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3 years ago

The office worker can stamp 25 letters per minute.

Mathematics

2 answers:

drek231 [11]3 years ago

6 0

For this case, we can solve the problem by using the following ratio:

$\frac {25} {1} = \frac {x} {5}$

Where,

x: number of letters in 5 minutes

Clearing the value of x we have:

$x = 5 (\frac {25} {1})\\x = 5 * 25\\x = 125$

Answer:

At that rate, the number of letters that the worker can stamp in 5 min is 125.

Option D.

sweet-ann [11.9K]3 years ago

5 0

You set it up into a fraction equation. 25 over 1 = x over 5. The numerator is the letters and the denominator is the minutes. You then cross multiply and then you get x=125. That is your answer. Hope that helps.

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bagirrra123 [75]

Answer:

Step-by-step explanation:

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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.

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3 years ago

Which of the following numbers is greater in value than 115%? A. 1 1/10 B. 1.2 C. 0.95% D. 21/20

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B, 1.2, is greater in value than 115%

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3 years ago

If I have a triangular prism with the length of 9mm, the base of 6.6 mm, and the height 4 mm or 5.2 mm. What would be the surfac

Lelu [443]

The surface area of triangular prism is 117.12 mm²

Explanation:

Base side, a = 9 mm

Base side, b = 6.6 mm

Base side, c = 5.2 mm

Height, h = 4 mm

Total surface area = ?

We know,

Surface area, A = 2 Ab ( a+b+c) h

Ab = √s(s-a) (s-b) (s-c)

s = a+b+c/2

Solving for A

A = ah + b h + ch + 1/2 √ -a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2 (b c)² - c⁴

A = 9.4 + 6.6 X 4 + 5.2 X 4 + 1//2 √ -9⁴ + 2(9 X 6.6)² + 2(9 X 5.2)² - (6.6)⁴ + 2 (6.6 X 5.2)² - (5.2)⁴

A = 117.12 mm²

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3 years ago

Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?A: 1cB: 1qtC:2

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Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?

A: 1c

B: 1qt

C:2c

D:2qt

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4/2= 2 ounces of milk per cup

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for 16 cups

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32 ounces = 1 qt

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Kyla needs to put 1 qt for 16 cups of coffee

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