A bat and a ball cost 1.10 dollars in all. The bat cost 1.00 more than the ball . How much does the ball cost

Milo has 15 Dimes, 20 Nickels, 19 Pennies, 8 Quarters, and 1 Half Dollar. Which expression shows one way Milo can use some or al

erastova [34]

1(.50)+8(.25)+20(.05)+15(.10)=5.00

8 0

3 years ago

Read 2 more answers

The Millers receive a dinner bill for $122.75. The sales tax rate is 8%. They want to leave an 18% tip on the total bill after t

Aleks04 [339]

Answer:

they will start with $122.75 dollars to be paid and add on 8% of $122.75 which is $9.82.

the next step would be to add together 122.75+9.82 and you get $132.57

the last step woukd be to find what 18% of 132.57 is and that would be $23.86

add 132.57+23.86=$156.43

$156.43 is your answer

7 0

4 years ago

House of Mohammed sells packaged lunches, where their finance department has established a

blagie [28]

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

(a) R = -x² + 82·x

(b) $1,645

(c) The graph of R has a maximum because the leading coefficient of the quadratic function for R is negative.

(d) R = -1·(x - 41)² + 1,681

(e) 41

(f) $1,681

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

R = -x² + 82·x

Where, the constant term, c = 0

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

The revenue when 35 lunches are sold, R = $1,645

(c) The given function for R is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function R is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c, we have;

$\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}$

Therefore, for the revenue function, the x-value of the vertex, is; $\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}$

The revenue at the vertex is; $R_{max}$ = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

The revenue equation in the form, a·(x - h)² + k is; R = -1·(x - 41)² + 1,681

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

The number of lunches that must be sold for the maximum revenue to be achieved is 41 lunches

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

The maximum revenue of the company is $1,681

Learn more about the quadratic function here:

brainly.com/question/2814100

6 0

3 years ago

What is the image of (−3,−9) after a dilation by a scale factor of 1/3 centered at the origin.

denis-greek [22]

Answer:

(-1,-3)

Step-by-step explanation:

Multiply both x and y values by 1/3 or divide both by 3.

4 0

3 years ago

Solve for x. 3x+2 = 8x-1

Flauer [41]

So, your problem is ((3x+2))/4) = ((8x-1)/5)?

If so, X= 14/17

6 0

4 years ago