1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stolb23 [73]
3 years ago
11

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses

$3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

x=20

Step-by-step explanation:

Let  = a 30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5 x

    +2x         +2x

-----------------------

50 = 40 + 0.5 x

-40   -40

-------------------

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

You might be interested in
Find the surface area of each figure.
timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

6 0
2 years ago
Preston bought 3 1/4 gallons of milk that cost $2.70
allsm [11]

Answer:

umm search on google,use caculater soup

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A cube has volume 216cm find total surface area of cube​
Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres cm^{2}, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume  = Edge * Edge * Edge = length * width * depth = Edge^{3}  (remember: all edges are equal in this case)

so Edge = \sqrt[3]{Volume}

in your example Edge = \sqrt[3]{216} = 6cm

So the surface of one side is 6*6 = 36cm^{2}

There are 6 sides in total, so the total surface is 6*36 = 216 cm^{2}

Note: I call them "edges" but in case of a cube most say just "length"

3 0
3 years ago
What is the center and radius?
lozanna [386]

Answer:

Center: the middle of the circle. Radius: the fixed distance from the center to any point on the circle is called the radius.

Step-by-step explanation:

The center is a fixed point in the middle of the circle; usually given the general coordinates (h, k). The fixed distance from the center to any point on the circle is called the radius.

4 0
3 years ago
Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.
kenny6666 [7]

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * <em>3</em>√2

so as we calculate it, 2 * 2* 5 * 2 * <em>3</em> = 120 and √2 * √3 = 6


4 0
3 years ago
Read 2 more answers
Other questions:
  • I do not understand theses... Please help!
    10·2 answers
  • Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
    6·1 answer
  • Divide 3x^4-3x^3-4x^2-4x by x^2-2x
    10·1 answer
  • Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point)
    6·2 answers
  • On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h
    9·1 answer
  • How do you multiply 342 and 13.5
    13·1 answer
  • ∠1 and ∠2 are complementary angles. If ∠1 measures 35º, what is the measure of ∠2?​
    15·1 answer
  • Please answer the following in the image below :)
    14·2 answers
  • What is the slope intercept form of a line perpendicular to the line y= -3/2x -7 which passes through (-3,-4)?
    10·2 answers
  • What is the price of a $35 taxi ride plus 15% tip
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!