What is the least common denominator of 2/9 and 2/3

A prairie dog left its burrow 5 feet underground and started digging deeper into the ground. It digs straight down at a constant

SpyIntel [72]

Building and solving an equation to model the situation, it is found that it takes 4 min for the prairie dog to reach 13 feet underground.

Initially, the dog is 5 feet underground.

Each minute, the dog goes 2 more feet underground.

Hence, the underground height of the dog after t seconds is given by:

$h(t) = 5 + 2t$

The time it takes for the dog to reach 13 feet underground is <u>t for which h(t) = 13</u>, hence:

$h(t) = 5 + 2t$

$13 = 5 + 2t$

$2t = 8$

$t = \frac{8}{2}$

$t = 4$

It takes 4 min for the prairie dog to reach 13 feet underground.

A similar problem is given at brainly.com/question/25290003

7 0

2 years ago

Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 9 people eligible for this com

ASHA 777 [7]

Answer:

The number of ways Tony and Maria can both be selected for the committee is 8 ways.

Step-by-step explanation:

i) Tony and Maria have to be on the committee together or not at all.

ii) Let us consider Tony and Maria as combined as one person.

Therefore now we can say that the number of eligible people for the committee = 9 - 1 = 8.

iii) therefore the number of ways that both Tony and Maria can be selected for the committee are

= 8C1 = $\hspace{0.2cm}\binom{8}{1} = \frac{8!}{1! (8-1)!} = \frac{8!}{1!\times 7!} = \frac{8}{1} = \hspace{0.1cm}8 \hspace{0.1cm}ways$

6 0

2 years ago

Please help for a big part of my grade

Reil [10]

Answer:The answer would be C-13

Step-by-step explanation:You would get C because you are going up 3 cubes every shape so 7 plus 3 is 10 then for the fifth shape 10 plus 3 is 13 and that is the finale answer

6 0

2 years ago

❗️HELP ASAP❗️

tangare [24]

I think the answer is G.

I think this because of the fact families (like my elementary teacher used to say)
It’s like about multiplication of fact families so make it where it would have fact families with those numbers as the sums.
I hope this helps! Be safe out there.

3 0

2 years ago

Bill has 4 times as much money as Ted. If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted. How mu

Dima020 [189]

<h3><u>Question:</u></h3>

Bill has four times as much money as Ted. If Ted spends $100 and Bill spends $75, Bill will have five times as much money as Ted. How much money do Bill and Ted have before and after spending money?

<h3><u>Answer:</u></h3>

Before spending money, Bill has $1700 and Ted has $425

After spending money, Bill has $ 1625 and Ted has $ 325

<h3><u>Solution:</u></h3>

Let the amount of money Bill has be "b"

Let the amount of money Ted has be "t"

Bill has 4 times as much money as Ted, we can say the following:

b = 4t ---------- eqn 1

If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted.

b - 75 = 5 ( t - 100 ) ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

4t - 75 = 5( t - 100 )

4t - 75 = 5t - 500

5t - 4t = 500 - 75

From eqn 1,

b = 4(425) = 1700

So, before spending money, Bill has $1700 and Ted has $425.

<u><em>After spending money:</em></u>

Bill = b - 75 = 1700 - 75 = $ 1625

Ted = t - 100 = 425 - 100 = $ 325

8 0

2 years ago