Answer:
girls = 125
boys = 87
Step-by-step explanation:
Total number of students in the 8th grade class = 212
Let g represent girls and b represent boys
Number of girls, g = 2b -49
Note that boys and girls in the class give a total of 212
So,
g + b = 212 ....eq 1
Slot in the value of g in the equation
2b - 49 + b = 212
2b + b - 49 = 212
3b - 49 = 212
Add 49 to both sides
3b - 49 + 49 = 212 + 49
3b = 261
Divide both sides by the coefficient of b which is 3
b = 87
Now that we've found the number of boys, let's find that of girls
We will slot in the value of b in eq 1
g + 87 = 212
Subtract 87 from both sides
g + 87 - 87 = 212 - 87
g = 125
So the number of boys is 87 and the number of girls is 125
The estimate would be 2+3 5+2 and 6+1
so 577
you can also just round and do 250 +300= 550 +20=570
Answer:
When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:
2 + 4 = 6
would be the answer.
On the other hand, raising a power to a power, is actually multiplying them. So it would just be:
2 ⋅ 4 = 8
would be the answer.
Answer:
1/5
Step-by-step explanation:
That little weird backwards E covers all the elements within the box in the diagram. There are x(x - 2) paintings from the 20th century, 2x + 8 British paintings, x paintings that are both British and come from the 29th century, and 10 that are neither of these. These should all add up to 60:
x(x - 2) + (2x + 8) + x + 10 = 60
x² - 2x + 3x + 18 = 60
x² + x - 42 = 0
(x + 7)(x - 6) = 0
x = -7 or x = 6
Obviously, we can’t have a negative number of paintings, so x = 6.
Out of the paintings, we choose one that is from the 20th century, and there are:
x + x(x - 2) = 6 + 6 * (6 - 2) = 6 + 24 = 30 paintings from the 20th century
x of these are also British, so since x = 6, the probability we’re looking for is:
6/30 = 1/5
The answer is 1/5.
