Hey there, Bulgogi!
The correct answer will be the first one since [I'm assuming] you know that to calculate the percentage of something, it's the amount of that something divided by the total amount but since only 30 students voted [12+18] multiplied by 100.
So, we are calculating the percentage on votes and 12 students voted for Candidate A so our Numerator will be 12 and our Denominator will be the total amount of student who voted, so 30 [or 12+18]
Once put into a fraction, we will get
which would be equals to 2/5 or 0.4. Now we multiply by 100 and we get a total of 40% for Candidate A.
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Sorry i dont know ether i need help on this one 2
We will call small boxes x and big boxes y. This will mean that we have 2 different equations using the same two unknown weights. So, 2×y+8×x=106 and 5×y+2×x=103. Find how x and y relate to each other and apply it to one any of the equtions. 5y+2x=103 is the same as 5y=103-2x, and same as y=(103-2x)/5. Apply this relation we found to the other equation and we can find 2((103-2x)÷5)+8x=106, to (206-4x)÷5+8x=106, to (206+36x)÷5=106, to 206+36x=530, to 36x=324, to x=9. Apply again to any equation to find y, 5y+2(9)=103. 5y+18=103, to 5y=85, so y=17. Small boxes are 9kg and large boxes are 17kg
The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180
Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180
Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31
<em>ANSWER: x = 31</em>
Answer:
37.68 inches
Step-by-step explanation:
Circumference = 12 x 3.14
Circumference = 37.68
Hope that helps!