MATHEMATICS HIGH SCHOOL

Which of the following expresses the number ofmeters a contestant must travel in a 3-lap race where
the course is a circle of radius R meters?
F. 3R
G. 3πR
H. 3πR^2
J. 6R
K. 6πR

Answers

Answer 1
Answer: 1\ lap\to2\pi R\n\n3\ lap\to3\cdot2\pi R=6\pi R\n\nAnswer:K.

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the sum of Marys age and her moms age is 67.  Three times Marys age increased by 7 is her moms age.  How old is Mary and her mother
A furniture company makes large and small chairs. A small chair takes 30 minutes of machine time and 75 minutes of labor to build. A large chair takes 40 minutes of machine time and 80 minutes of labor to build. The company has 57 hours of labor time and 26 hours of machine time available each day. How many of each type of chair is built in a day?
What is the equation of the line?
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What is the solution to the following equation? 5x + 7x = 60

Pls I need help !!!!!!!

Answers

Answer:

-3 -4

Step-by-step explanation:

Bc it's why not ...... ummmmmmm

HELP ASAP
please answer the question below its a screenshot

Answers

The answer is the first one

A physical fitness association is including the mile run in its secondary- school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

Answers

Answer:

0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 440 seconds

Standard Deviation, σ = 50 seconds

We are given that the distribution of time is a bell shaped distribution that is a normal distribution.

Formula:

z_(score) = \displaystyle(x-\mu)/(\sigma)

P(run the mile in less than 325 seconds)

P(x < 325)

P( x < 325) = P( z < \displaystyle(325 - 440)/(50)) = P(z < -2.3)

Calculation the value from standard normal z table, we have,  

P(x < 325) = 0.0107 = 1.07\%

0.0107 is the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

A gourment shop wants to mix coffe beans that cost $3.00 per pound with coffe beans that cost $4.25 per pound to create 25 pounds of a new blend that cost $3.50 per pound. Find the number of pounds of each nerded to produce the new blend

Answers

If the gourmet shopkeeper mix 15 pounds of coffee beans which costs 3.0$ per pound with 10 pounds of coffee beans costing 4.25$ per pound.
The mixture of 25 pounds will cost 3.5$ per pound.

It can be found using 
3*x + 4.25*(25 -x) = 25*3.50

Tulio Fernandez purchased a treadmill with an installment loan that has an APR of 12%. The treadmill sells for $1,672. The store financing requires a 10% down payment and 12 monthly payments. What is the finance charge?

Answers

Answer:

98.76

Step-by-step explanation:

22 i think and i hope mostly

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.y = 4
x = 5
y = 7
x = 7

Answers

Answer:

y = 7

Step-by-step explanation:

x=4 is a vertical line that goes through the point x=4. y value of this graph changes while x value will be 4 at every point of the graph.

A line perpendicular to this will be a horizontal line with a fixed y value and the x value will change.

The coordinates of the point of which the line has to pass is given as (5,7). Which means the y coordinate of this line is 7.

As we have established that this line has to have same y value at each point just like x=4 has same x value at each point, we can say the equation of the line is y=7.

Solution:

Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).  

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

Option (C) →y=7
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