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ladessa [460]
3 years ago
8

Lucy was playing a card with two friends. They were playing with a deck of 21 cards. Lucy dealt 1/3 of the deck to each person.

How many cards did lucy get?
(for my nine year old sister)
Mathematics
2 answers:
Rama09 [41]3 years ago
8 0
If each of them got 1/3 of the deck then they would each get 7 cards
Irina-Kira [14]3 years ago
7 0
You dived 21 cards by 3 and your answer is lucy got 7 cards
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Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)​
Zigmanuir [339]

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

3x + 2y = 12

2y =  - 3x + 12

y =   - \frac{3}{2}x  + 6

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

m1 \times m2 =  - 1

-  \frac{3}{2}  \times m2 =  - 1

m2 =  - 1 \div  -  \frac{3}{2}

m2 =  \frac{2}{3}

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

y =  \frac{2}{3}x  + b

let \: x = 1,y = 2

2 =  \frac{2}{3} (1) + b

b = 2 -  \frac{2}{3}

b =  \frac{4}{3}

y =  \frac{2}{3} x +  \frac{4}{3}

5 0
3 years ago
Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he bi
marysya [2.9K]

Answer:

$25.40

Step-by-step explanation:

Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40

8 0
2 years ago
How many integers between 100 and 999 (inclusive) have distinct digits
daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

5 0
2 years ago
One piece of pizza has been removed from a large pizza pie. The shaded area shown represents the piece that has been removed.
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Answer:

Step-by-step explanation:

i would love to help but you need to include either the measurement or a screen shot/picture of the equation.

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Which of the following statement is correct​
bagirrra123 [75]

Answer:

the 3rd one

Step-by-step explanation:

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5 0
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