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3 years ago

The scout troop hikes 7 km in 2 hr. At this pace, how far will the troop hike in 4 hr?

Mathematics

2 answers:

skad [1K]3 years ago

5 0

14 kilometers because 4=2×2 and they walk 7 kilogram in 2 hours. 7×2=14. So the troop walked 14 kilometers in 4 hours.

nikitadnepr [17]3 years ago

3 0

If the troops hike 7km/2hr (read 7 kilometers per 2 hours), then to find how far they'd hike 4hr, just find multiply the top and bottom by 2. We do this because we found that to get from 2 to 4, we multiply by 2. And since this is a rate, we multiply the top by this value as well, so 7x2=14km

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A little help? What does Y equal? ( Giving Branliest )

elena-14-01-66 [18.8K]

Answer:

-4/3 = y

Step-by-step explanation:

-1/2 = 3/8y

Multiply each side by 8/3 to isolate y

-1/2 * 8/3 = 3/8y * 8/3y

-8/6 =y

-4/3 = y

7 0

3 years ago

Read 2 more answers

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

2 years ago

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

MAXImum [283]

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

8 0

3 years ago

Math... please help :(

NeX [460]

B! Sorry if im wrong..:(

8 0

3 years ago

Read 2 more answers

Math Help!

AnnyKZ [126]

Area = πr² = π(8)² = 201.06 in²

Answer: 201.06 in²