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GarryVolchara [31]
3 years ago
12

a machine packs boxes at a constant rate of 2\3 of a box every 1\3 minute. what is the number of boxes per minute that the machi

ne packs?
Mathematics
1 answer:
dem82 [27]3 years ago
6 0
2 boxes per minute. 1/3 of a minute, is 20 seconds. so 2/3 of a box is made every 20 sec. Now, if there are 3, 20 sec periods in a minute, so multiply 2/3 (0.666667) boxes by 3 =2 boxes
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A particular circle in the standard (x,y) coordinate
matrenka [14]
For any circle with Cartesian equation
(x-a)^2 + (y-b)^2 = r^2,
we have that the centre of the circle is (a,b), and the radius of the circle is r.

So in the case that 
(x-5)^2 + y^2 = 38,
we essentially have that
a = 5, b = 0, r^2 = 38.

So the centre of the circle is (5,0), and the radius is \sqrt{38}.
7 0
4 years ago
Please help with these math questions
Tanya [424]
1.
a^2+b^2=c^2
easy
a=a
b=13
c=21
a^2+13^2=21^2
a^2+169=441
minus 169 both sides
a^2=272
sqrt both sides
a=16.4924
D is answer



2. same thing
a=18
b=26
18^2+26^2=c^2
324+676=c^2
1000=c^2
sqrt both sides
31.6228=c
C is answer



3.
one way is to plug them in
remember that hypotonuse is longest side
A. 7^2+24^2=25^2, is that true?, yes it is treu
answer is A



4.
legs are 6 and 4
a=6
b=4
c=x
4^2+6^2=x^2
16+36=x^2
52=x^2
sqrt both sides
7.2111=x
7.2=x



5.c=20
a=x
b=14

x^2+14^2=20^2
x^2+196=400
minus 196 both sides
x^2=204
sqrt both sides
x=14.2829
x=14.3




1. D
2. C
3. A
4. 7.2
5. 14.3

4 0
3 years ago
I need the equation and the answer please it’s due tonight
Greeley [361]

Answer:

The answer is 27.15

this is your equation to your answer step by step

4.40+ 3.25=

7.65

7.65+3.25=10.9

10.9+3.25=14.15

14.5+3.25=17.4

17.4+3.25=20.65

20.65+3.25=23.9

23.9+3.25=

6 0
3 years ago
The Garzas plan to invest $2,000 for 5 years. What annual simple interest rate must the investment earn in order for the Garzas
insens350 [35]

Answer:

r=20%

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=5\ years\\ P=\$2,000\\ A=\$4,000\\r=?

substitute in the formula above

4,000=2,000(1+5r)

solve for r

2=(1+5r)

5r=2-1\\5r=1\\r=\frac{1}{5}=0.20=20\%

8 0
3 years ago
PLEASE HELP <br> Find the value of x in the triangle shown below.
MA_775_DIABLO [31]

Answer:

82^o

Step-by-step explanation:

74 + 24 = 98

180 - 98 = 82^o

Hope it helps!

5 0
3 years ago
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