Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1
The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22
Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43
Quick check: 47 + 90 + 43 = 180
The answer is 423 since it's the closest number to 400 from all the numbers listed above.
The numbers 351 and 445 would also round to 400 but they are not the closest ones.
Hope it helped,
BioTeacher101
X = adults
Y = child
X+y=168
X=168-y
$10x + $7y = $1446
10(168-y) + 7y = 1446
1680 - 10y + 7y = 1446
-3 y = -234
Y = 78
X = 168-78
X = 90
$10*90 + $7*78 =
$900 + $546 = $1446
Answer:
Step-by-step explanation:
Use the distributive property.
<h3>
What is a distributive property?</h3>
Distributive property is a serving to distribute or allot or disperse.
<u>Distributive property:</u>
A(B+C)=AB+AC
A(B-C)=AB-AC
-10(1-9x)+6(x-10)
<u>Expand.</u>
-10(1-9x)
-10*1=-10
-10*9x=90x

6(x-10)
6*x=6x
6*10=60
6x-60
<u>Rewrite the problem down.</u>
= -10+90x+6x-60
<u>Combine like terms.</u>
90x+6x-10-60
<u>Add the numbers from left to right.</u>
90x+6x=96x
96x-10-60
<u>Finally, subtract the numbers from left to right.</u>
-10-60=-70

Therefore, the final answer is<u> 96x-70.</u>
I hope this helps, let me know if you have any questions.
To learn more about distributive property:
brainly.com/question/2807928
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