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Minchanka [31]
3 years ago
14

in the following equation A & B are both integers. What is the value of a? What is the value of b?

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
3ax-8a=b-18x
3ax+18x=b+8a
3x(a+6)=b+8a

3x=(b+8a)/(a+6)
x=(b+8a)/3(a+6)
3a*(b+8a)/3(a+6)=b-18*(b+8a)/3(a+6)
a(b+8a)/(a+6)=b-6(b+8a)/(a+6)
a(b+8a)=b(a+6)-6(b+8a)
ab+8a^2=ab+6b-6b-48a
ab+8a^2=ab-48a
8a^2=-48a
8a^2+48a=0
8a(a+6)=0 so a=0,-6
0=b-18x or -18x+48=b-18x
-b=-18x or 48=b
let b=18 if a =-6
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The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.
Dmitry [639]
The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
\frac{360}{100} = \frac{130}{M}  \\ M=(100*130)/360 \\ M=36.11%

women voters
\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89%

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters

6 0
3 years ago
Pls help i dont know this one
telo118 [61]

Answer:

The answer is A :)

Step-by-step explanation:

6 0
2 years ago
What is the hypotenuse?<br><br> legs are 10 and 11
Anit [1.1K]
Hey!

You have to use the Pythagorean Theorem

a² + b² = c²

a = 10
10² = 10 × 10 = 100

b = 11
11² = 11 × 11 = 121

100 + 121 = 221

√221 = 14.9(rounded)

Answer ⇒ 14.9

Hope this helps! :)



3 0
3 years ago
Read 2 more answers
Can someone help me with this one i am confused
RideAnS [48]

Answer:

Formula: (x^2 -h) +(y^2 -k)=r^2

The number on the right side of the = is the radius of the circle squared.

(h,k) is the center of the circle.

4 0
3 years ago
.0190500 in scientific notation
arsen [322]
The answer is

1.905×10^-2

8 0
3 years ago
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