Given:
Amount spent on 2 DVDs = $41.75
Sales tax = $3.15
Coupon = $1.00 off
To find:
The cost of each DVD.
Solution:
Let x be the cost of each DVD.
Then, cost of two DVDs = 2x
Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount
[tex]41.75=2x+3.15-1.00[/tex]
[tex]41.75=2x+2.15[/tex]
[tex]41.75-2.15=2x[/tex]
[tex]39.6=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{39.6}{2}=x[/tex]
[tex]19.8=x[/tex]
Therefore, the cost of each DVD is $19.8.
If 24 marbles have a mass of 60g what would be the mass of 60 marbles
Answer:
300 g
Step-by-step explanation:
First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.
i.e.
60 / 12 = 5
5 x 60 = 300
Jason had 246 dollars to spend on 6 books.after buying them he had 12 dollars. How much did each book cost?
Answer:
1 book = 41 dollars.
Step-by-step explanation:
If you divide your whole by your part, then you will get how much 1 book is.
how i did it:
246 divided by 6 = 41.
1 book = 41 dollars
what are the like terms in these?
3+5y-2g+7y
9g+5-2g+8x
Answer:
so the first one is 3+12y−2g
and the second one is 7g+5+8x
Step-by-step explanation:
im rlly rlly sorry if its wrong !!
If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?
hope it will help you..........
Question 1
1 pts
A furniture company has 15 trucks that can make
120 deliveries each day. How many trucks would
they need to make 160 deliveries each day?
PLEASE HELP ITS DUE BY MIDNIGHT I HAVE LIKE 30 MINS!!! The linear regression for this print-out relates the amount of oxygen in your spaceship measured in liters as a function of time In hours
Interpret the meaning of the slope in the context of the problem
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to interpret the meaning of the slope
The slope generally refers to the change in y values with corresponding change in x value
with respect to this question, we can see that the slope is negative
What this mean is that the rate of change in the level of oxygen measured in liters is decreasing with an increase in the time
This means that as more time elapses, more oxygen is used up leading to a decrease in the liters of oxygen present
Math problem\James and lucas committed in a climbing competition and coming back down. James climbed at the average 3 mph and came back down at 4 mph. Lucas climb at the average of 2 mph and came back down at 5 mph. If the path from the bottom to the top was 2 miles how much time did it take for both friends to finish and who was faster.
Answer:
1.166666 ; 1.4 ; James
Step-by-step explanation:
Given that:
Path from bottom to top = distance = 2 miles
Time taken = distance /speed
James :
To climb up:
Time = 2 / 3 = 2/3 hours
Coming down :
Time = 2 / 4 = 1/2 hours
Total time taken = 2/3 + 1/2 = 1.166666 hours
1.166666 * 60 = 70 minutes
Lucas :
To climb up:
Time = 2 / 2 = 1 hour
Coming down :
Time = 2 / 5 = 2/5 hours
Total time taken = 2/3 + 1/2 = 1.4 hours
1.4 * 60 = 84 minutes
James was faster :
1.166666 < 1.4
An airplane prepares for landing. When it begins its descent towards the airport, the plane's
altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000
feet. Write an equation for the altitude of the plane. What will the altitude of the plane be after
descending for 12 minutes?
The required equation represents the descent motion of the airplane is y = 27000 - 1333.333x and 11000 feet.
Given that,
An airplane prepares for landing. When it begins its descent towards the airport, the plane's altitude is 27,000 feet. After descending at a steady rate for 6 minutes, its altitude is 19,000 feet. Write an equation for the altitude of the plane.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the motion of the airplane,
m = 27000 - 19000 / 6 = 1333.33
The equation of the plane is given as,
y - y₁ = m (x - x₁)
Substitute the value in the above equation,
y - 27000 = -1333.33[x - 0]
y = 27000 - 1333.33x
Now put x = 12 in above equation,
y = 27000 - 1333.33[12]
y = 11000
Thus, the required equation represents the descent motion of the airplane as y = 27000 - 1333.333x and 11000 feet.
