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dusya [7]
3 years ago
8

The ratios a: B and B :c are equivalent to one another

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer:

Options (2) and (5)

Step-by-step explanation:

Given ratio is a : b and b : c

\frac{a}{b}=\frac{b}{c}

\frac{b}{a}= \frac{c}{b} [Option 2]

\frac{a}{b}=\frac{b}{c}

b × b = a × c

b² = ac

If a = b,

b² = bc

b = c [Option 5]

Therefore, Options (2) and (5) are the correct options.

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According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales wei
never [62]

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = 3\times10^5\text{ pounds}

Weight of Narwhal = 2\times10^3\text{ pounds}

Number of times blue whale's weight  is heavier than the narwhal's weight = =\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}

=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.

5 0
3 years ago
1. Solve the following equation by factoring: 4x2 + 12x + 9 = 0
Luden [163]

Answer:

x = -3/2

Step-by-step explanation:

4x² + 12x + 9 = 0

Use AC method to factor, or recognize the perfect square.

(2x + 3)² = 0

2x + 3 = 0

x = -3/2

7 0
3 years ago
Determine if the equation is linear. If so, graph the function.
musickatia [10]

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

5 0
3 years ago
During the summer, Bethany mows lawns and Grant is a waiter at a coffee
joja [24]
Both of them could be true, tables and graphs are basically the same thing... is there a photo?
6 0
3 years ago
cheryl says that when you add two negative numbers, the sum is always negative. is Cheryl's statement true of false?
Andrews [41]

Answer:

wwo

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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