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Firlakuza [10]
4 years ago
10

Three bags of sweets weigh 6 3/4 kg. Two of them have the same weight and the third bag is heavier than each of the bags of equa

l weight by 1 1/5 kg. Find the weight of each bag.
Mathematics
1 answer:
Softa [21]4 years ago
8 0

Answer: the weight of each bags are 1.85kg, 1.85kg and 3.05 kg

Step-by-step explanation:

Total weight of the three bags is

6 3/4 kg. Converting to decimal, it becomes 6.75 kg.

Two of them have the same weight. Let x represent the bags of equal weight. Their total weight would be 2x. The third bag is heavier than each of the bags of equal weight by 1 1/5 kg. Converting to decimal, it becomes 1.2kg. It means that the weight of the third bag would be

x + 1.2

Therefore, for the three bags,

2x + x + 1.2 = 6.75

3x = 6.75 - 1.2 = 5.55

x = 5.55/3 = 1.85

Weight of the third bag is

1.85 + 1.2 = 3.05kg

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Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)
Alexxandr [17]

Answer:

\%Percent = 30 \%

Step-by-step explanation:

Given

Shaded = 6\ cubes

Box = 5\ x\ 4

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

Box = 5\ x\ 4

Express as multiplication

Box = 5\ *\ 4

Box = 20

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

\%Percent = \frac{Shaded}{Box} * 100\%

\%Percent = \frac{6}{20} * 100\%

\%Percent = \frac{6* 100}{20} \%

\%Percent = \frac{600}{20} \%

\%Percent = 30 \%

<em>30% were shaded</em>

5 0
3 years ago
Select the reason why these triangles are similar. if they are not select no similar
lana66690 [7]

Answer:

SAS

Step-by-step explanation:

well there exactly ths same you just add what ever inside and subtract forn 180 which is an angle

6 0
3 years ago
Read 2 more answers
I need help. what is the answer to this question. a.b.c. or d
bekas [8.4K]
A because the median is 0.1 and the mean is much higher
7 0
3 years ago
PLEASE HELP!! find the value of x. attached image.
slamgirl [31]

Answer:

x     =   4.712145

Step-by-step explanation:

Given a=20 and b=28,

c = 4√74 = 34.409301068171

∠α = 35.538° = 35°32'16" = 0.62025 rad

∠β = 54.462° = 54°27'44" = 0.95055 rad

Area = 280

Perimeter = 82.409301068171

<h2><u>_____________________________________</u></h2>

Let's solve your equation step-by-step.

9x−8=34.409301

Step 1: Add 8 to both sides.

9x−8+8=34.409301+8

9x=42.409301

Step 2: Divide both sides by 9.

\frac{9x}{9} =\frac{42.409301}{9}

x=4.712145

<h2>Answer:</h2><h2>x=4.712145</h2>

4 0
2 years ago
Finding area of shaded sectors.
tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

A=\frac{\theta}{360}*\pi r^2

Where

\theta  is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

\theta = 80

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81

Thus,

The area of the shaded sector is 69.81 sq. meters.

5 0
3 years ago
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