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2 years ago

Cai says you can divide both quantities in a ratio by the same nonzero number to

Mathematics

1 answer:

alexandr1967 [171]2 years ago

6 0

Answer:

correct

Step-by-step explanation:

dividing both quantities in a ratio by the same non zero number does indeed find an equivalent ratio.

for example

60 : 36 ( divide both parts by 6 )

= 10 : 6 ← equivalent ratio ( divide both parts by 2 )

= 5 : 3 ← equivalent ratio in simplest form

in fact dividing the original by the HCF of the 2 quantities gives the ratio in simplest form immediately , that is

60 : 36 ( divide both parts by 12 )

= 5 : 3

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No link or bot please right answer

Doss [256]

Answer:

2^18

Step-by-step explanation:

2^2

------ * 2^8

2^-8

We know a^b * a^c = a^(b+c)

2^2 * 2^8 = 2^(2+8) = 2^10

2^10

-------

2^-8

a^b / a^c = a^(b- c)

2^(10 - -8) = 2^(10+8) = 2^18

3 0

3 years ago

Read 2 more answers

Please help me create a truth table for the statement p^(qv~p)

enyata [817]

Hello,

1) p∧(q∨¬p)=(p∧q)∨(p∧¬p)=p∧q proof:

2)

p|q|¬p|q∨¬p|p∧(q∨¬p)|p∧q
0|0|..1|.......1|..............0|0
0|1|..1|.......1|..............0|0
1|0|..0|.......0|..............0|0
1|1|..0|.......1|..............1|1

7 0

3 years ago

(I really need help)

Len [333]

According to the chart 0 miles has a cost of $4.

This would mean the fixed amount would be $4

3 0

4 years ago

A plane flies due East from A(lat.53°N, long. 25°E) to a point B(lat. 53.°N, Ilong. 85°E) at an average speed of 400 km/h. The p

aniked [119]

Answer:

(a) 4035 km

(b) 10 h

Step-by-step explanation:

For the purpose here, we assume the Earth is a sphere, the radius to the path of the airplane is 6400 km, and pi = 22/7. We further assume that each path is part of a circle of appropriate radius.

<h3>(a) Distance A-B</h3>

The distance from A to B will be the length of the latitude line between 25°E and 85°E, a change in longitude of 60°. The radius of the circular path along latitude line 53° is ...

(6400 km)×cos(53°) ≈ 3851.616 km

The length of the path from A to B is given by ...

s = rθ . . . . where θ is in radians

s = (3851.616 km)(π/3) = (3851.616 km)(22/(7·3)) ≈ 4035 km

The distance from A to B is about 4035 km.

The time is the ratio of distance to speed:

t = d/r = (4035 km)/(400 km/h) = 10 h

The time taken to reach point B is 10 hours.

<h3>(c) Latitude of point C</h3>

Using the above relation for arc length, we can find the angle associated with an arc length of 2000 km.

θ = s/r = (2000 km)/(6400 km) = 5/16 . . . . radians

The conversion to angle is ...

degrees = radians × 180/π

degrees = (5/16)(180/(22/7)) = 5·180·7/(16·22) = 17 79/88 ≈ 18

Point C is 18° closer to the equator than latitude 53°, at latitude 35°.

The latitude of C is 35°.

<em>Additional comment</em>

Using a different approximation for pi will change the AB distance by a few km.

6 0

2 years ago

Write an equivalent expression for 1/y-1/4

kenny6666 [7]

We have the expression $\frac{1}{y- \frac{1}{4} }$ . To write a equivalent expression, we are going to rewrite the denominator of our expression using its common denominator 4:
$\frac{1}{y- \frac{1}{4} } = \frac{1}{ \frac{4y-1}{4} }$
Now, notice that we are basically diving 1 by $\frac{4y-1}{4}$ , so we have a division involving fractions, and remember that to divide fractions, we just need to invert the second fraction and multiply:
$\frac{1}{ \frac{4y-1}{4} } =1* \frac{4}{4y-1} = \frac{4}{4y-1}$

We can conclude that the equivalent expression of $\frac{1}{y- \frac{1}{4} }$ is $\frac{4}{4y-1}$ .

7 0

4 years ago