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Otrada [13]
3 years ago
7

What is bigger 1/3 or 3/5

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Method\ 1:

\dfrac{1}{3}=\dfrac{1\cdot5}{3\cdot5}=\dfrac{5}{15}\\\\\dfrac{3}{5}=\dfrac{3\cdot3}{5\cdot3}=\dfrac{9}{15}\\\\\dfrac{3}{15} < \dfrac{9}{15}\ therefore\ \dfrac{3}{5}\ is\ bigger


Method\ 2:

\dfrac{1}{3} < \dfrac{1}{2}=\dfrac{1.5}{3}\\\\\dfrac{3}{5} > \dfrac{1}{2}=\dfrac{2.5}{5}\\\\therefore\ \dfrac{3}{5}\ is\ bigger

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On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30
Troyanec [42]
Assume that the dimensions of the room in the plan are a (width ) by b (length),

such that a*b=30.

Since the scale is 1:100, a represents 100a, and b represents 100b.

So the actual dimensions are 100a by 100b.

The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)



Answer:  300,000 (square units)


8 0
3 years ago
5/8 divided by 3/4 what the answer
charle [14.2K]

Answer:

20/24. Simplified answer is 5/6

Step-by-step explanation:

5/8 divided by 3/4 is the same as asking 5/8 times 4/3

When dividing a number by a fraction, you can always just multiply by the fraction with its numerator and denominator switched!

So, now we have 5/8 times 4/3

Step 1: Multiply the numerators together. 5 times 4 = 20

Step 2: Multiply the denominators together. 8 times 3 = 24

Step 3: Put the new numerator over the new denominator. 20 over 24 is 20/24

Step 4: Simplify the fraction if necessary. 20 and 24 share a common factor of 4, so divide both the numerator and denominator by 4.  

20 divided by 4 = 5

24 divided by 4 = 6

So, 20/24 is equal to 5/6.

7 0
3 years ago
Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

2y = 210

Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0
3 years ago
What 3.405 ounces in expanded form
Y_Kistochka [10]
What you’re doing is breaking it down into its parts and writing it into an equation that way long hand.

3 + .4 + .00 + .005
7 0
3 years ago
What is the measure of the vertex angle of an isosceles
pshichka [43]

Answer:

A) 96

Step-by-step explanation:

The 2 base angles are both 42* thus adding up to 84*. 180-84=96

You are welcome.

3 0
3 years ago
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