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lora16 [44]
3 years ago
10

During an election, Albert received 60% of the 30 votes cast. Anthony received the remaining votes. How many more votes did Albe

rt receive?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

Answer:

6 votes!

Step-by-step explanation:

Albert: 60% of 30= 18

Anthony: 40% of 30= 12

18 - 12= 6

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Deana bought 12 packages of batteries. Some of the packages contained 4 batteries and some contained 6 batteries. She bought a t
NARA [144]

Answer:

She bought 7 battery packs containing 6 batteries

Step-by-step explanation:

4bx5= 20 batteries

6bx7=42 batteries

42+20=62

7 0
2 years ago
Which equation has the solution x = 3?
arsen [322]
Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12

Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
____________
-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
________
x = -3

So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
-6 -6
__________
2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
__________
x = 3

So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
- 6 - 6
_____________
6x = 6

Now, divide by 6, on both sides:

6x = 6
÷ 6 ÷ 6
_____________
x = 1

So, the answer is not 'C.'
_________________________________________

4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
-x -x
_____________
6 = 16x

Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!
8 0
3 years ago
Find the diagonal length of a rectangular TV screen with the a length of 25 inches and a width of 28 inches.
Luba_88 [7]

Answer:

37.5 inches

Step-by-step explanation:

Applying the Pythagorean Theorem,

a²+b²=c²

where c is the diagonal length

c=√(25²+28²)= 37.5

7 0
3 years ago
alonzo brought 17 packs of cola to a party , and each pack had 8 cans. lisa brought 7 cans of juice. how many cans did they brin
yanalaym [24]

Answer:

143

Step-by-step explanation:

17 times 8 =136, 136 + 7 = 143

3 0
3 years ago
12)<br> It is given that 2(3 + x) = 6 + 2x. This is an example of the<br> property
kumpel [21]
Distributive property
3 0
3 years ago
Read 2 more answers
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