Dave rented a limousine for his wife's birthday. The hourly rate is $60. They used the limousine for 4 hours, plus Dave gave the driver a 10% tip. How much did he spend in total for the hourly charges plus tip?

Each bouquet contains 16 roses, 4 tulips, and 4 lilies.

To determine the number of roses, tulips, and lilies in each bouquet, we need to set up a system of equations based on the given information. Let's denote the number of roses as 'r', the number of tulips as 't', and the number of lilies as 'l'.

From the problem, we are told that there are twice as many roses as the other two flowers combined in each bouquet. This can be represented by the equation:

r = 2(t + l)

Next, we are given that the florist wants 24 flowers in each bouquet. So the total number of flowers is:

r + t + l = 24

Now we can solve these two equations simultaneously to find the values of 'r', 't', and 'l'.

Substituting the first equation into the second equation, we get:

2(t + l) + t + l = 24

3t + 3l = 24

t + l = 8

Solving this equation, we find t = 4 and l = 4. Plugging these values back into the first equation, we get:

r = 2(4 + 4)

r = 16

So each bouquet contains 16 roses, 4 tulips, and 4 lilies.

Answer: 2119 shirts

Step-by-step explanation:

Given : There were 3,515 shirts at the stadium store before the game.

After the game, there were 1,396 shirts left.

The by using SUBTRACTION OPERATION, the number of shirts were sold during the game will be:-

[tex]3515-1396=2119[/tex]

Hence, 2119 shirts were sold during the game.

Answer:

the answer is A which is 14. help this helps

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Given are 4 sequences and we have to find which one represents a geometric sequence.

We know that geometric sequence will be of the form

a, ar, ar^2,....

On scrutinising the options we get first option does not have the term multiplied by common ratio

OPtion I is incorrect

Option II is a geometric sequence with common ratio (1+i)

Option III is not a geometric sequence since the exponents are all real numbers

Option IV is also incorrect.

The function that represents a geometric sequence is [tex]A(n) = P(1 + i)^{n- 1}[/tex]

A geometric function is represented as:

[tex]A(n) = ar^n[/tex]

The above function can be modified as follows:

[tex]A(n) = a(r)^n[/tex]

Looking through the options, we have:

[tex]A(n) = a(r)^n[/tex] is similar to [tex]A(n) = P(1 + i)^{n- 1}[/tex]

Hence, the function that represents a geometric sequence is [tex]A(n) = P(1 + i)^{n- 1}[/tex]

Read more about geometric sequence at:

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To find the positive difference between the solutions of the quadratic equation x^2-4x-14=3x+16, we simplify it to x^2-7x-30=0 and use the quadratic formula. Calculating the solutions, we get 10 and -3, and the positive difference between these solutions is 13.

To find the positive difference between the solutions of the quadratic equation x2-4x-14=3x+16, we first need to simplify the equation by subtracting 3x and 16 from both sides to set it equal to zero.

x2 - 7x - 30 = 0

Now, we use the quadratic formula, which is x = ∛(-b ± √(b2 - 4ac))/(2a), to find the solutions for x, where a = 1, b = -7, and c = -30.

∛(-(-7) ± √((-7)2 - 4*1*(-30)))/(2*1)

The solutions are:

Calculating the square root and simplifying, we find:

The solutions then become:

The positive difference between the solutions 10 and -3 is:

10 - (-3) = 13

Therefore, the positive difference between the solutions is 13.

The positive difference between the two solutions is 13.

Start by rearranging the equation [tex]\(x^2 - 4x - 14 = 3x + 16\)[/tex] into standard quadratic form:

[tex]\[ x^2 - 4x - 14 = 3x + 16 \][/tex]

Combine like terms:

[tex]\[ x^2 - 4x - 14 - 3x - 16 = 0 \][/tex]

[tex]\[ x^2 - 7x - 30 = 0 \][/tex]

Now, to find the solutions to this quadratic equation, we can use the quadratic formula:

[tex]\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \][/tex]

For the equation [tex]\(x^2 - 7x - 30 = 0\)[/tex], the coefficients are:

[tex]\[ a = 1, \quad b = -7, \quad c = -30 \][/tex]

Let's substitute these values into the quadratic formula:

[tex]\[ x = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(1)(-30)}}{2(1)} \ \\\\\\[ x = \frac{7 \pm \sqrt{49 + 120}}{2} \ \\\\\\[ x = \frac{7 \pm \sqrt{169}}{2} \ \\\\\\[ x = \frac{7 \pm 13}{2} \][/tex]

So, the solutions are:

[tex]\[ x = \frac{7 + 13}{2} = 10 \ \\\\\\[ x = \frac{7 - 13}{2} = -3 \][/tex]

The positive difference between these solutions is:

[tex]\[ \text{Positive difference} = |10 - (-3)| = |10 + 3| = 13 \][/tex]

Therefore, the positive difference between the two solutions is 13.

To find the dimensions of the rectangle, we set up an equation using the area formula and solve for 'x'.

Let's assume that the width of the rectangle is 'x' yards. Since the length is 5 yards less than twice the width, we can express the length as (2x - 5) yards. The area of a rectangle is given by the formula A = length * width, so we can set up the equation:

A = (2x - 5) * x = 52

Expanding the equation:

2x^2 - 5x - 52 = 0

Using the quadratic formula or factoring, we can solve for 'x'. Once we find the value of 'x', we can substitute it back into the expressions for length and width to find the dimensions of the rectangle.

Dimensions of the rectangle: Width = x yards, Length = (2x - 5) yards

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Answer:

990

Step-by-step explanation:

Joe is positive 986 yards

Ziggy is negative 118 yards

the total difference is 986 +118 = 1,104 yards