Answer:
p = 2 ; q = 4
Step-by-step explanation:
Given tbe equation :
3p + 2q = 14 - - - (1)
10p + 6q = 44 - - -(2)
What is p and what is q
This is a simultaneous equation ; using elimination method :
Multiply (1) by 6 and (2) by 2
18p + 12q = 84 - - - - (3)
20p + 12q = 88 - - - (4)
Subtract (3) and (4)
-2p = - 4
p = 4/2
p = 2
Put p = 2 in (1)
3p + 2q = 14
3(2) + 2q = 14
6 + 2q = 14
2q = 14 - 6
2q = 8
q = 8/2
q = 4
p = 2 ; q = 4
Answer:
Mrs. Cook has to grade 63 tests.
Step-by-step explanation:
In order to find the answer, first you have to calculate 80% of the number of tests Ms. Morris has:
35*80%= 28
Then, you have to add the number that represents 80% to the number of tests Ms. Morris has to grade:
35+28=63
According to this, the answer is that Mrs. Cook has to grade 63 tests.
Answer:
110
Step-by-step explanation:
10 x 11 = 110
lmao thank you sooo much for da pointsssss
Answer:
C
Step-by-step explanation:
Given
A = 
Substitute the given values with h = a, then
16.5 = 
( multiply both sides by 2 )
33 = a(a + 8) ← distribute
33 = a² + 8a ( subtract 33 from both sides )
0 = a² + 8a - 33 ← in standard form
0 = (a + 11)(a - 3) ← in factored form
Equate each factor to zero and solve for a
a + 11 = 0 ⇒ a = - 11
a - 3 = 0 ⇒ a = 3
However, a > 0 thus a = 3
Hence the height is 3 feet
Answer:
The two triangles are related by A - S - A test of similarity , so the triangles are congruent.
