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3 years ago

Tell whether each statement is a proportion:

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

1. Yes

2. No

3. No

4. No

5. Yes

Step-by-step explanation:

Do you mean equal proportion?

1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3

2. 28 : 7 = 64 : 16 FALSE because they are just not related.

3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20

4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8

5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3

You might be interested in

How do you know that the sum of 7-1g and 7-2 is rational?

user100 [1]

The sum of 7-1 and 7-2 will be a rational number because sum of rational numbers is a rational numbers.

A rational number is a number which can be written in p/q form where q≠0.

We know that when two rational numbers is added then the sum is also a rational number. And when two rational numbers are subtracted then the difference is also a rational number.

So in the given question, lets study the term differently that is,

i) 7 - 1 is a rational number because their difference is equal to 6 and it can be written in p/q form which is 6/1.

ii) 7 – 2 is also a rational number as their difference will be 5 which is a rational and can be written in p/q form which is 5/1.

So when these two rational numbers are added their sum will also be a rational number which is 11.

Learn more about rational numbers here : brainly.com/question/12088221

#SPJ9

5 0

2 years ago

Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?

andrew-mc [135]

Answer:

Probability of getting three jacks = $\frac { 3 } { 5 2 }$

Step-by-step explanation:

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = $\frac { 3 } { 5 2 }$

4 0

3 years ago

Read 2 more answers

Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)

Brrunno [24]

Answer:

- 2b^2 + 34ab + 5a - 1

Step-by-step explanation:

here's your solution

=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)

=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1

=> - 2b^2 + 34ab + 5a - 1

hope it helps

6 0

2 years ago

15. The length of each edge of a regular tetrahedron,

grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35 $\mathrm{cm}^{3}$

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

Step by Step Explanation:

Solution;

Formula for calculating slant height is given as

Slant height= $\sqrt{\frac{2}{3}} a$

Where a= length of each edge

Slant height= $\sqrt{\frac{2}{3}} \times 8$

= $\sqrt{0.6667} \times 8$

= $0.8165 \times 8$ =6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron= $\frac{a^{3}}{6 \sqrt{2}}$

Substitute the value of a in above equation we get

Volume= $\frac{8^{5}}{6 \sqrt{2}}$

= $\frac{512}{6 \sqrt{2}}$

= $\frac{512}{6 \times 1.414}$

Volume= $512 / 8.484$ =60.35 $\mathrm{cm}^{3}$

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35 $\mathrm{cm}^{3}$

7 0

3 years ago

two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o

satela [25.4K]

We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
Marco runs at a rate of 6 miles per hour.
Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes

the answer is
0.25 hour (15 minutes)

Alternative Method
Let
x---------> Fernando's distance when Marco is 0.3 miles apart

Fernando funs at a rate of 7.2 miles per hour
for distance =x
time=x/7.2------> equation 1

Marco runs at a rate of 6 miles per hour.
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour

6 0

4 years ago