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marin [14]
3 years ago
15

Solve for e: 7 e - 4 = 31

Mathematics
2 answers:
Zepler [3.9K]3 years ago
4 0
(e=5)

7e-4=31
7e=35
e=5
Nady [450]3 years ago
3 0

Answer:

e=5

Step-by-step explanation:

7e-4=31  Add 4 on both sides of the equation.

7e=35     Divide both sides of the equation by 7.

<u>/7   /7</u>

e=5

I hope this helps!! Have a great day o(*U▽U*)ブ

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Frankie and Maria paid to get into the carnival, and they had to pay a certain amount per game. Frankie played 5 games and spent
Natali [406]

Answer:

It cost $8 per person to get into the carnival

Step-by-step explanation:

Let the entry cost be y

Let Cost of 1 game be x

Cost of 5 games = 5x

Cost of 12 games = 12x

Frankie played 5 games and spent $15.50 altogether.

So, 5x+y=15.50 --- A

Maria played 12 games and spent $26 altogether.

So, 12x+y=26 -- B

Plot the lines

5x+y=15.50 --- Black color

12x+y=26  --- Red color

Intersection point provides the solution

(x,y)=(1.5,8)

So, it cost $8 per person to get into the carnival

6 0
3 years ago
Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
Jobisdone [24]
This question is in reverse (in two ways): 

<span>1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero. </span>

<span>The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse. </span>

<span>Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero. </span>

<span>2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0). </span>

<span>For example, given the number 3, and its additive inverse -3, if you add them, you get zero: </span>
<span>3 + (-3) = 0 </span>

<span>However, their "difference" will be 6 (or -6, depending which way you do the difference): </span>

<span>3 - (-3) = 6 </span>
<span>-3 - 3 = -6 </span>

<span>(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3). </span>

<span>--- </span>

<span>A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven". </span>

<span>It can be written as an endless decimal expansion </span>
<span>0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational". </span>

<span>Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3") </span>

<span>The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) </span>

<span>The additive inverse of 4/7 is -4/7 </span>

<span>and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") </span>

<span>(4/7) + (-4/7) = 0/7 = 0 </span>

<span>If you need to "prove" it, you begin by the existence of additive inverses in the integers. </span>
<span>ALL integers each have an additive inverse. </span>
<span>For example, the additive inverse of 4 is -4 </span>

<span>Next, show that this (in the integers) can be applied to the rationals in this manner: </span>

<span>(4/7) + (-4/7) = ? </span>
<span>common denominator, therefore you can factor out the denominator: </span>

<span>(4 + -4)/7 = ? </span>
<span>Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero </span>
<span>(0)/7 = 0/7 = 0 </span>

<span>Since this is true for ALL integers, then it must also be true for ALL rational numbers.</span>
5 0
3 years ago
Sas<br> Asa<br> These triangles cannot be proven congruent<br> Help please
AlekseyPX
AAS rule can prove these triangles are congruent cuz u see two angles are marked as equal to each other but the side that’s overlapped on each other(the line the triangles are sharing) shows that the side is equal length to each other.
3 0
3 years ago
When dahlia meets her fitness trainer which quantity would be appropriate for describing the amount of milk she drinks each day?
vfiekz [6]

Answer:

Step-by-step explanation:

There aren't any choices, but I'd guess that she'd use pint or cup.

3 0
3 years ago
Read 2 more answers
Kenny worked 6.5 hours on Monday, and 5 hours on Tuesday. If he received a check for $143.75 for working those 2 days, how much
Troyanec [42]

Answer:

Kevin makes $12.50 per hour.

Step-by-step explanation:

If Kevin works 6.5 hours on Monday and 5 hours on Tuesday, he works a total of 11.5 hours. Over 11.5 hours he makes $143.75. To find your answer, you have to divide your total earned, 143.765, by the total time worked, 11.5 hours. Your answer should then be 12.5, which is the amount per hour kevin earns.

5 0
3 years ago
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