a gym holds one 60- minute exercise class on Saturday and several 45 minute classes lasted a total of 285 minutes. write a equation to find the number of weekday classes
Answers
60+45a=285
Where 60 is the Saturday class, 45a are the 45 minute weekday classes times a amount of classes and 285 is the total amount of minutes.
Also, here is how to solve the equation to find the number of weekday classes, which is 5.
60+45a=285
-60 -60
45a=225
----- -----
45 45
a=5
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32 in³
11 in³
25 in³
17 in³
Answers
The only part of this problem that's the least bit tricky is knowing
the formula for the volume of a sphere. Here is is:
Volume of a sphere = (4/3) (pi) (radius of the sphere)³ .
Everything else is just arithmetic.
pi . . . use 3.14
Radius . . . 2-1/8 inches. It'll be easier if we write that as 2.125 inches.
Now, just put the numbers into their places in the formula:
Volume = (4/3) (pi) (radius of the sphere)³
= (4/3) (3.14) (2.125)³
and run that through your calculator.
When I run it through mine, I get 40.174 in³ .
None of the choices is anywhere near that number.
I'm worried, and I don't understand that.
Maybe we should look back at the question, and notice that
it says "estimate" ... something you do quickly in your head.
OK. We know the real formula ... Volume = (4/3) (pi) (radius)³ .
How could we estimate this quickly in our head?
pi . . . instead of 3.14, just use 3
radius . . . instead of 2-1/8, just use 2 . Then (radius)³ = 2 x 2 x 2 = 8
Then (4/3) (pi) (radius)³ = (4/3) (3) (8) = (4/3) of 24 = 32 .
Well now, will you look at that ! I guess that's where the 32 came from
on the list of choices.
Answers
Answers
Answers
The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have a polynomial function:
f(x) = x⁴ + x³ – 8x² – 12x
First, find the roots or zeros of the polynomial.
Using the factorization method:
We can write the above polynomial as:
f(x) = x(x³ + x² - 8x - 12)
Or
f(x) = x(x + 2)(x + 2)(x - 3)
Or
f(x) = x(x + 2)²(x - 3)
The zeros are:
x = 0
x = -2
x = 3
Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Learn more about Polynomial here:
#SPJ6
Answer: 2
Step-by-step explanation:
Answers
Boy A gets $34, boy B gets $17 and boy C gets $51 and this can be determined by forming the linear equation and by using the arithmetic operations.
Given :
- Total Amount = $102
- Total number of boys = 3
- A gets twice as much as B and C gets 1.5 times as much as A.
It is given that A gets twice as much as B, that is:
A = 2B
----- (1)
It is also given that C gets 1.5 times as much as A, that is:
------ (2)
Given that the total amount is $102, that is:
A + B + C = 102 --- (3)
Now, put the value of B and C in equation (3).
3A = 102
A = $34
Now, put the value of A in equations (1) and (2).
B = $17
C = $51
Boy A gets $34, boy B gets $17 and boy C gets $51.
For more information, refer to the link given below:
A=2x
C=2x*1.5=3x
6x=102
x=17
A=34
B=17
C=51