Answer:
36 introverts
Step-by-step explanation:
Total number of adults in the survey = 120
Ratio of introverts to extroverts = 3:7
Number of introverts = ratio number of introverts / ratio total × 120
Ratio number of introverts = 3
Ratio total = 3 + 7 = 10
Number of introverts = 3/10 × 120
= 36
Answer:
137.5 in^2
Step-by-step explanation:
So, this is basically a rectangle and two right-sides triangles.
First the rectangle: Formula is A=wl
Replace the Values: A = 14*7 98 in^2
Then we solve for the two right-sides triangles.
A= 1
/2a
h=
1
/4
b
^2
sin
(2
θ
)
Top trinangle= A = 25.5 in^2 (height 7 in base 7 in)
Bottom Trinagle A = 14 in^2 (height 7 in base 4 in)
Add results:
98+25.5+14 = 137.5 in^2
when there is no number with redical sign here it is equivalent to the exponent " 1/2 "
but when it is 3 under redical x that means it is x^1/3
In first one 8 ^(9/2) is same as ( redical 8 ) ^9
In part B it is (3 under redical 125)^9 = ( 125 )^ 9/3 so this also same thing
In part C it is ( 12)^2/7) but the ( redical 12 ) ^7 is equal to ( 12)^7/2 so these two are not equivalent
in part D it is 4^1/5 but ( redical 4) ^5 = 4^( 5/2 which is also not equivalent
Answer : only A and B are equivalent
Let the number of baseball racks sold be x.
<span>Let the number of karate-belt racks sold be y. </span>
<span>a) </span>
<span>Since 6 times as many baseball racks is sold as karate-belt racks, we have: </span>
<span>x = 6y, which is our first equation </span>
<span>Net profit from baseball racks </span>
<span>= $3x </span>
<span>Net profit from karate-belt racks </span>
<span>= $5y </span>
<span>Total profit is $46000, so we have: </span>
<span>3x + 5y = 46000, which is our second equation </span>
<span>b) </span>
<span>x = 6y --- (1) </span>
<span>3x + 5y = 46000 --- (2) </span>
<span>Substituting (1) into (2), we will get: </span>
<span>3(6y) + 5y = 46000 </span>
<span>18y + 5y = 46000 </span>
<span>23y = 46000 </span>
<span>y = 46000 / 23 </span>
<span>y = 2000 </span>
<span>Substituting y = 2000 into (1), we will get: </span>
<span>x = 6(2000) </span>
<span>x = 12000 </span>
<span>c) </span>
<span>They should sell 12000 baseball racks and 2000 karate-belt racks.</span>
Answer: 
Step-by-step explanation:
Since we have given that
We need to write from least to greatest form:
First we convert each term in decimal form:
and,
so, we can arrange it in least to greatest form:
Hence,
