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3 years ago

Enter a positive common factor other than 1 of the fractions numerator and denominator 55/80

1 answer:

6 0

They both have 5 in common
if you were to reduce the fraction it would be 11/16 because
55 divided by 5 is 11 and 80 divided by 5 is 16

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You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres

Colt1911 [192]

9514 1404 393

Answer:

rectangle; parallelogram with 90° angle
150 feet
$40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

A+C = (3, 0) +(-2, 10) = (1, 10)

B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

2. Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

(30 squares)(5 ft/square) = 150 ft . . . perimeter

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0

2 years ago

Find the values of x and y. x= y=

mezya [45]

Answer:

7x+90+20=180

7x+110=180

7x=180-110

7x=70

7x/7 = 70/7

X=10

Y=40

7 0

3 years ago

If Angela has $500 to invest at 2.5% per annum compounded quarterly, how long will it be

11Alexandr11 [23.1K]

N = number of compounding periods
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (750 / 500) / 4 * log (1 + .025/n)
Years = log (1.5) / 4 * log (1.00625) 
 Years = 0.17609125906 / 4 * 0.0027058933759
Years = 0.17609125906 / 0.0108235735 
Years = 16.2692348382 

Source Calculator
http://www.1728.org/compint.htm

5 0

2 years ago

O is the centroid. Find the value of x. (Sorry if u cant see the photo :/, but this is Geometry btw)

klemol [59]

Answer: x = 6

==============================================

Explanation:

The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,

OP = 2*MO

and

MP = MO + OP

MP = MO + 2*MO .... replace OP with 2*MO

MP = 3*MO

9x-24 = 3*(x+4) ... plug in the given expressions

9x-24 = 3x+12

9x-3x = 12+24

6x = 36

x = 36/6

x = 6

8 0

3 years ago

Ann car can go 117 miles on 3 gallons of gas. During a drive last weekend, Ann used 8 gallons of gas. How far did she drive?

Nitella [24]

Answer:

Ann drove 312 miles in 8 gallons.

Step-by-step explanation:

Distance covered by Ann's car = 117 miles

Gallons of gas spent by Ann's car to cover 117 miles = 3 gallons

Unit rate = 117 miles / 3 gallons

= 39 miles per gallon

so Ann's car can go 39 miles in one gallon of gas.

Given that Ann used 8 gallons of gas.

Therefore,

Distance covered by Ann's car in 8 gallons = 39 × 8

= 312 miles

Therefore, Ann drove 312 miles in 8 gallons.

6 0

3 years ago