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Among the choices provided the incorrect statement is "<span>Playing sports will cause students to get better grades in school."</span>
Answer: 45 points
Step-by-step explanation:
Let the point of the entire team be represented by x.
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:
40% of x = 18
40% × x = 18
40/100 × x = 18
0.4 × x = 18
0.4x = 18
x = 18/0.4
x = 45
The team's total point is 45
Answer:
y = 8
Step-by-step explanation:
Step 1: Write out equation
13 + 3y = 37
Step 2: Subtract 13 on both sides
3y = 24
Step 3: Divide both sides by 3
y = 8
Answer: 70.909090909091%
Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.
It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.
So we have the equation 
So cross canceling the 110 and 100 to 11 and 10, we have 
Multiply both sides by 10 to get rid
of the fraction and we have 780 = 11x.
Now divide both sides by 11 and 70.909090909091 = x.
So, 78 is 70.909090909091% of 110.
Work is attached in the image provided.
Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
