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3 years ago

Which expresions are equivalent to 3 1/4 - _ 5/8 select all that apply

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Where are the options?

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Sophie bought a water fountain for her cat. The fountain holds 55 fluid ounces of water. To fill it, Sophie uses a jar that hold

mr_godi [17]

Answer:

3.4375

Step-by-step explanation:

One pint = 16 fluid ounces

55 ÷ 16 = 3.4375

(So basically a bit more than 3)

7 0

2 years ago

Which statement is correct?

Alenkinab [10]

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Hope this helps! :D

3 0

2 years ago

SU and VT are chords that intersect at point R.

vovikov84 [41]

Answer:

<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

$\frac{RS}{RT} =\frac{RV}{RU}$

Where

$RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x$

Replacing all these expressions, we have

$\frac{x+6}{x+4} =\frac{x+1}{x}$

Solving for $x$ , we have

$x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4$

Now, notice that chord VT is form by the sum of RT and RV, so

$VT=VR+RT\\VT=x+1+x+4\\VT=2x+5$

Replacing the value of the variable

$VT=2(4)+5\\VT=8+5\\VT=13$

Therefore, the length of the line segment VT is 13 units.

5 0

2 years ago

Read 2 more answers

What is the mode of the set numbers?: 8, 9, 2, 12, 12, 10, 14, 14, 5

Maksim231197 [3]

The number 12 and 14 are the modes .

8 0

2 years ago

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations.

Nostrana [21]

$x^3-27i=0$
$x^3=27i$
$x^3=27e^{i\pi/2}$
$x=\left(27e^{i\pi/2}\right)^{1/3}$
$x=3e^{i(\pi/2+2\pi k)/3}$
$x=3e^{i\pi(4k+1)/6}$

where $k\in\{0,1,2\}$ . This means you have

$x=3e^{i\pi/6}=\dfrac32(\sqrt3+i)$
$x=3e^{i5\pi/6}=\dfrac32(-\sqrt3+i)$
$x=3e^{i9\pi/6}=-3i$

as the solutions to the original equation.

4 0

3 years ago