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3 years ago

11

Jan age is 3 less than the twice triss agethe sum of thier ages is 30

1 answer:

tresset_1 [31]3 years ago

3 0

Jan is 19, Triss is 11.

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Find the unknown size <br>please I really need answers

katen-ka-za [31]

Answer:

z=80°<em><u>(</u></em><em><u>corresponding</u></em><em><u> </u></em><em><u>angles)</u></em>

<em><u> $x+z=180°(linear \: pair \: ) \\ 80° + x = 180° \\ x= 100°$ </u></em>

<em><u>y=</u></em><em><u>100 </u></em><em><u>° </u></em><em><u>(</u></em><em><u>alternate</u></em><em><u> </u></em><em><u>angles</u></em><em><u>)</u></em>

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8 0

2 years ago

A realtor makes a commission of $11,400 on a $190,000 house he sells. What is his commission rate?

Reika [66]

So bassically
his commision rate is
x% times 190000=comission
so x% times 190000=11400
divide both sdies by 190000
x%=11400/190000
solve for x percent
11400/190000=114/1900=3/50
x%=3/50
percent means parts out of 100 so x%=x/100
x/100=3/50
3/50=6/100
x/100=6/100
multiply both sdies by 100
x=6

the commision rate is 6%

4 0

4 years ago

write a division problem that will have a 2 digit quotient and another division problem that will have a 3 digit quotient

Nutka1998 [239]

10 divided by 5 equals 2 9 divided by 3 equals 3

8 0

4 years ago

sales representative can take one of 4 different routes from City B to City E and any one of 4 different routes from City E to C

mrs_skeptik [129]

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

5 0

2 years ago

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:

a.

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.

b.

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.

c.

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

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.

d.

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.

e.

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

3 years ago