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asambeis [7]
3 years ago
8

Ivan and Tanya share £150 in the ratio 4:1 How much more does Ivan get than Tanya

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

Ivan gets £90 more than Tanya

Step-by-step explanation:

Given that

Total amount = £150

Ratio: 4:1

First of all we have to find the sum of ratio: 4+1 = 5

Now,

Ivan's Share:

= \frac{4}{5} * 150\\= 120

Tanya's Share:

=\frac{1}{5} * 150\\= 30

Ivan gets £120 and Tanya gets £30

The difference between their shares is the answer.

So,

= 120-30 = 90

Hence,

Ivan gets £90 more than Tanya

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582.74 square inches of glass is required to construct the tank

Step-by-step explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

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= 2(291.37)

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Given, f(x) = 2x + 7<br> Find f(3)
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  • Answer:

<em>f(3) = 13</em>

  • Step-by-step explanation:

<em>f(x) = 2x + 7</em>

<em>replace </em><em>x</em><em> with </em><em>3</em>

<em>f(3) = 2×3 + 7</em>

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P-G = 11{w}^{4} - 5 {w}^{2}  {z}^{2}   - 4z^{4}

EXPLANATION

The given polynomials are:

G =  - 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4}

and

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P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}  - (- 3 {w}^{4}  + 2 {w}^{2}  {z}^{2}  + 5z^{4} )

Expand the right hand side to obtain:

P-G = 8 {w}^{4}   - 3{w}^{2}  {z}^{2}  + z^{4}   + 3 {w}^{4}   -  2 {w}^{2}  {z}^{2}   -  5z^{4}

Group the similar terms:

P-G = 8 {w}^{4}  + 3 {w}^{4}- 3{w}^{2}  {z}^{2} -  2 {w}^{2}  {z}^{2}   -  5z^{4} + z^{4}

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