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Likurg_2 [28]
3 years ago
10

Bob claimed down a ladder from his roof, while Roy climbed up another ladder next to him. Each ladder had 26 rungs. Bob went dow

n 1 rung every 4 seconds. Roy went up 3 rungs per second. At some point, Bob and Roy were at the same height. Which rung were they on? ​
Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

they were in an elevator

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It Takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take him to finisn reading 30 pages?​
Inga [223]

Answer:

135

Step-by-step explanation:

First, divide.

18 ÷ 4 = 4.5

Then, multiply.

4.5 × 30 = 135

Have a great day!

4 0
3 years ago
What is the coefficient of the fourth term in the expansion of (x - y)^6?
Zarrin [17]
<span>If you're aware of the binomial theorem, you have that:
</span>(x-y)^6=\sum_{k=0}^{6}\binom{6}{6-k}x^k(-1)^{6-k}y^{6-k}
(x-y)^6=\sum_{k=0}^{6}\binom{6}{k}x^k(-1)^{k}y^{6-k}

The fourth term is then the case k=3, from which:
c_{3}=\binom{6}{3}x^3(-1)^3y^3= \frac{6!}{3!(6-3)!} * (-x^3y^3)=- \frac{720}{36}x^3y^3=-20x^3y^3
3 0
3 years ago
Read 2 more answers
You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years
Snezhnost [94]

Answer:

14.4 years (about 14 years 6 months)

Step-by-step explanation:

Given data

Principal= $3000

Rate= 4.8%

A. Time= 5 years

The expression for compound interest is

A=P(1+r)^t

Substitute

A= 3000(1+0.048)^5

A= 3000(1.048)^5

A=3000*1.264

A=$3792

Hence the balance will be $3792

B. Final Amount A = $6000

The expression to find time is given ast

t= ln(A/P) / r

substitute

t= ln(6000/3000)/0.048

t= ln2/0.048

t= 0.6931/0.048

t=14.43

Hence the time is 14.4 years (about 14 years 6 months)approx

8 0
3 years ago
Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li
agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours? 

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0
3 years ago
Which of the following graphs would represent the solution set for y ≤ 5?
PIT_PIT [208]
Consider the x-y axis. The x-y- axis is the whole plane, it contains the set of all possible pairs (x, y), where x and y are real numbers.

The set <span>y ≤ 5, includes all those points (x, y) in the plane whose y coordinate is less than or equal to 5. Thus, x can be any number, but y has the restriction 
of being at most 5.

According to this discussion, the graph is as in the picture attached. We color the horizontal line y=5, and all points below it.

 </span>

7 0
3 years ago
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