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AleksAgata [21]
3 years ago
11

A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the p

arts of the sum.​
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45

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A line passes through points (0,k) and (2,0) and has a slope of -1.5.
Contact [7]

Answer:

The equation of the line is y = -1.5x + 3

The y-intercept is (0,3)

The value of k is 3.

Step-by-step explanation:

y - 0 = -1.5 (x - 2)

y = -1.5x + 3

4 0
3 years ago
Could someone help me find the velocity of the object pls im stuck
Mila [183]

Answer:

10 m/s

Step-by-step explanation:

Velocity= Position/Time

You can take any point on the line to calculate velocity.

Lets take t=1s

At t=1, position=10m

velocity= 10m/1s

=10 m/s

You can take any other point too, velocity will remain same.

For eg.

At t=5s

position=50m

velocity=50/5

=10m/s

Hope it helps :-)

5 0
3 years ago
Read 2 more answers
A vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. What is the volume of the solid
saw5 [17]

Answer:

V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)

Step-by-step explanation:

The geometric description of the vase is described in the image attached below. The volume of the solid part of the vase is:

V_{s} = V_{out} - V_{in}

V_{s} = \frac{\pi}{4}\cdot D_{out}^{2} \cdot h -\frac{\pi}{4}\cdot (D_{out}-2\cdot t)^{2}\cdot (h-t)

Where:

D_{out} - Outer diameter, in centimeters.

t - Vase thickness, in centimeters.

3 0
3 years ago
1) Sally sprints 300 yards in a minute. Quadra runs 20% further than Sally in the same time.
Free_Kalibri [48]
1) answer = 360
explanation =
-> 10% of 300 = 300*10
-> 10% of 300 = 30
-> 20% = 10% x 2
-> 20% = 30 x 2
-> 20% = 60
-> 300 yards ( distance they ran ) + 60 yards ( how much more distance Quadra ran ) = 360 yards
2) answer = Newton spends 10 minutes or 1/6 hours reading
explanation =
-> 25% = 1/4
-> 40*4= 10
-> 1 hrs = 60 min
-> 10 min x 6 = 60 min
-> 1/6 hrs = 10 min
3) answer = 30 fish
explanation =
-> 40% = 12
-> 10% = 3
-> 40*4=10 and 12*4=3
-> 10% + 40% = 50% so 12 + 3 = 15
-> 50% = 15 and 100% = 15 x 2
-> 100% = 30
4) answer = 30
explanation =
-> 1/4 is equal to 25 %
-> add up all the prrcentages ( 25% + 10% + 15% = 50% )
-> she have 50% of tej chocolates Which were in the tin she bought away and kept 15 chocolates to herself
-> 50% = 1/2
-> 50% x 2 = 100%
-> 15 x 2 = 30
3 0
2 years ago
In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?
Aleks04 [339]

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

6 0
3 years ago
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