Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
Answer:
Step-by-step explanation:
1) P= Area of Circle/ Area of large rectangle
Area of the circle = pi·r² = pi·2²=4 pi ft.²
Area of large rectangle= l·w -12·10 =120 ft.²
P = 4pi/120 rewrite 120 as 4·30
P= 4 pi/4*30 = pi/30 = 3.14/40 ≈ .1047 ≈10% (because .1047·100 =10.47≅10)
2) P = Area of smaller rectangle/ Area of large rectangle
Area of smaller rectangle = l·w = 2·4 =8 ft.²
Area of large rectangle=l·w = 12·10=120 ft²
P= 8/120 ≅ .0666≅ 7% (because .0666·100 =6.66≅7)
3) P= Not the circle or smaller rectangle/ Area of large rectangle
Not the circle or smaller rectangle area
= Area of large rectangle - Area of circle -Area of smaller rectangle
= 120 -4·pi -8 = 120 - (4· 3.14) -8 = 99.4362939 ft²
Area of large rectangle = l·w = 12·10 =120 ft²
P = 99.4362939 /120 ≅ .8286 ≅83% (because .8286·100 =82.86≅83)
Answer:24
Step-by-step explanation:Let the number we seek be X.
We are Given:
1). (5X+3 ) x (2) = 30
Expand and Rearrange.
(10X +6 ) = 30.
10X = 24.
2). X equals 2.4 . This is the answer for the number we seek.
Always check the answer.
This is Good Working Practice ALWAYS.
For Exams or similar remember:
Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.
All these count in most exams.
The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.
Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.
CHECK: Substitute the answer for X into the original equation 1).
Equn. 1). (5X +3)*2 = 30.
Put in the value for X. Expand & Re-arrange.
(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.
( 12 + 6 ) = 30.
24 = 24. Checked & Agreed.
That’s about it.
Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.
According to the given histogram,
0-20 years occur 15 times,
21-40 years occur 40 times,
41-60 years occur 40 times,
61-80 years occur 15 times.
This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).
Answer: correct choice is B.
