Write an expression to show : r less than 16

Jim, Katrina, Larry, and Jim have all been invited to a dinner party. They arrive randomly and each person arrives at a differen

tino4ka555 [31]

Answer:

24

6

1/12

Step-by-step explanation:

a) This is a counting problem 4*3*2*1 = 24 different ways.

b) 1 * 2 * 1 * 1 = 2 ways

This is one you should try.

Jim Kat Larry Kim

Jim Larry Kat Kim

You can't get another way.

c)

There are 2 ways that Jim can arrive first and Kim Last shown in b

2/24 = 1/12

7 0

3 years ago

Read 2 more answers

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going t

allochka39001 [22]

Answer:

Step-by-step explanation:

The question is not complete, i think the correct question is:

Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today

Let us assume that each acre of land on Mars cost $107.

a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:

y = 770 + 30x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 770 + 30x

1070 - 770 = 30x

30 x = 300

x = 300/30

x = 10

It would take 10 months for Kareem to buy 10 acres of land

b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:

y = 935 + 45x

Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:

1070 = 935 + 45x

1070 - 935 = 45x

45 x = 135

x = 3

It would take 3 months for Kira to buy 10 acres of land

4 0

4 years ago

Find the zero of f(x) = x^5-12x^2+32x

Alexeev081 [22]

The zeroes of <span>f(x) = x^5-12x^2+32x can be found by factoring,

</span><span>f(x) = x^5-12x^2+32x=(x-8)(x-4)

By the zero product theorem, (x-8)=0 or (x-4)=0 which means
x=8 or x=4.

So the zeroes of f(x) are S={4,8}</span>

8 0

3 years ago

Math answer plz need help with this plz answer

Neporo4naja [7]

Answer:

176.625 sq.ft, 4.8 sq.ft

Step-by-step explanation:

Area of circle=πr^2 or πd^2/4
11. Given,
d=15 ft
Now,
Area=πd^2/4
3.14*15^2/4
176.625 ft^2
Therefore, the area approximation is 176.6 sq.ft
12.
Given,
d=3.5 ft
Now,
Area= πd^2/8
3.14*3.5^2/8
4.8 sq.ft
I got the answer by dividing the area of circle by 2 as semicircle is half of circle.

6 0

3 years ago

What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of dice?

maria [59]

In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.

To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9

To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum). The probability is 11/36

Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.

P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9

4 0

4 years ago