Which of the following expressions represents a number (n) less then 12 ?

Answers

Answer 1

Answer: 12 - n because the number (n) would be subtracted from 12

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What is the answer to this equation 35 = - 5/9x
5.4 5.400 less greater
What is the number 82,500 written in scientific notation?

How many weeks are in 5 years

Answers

- -- There are 260.714 weeks total in 5 years.

But you can round by doing this:

52*5=260

This is because you have 52 weeks in a year and 55 years so you multiply.

52 weeks per year x 5 years = 260 weeks

Describe the steps you can use to find an average of fractional amounts

Answers

Answer:

Average of number is equal to sum of numbers by total no.

i.e., $Average\,=\,(Sun\,of\,numbers)/(Total\,no)$

Now when numbers/amounts are fraction then there is one extra step which is to add the fractions.

Lets say we have to find average of 2 fractions i.e., $(3)/(4)\,,\,(5)/(3)$

$\implies\,Average\,=\,((3)/(4)+(5)/(3))/(2)$

Step 1 : First to add the fractions find the LCM of denominator as There are unlike fractions

3 = 1 × 3

4 = 1 × 4

LCM of 3 and 4 = 3 × 4 = 12

Step 2: To make them like fraction we find equivalent fraction of each fraction whose denominator equal to 12

$(3)/(4)*(3)/(3)=(9)/(12)$

$(5)/(3)*(4)/(4)=(20)/(12)$

Step 3: Adding both fractions

$(9)/(12)+(20)/(12)=(9+20)/(12)=(29)/(12)$

Step 4: put these value in average formula

$\implies\,Average\,=\,\frac{(29)/(12){2}$

Step 5: Now we divide $(29)/(12)$ by 2 using fraction division .i.e., multiply the reciprocal of divisor with dividend

here 2 is divisor

Reciprocal = $(1)/(2)$

$\imples Average=(29)/(12)*(1)/(2)=(29*1)/(12*2)=(29)/(24)$

Following these steps Average of fractional amount of any no can be found.

1. first make the denominators of the set the same.
E.g. $(2)/(7)+ (4)/(3)$ = $(6)/(21) + (28)/(21)$ = $(34)/(21)$

2. Divide the total by the number of fractions added together: In this case it was 2 so:
$(34)/(21) * (1)/(2)$ = $(34)/(42)$

3. Simplify the total: $(17)/(21)$

In playing from the tee, a golfer hooks his drive (hits the ball to the left of the correct direction) at an angle of 24 from the intended direction. He estimates that he has driven the ball 215 yards and that it lies 100 yards from the hole. Assuming his estimates are correct, what is the distance from the tee to the hole, to the nearest yard?

Answers

Answer:

245 yards

Step-by-step explanation:

You could say the tee is at (0, 0) and the hole lies on the x-axis.

The path of the ball is the straight-line so, y = tan(24°)x

215cos(24°) = 196.4

215sin(24°) = 87.4

The ball lands at coordinates (196.4, 87.4).

They say the ball lands 100 yards from the hole, the hole is on a circle of radius 100 that is centered at (196.4, 87.4).

Equation of the circle:

(x-196.4)² + (y-87.4)² = 100²

Since the hole is on the x-axis, it lies at the intersection of the circle and the line y = 0 so:

(x - 196.4)² + (0 - 87.4)² = 100²

x = 244.92

The distance between tee and hole is 245 yards.

Answer:

245 yards

Step-by-step explanation:

Tracy is running in a 5.25km race on Saturday. a marathon is approximately 42km.
how many times as long as Tracy's race is a marathon.

Answers

how amny times more is marathon than tracy's race
tracy t imes x=42
5.25 times x=42
divide both side by 5.25 (since 5.25/5.25=1)
x=8

answe ris 8 times

Answer:

x-8

Step-by-step explanation:

WHAT IS 24 DIVIDED BY 48 WITH WORK PLEASE