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2 years ago

" A store purchased a DVD for $12.00 and sold it

Mathematics

2 answers:

cupoosta [38]2 years ago

4 0

What is the topic? And formula to solve this?

Veseljchak [2.6K]2 years ago

3 0

Sold DVD for 50% more of the purchase price of $12
so 12 + 50/100 (12)
=12+6
18

So customer will pay 7% tax on $18

Hence he will pay 18 (1.07)$
= $19.26

Hope this helps

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What expression is equivalent to 5 (x+6)-2x+9.

myrzilka [38]

5x+30- 2x+9

3x+39 is the expression.

7 0

2 years ago

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Gnesinka [82]

Answer:

Simplify

$Q-[R+S]-T$

The answer is:

$10m+5n-24$

Step-by-step explanation:

We have the expressions:

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8$

Now, we need simplify:

$Q-[R+S]-T$

We need to replace each term by the expressions:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

We need to remember the rule of signs:

$-/-=+$

$-/+=-$

$+/+=+$

With this in mind we solve the parentheses:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

$7m+3n-[11-2m+n+5]+m+3n-8$

$7m+3n-11+2m-n-5+m+3n-8$

let's group common terms

$7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8$

We must add and subtract common terms:

$7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24$

The answer is:

$10m+5n-24$

7 0

3 years ago

Which problem can be solved by multiplying 8 X 4?

Natasha_Volkova [10]

Answer: there are 8 cars. Each car has 4 tires. How many tires are there in all?

In this case you’ll have to do 8 x 4 because there are 8 cars and to know how many tires you’ll have to count 4 times the number of cars, 8.

Hope this helped and pls mark as brainliest!

~ Luna

4 0

3 years ago

Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (–2, 2)? Check all that apply.

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

As we go from (–2, 2) to (3, 4), x increases by 5 and y increases by 4. Thus, the slope of the line through (–2, 2) and (3, 4) is

m = rise / run = 4/5.

Use the slope-intercept form of the equation of a straight line:

y = mx + b becomes 4 = (4/5)(3) + b. Multiplying all three terms by 5, we eliminate the fraction: 20 = 12 + b. Thus, b = 8, and the equation of the line through (–2, 2) and (3, 4) is y = (4/5)x + 8.

A line parallel to this one would have the form y = (4/5)x + b; note that the slopes of these two lines are the same, but the y-intercept, b, would be different if the two lines do not coincide.

Unfortunately, you have not shared the ordered pairs given in this problem statement.

You could arbitrarily let b = 0. Then the parallel line has equation

y = (4/5)x; if x = 3, then y = (4/5)(3) = 12/5, and so (3, 12/5) lies on the parallel line.

3 0

2 years ago

Read 2 more answers

Find the slope of the tangent line to the given polar curve at the point specified by the value of θ

MariettaO [177]

The given curve has equation

r(θ) = 9 + 8 cos(θ)

and its derivative is

dr/dθ = -8 sin(θ)

When θ = π/3, we have r (π/3) = 13, and dr/dθ (π/3) = -4√3.

Differentiate these with respect to θ :

dy/dθ = dr/dθ sin(θ) + r(θ) cos(θ)

dx/dθ = dr/dθ cos(θ) - r(θ) sin(θ)

In polar coordinates, we have

y(θ) = r(θ) sin(θ)

x(θ) = r(θ) cos(θ)

and when θ = π/3, we have y (π/3) = 13√3/2 and x (π/3) = 13/2.

The slope of the tangent line to the curve is dy/dx. By the chain rule,

dy/dx = dy/dθ • dθ/dx = (dy/dθ) / (dx/dθ)

dy/dx = (dr/dθ sin(θ) + r(θ) cos(θ)) / (dr/dθ cos(θ) - r(θ) sin(θ))

When θ = π/3, the slope is

dy/dx = (-4√3 sin(π/3) + 13 cos(π/3)) / (-4√3 cos(π/3) - 13 sin(π/3))

dy/dx = (-4√3 (√3/2) + 13 (1/2)) / (-4√3 (1/2) - 13 (√3/2))

dy/dx = - 1/(17√3)

So, the tangent line has slope -1/(17√3) and passes through (13/2, 13√3/2). Using the point-slope formula, its equation is

y - 13√3/2 = -1/(17√3) (x - 13/2)

y = -(x - 338)/(17√3)

4 0

2 years ago