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lapo4ka [179]
3 years ago
15

What is the equation for this?

Mathematics
1 answer:
Volgvan3 years ago
3 0
It's either the area of a cylinder or volume of a cylinder. You can find both at math.com.
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Given that XY is a line segment with the angle a = 48° and c = 59°, work out the value of the angle marked b.
olga nikolaevna [1]

Answer:

a+b+c = 180

48+59+b=180

107+b=180

b=180-107

b=73

6 0
3 years ago
Five times the difference of a number and two is seven more than that number
prisoha [69]
Answer: The number is: 4 ¼ ; or, write as 4.25 .
<span>_____________________________________________
</span>Explanation:
_______________
We set up the problem as:
_____________________________

5(x − 2) = 7+ x  ;  Solve for "x" (our "unknown number"; which is the answer).
____________________________________________________
Using the "distributive property of multiplication" :
____________________________________________________
a*(b + c) = ab + ac ; AND:

a* (b − c) = ab − ac ; 
_____________________________________________________
Let us take the "left-hand side" of our equation and expand it:
_______________________________________
5(x − 2) = (5*x) − (5*2) = 5x − 10 ;
_________________________________________
and rewrite the equation; substitute our "expanded value" for the "left-hand side";
________________________________
→ 5(x − 2) = 7+ x ;  ↔ 5x − 10 = 7+ x ;
____________________________________
Now, subtract "x" from EACH SIDE of the equation; & add "10" to EACH SIDE of the equation;
________________________________________________
 → 5x − 10 − x + 10 = 7+ x − x + 10 ; 
 _______________________________________________
 → to get:  4x = 17 ;  
________________________________________________
  → Now, divide EACH side of the equation by "4"; to isolate "x" on one side of the equation; and to solve for "x" (our answer);
________________________________________
 → 4x / 4 = 17 / 4; 
__________________________
 → x = 17/4  = 17 ÷ 4 = 4 ¼ ; or, write as 4.25 .
_________________________________________
→ Answer: The number is: 4 ¼ ; or, write as 4.25 .
_____________________________________________
→Let us check our answer: 
_____________________________________________
"Five times the difference of a number and 2"  ;
_____________________________________________
 → 5* (x − 2) = 5 * (4.25 − 2) = 5 * (2.25) = 11.25 ;

→ Is "11.25" ,  SEVEN MORE THAN 4.25??
_________________________________________
  → 11.25  −  4.25 =?? 7 ???  Yes!
__________________________________________
3 0
3 years ago
At a factory, a machine puts tops on bottles at a rate of 80 bottles per minute. How many tops can be put on bottles between 8:0
timama [110]

Answer:

= 36000 caps

Step-by-step explanation:

First we need to figure out how many minutes between 8 am and 3:30 pm

There are 7 hours and 30 minutes.

1 hour = 60 minutes

Multiply each by 7

7 hours = 7*60 minutes = 420 minutes

So 7 hours 30 minutes = 420 + 30 = 450 minutes

Bottle caps = rate * minutes

                   = 80 caps/minute * 450 minutes

                    = 36000 caps


6 0
4 years ago
Ariana is going to invest in an account paying an interest rate of 3.4% compounded monthly. How much would Ariana need to invest
sweet [91]

Answer:

Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.

After 14 years, the amount of money in Adrina's account is calculated by:

A = P x (1 + rate)^(time)

or

A = P x (1 + 3.4/12)^(14 x 12)

or

9200 = P x (1 + 3.4/12)^(14 x 12)

=> P = 9200/[(1 + 3.4/12)^(14 x 12)]

=> P = 5791.044$

Hope this helps!

:)

5 0
4 years ago
Plz help thank you very much
NARA [144]
-0.2 you divide 15 by 3 and get .2 but it indicates a weak positive correlation so it will become negative
5 0
3 years ago
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