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lubasha [3.4K]
3 years ago
12

The sum of three consecutive even integers is -396. What is the largest of the three integers?

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
Let x, x + 2 and x + 4 be three consecutive even integers;
Then x + x + 2 + x + 4 = - 396;
3x + 6 = -96;
3x = - 102;
x = ( -102 )÷3 ;
x = - 34;
The numbers are - 34 ; -32 ; - 30;
The largest of the three integers is - 30.
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A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax c
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The total percentage of the equation is 1,597.72
6 0
3 years ago
At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom
jekas [21]

Answer:

In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

P(B)=40%

P(AorB)=76%.

Using the formula:

P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).

5 0
2 years ago
Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen
elena-14-01-66 [18.8K]

Answer:

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

\frac{x^2}{a^2} - \frac{y^2}{b^2} =1

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b  = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1

7 0
3 years ago
Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
Fractions equivalent to -2/-3
Amanda [17]

Answer:

2/3, 4/6, -4/-6... gtg sorry if you needed more

Step-by-step explanation:

7 0
3 years ago
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