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Sidana [21]
3 years ago
12

A and B share the cost in a ratio of 3:2 A pays 125£ how much does b pay???

Mathematics
2 answers:
lana66690 [7]3 years ago
8 0
Let the common multiple be x 
<span>3x : 2x </span>
<span>3x = 125 </span>
<span>x = 125/3 </span>

<span>So, B pays 2x = 2 × 125/3 = £250/3 </span>
Drupady [299]3 years ago
3 0
3:2
3+2=5
125 divided by 5
=15
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20^2 - 16^2 = 144
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7. All of the following are perfect square trinomials EXCEPT one. Which is it?
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Answer:

All answers EXCEPT answer C. are perfect square trinomials.

Step-by-step explanation:

A perfect square trinomial is polynomial that satisfies the following condition:

(a+b)^{2} = a^{2}+2\cdot a \cdot b + b^{2}, \forall\,a,b\in\mathbb{R}

Let prove if each option observe this:

a) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2}

1) 4\cdot x^{2} + 12\cdot x\cdot y + 9\cdot y^{2} Given

2) (2\cdot x)^{2}+ 2\cdot (2\cdot x)\cdot (3\cdot y)+(3\cdot y)^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 2\cdot x, b = 3\cdot y Definition of perfect square trinomial/Result.

b) 9\cdot a^{2}-36\cdot a + 36

1) 9\cdot a^{2}-36\cdot a + 36 Given.

2) (3\cdot a)^{2}-2\cdot (3\cdot a)\cdot 6 + 6^{2} Definition of power/Distributive, associative and commutative properties.

3) a = 3\cdot a, b = 6 Definition of perfect square trinomial/Result.

c) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2}

1) x\cdot y^{2}-4\cdot x^{2}\cdot y^{2}+4\cdot x^{2}\cdot y^{2} Given

2) x\cdot y\cdot (1-4\cdot x+4\cdot x) Distributive property.

3) x\cdot y \cdot 1 Existence of the additive inverse/Modulative property.

4) x\cdot y Modulative property/Result.

d) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4}

1) a^{2}\cdot b^{2}+4\cdot a^{3}\cdot b + 4\cdot a^{4} Given

2) (a\cdot b)^{2}+2\cdot (a\cdot b)\cdot (2\cdot a^{2})+(2\cdot a^{2}) Definition of power/Distributive, associative and commutative properties.

3) a = a\cdot b, b = 2\cdot a^{2} Definition of perfect square trinomial.

All answers EXCEPT answer C. are perfect square trinomials.

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3 years ago
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Find an equation of the line passing through each of the following pairs of points. (−8, −3), (−1, −2)
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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

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Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

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3 years ago
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