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2 months ago

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2 months ago

X= x(2)+7x+9×=

2(x)+7x+9x=

9x+9x=

×=18

2(x)+7x+9x=

9x+9x=

×=18

Question

In his new living room, Kirk installed carpeting on 1/2 of the floor and tile on another 1/4 of the floor. What fraction of the floor is now covered by either carpet or tile?

Solution 1

To find the total amount of floor covered add the amount of carpeting and tiling together. So 1/2 = 2/4, then 1/4 + 2/4 = (1 + 2) / 4 = 3/4. 3/4 of Captain Kirk's floor is covered.

Question

A holding pen for cattle must be square and have a diagonal length of 84 84 meters. a. find the length of a side of the pen.
b. find the area of the pen.

Solution 1

We know that

Applying the Pythagoras Theorem

c²=a²+b²

in a square

a=b

c is the diagonal-----> 84 m

c²=2a²--------> a²=c²/2-----> a²=84²/2-----> a²=3528-----------> a=√3528 m

the answer part a) is

√3528 m or 59.40 m

the area of the pen is a²------> 3528 m²

**the answer Part b) is **

**3528 m²**

Applying the Pythagoras Theorem

c²=a²+b²

in a square

a=b

c is the diagonal-----> 84 m

c²=2a²--------> a²=c²/2-----> a²=84²/2-----> a²=3528-----------> a=√3528 m

the answer part a) is

√3528 m or 59.40 m

the area of the pen is a²------> 3528 m²

Question

Sara loves to go hiking. This week she hiked 3 miles on Monday, 4 miles on Tuesday, and 3 miles on Thursday. Last week Sara hiked 8 miles. How many more miles did Sara hike this week than last week?*

Solution 1

This week, the total = 3 + 4 + 3 = 10 miles

Last week = 8 miles.

The number more = 10 - 8 = 2 miles.

2 miles more.

Last week = 8 miles.

The number more = 10 - 8 = 2 miles.

2 miles more.

Question

Use the intercept form to find the equation of the line with the given intercepts. the intercept form of the equation of a line with intercepts (a, 0) and (0, b.is

Solution 1

Assuming that the "given intercepts" are (a,0) and (0,b), the equation of the line thru these 2 pts. is easily found thru use of the point-slope formula:

b-0

m = -------- = -b/a

0-a

Then y-0 = (-b/a)(x-a), or y = (-b/a)(x-a) (answer)

b-0

m = -------- = -b/a

0-a

Then y-0 = (-b/a)(x-a), or y = (-b/a)(x-a) (answer)

Question

donovan bought 5 1/2 pounds of flour for $ 8.25. How much did the flour cost per pound? Give your answer in the correct dollar form.

Solution 1

Unit price per pound = $ 8.25 / 5.5 = $1.50

answer

the flour cost $ 1.50 per pound

answer

the flour cost $ 1.50 per pound

Solution 2

We want the unit rate: cost of flour per pound.

$8.25

--------- = $1.50/lb

5.5 lb

$8.25

--------- = $1.50/lb

5.5 lb

Question

A price of a new car was £12500
It was reduced to £11625
Work out the percentage reduction

Solution 1

£12500 - £11625 = £875

£875 / £12500 = 0.07 = 7%

answer

7%

£875 / £12500 = 0.07 = 7%

answer

7%

Question

How many ounces of water should you drink for every 20 minutes of activity? 12?

Solution 1

Yes because it a fact

Question

How to find an area of a circumbscribed hexagon using the diameter?

Solution 1

The formula for the area of a circumscribed hexagon = 1/2 * 6 * a * r where a = side length and r = radius of the circle ( = 1/2 the diameter) so in terms of the diameter and side length its 1/2 * 1/2 * 6 *d * a = 1.5 ad.

You can calculate the value of a by using trigonometry You consider one of the 6 isosceles triangles that make up the hexagon. The vertex angle of these triangles = 60 degrees so:-

tan 30 = 1/2 a / r = 1/2 a / 1/2 d = a/d

a = d tan 30 = sqrt3 d / 3

Substituting for a :-

So the required formula for the area of the hexagon = 1.5 ad

= 1.5 * sqrt3 d * d / 3 = 1/2 sqrt3 d^2 Answer

You can calculate the value of a by using trigonometry You consider one of the 6 isosceles triangles that make up the hexagon. The vertex angle of these triangles = 60 degrees so:-

tan 30 = 1/2 a / r = 1/2 a / 1/2 d = a/d

a = d tan 30 = sqrt3 d / 3

Substituting for a :-

So the required formula for the area of the hexagon = 1.5 ad

= 1.5 * sqrt3 d * d / 3 = 1/2 sqrt3 d^2 Answer

Question

How much money must be deposited today to become $1300 in 20 years at 7.5% compounded continuously?

Solution 1

Use the formula for Amount for continuous compounding:

A = Pe^(rt)

Here A = $1300, r = 0.075 and t = 20 yrs. Thus,

1300 = P*e^(0.075*20), or 1300 = P (4.482).

$1300

Solving for P: P = ----------------- = $290.07 (answer)

4.482

A = Pe^(rt)

Here A = $1300, r = 0.075 and t = 20 yrs. Thus,

1300 = P*e^(0.075*20), or 1300 = P (4.482).

$1300

Solving for P: P = ----------------- = $290.07 (answer)

4.482

Question

How to find all values of x where the tangent line is horizontal?

Solution 1

Your question is a rather general one. However, it can be said that differentiating the given function of x with respect to x and setting the result = to 0, then solving for x, will produce all values of x where the t. l. is horizontal.

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