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3 years ago

I need help. Plz help

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

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71. Lesson 3

snow_lady [41]

1. -1
2. 1/2
not sure:
3. 7? —> 7x 1/7x=7x1= 7
4. 1/11?

7 0

3 years ago

Solve for the width in the formula for the area of a triangle

zmey [24]

Answer: $\frac{2A}{h} = w$

Step-by-step explanation:

The formula for area of a triangle is $A = wh\frac{1}{2}$

Now we have to isolate for w.

First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.

$2A = wh\\$

Now divide by h to isolate w.

$\frac{2A}{h} = w$

4 0

3 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:

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

3 years ago

A standard showerhead in Nathan's house dispenses 11 gallons of water per minute. Nathan changed this showerhead to an energy-sa

Fynjy0 [20]

The new shower head dispenses 3 gallons of water per minute, as shown in the equation y = 3x.

So, 3 x 8 = 24.

Then, to find out how much he saves each day, you would find how much he used before,

11 x 8 = 88

Next we want to see how much Nathan saved, so we subtract the total,

88 - 24 = 64

Nathan saved 64 gallons.

7 0

3 years ago

Read 2 more answers

Solve for C. <br>4/ 7(B - C) = A <br><br>C = ___

klio [65]

Answer:

C = ¼(4B – 7A)

Step-by-step explanation:

⁴/₇(B – C) = A Multiply each side by 7

4(B - C) = 7A Remove parentheses

4B – 4C = 7A Subtract 4B from each side

-4C = 7A – 4B Multiply each side by -1

4C = -7A + 4B Divide each side by 4

C = ¼(4B – 7A)

5 0

3 years ago