The answer is ten hope this helps :-)
So, The value of p is -5/22
Step-by-step explanation:
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
12p+8-30p+5=2p-16-42p+24
-18p+13=-40p+8
-18p+40p=8-13
22p. =-5
p. =-5/22
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
Two numbers = 37
Larger number is x, so the smaller number is 37 - x:
x + (37 - x) = 37
“The difference” is subtraction, so we are subtracting the smaller and larger number.
“Nine more than twice the larger number” looks like 9 + 2x, and “the sum of the smaller number and three” looks like (37 - x) + 3. Because this is subtraction, we would write (9 + 2x) - (37 - x) + 3. First, distribute the negative sign:
-(37 - x) = -37 + x
We then simplify:
9 + 2x - 37 + x + 3 (subtract 3)
9 + 2x - 34 + x
-25 + 2x + x (subtract 8 and 34 then add 2x and x)
-25 + 3x
Answer:
84
Step-by-step explanation:
Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.
83+83+83+87 = 336
Divide by the total number of quizzes because they are equally weighted.
336/4 = 84
Her new average score is 84.
