Samir buys x cans of soda at 30 cents each and (x+4) cans of soda at 35 cents each. The total cost was $3.35. Find x

Answers

Answer 1
Answer:

An equation is formed of two equal expressions. The value of x is 3.23.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The cost of x cans can be written as =x * 0.30

The cost of (x+4) cans can be written as,

(x+4) * 0.35\n= 0.35 x+ 1.4

Now, the total cost of the cans is given to us like $3.35, therefore, the value of x can be written as,

(0.30x) + 0.35x+ 1.4 = 3.35\n\n0.65x = 3.5-1.4\n\nx = (2.1)/(0.65)\n\nx = 3.23

Hence, the value of x is 3.23.

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Answer 2
Answer: 0.30is the cost of the first type of soda. 0.35(x+4) is the cost of the second type of soda. Put these into an equation looking like:

Cost of Soda A + Cost of Soda B = Total Cost
0.30+ 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Add the x's and subtract 1.4
0.65x = 1.95 --> Divide by 0.65
x = 3

Samir buys 3 cans of soda at 30 cents each and 7 (3+4) cans of soda at 35 cents each. Samir buys a total of 10 cans of soda.

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If a number ends with 0, then it is divisible by 10. What is the contrapositive of this statement?

Answers

Answer:  The contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".

Step-by-step explanation: We are given to write the contrapositive of the following statement:

"If a number ends with 0, then it is divisible by 10".

We know the contrapositive of a conditional statement of the form

"If p then q" is given by "If  not q then not p".

Or,

the contrapositive of "p ⇒ q" is "~q ⇒ ~p".

So, the contrapositive of the given statement is

"If a number is not divisible by 10, then it does not end with 0".

Thus, the contrapositive of the statement is

"If a number is not divisible by 10, then it does not end with 0".

The contrapositive of the statement p\implies q is \neg q\implies \neg p.

So the contrapositive for this statement would be, "If a number is NOT divisible by 10, then it does NOT end with 0". ("not" capitalized for emphasis)

Select the correct answer.Evaluate the following expression when x = -4 and y = 4.
X to the 6th power -x/4y
A.
1,023/4
B.
1,023
C.
1,025/4
D.
16,385/4

Answers

The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
when x = -4 and y = 4.

Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4

Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

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Final answer:

After evaluating the expression x^6 - x/4y with the given x = -4 and y = 4, the answer comes out to be 4096.25, which is not currently listed in the provided options. A likely explanation for this could be a typo or error in the question.

Explanation:

The given expression is: x^6 - x/4y . Now, let's substitute the given values x = -4 and y = 4 into the expression.

Therefore, (-4)^6 - (-4/4*4) = 4096 - (-4/16)

This gives 4096 - (-1/4) or 4096 + 1/4.

That simplifies to 16384/4 + 1/4 = 4096.25 which is none of the options presented. Hence, the correct answer should be "4096.25."

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Simplify: sqrt(200) - sqrt(32)

Answers

it would be 14- 8 which equals 6 so the answer would be 6
sqrt(200) - sqrt(32)--------------------------------sqrt(200) simplifies to ----> 10 root 2sqrt(32) simplifies to ----> 4 root 2sooo....(10 root 2) - (4 root 2) = 6 root 2

What is 6.54 as a mixed number

Answers

The number given in the question is in decimal form. It has to be first changed to fraction and then only can it be changed to a mixed fraction. The calculations have to be done correctly and then the problem is very straight forward.Now let us concentrate on the problem in hand.
Then
6.54 = 654/100
       = 327/50
       = 6 27/50
From the above deduction we can definitely conclude that the mixed number for 6.54 is 5 27/50. I hope this simple procedure will help you to attempt such type of problems in future without requiring any additional help.
If you would liketo write 6.54 asa mixed number, you can do this using the following step:

6.54 = 6 54/100 = 6 27/50

Result: 6.54 equals to 
6 27/50 asa mixed number.

Angela pays $393 in advance on her account at the athletic club. Each time she uses the club, $5 is deducted from the account. Write and equation in her account after x visits to the club. Find the value remaining in the account after 18 visits.

Answers

In this question, we're trying to find how much money she'll have after 18 visits.

We know that she already paid $393 dollars

We also know that there is a $5 deduction from the account for every time she uses the club

x = visits to the club

y = value remaining in the account

Our equation would be:

y = -5x +393

Since we know that she visited the club 18 times, plug 18 into x and solve:

y = -5(18)

y = -90 + 393

y = 303

This means that after 18 visits, there will be a remaining balance of $303

Answer:

$303

Answer:

y= 393- 5(x)    after 18 visits value remaining in her account is 303$

Step-by-step explanation:

let the amount in her account be y $

y= 393- 5(x)  where x is the number of visits.

after 18 visits y= 393- 5(18)= 393-90= $303

Evan will spend $835.90 for new carpeting. He has $765.00 in the account linked to his debit card. The bank charges $5 penalty fee, per day, for using his debit card to make purchase if he doesn't have enough funds in his account. What will he pay altogether if he chooses to use his debit card and doesn't put any more money in his account for 3 days?

Answers

Either way, he still has to pay his 835.90. the additional fee is 5 per day and he does'nt pay the rest in 3 days so thats $15.

$835.90 + 15 = $850.90