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Answers

Answer 1
Answer:

The answer is the first one


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Kalon and his friend Marna own a chimney sweep service company. Working together, they can clean a chimney in 1 5/7 hours. If it takes Kalon 4 hours to clean a 20-foot chimney by himself, how long does it take Marna to clean the same size chimney by herself?

Answers

So to set up the equation we have:4M4+M=127
28M=12(4+M)
28M=48+12M
28K−12M=48
(28−12)M=48
16K=48
M=4816
M=3So Marna can clean the chimney alone in 3 hours

Final answer:

To find the time it takes for Marna to clean a 20-foot chimney by herself, we first determine the combined and individual rates of Marna and Kalon. We then subtract Kalon's rate from the combined rate to find Marna's rate and subsequently her individual cleaning time which is 3 hours.

Explanation:

The subject of this question is Mathematics, specifically dealing with the concept of rates and time. To solve this problem, we first need to express the combined rate of Kalon and Marna working together. The combined rate is expressed as 1 job per 1 5/7 hours, which simplifies to 7/12 of a chimney per hour.

Kalon's individual rate is 1 job per 4 hours, this simplifies to 1/4 of a chimney per hour. The formula we'll use is (1/Marna's time) =  combined rate - Kalon's rate. Therefore, Marna's rate will be (7/12 - 1/4), simplified to 1/3 of a chimney per hour. Hence, Marna would require 3 hours to clean a 20-foot chimney by herself.

Learn more about Rates and Time here:

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If triangle MNO is congruent to triangle PQR , which of the following can you NOT conclude as being true.. a- line MN is congruent to like PRb- angle M is congruent to angle P
c- line NO is congruent to line QR
d- angle N is congruent to angle Q

Answers

The correct answer is:

A) line MN is congruent to line PR.

Explanation:

We are told that MNO is congruent to PQR. Using this congruence statement, corresponding parts of the triangles are congruent. This means that line MN would be congruent to line PQ, not line PR.

Answer:

a- line MN is congruent to line PR.

Step-by-step explanation:

It is given Δ MNO ≅PQR.

In congruent triangles corresponding sides and corresponding angles are same .

Hence

< M≅<P ,

Line NO= Line QR.

<N≅<Q.

Line MN≅Line PQ.

Among the given options options b,c,d are correct except option a.

We can  NOT conclude as being true.. a- line MN is congruent to line PR

Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

Answers

When Ivan divides his coins into groups of 2 nickels and 1 quarter, worth $0.35, he find that he has $8.75/$0.35 = 25 such groups.

Ivan has 25 quarters and 50 nickels.

Answer:

  • The number of nickels coins are : 50
  • and the number of quarter coins are: 25

Step-by-step explanation:

Let n denote the number of nickels.

and q denote the number of quarters.

1 nickel=0.05 dollar

and 1 quarter=0.25 dollar

Hence, we have:

0.05n+0.25q=8.75

( Since, Ivan has $8.75 in nickels and quarters in his desk drawer )

On multiplying both side of the equation by 100 we have:

5n+25q=875

on dividing both side of the equation by 5 we have:

n+5q=175-----------------(1)

Also, n=2q---------------(2)

( Since, the number of nickels is twice the number of quarters )

Hence, on putting equation (2) in equation (1) we have:

2q+5q=175

i.e.

7q=175

i.e.  q=25

and on putting the value of q in equation (2) we have:

n=50

What is the rate of change from 1 to 3

Answers


The rate of change is    (amount of the change) / (time it took to change) .

Amount of the change = (3 - 1) = 2 .

Rate of change = (2) / (time it took to change from  1  to  3) .

Find the sum of the geometric sequence 4, 16, 64, 256, 1024

Answers

The formula for sum of a GP is 
S_n= (a_1(1-r^n))/(1-r)
Where S_n is the sum of 'n' terms, a_1 is the first term, 'r' is the common ratio
The common ratio is 16 divided by 4, that's 4

S_(5)= (4(1-4^5))/(1-4)
S_(5)= 1364

Answer:

4

Step-by-step explanation:

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $110 and $130.

Answers

Answer:

Step-by-step explanation:

Applying the formula for normal distribution,

z = (x - u)/s

Where u = mean

s = standard deviation

x = the monthly utility bill in dollars

From the information given,

s = 23

u = 121

The probability that a randomly selected utility bill is between $110 and $130 is expressed as

P(110 lesser than or equal to x lesser than or equal to 130)

For 110

z1 = (110 - 121)/23 = - 11/23

z1 = - 0.4783

Looking at the normal distribution table,

The corresponding z score is 0.3192

For 130

z2 = (130 - 121)/23 = 9/23

z2 = 0.391

Looking at the normal distribution table,

The corresponding z score is 0.65173

P(110 lesser than or equal to x lesser than or equal to 130) = 0.65173 - 0.3192 = 0.33253