Answer:
no solutions
Step-by-step explanation:
3x+ 7(x+1) = 2(6x+5) -2x
Distribute
3x+7x+7 = 12x+10-2x
Combine like terms
10x+7 = 10x+10
Subtract 10 from each side
10x+7-10x = 10x+10-10x
7 = 10
This is not a true statement so there are no solutions
Answer:
24.5672 cm² (answer rounded up to four decimal places)
Step-by-step explanation:
The area of the shaded region = The area of the circle with a diameter of 6.4 cm - the area of the two circles with diameters of 2.2 cm each
The area of the circle with a 6.4 cm diameter is:
Area(A) = π × r²
The radius here is 
= 3.2 cm
A = π × 3.2² = 32.1699087728 cm² or 32.1699 cm² (rounded up to four decimal places)
The area of the the circles with diameters of 2.2 cm each is:
Area(A) = π × r²
But because the circles are two, the area will be;
A = 2 × π × R²
The radius here is 2.2 cm ÷ 2 = 1.1 cm
A = 2 × π × 1.1² = 7.60265422169 cm² or 7.6027 cm² (rounded up to four decimal places)
The area of the shaded region = 32.1699 cm² - 7.6027 cm² = 24.5672 cm²
Answer:
They are independent
Step-by-step explanation:
We have the following events:
* 16% of students play basketball
* 70% of students live in Murfreesboro
They ask us if each of the events are independent of the other, the answer is yes. Since the probability in the first event would be 16/100 and the second event 70/100, and at no time are they affected by each other.
They mention another event that that depends on these two:
* 11% of students play basketball and live in Murfreesboro
(16/100) * (70/100) = 0.112, which is equal to 11.2%, which is approximate to the event they mention.
Answer:
b is the answer
Step-by-step explanation:
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
