The answer is the first one
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.
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.
#SPJ12
c- line NO is congruent to line QR
d- angle N is congruent to angle Q
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
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.
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
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!!
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