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jarptica [38.1K]
3 years ago
6

Malachy and Paul win some money and share it in the ratio 4:5. Malachy gets £44. How much did Paul get?

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

9514 1404 393

Answer:

  £55

Step-by-step explanation:

Multiplying the given ratio units by 11 tells you the answer.

  4 : 5 = 44 : 55

Paul got £55.

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If DM = 35, what is the value of r?
Gennadij [26K]

Answer:

r = 11

Step-by-step explanation:

Given

DM = 35

DG = r + 5

GM = 3r - 14

Required

Find r

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This implies that:

DM = DG + GM

Substitute values for DM, DG and GM

35 = r + 5 + 3r - 14

Collect Like Terms

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3 0
3 years ago
On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte
Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is k = \frac{y}{x}

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

y \propto x

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

k = \frac{y}{x}

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

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3 years ago
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