Carlos went out to a restaurant for dinner. he tipped 25% of his bill, which brought the sum of the dinner bill plus the tip to $45. how much was the original bill?

Answers

Answer 1

Answer: 45*0.75
the answer is $33.75

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A triangle has one angle that measures 35°. which values could be the measures of the other two angles?
F(1)=7, f(n)=-4*f(n-1)+15
The perimeter of a square garden is to be at least 22 feet but not more than 36 feet. Find all possible values for the length of its sides.
1 2/3 divided by 3/5

Which answer is the equation of the line represented in function notation?A.) f(x) = 3x
B.) f(x) = -3
C.) f(x) = 0.3x
D.) f(x) = 3

Answers

The answer would be D.

Hello there.

Which answer is the equation of the line represented in function notation?

D.) f(x) = 3

What is the slope of the line that has the equation 4x+2y=12

Answers

Subtract 4x from each side:
4x-4x+2y=-4x+12 collect like terms:
2y=-4x+12 divide each term by 2
y=-2x+6 so the slope is -2 hope this helps:)

The standard form of the equation of a parabola is y = 5x2 + 20x + 14. What is the vertex form of the equation?

A. y = 5(x + 2)2 + 10
B. y = 5(x + 2)2 - 6
C. y = 5(x + 4)2 - 6
D. y = 5(x + 4)2 + 10

Answers

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

Heather wants to make a 36% acid solution.She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?

Answers

Answer:

.72x + .27 = .36(x + 3)

Def and feg are supplementary .m

Answers

I think you posted this on accident

Segment xy represents the path of an airplane that passes through the coordinates (2,1)and (4,5). What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?

Answers

Steps:
1. Do the slope formula
Y2-Y1
--------
X2-X1
2.
5-1
------
4-2
3.
5-1=4
4-2=2
4. 4/2=2 so your slope is 2. When a line is parallel that means it has the same slope so, the slope is 2
5. Your answer is 2

Answer:

the answer is 2

Step-by-step explanation:

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