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3 years ago

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

1 answer:

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

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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

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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).

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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

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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:
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Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.

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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:

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3 years ago