Learn more about slopes here:
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-10 is 9 less than a number w
Answer:
-1
Step-by-step explanation:
To figure this answer out, you add 9 to -10, which is -1
Hope this helps
PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER
-2(y+4)-2y >8
Answer:
-2(y+4)-2y >8
-2y-8-2y>8
-4y-8>8
-4y<8+8
When you move a number on the other side it changes the side then > will become <
-4y<16
-4y/-4<16/-4
y<-4
54 divived by 32 i really need this help!
Answer:
1.6875
Step-by-step explanation:
What expression represents the value of y?
The expression that represents the solution of y is y = √wz
How to determine the value of y?The triangle represents the given parameter
Also, we can see that the figure combines two right-angled triangles is
By the theorem of the right-angled triangle
w : y = y : z
Express the above ratio as a fraction
So, we have the following equation
w / y = y / z
Cross multiply in the above equation
So, we have
y² = wz
Take the square roots
y = √wz
Hence, the solution of y is y = √wz
Read more about right-angled triangle at
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what does y equal?......
Answer:
37
Step-by-step explanation:
On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inches
between the two walls, how many feet separate the walls?
Answer:
56 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
What is the 87th term of the arithmetic sequence of 12,0,-12
Step-by-step explanation:
12,0,-12
[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]
James purchased 3 pounds of steak for $21. Which equation can be used to determine the cost, y, to purchase
x pounds of steak?
Answer:
i belive its A
Step-by-step explanation:
y= 7 x or 21=7x3
y = 21 x=3
21 = 7x3
7x3=21
Write an algebraic expression for s decreased by nine
Answer:s-9
Step-by-step explanation: Decreased means subtract . and you are subtracting s from 9.
Hope it helps
CAN SOMEONE PLEASE HELP ME???
Answer:
the correct answer is number 3.
I'm 10000000000% sure.
the explanation is in the pictures.
The movie theater charges a 3.5% convenience fee to buy your tickets online. If the price for tickets comes to $36.00, what will the total cost be including the convenience fee?
Answer:
$37.26
Hope this helps.
Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?
Answer:
j
Step-by-step explanation:
Need help please asap
Answer:
A
Step-by-step explanation:
solve for y and x explain your thinking
Answer: X=2.5, Y= 6.5
Step-by-step explanation:
It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
Answer:
Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
Step-by-step explanation:
We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
First we will solve terms inside the bracket
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]
Replacing the term:
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]
Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket
[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]
Now, combine like terms
[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]
Now, multiply all terms with 2
[tex]42x-100y-360[/tex]
So, Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
What is (2 × 0.1) + (3 × 0.01) + (6 × 0.001) in word form?
Answer:
two hundred thirty-six thousandths
Step-by-step explanation:
I just learned this kind of confused :(
Answer:
9.4247
Step-by-step explanation:
c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.
The area of a circle is 9π
if and only if, its radius is 3.
true or false
Can you please help me I am struggling so much. what does n equal in this equation?
-6 > n/15
Answer:
n < − 90
Step-by-step explanation:
hope this helps and have a great day!
The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. A rectangle. The top of the rectangle is labeled (8 x minus 1) inches. The right side is labeled (2 x + 4) inches. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches
Answer:
1.) 2(8x-1)+2(2x+4)
2.) 16x-2+4x+8
3.) (20x+6)
Step-by-step explanation:
The perimeter of the rectangle is (20x + 6)inches
The perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2l + 2w
Given that;
l = 8x - 1
w = 2x + 4
Susbtitute
P = 2(8x - 1) + 2(2x + 4)
Expand
P = 2(8x) - 2(1) + 2(2x) + 2(4)
P = 16x - 2 + 4x + 8
P = 16x + 4x - 2 + 8
P = 20x + 6
Hence the perimeter of the rectangle is (20x + 6)inches
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Simplify (6⁴)³
A. b
B. b³
C. b⁹
D. b¹²
