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hammer [34]
3 years ago
5

If ethan has 109 points and he spends 52 out of his 109 points how many will he have

Mathematics
2 answers:
jasenka [17]3 years ago
7 0

Answer:

57 points

Step-by-step explanation:

andrey2020 [161]3 years ago
5 0

Answer:

47

Step-by-step explanation:

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Find two consecutive even integers such that the square of the second, decreased by twice the first is 52
Fiesta28 [93]

Let the first integer be x. So, the next even number is x+2

Let's translate the formula: the square of the second is (x+2)^2, twice the first is 2x. So, the equation is

(x+2)^2 - 2x = 52

Expand the square to get

x^2+4x+4-2x = 52 \iff x^2+2x+4 = 52 \iff x^2+2x - 48 = 0

The solutions to this equations are

x = -8,\quad x = 6

So, the possible consecutive even numbers are

-8\text{ and } -6\quad\text{or}\quad 6\text{ and } 8

8 0
3 years ago
Seven pipes empty a water tank in five days. In how many days would four pipes empty this tank?
gayaneshka [121]

Answer:

8.75 days

Step-by-step explanation:

7/4=1.75

1.75*5=8.75

5 0
3 years ago
You and your friend are going to some candy. You eat 3/4 of a box of candy. Your friend eats 1/2 as much as you do. How much of
pochemuha

Answer:

\frac{3}{8}  of a box of candy your friend eat.

Step-by-step explanation:

Given:

You and your friend are going to some candy.

You eat 3/4 of a box of candy.

Your friend eats 1/2 as much as you do.

Now, to find that how much of a box of candy does your friend eat.

<em>Quantity of a box of candy you eat = </em>\frac{3}{4}<em />

<em>Quantity of candy your friend eat</em> = \frac{1}{2} \ of\ \frac{3}{4}

Now, to get how much the candy your friend eat we multiply 1/2 and 3/4:

= \frac{1}{2} \times \frac{3}{4}

= \frac{3}{8} .

Therefore, \frac{3}{8}  of a box of candy your friend eat.

7 0
3 years ago
(sinA÷secA)÷(cosA÷sinA) =tan A​
Sloan [31]

(Sin A/ secA) × ( sec A / cos A) = Sin A / cos A = tan A

Question should be cos A ÷ sec A

4 0
3 years ago
To rent a jet ski at Sam’s costs $25 plus $3 per hour. At Claire’s, it costs $7 plus $6 per hour. At how many hours will the ren
skad [1K]

Answer:

 The number of hours that the cost of renting a ski jet will become equal in both shops is 6(hours)

Step-by-step explanation:

  Extracting the key information from the question:-

*** Renting a jet ski at Sam's establishment costs $25 and additional $3 per hour.

*** Again, it costs $7 and additional $6 per hour to rent a jet ski at Claire's establishment.

*** We are required to find out the number of hours that the rental cost of jet ski at both shops will be the same.

  What we are basically required to do is to find that number of hours that you can rent a jet ski and you wouldn't need to worry about the shop that renting it's jet ski will be more affordable in because the cost will be the same in both establishment when renting the jet ski at a particular number of hours.

    For example, in that number of hours, the cost in Sam's shop and Claire's shop will now both be say, $50.

   Since it costs a down payment of $25 plus additional $3 for each hour we make use of the jet ski at Sam's establishment, then the cost of renting a jet ski at Sam's shop for that number of hours that the cost will become equal in both shops is:

  =  25  +  3x

 Again, we are informed that it costs $7 down payment and additional $6 per hour that a jet ski from Claire's establishment will b rented and used. Then the cost of renting a jet ski at Claire's establishment for that number of hours that the cost will become equal in both shops is:

   

       = 7 + 6x

 Since at this unknown number of hours (x hours) the cost of renting a jet ski at Sam's shop will be equal to the cost of renting a jet ski at Claire's establishment, then marrying the equations, we will have:-

25 + 3x = 7 + 6x

We now pair like terms

6x - 3x  = 25 - 7

   3x  =  18

    x  = 18/3

    x  = 6

  Therefore, that number of  hours that the cost of renting a jet ski will become equal in both Sam's and Claire's establishment is 6 hours.

   

3 0
3 years ago
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