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3 years ago

Which is the best reason why 3/5 is the exact quotient for 1/2÷5/6

Mathematics

1 answer:

romanna [79]3 years ago

4 0

Because when divided a fraction u must flip a fraction and cross multiply
1/2÷5/6
1/2×6/5
3/5

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i think of a number. if i divide the sum of 5 and the number by 3, the result is 2 less than one quarter of the number. find the

Marrrta [24]

Answer:

x = 4.75

Step-by-step explanation:

<u>(5 +X</u><u> )/3</u> = 2 - <u> X/4</u>

<h3> <u>(5 +X</u><u> )/3</u> = 8 - X </h3><h3>5+ X = 3 (8 - X) </h3><h3> 5+ X = 24 - 3X transposing terms</h3><h3>X+ 3X= 24 -5</h3><h3> 4X = 19</h3><h3> X = 19/4 </h3><h3>X = 4.75</h3>

7 0

3 years ago

Carlos has $500 in his savings account that pays 3% simple interest. What is the amount of money Carlos will have in his bank ac

sleet_krkn [62]

Answer:

$1766

Step-by-step explanation:

hope this helps

4 0

3 years ago

Read 2 more answers

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be <em>A</em>.

Also given that Height of prism = Height of cylinder = <em>6</em>

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

<em>Area of circle</em> is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

3 years ago

A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var

777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝ $\frac{1}{e}$

and i will call the constant of variation k, this way we can make an equation for b in the following form:

$b=k\frac{cd}{e}$

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

$b=18\\c=4\\d=9\\e=6$

substituting this in our equation for b:

$b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}$

and we solve operations and clear for the constant of variation k:

$18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k$

the constant of variation is 3.

4 0

3 years ago

Read 2 more answers

Determine if the following statement is true or false.

Bas_tet [7]

Answer:

False

Step-by-step explanation:

Negative and Negative always equals positive

Negative and positive always equal negative

7 0

2 years ago

Read 2 more answers