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3 years ago

Ratio reduced to the lowest form 8 quarters to 30 dollars

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Answer:

1:15

Step-by-step explanation:

there are 120 quarters in 30 dollars

so 8:120

divide both by 8

1:15

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Aliun [14]

The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
△JKL ~ △JKM
△JKM ~ △JKM
△JMK ~ △KML

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4 years ago

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How to compare these

Ber [7]

Distance = rate multiplied by time so do the inverse of that

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4 years ago

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the width of a rectangle is x centimetres and its length is (x+ 2) cm. Write down an expression for the perimeter of the rectang

yKpoI14uk [10]

Given:

The width of a rectangle is x centimeters and its length is (x+ 2) cm.

To find:

The expression for the perimeter of the rectangle.

Solution:

We know that, perimeter of a rectangle is

$Perimeter=2(Length+Width)$

We have,

Width = x cm

Length = (x+2) cm

Putting these values in the above formula, we get

$Perimeter=2((x+2)+x)$

$Perimeter=2(2x+2)$

$Perimeter=2(2x)+2(2)$

$Perimeter=4x+4$

Therefore, the required expression for the perimeter of the rectangle is (4x+4) cm.

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3 years ago

Can anyone plzzzz help me with this question of linear equation in two varaiable plzzzzzz... Its very important... Plz solve it

kotegsom [21]

That's not a linear system, but you have an awesome school system for giving you this problem.

$\dfrac 5 y - \dfrac 2 x = \dfrac{13}6$

Multiply by 6xy to clear the fractions.

$30x - 12y = 13 xy$

That's a second degree equation, also known as a conic. That one happens to be a hyperbola.

$30x = y(13 x +12)$

$y = \dfrac{30x}{13 x + 12}$

Let's clear the fractions from the second equation, multiplying out common denominator xy:

$\dfrac {36} x - \dfrac {24} y = 1$

$36y - 24 x = xy$

We are being asked to find the meet of two hyperbolas, so we expect two answers, a quadratic equation.

Substituting,

$36 \left( \dfrac{30x}{13 x + 12} \right) - 24 x = x \left( \dfrac{30x}{13 x + 12} \right)$

$36(30x) -24 x(13x + 12) = 30x^2$

$1080 x - 312 x^2- 288 x = 30x^2$

$x(792 - 342 x)= 0$

$x = 0 \textrm{ or } x=792/342 = \dfrac{44}{19}$

We have to rule out x=0 because it's in the denominator.

$y = \dfrac{30x}{13 x + 12} = \dfrac{30(44/19)}{13(44/19)+12}$

$y = \dfrac{33}{20}$

Answer: (44/19, 33/20)

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nirvana33 [79]

I believe it's A. Eva would have been better off selecting the 20-year term policy.
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If Eva decided to add another 10 year despite the extra charge, The kids will be covered until they enter the productive age.

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4 years ago

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