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denis-greek [22]
3 years ago
6

Two numbers are in the ratio 7:5 and their difference is 22.Find the numbers​

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

Let x and y be the two numbers. Then

yx=57  and x−y=20

Cross multiplying the proportion

5x=7y  or y=75x

So, x−y=20

x−75x=20⇒77x−5x=72x=20

⇒x=2140=70

y=75x=75×70=50

So smaller number is 50.

Check :yx=5070=57 and 70−50=20

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8 divide by 1 1/4 KCF
Diano4ka-milaya [45]

Answer:

32/5

Step-by-step explanation:

K=Keep the first Fraction (You can rewrite 8 as 8/1 for when you multiply across.)

C=Change the Division Sign to a Multiplication Sign

F=Flip the Second Fraction

First, rewrite 1 1/4 as 5/4 (A mixed number can be changed to a fraction by multiplying the outside whole number by the denominator or bottom number of the fraction, then add the new rewritten whole number and the original fractional piece. In this case you would multiply the outside 1 by the bottom 4 and add it to the original 1/4. 4/4+1/4=5/4)

Second, Flip 5/4 to 4/5 and change your equation so it now reads: 8/1 x 4/5

Third, use simple fraction multiplication and multiply across to get 8/1 x 4/5=32/5

6 0
3 years ago
A Social welfare association decides to supply drinking water for the flood affected people. The drinking water is filled in a c
pickupchik [31]

Answer:

1,499 liter

Step-by-step explanation:

The rest of the question is:

each is in the shape of a cylinder of radius 21 cm and height is 50 cm.

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

The quantity of water left in the tanker after distribution

= Total quantity - Distributed quantity

Total quantity = Volume of the giving figure

                       = Volume of the cylinder + volume of 2 hemispheres

Volume of the cylinder of 4.2 m length and 1.2 m of a diameter.

L = 4.2 and radius = r = 0.5 * diameter = 0.5 * 1.2 = 0.6

Volume of cylinder = π r² L = (22/7) * 0.6² * 4.2 = 4.752 m³

Volume of 2 hemispheres = 2*0.5 * (4/3) π r³ = (4/3) * (22/7) * 0.6³

                                           =792/875 m³

Total volume = 4.752 + 792/875 = 198/35 ≈ 5.657 m³

Distributed quantity = 60 times the volume of a cylinder of radius 21 cm and height is 50 cm

Distributed quantity = 60 * π r² L = 60 * (22/7) * 21² * 50 = 4,158,000 cm³

Since 1 m³= 1,000,000 cm³

Distributed quantity = 4,158,000 cm³ = 4.158 m³

The quantity of water left in the tanker after distribution =

 = 198/35 - 4.158 ≈ 1.499 m³

Since 1 m³= 1,000 liter

The quantity of water left in the tanker after distribution =

  =  1.499 m³ = 1.499 * 1000 = 1,499 liter

7 0
3 years ago
Read 2 more answers
When a circular plate is heated in an oven, its radius increases at the rate of 0.01 cm/min. At what rate is the plate’s area in
m_a_m_a [10]

Answer:

3.14 cm²/min

Step-by-step explanation:

rate of increasing of radius, dr/dt = 0.01 cm/min

r = 50 cm

Area of plate, A = πr²

rate of increase of area

dA/dt = 2πr dr/dt

dA/dt = 2 x 3.14 x 50 x 0.01

dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

7 0
3 years ago
Please help asap! thank you
nasty-shy [4]
The HTTP 404, 404 Not Found, 404, 404 Error, Page Not Found, File Not Found, or Server Not Found
6 0
2 years ago
Read 2 more answers
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do
andrey2020 [161]

Answer:

<h2>   10 in</h2>

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, circles and square.

we know that the pizza has a  circular profile

and the place-mat has a square profile.

Step one:

let us solve for the radius of the pizza

area-of- pizzza= \pi r^2\\\\  78.5= 3.142*r^2\\\\r^2= 78.5/3.142\\\\r^2= 24.98\\\\r= \sqrt{24.98} \\\\r=4.998\\\\r= 5 in

Step two:

from inspection we know that the width of the place-mat is same as the diameter of the pizza

hence diameter of pizza

= 2r

=2*5

=10 in

3 0
3 years ago
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