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3 years ago

Which simplified ratio correctly compares 30 inches to 2 feet?

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

5:4

Step-by-step explanation:

There are 12 inches in one foot, so there are 24 inches in 2 feet.

Therefore, the ratio that compares 30 inches to 2 feet is the ratio that compares 30 inches to 24 inches.

This is

$30\ :\ 24$

Simplify it:

$30\ :\ 24=\dfrac{30}{24}=\dfrac{6\times 5}{6\times 4}=\dfrac{5}{4}=5\ :\ 4$

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A traveler is walking on a moving walkway in an airport The Traveler must walk back on the walkway to get a bag he forgot the Tr

hichkok12 [17]

Let the speed off the walk way be x and speed of the walkway be y
x+y=6....i
x-y=2....ii
adding the above equation we get:
2x=8
thus
x=4 ft/s
and
y=6-4=2 ft/s
thus the speed off the walk way is 4 ft/s
the speed of the moving walkway is 2 ft/s

6 0

3 years ago

The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box

Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0

3 years ago

Evaluate the iterated integral. $$ \int\limits_0^{2\pi}\int\limits_0^y\int\limits_0^x {\color{red}9} \cos(x+y+z)\,dz\,dx\,dy $$

KengaRu [80]

$\displaystyle\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\int_{z=0}^{z=x}\cos(x+y+z)\,\mathrm dz\,\mathrm dx\,\mathrm dy=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(x+y+z)\bigg|_{z=0}^{z=x}\,\mathrm dx\,\mathrm dy$
$\displaystyle=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(2x+y)-\sin(x+y)\,\mathrm dx\,\mathrm dy$
$\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left(\cos(2x+y)-2\cos(x+y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dx\,\mathrm dy$
$\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left((\cos3y-2\cos2y)-(\cos y-2\cos y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dy$
$\displaystyle=-\frac12\int_{y=0}^{y=2\pi}(\cos3y-2\cos2y+\cos y)\,\mathrm dy$
$\displaystyle=-\frac12\left(\frac13\sin3y-\sin2y+\sin y\right)\bigg|_{y=0}^{y=2\pi}$
$=0$

4 0

3 years ago

What is the value of x inthe equation 1/5×-2/3y=30, when y=15?

taurus [48]

X in this equation is about 4 and a half i know because i used a cacisnatter

5 0

3 years ago

Given: l || m; ∠1 ∠3

Katarina [22]

The parts that are missing in the proof are:

It is given

∠2 ≅ ∠3

converse alternate exterior angles theorem

<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>

The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.

∠1 ≅ ∠3 and l║m because we are: given

By the transitive property,

∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.

Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.

Therefore, the missing parts pf the paragraph proof are:

It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem

Learn more about the converse alternate exterior angles theorem on:

brainly.com/question/17883766

#SPJ1

3 0

2 years ago