Dimitri wants to use his 18% employee discount to buy a video game that is priced at $69.99. A 6.5% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax?
A$55.37
B$56.54
C$61.12
D$61.94

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

They are the same

Step-by-step explanation:

Explanation: 3/4 and 6/8 are equal

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

The system's solution is (xy, y) = and the k-value is 0. (4, -3).

Something that someone values are referred to as values. The things that only a person or a company considers "important" are, in other words, their values. Examples include valor, integrity, freedom, and inventiveness.

Value includes both the material and emotional cost of that possession. Only the item's monetary price may be considered its worth. An object's value often remains constant, although it might change based on the person and how much the thing means to them personally.

If [tex]x = 4[/tex], then we can substitute [tex]4[/tex] for [tex]x[/tex] in the second equation to get:

[tex]4 + y = 1[/tex]

Subtracting [tex]4[/tex] from both sides, we get:

[tex]y = -3[/tex]

Now we substitute [tex]x = 4[/tex] and [tex]y = -3[/tex]  into the first equation to solve for [tex]k[/tex]:

[tex]6x + 8y = k[/tex]

[tex]6(4) + 8(-3) = k[/tex]

[tex]24 - 24 = k[/tex]

[tex]k = 0[/tex]

Therefore, the value of [tex]k[/tex] is [tex]0[/tex], and the solution to the system is [tex](x, y) = (4, -3)[/tex]

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Answer:

Number of R marbles=3.

Number of G marbles=5

Number of B marbles=2

Number of W marbles=1

after this then you add the marbles together ,

which will give you 11.

number of marbles\ total number of R marbles

3÷11

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

Answer:

maybe 2.9 hours

Step-by-step explanation:

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

Answer:

Step-by-step explanation:

did u get the answer?//

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Answer:

4in^3

Step-by-step explanation:

Answer:

18,24,30

Step-by-step explanation:

hope this helps

Answer:

c

Step-by-step explanation:

because that the hypotenuse 30 adjacent 18 and opposite 24

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

A. SSS

Step-by-step explanation:

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

Answer:

b

Step-by-step explanation:

Answer:

[tex]153\ in^2[/tex]

Step-by-step explanation:

1. Approach

Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.

2. Area of the trapezoid

The first figure is a trapezoid, calculate its area by using the following formula,

[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]

Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.

[tex]A_t = \frac{16 + 5}{2}(10)[/tex]

Simplify,

[tex]=\frac{21}{2}(10)[/tex]

[tex]=10.5(10)[/tex]

[tex]=105[/tex]

3. Area of the rectangle

The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,

[tex]A_r =(b)(h)[/tex]

Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,

[tex]A_r=(16)(3)[/tex]

Simplify,

[tex]=48[/tex]

4. Find the total area

Now add up the values for the area of each figure. The result will be the total area of the figure,

[tex]A_t + A_r = A[/tex]

Substitute,

[tex]105 + 48 = A[/tex]

Simplify,

[tex]153 = A[/tex]

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555

Answer: 16

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

The computation of the number of pens left in the storage room is shown below:

The total number of pens purchased is

= 14 boxes × 40 pens

= 560

ANd, the total pens take by the employee

= 40 employees × 2 pens

= 80

So, the remaining pens left is

= 540 - 80

= 480

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

Answer:

d

Step-by-step explanation: cause thats the only answer that will maked sense

Answer:

The answer is D

Step-by-step explanation:

I just took the quiz.

Answer:

they are vertical angles

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the assignment before hand thats the answer.