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4 years ago

5.62 as a mixed number in simplest form

Mathematics

2 answers:

Andrej [43]4 years ago

6 0

5.62 would be 5 62/100 then you can simplify the fraction down
62/100 - 31/50
5 31/50
Hope I helped :)

Gnoma [55]4 years ago

6 0

The answer is 5 31/50 as a simplest form

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A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

3 years ago

Write the inverse of the conditional statement. If a shape is a rhombus, then it has four congruent sides.

Vaselesa [24]

You write the inverse of a conditional statement by negating both the hypothesis and the conclusion.

So, the inverse of

$p\implies q$

$\lnot p \implies \lnot q$

So, in your case, the inverse of your statement is

If a shape is not a rhombus, then it doesn't have four congruent sides.

6 0

3 years ago

Two candidates ran for class president. The candidate that won received 80% of the 320 total votes. How many votes did the winni

Ede4ka [16]

Answer:

256

80÷100×320=256

80÷100=0.8

0.8×320=256

3 0

2 years ago

Sofia got a raise, from an annual salary of $43,000 to $44,505. what percent was her raise?

PSYCHO15rus [73]

Answer:

c) 3.5%

Step-by-step explanation:

First, determine the difference between their old and new salary:

$44,505 – $43,000 = $1,505

Next, divide the raise amount by the old salary:

$1,505 / $43,000 = . 035

To turn the decimal into a percentage, multiply by 100

0.35x100=3.5%

6 0

3 years ago

The distance between Frankfurt and Prague is 432.5 km. Alex left Frankfurt at 10 AM and started traveling to Prague at 60 km/h.

viva [34]

Answer:

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt

Step-by-step explanation:

We are given that the distance between Frankfurt and Prague is 432.5 km.

Distance bw Frankfurt and prague, s(F&P) = 432.5km

Alex left Frankfurt at 10 AM and tavelled at 60 km/hr. At noon i.e 12 PM Michael started traveling from Prague to Frankfurt, which means that Alex travelled 2 hour before Michael started, so lets calculate that distance first.

At 10 AM:

Time travelled by Alex, t = 2hr

Speed, v = 60km/hr

Distance, s(Alex) = v × t = 60 × 2 = 120 km

At noon 12 PM:

Now that Alex has covered 120 km from Frankfurt, he is now 432.5 - 120 = 312.5 km away from Michael at 12 PM.

Distance between Michael and Alex is now 312.5 km

Now Micahel will start moving towards Frankfurt at a speed of 65km/hr

And Alex is also coming towards Prague at a speed of 60km/hr

As they are moving toward eachother their speed will be taken as cumulative.

Speed, v = 65 + 60 = 125

Distance between the two, s = 312.5km

Time t = $\frac{s}{v}$ = $\frac{312.5}{125}$ = 2.5 hr

In these 2.5 hr Alex will cover a distance at 60km/hr = 2.5 * 60 = 150

He was already 120 km away from Frankfurt so they will meet at 120 + 150 = 370 km away from Frankfurt

5 0

3 years ago