MATHEMATICS HIGH SCHOOL

Nora is running a race that is 26.2 miles. She is running at a speed of 18 miles per hour. She has completed 3/4 of the race. How much longer will it take Nora to finish the race?

Answers

Answer 1

Answer:

Answer:

The answer to your question is 6.55 mi

Step-by-step explanation:

Data

Length of the race = 26.2 mi

speed = 18 mi/h

3/4 of the race have been ran

Process

1.- Calculate 3/4 of 26.2

26.2(3/4) = 78.6/4

= 19.65 mi

2.- Calculate the distance she needs to run to finish the race

= 26.2 - 19.65

= 6.55 mi

3.- Conclusion

She needs to run 6.55 mi to finish the race.

Answer 2

Answer:

Final answer:

Nora will take approximately 21.85 minutes to finish the race.

Explanation:

To find out how much longer it will take Nora to finish the race, we need to first calculate the distance she has already completed. Since she has completed 3/4 of the race, we can calculate it by multiplying the total distance of the race (26.2 miles) by 3/4.

Distance completed = 26.2 miles * 3/4 = 19.65 miles

Next, we need to calculate how much distance Nora has left to cover. Since the total distance of the race is 26.2 miles and she has completed 19.65 miles, the distance left is:

Distance left = 26.2 miles - 19.65 miles = 6.55 miles

Finally, we can calculate the time it will take Nora to finish the race by dividing the remaining distance by her speed:

Time to finish = Distance left / Speed = 6.55 miles / 18 miles per hour = 0.364 hours (or approximately 21.85 minutes)

Therefore, it will take Nora approximately 21.85 minutes to finish the race.

Learn more about Calculating time to finish a race here:

brainly.com/question/32446875

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Find the equation lines
(4, 5)(7, 3)

Answers

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (4,5) and (7,3) is;

$(y - y1) = (y2 - y1)/(x2 - x1) (x - x1)$

Putall values.

$(y - 5) = (3 - 5)/(7 - 4) (x - 4)$

Simplifyit.

$(y - 5) = ( - 2)/(3) (x - 4)$

$3(y - 5) = - 2x + 8$

$3y - 15 = - 2x + 8$

$2x + 3y - 23 = 0$

Therefore therequiredequationis2x+3y-23=0.

Hope it helps..

Factorise- 6y-15y^2
HELP

Answers

We will take the common terms in the expressions-

Here in the expression, 3y is a common term.
So,

$6y - 15y^(2)$

$3y(2 - 5y)$

So, the answer is $3y(2 -5y)$

6y-15y^2
3y(2-5y) (taking 3y as common)
clearly 3y(2-5y) cannot be factorised further hence this is the answer

a goblet contains 3 red balls, 2 green balls, and 5 blue balls. if we choose a ball, then another ball without putting the first one back in the goblet, what is the probability that the first ball will be red and the second will be blue? 3/20

Answers

Answer: $(1)/(6)$

Step-by-step explanation:

The chance of the first ball being red is $(3)/(10)$ .

The chance for the second ball being blue is $(5)/(9)$ , as the red ball is not added back in. To find the chance of both of these happening, you multiply them together.

$(3)/(10)$ · $(5)/(9)$ = $(15)/(90)$ which simplifies to $(1)/(6)$ .

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation(4,2) ; x=-3.
A. y=2
B. y=2x+4
C. y=4x
D. x=4

Answers

I hope this helps you

Jo Bower owns 150 shares of Data General stock. She purchased the stock for $24 a share. She sold her stock for $30 a share. The commissions required to buy and sell her stock totaled $120. Assuming that she received no dividends during the time she owned the stock, what is her total return for this transaction? A. $600 B. $780 C. $900 D. $2,400

Answers

Her expenses:
($24 x 150) + $120 = $3,600 + $120 = $3,720
Her profit:
$30 x 150 = $4,500
Total profit:
$4,500 - $3,720 = $780
Answer: B ) $780

Answer:

$780.

Step-by-step explanation:

Jo Bower owns 150 shares of Data General stock.

She purchased the stock for $24 a share.

So, cost of purchasing 150 shares = $150* 24$

= $3600$

She sold her stock for $30 a share.

So. she sold 150 shares of amount = $150* 30$

= $4500$

So, Profit = SP-CP

Profit = $4500-$3600

Profit = $900

The commissions required to buy and sell her stock totaled $120.

So, her total return for this transaction = 900-120

=780

Hence, Her total return for this transaction is $780.

. Convert 5π/3 to degrees

Answers

$\pi$ radians is equal to 180 degrees.

Convert $\pi$ to 180 to get the following fraction:

$(5 * 180)/(3)$

Multiply 5 and 180 together to get the following fraction:

$(900)/(3)$

Simplify the fraction.

$(900)/(3)$ = 300

The answer is 300 degrees.

π radians = 180 degrees

so 5π / 3 radians = 180 / π * 5 π / 3 = 900 / 3 = 300 degrees Answer

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