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4 years ago

11

Translate each sentence into an equation.

1 answer:

ser-zykov [4K]4 years ago

8 0

Bear in mind that words like "are" or "is" is replaced by an equal "=" sign in the equation.
more than or increased by denotes addition
twice the number denotes two times the number
times, simply means multiply.

Let x be the unknown number in the equations.

12 birds are 3 more than twice the number of birds Rhonda saw yesterday.

12 = 2x + 3

Negative 6 times the sum of a number and 4 is 2

-6(x+4) = 2

Four time a number increased by 3 is -89

4x + 3 = -89

Hope this helps!

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2 years ago

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3 years ago

13g = –(9 – 12g) – 5

Elena L [17]

Answer:

g = - 14

Step-by-step explanation:

13g = - (9 - 12g) - 5

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4 years ago

Prove the identity 2csc2x=csc^2xtanz

Verizon [17]

Step-by-step explanation:

Consider the LHS, after the 5th step, consider the RHS

$2 \csc(2x) = \csc {}^{2} (x) \tan(x)$

$2 \frac{1}{ \sin(2x) } = \csc {}^{2} (x) \tan(x)$

$2 \times \frac{1}{2 \sin(x) \cos(x) } = \csc {}^{2} (x) \tan(x)$

$\frac{1}{ \sin(x) \cos(x) } = \csc {}^{2} (x) \tan(x)$

$\csc(x) \sec(x) = \csc {}^{2} (x) \tan(x)$

Consider the RHS

$\csc(x) \sec(x) =( 1 + \cot {}^{2} (x) ( \tan(x))$

$\csc(x) \sec(x) = \tan(x) + \cot(x)$

$\csc(x) \sec(x) = \frac{ \sin(x) }{ \cos(x) } + \frac{ \cos(x) }{ \sin(x) }$

$\csc(x) \sec(x) = \frac{1}{ \sin(x) \cos(x) }$

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2 years ago

Roberto makes 35% of the shots he attempts in basketball. How many shots does he make if he attempts 20 shots?

kirill [66]

Answer:

Roberto makes 7 shots

Step-by-step explanation:

35% is 0.35 as a decimal. Multiply the decimal by the total amount of attempted shots.

20(0.35)=7

Roberto makes 7 shots.

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3 years ago