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sdas [7]
4 years ago
15

The sum of two numbers is 6565. the larger number is fivefive more than threethree times the smaller number. find the two number

s.
Mathematics
1 answer:
Nimfa-mama [501]4 years ago
3 0
~You would set up the equation x+(3x+5)=6565
~Combine like products so 3x+x=4x.
~Now you have 4x+5=6565.
~Isolate the variable by subracting the 5 from both sides, so you have 4x=6560.
~Since you multiply x by 4, divide both sides by 4, and 6560 divided by 4 is 1,640.
*The first number is 1,640.
~Now to find the second number you simply plug in 1,640 to (3x+5), with 1,640 being x.
~That would become [3(1,640)+5].
~3 times 1, 640 is 4,920, and add the 5 so you get 4,925.
*The second and larger number is 4,925.
If you wanna check just add the two numbers, and you get 6565.

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Match the types of well formed formulas with the expressions. Negation Conjunction Disjunction Conditional Biconditional A. T &l
nikklg [1K]
<h3>Answers:</h3>
  • A. T <-> U  is a <u>biconditional</u>
  • B. (A & B) v (C & D)  is a <u>disjunction</u>
  • C. R -> ~S  is a <u>conditional</u>
  • D. P & Q   is a <u>conjunction</u>
  • E. ~(R v P)  is a <u>negation</u>

========================================

Explanations:

  • A biconditional is anything in the form A <-> B. This is a compact way of saying (A -> B) & (B -> A). We replace A and B with logical statements.
  • Disjunctions are of the basic form A v B. The "v" basically means "or".
  • Any conditional is of the form "if... then...". For example, "if it rains, then it gets wet outside" is a conditional. In terms of logic symbols, we write A -> B to mean "if A, then B".
  • Conjunctions are whenever we combine two logical statements with an "and" or an ampersand symbol. The basic form is A & B
  • Negations are the complete opposite of the original. If the original is P, then the negation is ~P, which is read as "not P".
6 0
3 years ago
2. The long-jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of
lakkis [162]

Answer:2. It’s 24.58

How many boards did the volunteers supply round your calculations to the nearest hundred- 13.44

How many whole boards-14

Step-by-step explanation:

8 0
3 years ago
A rabbit population doubles every 4 weeks. There are currently five rabbits in a restricted area. If t represents the time, in w
My name is Ann [436]
First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.
6 0
3 years ago
Clayton has $500 in his retirement account, and Jason has $400 in his. Clayton is adding $10 per day, whereas Jason is contribut
daser333 [38]

Answer:

$1000

Step-by-step explanation:

We can form an equation for Clayton's account: C = 500 + 10x

We can form an equation for Clayton's account:  J = 400 +12x  

(where x is the number of days)

When the two accounts will contain the same amount, it means: C = J

<=> 500 + 10x  = 400 +12x  

<=> x =50

After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000

6 0
3 years ago
Could yall please help me out w this ​
DENIUS [597]

Answer:

answer is ........ C

Step-by-step explanation:

7 0
3 years ago
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