1; - 2)

the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Step-by-step explanation:

Step 1: Sketch the curve.

The probability that 58.4<X<69.6 is equal to the blue area under the curve.

Step 2:

Since μ=64 and σ=2.8 we have:

P ( 58.4<X<69.6 ) = P ( 58.4−64 < X−μ < 69.6−64 )=P ( 58.4−64/2.8 <  X−μ/σ< 69.6−64/2.8)

Since Z = x−μ/σ , 58.4−64/2.8=−2 and 69.6−64/2.8=2 we have:

P ( 58.4<X<69.6 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Therefore, the probability of 17-year-old girl in the US that are between 58.4 inches and 69.6 inches is 0.9544 .

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

Hello

This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.

Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.

So as we look at 8x, it needs to equal 40

- 8x=40 divide both sides by 8

- x=5

Hope this helps!

Answer:

X=-1.1 repeated

Step-by-step explanation:

9x - 1= -11

+1= +1

9x = -10

Divide by 9 on both sides

X = -1.1 repeating

Answer:

- 1 1/9

Step-by-step explanation:

9x - 1 = -11

Add 1 to both sides to eliminate -1 on the left side

9x - 1 + 1 = -11 + 1

9x = -10

Divide both sides by 9 to isolate x

9x/9 = -10/9

x = - 1 1/9

Answer:

Both of them

Step-by-step explanation:

Answer:

Both of them

Step-by-step explanation:

Answer:

174 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

A Median is the middle data value of an ordered data set, so, that leads me to believe that the answer is 6

Hope this helps!!

Have a nice day :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

Thats pretty neat

Step-by-step explanation:

Life

Answer:

A. 3,800

Step-by-step explanation:

42,198 - 38,412 = 3786

Final answer:

To find the decrease in the number of registered nurses from last year, subtract this year's nurse count, 38,412, from last year's, 42,198, which results in 3,786, rounded to 3,800 (option a).

Explanation:

The question asks to calculate the difference in the number of nurses registered this year compared to last year. The registered nurses this year are 38,412, and last year there were 42,198 nurses. To find the difference, we subtract the number of nurses this year from the number last year.

Number of nurses last year: 42,198

Number of nurses this year: 38,412

Difference = 42,198 - 38,412 = 3,786

The closest round number to the actual difference (3,786) is 3,800, which is option (a).

Answer:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Hope this helps ;)

Answer:letter c x=30/7

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

Final answer:

To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.

Explanation:

To find the interest and maturity value of each loan, we can use the formula:

Interest = Principal * Rate * Time

Maturity Value = Principal + Interest

(a) For State Savings and Loan, the interest is calculated as:

Interest = $2,600 * 0.0725 * (90/365) = $50.23

The maturity value is:

Maturity Value = $2,600 + $50.23 = $2,650.23

For Security Bank, the interest is calculated as:

Interest = $2,600 * 0.075 * (90/365) = $53.36

The maturity value is:

Maturity Value = $2,600 + $53.36 = $2,653.36

(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.

(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.

(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.

(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.

Answer:

13 feet= 4.33333 yards

Step-by-step explanation:

Answer:

4 yards and 1 foot

Step-by-step explanation:

I yard is 3 feet. 13 divided by 3 is 4 with the remainder of one foot.

Answer:

18 x

7 y+19

-t+16 z

6 x^2 +21 m n

10 x - 6

Step-by-step explanation:

Add the coefficients

Subtract the coefficients

Combine like terms

Combing like terms

Distribute the three into the parenthesis then combine the like terms.

Look at the attached picture ⤴

Hope it will help u........

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

The statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Recall:

Since the data is plotted on a box plot, IQR can easily be gotten which is a measure of spread.

Therefore, the statement that best describes how to measure the spread of the data in the given box plot is: B. The IQR is the best measurement of spread for badminton games and dance competitions.

Learn more about interquartile range on:

https://brainly.com/question/9386254

Answer:

31

Step-by-step explanation:

thats the absolute value

Answer:

54 in cubed.

Step-by-step explanation:

Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!

Answer:

D

Step-by-step explanation:

I tried a it's not right sorry bro

Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

From the question, we are to determine if Larie is correct or not

From the given information,

Laurie needs at least 40 pounds of topsoil.

Then,

If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.

Now, convert 600 ounces to pounds

NOTE: 16 ounces = 1 pound

Then,

600 ounces = (600/16) pounds

600 ounces = 37.5 pounds

Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.

Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Learn more on Weight & Conversion here: https://brainly.com/question/11307613

Answer:

1 team with 4 extra people

Step-by-step explanation:

Final answer:

126 different teams can be formed from a group of 9 players.

Explanation:

To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.

The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),

where

n is the total number of items to choose from,

r is the number of items to be chosen, and

! denotes factorial.

In this case, n=9 and r=5.

Thus, using the combinations formula, we get:

9C5 = 9! / (5! * (9-5)!)

       = 9! / (5! * 4!)

       = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

       = 126 different teams.

Therefore, 126 different teams can be formed from a group of 9 players.