Answer:
Step-by-step explanation:
In this question, you are combining like terms, meaning doing equations to numbers that fit with only each other.
<u>So we should start on the number without variables:</u>
23 and 27
<u>Match them up together and you should find your first equation:</u>
23 - 7
==> -4
So we should have -4 + 8m + 4n - 5m
Now we should combine the numbers with the variable of m:
8m and 5m
<u>Match them up together and you should find your first equation:</u>
<u></u>
8m - 5m
==> 3m
So we should now have -4 + 3m + 4n
<u></u>
<u>Since there are no other variables of n, we are all done:</u>
<u>-4 + 3m + 4n is your final answer </u>
Answer:
The Value of 
.
Step-by-step explanation:
We have Named the figure please find the attachment for your reference.
Given:
PR = y
QR = a
RS = b
PS = z
PQ = x
QS = 15
∠P = 90°
∠R = 90°
∠Q = 60°
∠S = 30°
We need to find the Value of 'a'.
Solution:
Now we know that:
In Δ PQS
∠P = 90°
∠S = 30°
Now we know that;
Substituting the given values we get;
Now we know that;
So we can say that;
Now In Triangle PQR.
∠R = 90°
∠Q = 60°
So we can say that;
Substituting the given values we get;
Now we know that;
So substituting the values we get;
By Using Cross Multiplication we get;
Hence The Value of .
Answer:
There was a 24% decrease
Step-by-step explanation:
Percentage decrease = (final season's score - semi-final score) / semi final score x 100
×100
× 100 = -24%
Answer:
JK got 30 answers correct on a 50 item test.
Step-by-step explanation:
It is given that:
Total items on test = T = 50
Fraction of total items that were answered correctly = 3/5
We simply have to multiply the total number of questions by the fraction of correct answers.
So,
The correct answered number of items are:
Hence,
JK got 30 answers correct on a 50 item test.
