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2 years ago

John has saved $150 and

Mathematics

2 answers:

Vanyuwa [196]2 years ago

5 0

Answer:

10 weeks

Step-by-step explanation:

Total difference in money = $150 - $0

= $150

Difference per week = $25 - $10

= $15

divide 150 by 15 (150/15)

= 10

Elden [556K]2 years ago

3 0

First equation:

y=10x+150

y=25x

10x+150=25x

15x=150

x=10

so, 10 weeks

EDIT:

how many dollars dey save? dunno

jkkkkk

For John

150+10(10)=

150+100=

250

For Erin

They both equal

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3 years ago

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3 years ago

Two lamps marked 100 W - 110 V and 100 W - 220 V are connected i

ELEN [110]

<h2>Answer:</h2>

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

<h2>Step-by-step explanation:</h2>

Given:

First lamp rating

Power (P) = 100W

Voltage (V) = 110V

Second lamp rating

Power (P) = 100W

Voltage (V) = 220V

Source

Voltage = 220V

i. Get the resistance of each lamp.

Remember that power (P) of each of the lamps is given by the quotient of the square of their voltage ratings (V) and their resistances (R). i.e

P = $\frac{V^2}{R}$

Make R subject of the formula

⇒ R = $\frac{V^2}{P}$ ------------------(i)

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R₁ = $\frac{110^2}{100}$

R₁ = 121Ω

For second lamp, let the resistance be R₂. Now substitute R = R₂, V = 220V and P = 100W into equation (i)

R₂ = $\frac{220^2}{100}$

R₂ = 484Ω

ii. Get the equivalent resistance of the resistances of the lamps.

Since the lamps are connected in series, their equivalent resistance (R) is the sum of their individual resistances. i.e

R = R₁ + R₂

R = 121 + 484

R = 605Ω

iii. Get the current flowing through each of the lamps.

Since the lamps are connected in series, then the same current flows through them. This current (I) is produced by the source voltage (V = 220V) of the line and their equivalent resistance (R = 605Ω). i.e

V = IR [From Ohm's law]

I = $\frac{V}{R}$

I = $\frac{220}{605}$

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iv. Get the power consumed by each lamp.

From Ohm's law, the power consumed is given by;

P = I²R

Where;

I = current flowing through the lamp

R = resistance of the lamp.

For the first lamp, power consumed is given by;

P = I²R [Where I = 0.36 and R = 121Ω]

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For the second lamp, power consumed is given by;

P = I²R [Where I = 0.36 and R = 484Ω]

P = (0.36)² x 484

P = 62.73W

Therefore;

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

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2 years ago