Answer
The correct answer should be 2/3, Nicholas should have divided the numerator and the denominator by the same greatest common factor.
Step-by-step explanation:
When simplifying fractions, you need to look at the value of the numerator (top number) and denominator (bottom number) and compare their factors. Factors are the number that we multiply to get that number. To simplify a fraction to lowest terms, you need to find the greatest common factor of both numbers and divide each number by the same factor. 20 has the following factors: 1, 2, 4, 5, 10, 20. 30 has the following factors: 1, 2, 3, 5, 6, 10, 15, 30. Although both 20 and 30 have the factors 1, 2, 5 and 10 in common, the greatest common factor is 10, so we divide both 20 and 30 by 10 to get 2/3.
-5.5x+0.56= -1.64
-0.56 -0.56
-5.5x= -2.2
/5.5 /5.5
x= -0.4 is the answer
9514 1404 393
Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
The figure shows two triangles. To find the the area of the shaded region, you have to substract the area of the larger triangle by the area of the smaller:
1. Area of the larger triangle:
A1=bxh/2
b=5 mm
h=2mm+4mm+6mm=12 mm
Then:
A1=5 mmx12mm/2
A1=30 mm²
2. The area of the smaller triangle, is
A2=bxh/2
b=3 mm
h=4 mm
Then, you have:
A2=3 mmx4 mm/2
A2=6 mm²
3.<span> The area of the shaded region is:
A3=A1-A2
A3=30 mm</span>²-6mm²
A3=24 mm²
4. Therefore, the answer is: 24 mm²
Answer:
Aidan got <u>56%</u> of votes.
Step-by-step explanation:
Given:
Aidan is running for student body president. In today's election, he received 462 votes out of a total of 825 votes cast.
Now, to find the percent of votes did Aidan get.
<em>Total votes cast = 825 votes.</em>
<em>Votes he received = 462 votes.</em>
Now, to get the percent of votes Aidan get:
Therefore, Aidan got 56% of votes.
