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2 years ago

Aunt Becky gave 5/6 of a cup of pudding to each of her 3 nephews. How many cups of pudding did she give out?

Mathematics

1 answer:

bulgar [2K]2 years ago

7 0

Answer:

2 $\frac{1}{2}$ Cups

Step-by-step explanation:

First make 3 a fraction by throwing a one under it. Next multiple the two tops of the fractions together and then the two bottoms together:

$\frac{5}{6} X\frac{3}{1} = \frac{15}{6}$

Next we convert to a mixed number:

$2\frac{3}{6}$

Finally, we simplify the fraction:

2 $\frac{1}{2}$

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I NEED HELP PLEASE, THANKS! :)

NISA [10]

Answer: $\bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}$

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

Note the following identities: tan² x = sec²x - 1

$\sec x=\dfrac{1}{\cos}$

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0 sec x - 1 = 0

sec x = -2 sec x = 1

$\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0$

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What is the slope of the line that passes through the points (-2, -1)

Lera25 [3.4K]

Plug this into the formula y2 - y1 / x2 - x1

-2 = x1, x2 = 2, y1 = -1, y2 = -3

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3 years ago

20. Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal

lesya [120]

Given:

Initial point = (–5, 3)

Terminal point = (1, –6)

To find:

The set of parametric equations over the interval 0 ≤ t ≤ 1.

Solution:

The interval is 0 ≤ t ≤ 1, initial point is (–5, 3) and terminal point is (1, –6). It means,

$x(0)=-5,y(0)=3$

$x(1)=1,y(1)=-6$

Put t=1 in each parametric equation.

In option A,

$x(1)=-5+1=-4\neq 1$

In option B,

$x(1)=-5+3(1)=-5+3=-2\neq 1$

In option D,

$x(1)=-5+8(1)=-5+8=3\neq 1$

Therefore, options A, B and D are incorrect.

In option C,

$x(1)=-5+6(1)=-5+6=1$

$y(1)=3-9(1)=3-9=-6$

Put t=0 in x(t) and y(t).

$x(0)=-5+6(0)=-5$

$y(0)=3-9(0)=3$

Since, only in option C $x(0)=-5,y(0)=3,x(1)=1,y(1)=-6$ , therefore, the correct option is C.

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2 years ago