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Svetradugi [14.3K]

4 years ago

11

Which of the following forms a pair of equivalent rational numbers? (a) 24/40 and 35/50

1 answer:

Mamont248 [21]4 years ago

6 0

Answer:

(b) -25/35 and 55/-77

Step-by-step explanation:

-25/35 and 55/-77

Simplify the fractions.

= -5/7 and 5/-7

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Help please; I need the right answer

Ad libitum [116K]

Answer:

C.

Step-by-step explanation:

$\cos x+\sqrt{2}=-\cos x \\ 2\cos x = -\sqrt 2 \\ \cos x = -\dfrac{\sqrt 2}{2}\\ \\ \Rightarrow x = \pm \arccos\Big(-\dfrac{\sqrt 2}{2}\Big)+2k\pi,\quad x\in \mathbb{Z}\\ \Rightarrow x =\pm\dfrac{3\pi}{4}+2k\pi\\ \\ \\k = -1 \Rightarrow x < 0\\\\ k=0 \Rightarrow x 2\pi$

3 0

4 years ago

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Kristen is jogging in a straight line. She got a head start of 7 meters from the starting line, and she ran 2 meters every 9 sec

Marysya12 [62]

Answer:

18 seconda

Step-by-step explanation:

6 0

3 years ago

Which expressions are equivalent to 1.08^4t?

artcher [175]

Answer:

Therefore,

The Equivalent expression is option A,

$(1.08^{4})^{t}$

Step-by-step explanation:

Given:

Expressions is

$1.08^{4t}$

To Find:

Equivalent expression ?

Solution:

We have Law of indices

$(a^{x})^{y}=a^{x\times y}\\(a^{\frac {x}{y}})^{z}=a^{\frac{x\times z}{y}$

For option A

(1.08^t)^4

$(1.08^{4})^{t}=1.08^{4t}$

Hence option A is the Equivalent expression.

For option B

1.08^8t/1.08^2t

$(1.08^{\frac{8t}{1.08}})^{2t}=1.08^{\frac{16t^{2}}{1.08}}=1.08^{14.81t^{2}}$

Which is not the Equivalent expression.

For option C

1.08^4*1.08^t

$(1.08^{4\times 1.08})^{t}=1.08^{4.32t}$

Which is not the Equivalent expression.

For option D

1.08^6t/1.08^2t

$(1.08^{\frac{6t}{1.08}})^{2t}=1.08^{11.11t^{2}}$

Which is not the Equivalent expression.

Therefore,

The Equivalent expression is option A,

$(1.08^{4})^{t}$

6 0

3 years ago

Ben has a collection of quarters and nickels worth $5.35. The total number of coins is 43. How many nickels does Ben have?

Yuri [45]

2 nickles

4 quaters=1.25

2 nickles

3 0

3 years ago

Solve for the value of z.

Gnom [1K]

Answer:

13°

Step-by-step explanation:

2z + 5° + 5z - 6° = 90° { being complementary angles }

7z = 90° + 1°

7z = 91°

z = 91° / 7

z = 13°

Hope it will help :)

3 0

3 years ago

Read 2 more answers